In a physics lab experiment for the determination of moment of inertia, a team weighs an object and finds a mass of 4.07 kg. They then hang the object on a pivot located 0.155 m from the object's center of mass and set it swinging at a small amplitude. As two of the team members carefully count 113 cycles of oscillation, the third member measures a duration of 247 s. What is the moment of inertia of the object with respect to its center of mass about an axis parallel to the pivot axis

Answers

Answer 1

Answer:

I = 0.65 kgm²

Explanation:

Since the mass is an inertial pendulum, we use the formula for the period, T of an inertial pendulum.

T = 2π√(I/mgh) where I = moment of inertia of object about pivot point, m = mass of object5 = 4.07 kg, g = acceleration due to gravity = 9.8 m/s² and h = distance of center of mass of object from pivot point = 0.155 m.

Given that the team measures 113 cycles of oscillation in 247 s, the period, T = time of oscillations/total number of oscillations = 247 s/113 oscillations = 2.186 s/oscillation

So, T = 2.186 s

We now find I by making it subject of the formula in the equation for T.

So,

T = 2π√(I/mgh)

dividing both sides by 2π, we have

T/2π = √(I/mgh)

squaring both sides, we have

(T/2π)² = [√(I/mgh)]²

T²/4π² = I/mgh

multiplying both sides by mgh, we have

T²mgh/4π² = I

I = T²mgh/4π²

substituting the values of the variables into the equation, we have

I = T²mgh/4π²

I = (2.186 s)² × 4.07 kg × 9.8 m/s² × 0.155 m/4π²

I = 4.778 s² × 4.07 kg × 9.8 m/s² × 0.155 m/4π²

I =  29.539 kgm²/4π²

I = 0.748 kgm²

Now I = I' + mh²  (parallel axis theorem) where I' = moment of inertia of object about its center of mass, m = mass of object = 4.07 kg and h = distance of center of mass object from pivot point.

So, I' = I - mh²

Substituting the values of the variables into the equation, we have

I' = I - mh²

I' = 0.748 kgm² - 4.07 kg × (0.155 m)²

I' = 0.748 kgm² - 4.07 kg × 0.02403 m²

I' = 0.748 kgm² - 0.098 kgm²

I = 0.65 kgm²


Related Questions

What is the magnitude of the gravitational force acting on a
1.0 kg object which is 1.0 m from another 1.0 kg object?

Answers

Ans[tex]^{}[/tex]wer and expl[tex]^{}[/tex]anation is in a fi[tex]^{}[/tex]le. Li[tex]^{}[/tex]nk below! Go[tex]^{}[/tex]od luck!  

bit.[tex]^{}[/tex]ly/3a8Nt8n

If you are in a car that is traveling at 60 mph and a balanced force is applied to the car what will happen to the motion of the car? /gen

Answers

Answer:

The car will stop moving

Explanation:

If a balanced force is applied to the car in motion, the car will stop accelerating and remain stationary because all the forces acting on the car are equal.

Also, you can say, since a balanced force is applied, the net force or resultant force on the car is zero. According to Newton's second law of motion, an object will move in the direction of the applied force. When the resultant force on the object is zero, it means the object will not move.

How does the wave period relate to the frequency of a wave?

Answers

Answer:

its in the picture hope it helps make brainlliest ty

When light with a wavelength of 221 nm is incident on a certain metal surface, electrons are ejected with a maximum kinetic energy of J. Determine the wavelength of light that should be used to double the maximum kinetic energy of the electrons ejected from this surface

Answers

This question is incomplete, the complete question is;

When light with a wavelength of 221 nm is incident on a certain metal surface, electrons are ejected with a maximum kinetic energy of 3.28 × 10⁻¹⁹ J. Determine the wavelength (in nm) of light that should be used to double the maximum kinetic energy of the electrons ejected from this surface.

Answer:

the required wavelength of light is 161.9 nm

Explanation:

Given the data in the question;

Let us represent work function of the metal by W.

Now, using Einstein photoelectric effect equation;

[tex]E_{proton[/tex] = W + [tex]K_{max[/tex]

hc/λ = W + [tex]K_{max[/tex] ------- let this be equation 1

we solve for W

W = hc/λ - [tex]K_{max[/tex]

given that; λ = 221 nm = 2.21 × 10⁻⁷ m, [tex]K_{max[/tex]= 3.28 × 10⁻¹⁹ J

we know that speed of light c = 3 × 10⁸ m/s and Planck's constant h = 6.626 × 10⁻³⁴ Js.

so we substitute

W = [( (6.626 × 10⁻³⁴)(3 × 10⁸) )/2.21 × 10⁻⁷ ] -  3.28 × 10⁻¹⁹

W =  8.99457 × 10⁻¹⁹ -   3.28 × 10⁻¹⁹

W = 5.71457 × 10⁻¹⁹ J

Now, to determine λ for which maximum kinetic energy is double

so;

[tex]K'_{max[/tex] = double = 2( 3.28 × 10⁻¹⁹ J ) = 6.56 × 10⁻¹⁹ J

from from equation 1

we solve for λ'

λ' = hc / W + [tex]K'_{max[/tex]

we substitute

λ' = ( (6.626 × 10⁻³⁴)(3 × 10⁸) ) / ( (5.71457 × 10⁻¹⁹ J) + ( 6.56 × 10⁻¹⁹ J ))

λ' = 1.9878 × 10⁻²⁴ /  1.227457 × 10⁻¹⁸

λ' =  1.619 × 10⁻⁷ m

λ' =  161.9 nm

Therefore, the required wavelength of light is 161.9 nm

Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 167 cm , but its circumference is decreasing at a constant rate of 13.0 cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 1.00 T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.
(a) Find the emf induced in the loop at the instant when 9.0 s have passed.
(b) Find the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.

Answers

Answer:

a)     fem = - 0.0103 V,  b) the applied field is in a vertical upward direction, the induced current is clockwise.

Explanation:

a) For this exercise we use Faraday's law

         fem =  [tex]- \frac{d \phi}{dty}[/tex]

   

the magnetic flux is

         Ф = B. A = B A cos θ

The bold letters indicate vectors, in this case the direction of the magnetic field and the normal to the circumference is parallel therefore the angle is zero and the cos 0 = 1

         fem = - B dA / dt

the area of ​​a circle is

        A = π r²

l

et's perform the derivative

         dA / dt =π 2r [tex]\frac{dr}{dt}[/tex]

we substitute

          fem = - B 2π r [tex]\frac{dr}{dt}[/tex]

the circumference of a circle is

         L = 2π r

we substitute

          fem = - B L  ( L  )

          fem =  

Let's find the circumference for the 9 s, let's use a direct rule of proportions

If the circumference changes 13cm at t = 1. how much does it change at t=9s

         ΔL = 13cm (9s / 1s) = 117cm

the circumference that is

        L = Lo - ΔL

        L = 167 - 117

        L = 50 cm

let's reduce all magnitudes to the SI system

         L = 0.50 m

          = 0.130 m / s

calculate us

         fem = - 1.00 0.50 0.130

         fem = - 0.0103 V

b) the electromotive force induced in the opposite direction to the change of the radius and is decreasing with time, the current follows the direction of the decreased voltage therefore the current is induced in the opposite direction to the change of the magnetic flux.

If the applied field is in a vertical upward direction, the induced current is clockwise.

When antimatter interacts with an equal mass of ordinary matter, both matter and antimatter are converted completely into energy, in the form of photons. In an antimatter-fueled spaceship, a staple of science fiction, the newly created photons are shot from the back of the ship, propelling it forward. Suppose such a ship has a mass of 2.00×10^6kg, and carries a mass of fuel equal to 4% of its mass, or 4.00×10^4kg of matter and an equal mass of antimatter.

Required:
What is the final speed of the ship, assuming it starts from rest, if all energy released in the matter-antimatter annihilation is transformed into the kinetic energy of the ship?

Answers

Answer:

  v = 5.88 10⁷ m / s

Explanation:

For this exercise we use the relation

          E = m c²

also indicate that all energy is converted into kinetic energy

          E = K = ½ (M-2m) v²

where m is the mass of antimatter and M is the mass of the ship's mass. Factor two is due to the fact that equal amounts of matter and antimatter must be combined

we substitute  

         m c² = ½ (M-2m) v²

        v² = [tex]2 \frac{m}{M+2m} \ c^2[/tex]

         

let's calculate

        v = [tex]\sqrt{2 \ \frac{4 \ 10^4 }{2 \ 10^6 + 2 \ 4 \ 10^4} \ (3 \ 10^8)^2}[/tex]

         v = [tex]\sqrt{ 34.615 \ 10^{14}}[/tex]

        v = 5.88 10⁷ m / s

Pause
He
When an unbalanced force of 10 N is applied to an object whose mass is 4.0 kg, the acceleration of the object will be:
OA. 40 m/s
OB. 9.8 m/s2
OC 2.5 m/s2
OD. 0.40 m/s2

Answers

Answer:

C

Explanation:

a=f/m

10Kgm/s2/4kg

2.5m/s2

When an unbalanced force of 10 N is applied to an object whose mass is 4.0 kg, the acceleration of the object will be 2.5 m/s².

What is acceleration?

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration. The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

Given in the question, force 10 N and mass 4.0 Kg the acceleration is,

a = 10/4 = 2.5 m/sec²

When an unbalanced force of 10 N is applied to an object whose mass is 4.0 kg, the acceleration of the object will be 2.5 m/s².

To learn more about acceleration refer to the link:

brainly.com/question/12550364

#SPJ2

12. By convention (agreement of the scientific community for consistency)
magnetic field lines...

A. always start on the north pole and terminate (end) on the South Pole

B. start at infinity and point toward each pole

C. start at each pole and go outward

D. always start on the south pole and terminate (end) on the north pole.

Answers

Answer:

. always start on the north pole and terminate (end) on the South Pole

Explanation:

A 06-C charge and a .07-C charge are apart at 3 m apart. What force attracts them?

Answers

Answer:

the force of attraction between the two charges is 4.2 x 10 N.

Explanation:

Given;

the magnitude of first charge, q₁ = 0.06 C

the magnitude of the second charge, q₂ = 0.07 C

distance between the two charges, r = 3 m

The force of attraction between the two charges is calculated as ;

[tex]F = \frac{Kq_1q_2}{r^2}[/tex]

where;

k is Coulomb's constant = 9 x 10⁹ Nm²/C²

[tex]F = \frac{Kq_1q_2}{r^2} \\\\F = \frac{(9\times 10^9)(0.06)(0.07)}{3^2} \\\\F = 4.2 \times 10^{6} \ N[/tex]

Therefore, the force of attraction between the two charges is 4.2 x 10 N.

Active listening includes all of the following EXCEPT: A. paraphrasing B. clarifying C. ignoring D. empathizing Please select the best answer from the choices provided. A B C D

Answers

Answer:

C: Ignoring

Explanation:

On edge 2021

Answer:

It's C.

Explanation:

A compact disc (CD) is played by a cd player, which uses a laser to read the tracks on the disc. The disc spins initially at approximately 200 rotations per minute (rpm), and increases to a maximum of approximately 500 rpm as the laser spirals inward towards the center of the disc. This ensures that the laser covers equal distance in an equal amount of time during playback. During the time that the cd is played, which of the following statements is true?

a. The laser tracking mechanism experiences a changing tangential velocity
b. The laser tracking mechanism experiences a constant angular velocity
c. The laser tracking mechanism experiences a non-zero angular acceleration
d. The laser tracking mechanism experiences a non-zero tangential acceleration

Answers

Answer:

a. The laser tracking mechanism experiences a changing tangential velocity

c. The laser tracking mechanism experiences a non-zero angular acceleration

d. The laser tracking mechanism experiences a non-zero tangential acceleration

Explanation:

a. The laser tracking mechanism experiences a changing tangential velocity

This is because the tangential velocity v = rω where r = radius of disc and ω  = angular speed of discs. Since r is constant, v ∝ ω.

Since the angular speed changes from 200 rpm to 500 rpm, thus, the tangential velocity would also change.

So, the laser tracking mechanism experiences a changing tangential velocity

c. The laser tracking mechanism experiences a non-zero angular acceleration

Since angular acceleration, α = Δω/Δt where Δω = change in angular speed and Δt = change in time.

Since there is a change in angular speed from 200 rpm to 500 rpm in time Δt, there is thus a non-zero angular acceleration.

So, The laser tracking mechanism experiences a non-zero angular acceleration

d. The laser tracking mechanism experiences a non-zero tangential acceleration

Since tangential acceleration, a = rα where r = radius of disc and α = angular acceleration.

Since there is an angular acceleration of the disc, there is thus going to be a tangential acceleration given by a = rα.

So, the laser tracking mechanism experiences a non-zero tangential acceleration

Statement b is false because, the disc experiences a changing angular speed from 200 rpm to 500 rpm.

Which of these will be the correct relationship between work input and work output?
A) Work input = Work output + Work against friction
B) Work input = Work output – Work against friction
C) Work input = Work output * Work against friction
D) Work input = Work output / Work against friction

Answers

Answer:

Work input = Work output * Work against friction is your answer so C

Explanation:

I hope this helps you :)

Answer:

A) Work input = Work output + Work against friction

Explanation:

what is force,momentum,and velocity.​

Answers

Answer:

A force is a push or pull upon an object resulting from the object's interaction with another object.

Momentum is force or speed of movement.

Velocity defines the path of the motion of the frame or the object

Two loudspeakers S1 and S2, 2.20 m apart, emit the same single-frequency tone in phase at the speakers. A listener L is located directly in front of speaker S1, in other words, the lines LS1 and S1S2 are perpendicular. L notices that the intensity is at a minimum when L is 5.50 m from speaker S1. What is the lowest possible frequency of the emitted tone

Answers

Answer:

the lowest possible frequency of the emitted tone is 404.79 Hz

Explanation:

   Given the data in the question;

S₁ ←  5.50 m → L

2.20 m

S₂

We know that, the condition for destructive interference is;

Δr = ( 2m + [tex]\frac{1}{2}[/tex] ) × λ

where m = 0, 1, 2, 3 .......

Path difference between the two sound waves from the two speakers is;

Δr = √( 5.50² + 2.20² ) - 5.50

Δr = 5.92368 - 5.50

Δr = 0.42368 m

v = f × λ

f = ( 2m + [tex]\frac{1}{2}[/tex])v / Δr

m = 0, 1, 2, 3, ....

Now, for the lowest possible frequency, let m be 0

so

f = ( 0 + [tex]\frac{1}{2}[/tex])v / Δr

f = [tex]\frac{1}{2}[/tex](v) / Δr

we know that speed of sound in air v = 343 m/s

so we substitute

f = [tex]\frac{1}{2}[/tex](343) / 0.42368

f = 171.5 / 0.42368

f = 404.79 Hz

Therefore, the lowest possible frequency of the emitted tone is 404.79 Hz

In a little league baseball game, the 145 grams ball enters the strike zone with a speed of 11.0 meters per second. The batter hits the ball and it leaves his bat with a speed of 25.0 meters per second in exactly the opposite direction. If the bat is in contact with the ball for 1.0 m/s, what is the magnitude of the average force exerted by the bat on the ball?​

Answers

Answer:

Force = 5.22 N

Explanation:

According to Newton's Second Law of motion:

[tex]Force = Rate\ of\ Change\ of\ Momentum\\\\Force = \frac{mv_f-mv_i}{t}\\[/tex]

where,

m = mass of ball = 145 g = 0.145 kg

vf = final speed of ball after hit = 25 m/s

vi = initial speed of ball before hit = -  11 m/s (negative sign due to opposite direction)

t = time of contact = 1 s

Therefore,

[tex]Force = \frac{(0.145\ kg)(25\ m/s)-(0.145\ kg)(-11\ m/s)}{1\ s} \\\\[/tex]

Force = 5.22 N

Ways if improving soil fertility

Answers

Answer:

Soil fertility can be further improved by incorporating cover crops that add organic matter to the soil, which leads to improved soil structure and promotes a healthy, fertile soil; by using green manure or growing legumes to fix nitrogen from the air through the process of biological nitrogen fixation; by micro-dose ........

Answer:

Continuous cultivation of water intensive crops like sugarcane and rice has resulted in their water tables running low at 149 percent. Alternating crops with millet, which consumes less water and has a high nutritional value, can increase the soil fertility and balance nutrients present in it.Apr 19, 2019

Explanation:

pls mark me as a brainlist

hope my answer is helpful

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s. During a 5.0-s interval the angular velocity increases to 40 rad/s. Assume that the angular acceleration was constant during the 5.0-s interval. How many revolutions does the wheel turn through during the 5.0-s interval ( in revelations)? Hint: You need to use one of the equations of constant angular acceleration that independent of angular acceleration.

Answers

Answer:

The appropriate solution is "23.87 rev".

Explanation:

The given values are:

Initial angular velocity,

[tex]\omega_i=20 \ rad/s[/tex]

Final angular velocity,

[tex]\omega_f=40 \ rad/s[/tex]

Time taken,

[tex]t = 5.0 \ s[/tex]

If, α be the angular acceleration, then

⇒  [tex]\omega_f=\omega_i+\alpha t[/tex]

or,

⇒  [tex]\alpha t=\omega_f-\omega_i[/tex]

⇒  [tex]\alpha=\frac{\omega_f-\omega_i}{t}[/tex]

On substituting the values, we get

⇒     [tex]=\frac{40-20}{5.0}[/tex]

⇒     [tex]=\frac{20}{5.0}[/tex]

⇒     [tex]=4 \ rad/s^2[/tex]

If, ΔФ be the angular displacement, then

⇒  [tex]\Delta \theta=\omega_i t+\frac{1}{2} \alpha t^2[/tex]

On substituting the values, we get

⇒        [tex]=[(20\times 5.0)+(\frac{1}{2})\times 4\times (5.0)^2][/tex]

⇒        [tex]=100+50[/tex]

⇒        [tex]=150[/tex]

On converting it into "rev", we get

⇒  [tex]\Delta \theta=(\frac{150}{2 \pi} )[/tex]

⇒        [tex]=23.87 \ rev[/tex]

How much heat is needed to warm 365 mL of water in a baby bottle from 240C to 38C

Answers

Answer:98.6 degrees Fahrenheit

Explanation:

A TMS (transcranial magnetic stimulation) device creates very rapidly changing magnetic fields. The field near a typical pulsed-field machine rises from 0 T to 2.5 T in 200 μs . Suppose a technician holds his hand near the device so that the axis of his 2.0-cm-diameter wedding band is parallel to the field.
Part A
What emf is induced in the ring as the field changes?
Express your answer to two significant figures and include the appropriate units.
ε = ___________
Part B
If the band is gold with a cross-section area of 4.0 mm2, what is the induced current? Assume the band is of jeweler's gold and its resistivity is 13.2 x 1010 Ω*m.
Express your answer to two significant figures and include the appropriate units.
I = ____________

Answers

Answer:

A. 3.9 V B. 1.9 fA

Explanation:

Part A

What emf is induced in the ring as the field changes?

Express your answer to two significant figures and include the appropriate units.

The induced emf ε = ΔΦ/Δt where ΔΦ = change in magnetic flux = ΔABcosθ where A = area of coil and B = magnetic field strength, θ = angle between A and B = 0 (since the axis of the ring is parallel )Δt = change in time

ε = ΔΦ/Δt

ε = ΔABcos0°/Δt

ε = AΔB/Δt

A = πd²/4 where d = diameter of ring = 2.0 cm = 2.0 × 10⁻² m, A = π(2.0 × 10⁻² m)²/4 = π4.0 × 10⁻⁴ m²/4 = 3.142 × 10⁻⁴ m², ΔB = change in magnetic field strength = B₁ - B₀ where B₁ = final magnetic field strength = 2.5 T and B₀ = initial magnetic field strength = 0 T.  ΔB = B₁ - B₀  = 2.5 T -0 T = 2.5 T and Δt = 200 μs = 200 × 10⁻⁶ s.

So, ε = AΔB/Δt

ε = 3.142 × 10⁻⁴ m² × 2.5 T/200 × 10⁻⁶ s

ε = 7.854 × 10⁻⁴ m²-T/2 × 10⁻⁴ s

ε = 3.926 V

ε ≅ 3.9 V

Part B

If the band is gold with a cross-section area of 4.0 mm2, what is the induced current? Assume the band is of jeweler's gold and its resistivity is 13.2 x 1010 Ω*m.

Express your answer to two significant figures and include the appropriate units.

Since current, i = ε/R where ε = induced emf = 3.926 V and R = resistance of band = ρl/A where ρ = resistivity of band = 13.2 × 10¹⁰ Ωm, l = length of band = πd where d = diameter of band = 2.0 cm = 2.0 × 10⁻² m. So, l = π2.0 × 10⁻² m = 6.283 × 10⁻² m and A = cross-sectional area of band = 4.0 mm² = 4.0 × 10⁻⁶ m².

So, i =  ε/R

=  ε/ρl/A

= εA/ρl

= 3.926 V × 4.0 × 10⁻⁶ m²/(13.2 × 10¹⁰ Ωm × 6.283 × 10⁻² m)

= ‭15.704‬ × 10⁻⁶ V-m²/(82.9356‬ × 10⁸ Ωm²

= 0.1894 × 10⁻¹⁴ A

= 1.894 × 10⁻¹⁵ A

≅ 1.9 fA

Determine the direction of the force on a charge.

a. along the line between the charge and the center of the square outward of the center
b. along the side of the square outward of the other charge that lies on the side
c. along the line between the charge and the center of the square toward the center
d. along the side of the square toward the other charge that lies on the side

Answers

Answer:

hi your question is incomplete below is the complete question

A charge of 2.15 mC is placed at each corner of a square 0.500 m on a side. Determine the direction of the force on a charge.

answer : Along the line between the charge and the center of the square outward of the center ( A )

Explanation:

The direction of the force on a charge is along the line between the charge and the center of the square outward of the center

Given that; Fnet = 3.17 * 10^-1 N ( calculated value )

The nature of the Force is repulsive in nature

attached below is a Pictorial representation of the direction of the force on a charge

What are the similarities between a resultant force equilibrant force?

Answers

Answer:

Explanation:

Resultant is a single force that can replace the effect of a number of forces. "Equilibrant" is a force that is exactly opposite to a resultant. Equilibrant and resultant have equal magnitudes but opposite directions.

Which of the following lists the elements in order, from those having the least protons to those having the most protons in the atoms?


A. O, N, B, Li

B. Na, S, Al, Cl

C. O, S, Se, Te

D. Rb, K, Na, Li

Answers

Answer:

C

Explanation:

O has 8   protones,S  tiene 16, Se 34 y Te 52.

the answer would be C o,s,se,te

Which is a property of bases?

A.
highly metal reactive

B.
sour to the taste

C.
slippery feel

D.
low pH

Answers

Answer:

C. Slippery feel

Explanation:

Slippery feel would be the correct answer (:

A lead fishing weight of a mass of 0.20 kg is tied to a fishing line that is 0.50 m long. The weight is then whirled in a vertical circle. The finishing line will break if its tension exceeds 100.0 N.

Required:
a. If the weight is whirled at higher and higher speeds, at what point in the vertical circle will the string break (top, bottom, or random position)?
b. At what speed will the string break?

Answers

Answer:

The solution of the given question is summarized in the below section.

Explanation:

The given values are:

Tension,

T = 100 N

mass,

m = 0.2 kg

length,

l = 0.5 m

Now,

(a)

Somewhere at bottom, string or thread breaks since string voltage seems to be the strongest around this stage.

then,

⇒  [tex]T-mg=\frac{mv^2}{l}[/tex]

or,

⇒  [tex]T=mg+\frac{mv^2}{l}[/tex]

(b)

As we know,

⇒  [tex]\frac{mv^2}{l}=T-mg[/tex]

or,

⇒  [tex]v^2=\frac{(T-mg)l}{m}[/tex]

On substituting the values, we get

⇒       [tex]=\frac{(100-0.2\times 10)0.5}{0.2}[/tex]

⇒       [tex]=\frac{49}{0.2}[/tex]

⇒    [tex]v =\sqrt{245}[/tex]

⇒       [tex]=15.65 \ m/s[/tex]

An ideal horizontal spring-mass system has a mass of 1.0 kg and a spring with constant 78 N/m. It oscillates with a period of 0.71 seconds. When this same spring-mass system oscillates vertically instead, the period is _______ seconds. Enter 2 significant figures (a total of three digits) and use g = 10.0 m/s2 if necessary.

Answers

Answer:

T = 0.71 seconds

Explanation:

Given data:

mass m = 1Kg, spring constant K = 78 N/m, time period of oscillation T = 0.71 seconds.

We have to calculate time period when this same spring-mass system oscillates vertically.

As we know

[tex]T = 2\pi \sqrt{\frac{m}{K} }[/tex]

This relation of time period is true under every orientation of the spring-mass system, whether horizontal, vertical, angled or inclined. Therefore, time period of the same spring-mass system oscillating  vertically too remains the same.

Therefore, T = 0.71 seconds

Question 5 of 10
The graph below shows the downloads of two songs over time.
70
Song 1
60
50
40
Number of downloads
(spopunu)
Song 2
30
20
10
O
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
Time (minutes)
Which term describes the slope of the graph of song 2 between minute 6 and
minute 7?
A. Positive
B. Zero
C. It is impossible to calculate
D. Negative
SUBMIT

Answers

Answer:

b

Explanation:

An ultrasonic tape measure uses frequencies above 20 MHz todetermine dimensions of structures such as buildings. It does so byemitting a pulse of ultrasound into air and then measuring the timeinterval for an echo to return from a reflecting surface whosedistance away is to be measured. The distance is displayed as adigital read-out. A tape measure emits a pulse of ultrasound with afrequency of 25.0 MHz.
(a) What is the distance to an object fromwhich the echo pulse returns after 24ms when the air temperature is 26°C?
(b) What should be the duration of the emitted pulse if it is toinclude 10 cycles of the ultrasonic wave?
(c) What is the spatial length of such a pulse?

Answers

Answer:  

a) 1m

b) 2μs

c) 3mm

Explanation:

A battery is connected to a light bulb in a circuit. There is a current of 2 A in the light bulb.
The voltage of the battery is 1.5 V. What is the resistance of the light bulb?
V
Use R = to solve this problem.

Answers

Answer:

Resistance of the light bulb = 1.33 ohm (Approx.)

Explanation:

Given:

Current in electric bulb = 2 Amp

Voltage in battery = 1.5 Volt

Find:

Resistance of the light bulb

Computation:

Resistance = Voltage / Current

Resistance of the light bulb = Voltage in battery / Current in electric bulb

Resistance of the light bulb = 2 / 1.5

Resistance of the light bulb = 1.33 ohm (Approx.)

A man pushes a 10-kg block 10 m, along a rough, horizontal
surface with a 40-N force directed 37° below the horizontal. If
the coefficient of kinetic friction is 0.2, calculate the total
work done on the block

Answers

Answer:

hope you can understand

A student must analyze data collected from an experiment in which a block of mass 2M traveling with a speed v0 collides with a block of mass M that is initially at rest. After the collision, the two blocks stick together. What applications of the equation for the conservation of momentum represent the initial and final momentum of the system for a completely inelastic collision between the blocks?

Answers

Solution :

In the question, it is given that the collision is inelastic and the blocks stick together.

In an inelastic collision, the linear momentum is conserved but the kinetic energy is not conserved.

The linear momentum is given by :

[tex]$\vec p = m \vec v$[/tex] (mass x velocity)

So according to the conservation of linear momentum,

[tex]$\vec p_{(\text{before collision})}=\vec p_{(\text{after collision})}$[/tex]

Let the velocity after the collision is [tex]$v_F$[/tex]

[tex]$m_1v_0+m_2 \times 0 = m_1v_F+m_2v_F$[/tex]

Putting the values of [tex]$m_1 \text{ and}\ m_2$[/tex]

[tex]$m_1=2M \text{ and}\ m_2=M$[/tex]

∴ [tex]$2Mv_0=2Mv_F+Mv_F$[/tex], as the blocks stick together after the collision.

and  [tex]$2MV_0=3Mv_F$[/tex], as the blocks stick together after the collision.

Other Questions
Read the sentence.Angelica bakes the most delicious apple pies she makes peach cobblers, too.Which answer choice best revises the run-on sentence?Angelica bakes the most delicious apple pies, and peach cobblers.Angelica bakes the most delicious apple and peach cobblers, too.Angelica bakes the most delicious apple pies; and peach cobblers, too.Angelica bakes the most delicious apple pies and peach cobblers. Pollution is one of our big problems. The ocean becomes polluted because people throw their garbage into it. Some factories had a greater contribution when it gives out smoke and dust that makes the air dirty.1. What is the main idea of the text? 2. What is the key sentence of the text? 3. What details or information support your main idea? 4. How is our health affected by these pollution? Answer please ASAP thank you Please no link! Solve for g. Show your work!g + 7 - 4 = 15 Sunland Company received proceeds of $664000 on 10-year, 6% bonds issued on January 1, 2019. The bonds had a face value of $704000, pay interest annually on December 31, and have a call price of 105. Sunland uses the straight-line method of amortization. What is the amount of interest expense Sunland will show with relation to these bonds for the year ended December 31, 2020 How old is the youngest employee At the party, Max wants each balloon tohave a string that is 100 centimeters long.The string he wants to buy comes in rolls of25 meters. How many rolls of string doesMax need to buy if he plans to have 50balloons at the party?Hellp me with this A researcher was interested in the effects of emotion-evoking music on exam performance. Before their SPSS exam, a lecturer took one group of students to a room in which calming music was being played. A different group of students were taken to another room in which the 'death march' was being played. The students then did the exam and their marks were noted. The SPSS output is below. The experimenter made no predictions about which form of support would produce the best exam performance. What should he report Civilian population: 230 million People incapable of working: 70 millionPeople not looking for work: 50 millionEmployed workers: 95 million.What is the unemployment rate of this economy?A)6.5%B)9.3913.6%D15.79 What is the median of 1, 3, 6, 8, 9, 9Answer choices: A. 6B. 7C. 8D. 9 What did Marcel Duchamp contribute to the Dada movement?a.He held meetings for artists who had a shared disgust for the current culture.b.He produced many ready-mades, or common objects that are transformed into art.c.He produced many photomontages.d.all of the above A dinner plate has a radius of 6 inches. What is the diameter of the plate in inches? if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle If anyone can help me Id appreciate it, geometry is messing me up a bit A magazine subscription runs several promotions. Customers can choose from the following deals: Option A: 15% off an annual subscription of $86 Option B: pay $6.50 per monthHow much will a customer save by purchasing the annual subscription overpaying per month? Read the story then answer the question. Watch Out for the Octopus! :book name)There are a lot of deadly animals in the world. Some are poisonous, meaning they use poison as a defense. If you touch them, you might absorb the poison through your skin. Others are venomous, meaning they use their poison to attack. What are some of the deadliest animals out there? One truly deadly animal is the puffer fish. It does not look dangerous, but its skin and organs are poisonous to humans. Oddly, people like to eat the puffer fish. Cooks who work with it have to have a special license. It is supposed to be deliciousas long as you dont take a bite of those parts of it that might be fatal! Puffer fish could be the last meal you ever have. Exotic poison dart frogs are found in the jungles of South and Central America. These tiny frogs are unusually colorful, but their beauty is sinister. Their skin is so poisonous that if enemies touch it or try to eat it, they will quickly die. Snakes, of course, are known for being venomous. The taipan lives in Australia and is considered the worlds most venomous snake. Its venom is said to be four hundred times stronger than that of the next most venomous snake. Luckily, the taipan is very shy and secretive, and it is rarely seen by humans. King cobras, which live in East and Southeast Asia, are the longest venomous snakes, growing to more than eighteen feet in lengthSome animals have very venomous stings. Scorpions, with their sharp tails, are among them. The deathstalker scorpion, found in North Africa and the Middle East, has a strong, painful poison. Many spiders are venomous, too, including the Brazilian wandering spider. It is especially dangerous because it moves around a lot and might be found in someones shoe or under a bed. In the United States, black widow spiders and brown recluse spiders are the most common venomous spiders. But they do not match the danger of the Brazilian wandering spider or the funnel-web spider of Australia. Like scorpions, venomous spiders use their poison to get food. You might not think of an octopus as being venomous, but the blue-ringed octopus certainly is. It is small and brightly colored, and it can move very quickly. It lives in the waters around Asia and Australia. Its sting is both painful and dangerous. There are poisonous and venomous animals almost everywhere in the world. That is why it is usually a good idea to be careful if you see an unfamiliar animalespecially an unfamiliar snake, spider, frog, scorpion, fish, or octopus!Question: Which of these gives the main purpose of the passage?A. to be a reference for all poisonous and venomous animals B. to entertain the reader with stories about unique animals C. to inform the reader about different poisonous and venomous animalsD. to persuade the reader to protect themselves from dangerous animals hiii please help ill give brainliest:) Which is an example of the government restricting business in order to promote the welfare of U.S. Citizens? The graph shows the amount of petrol used, in litres, against distance travelled in miles.How many litres of petrol are used to travel 39 miles? Someone pls help me Im stuck 2. 6t - 12=48 3. 85*4=100