If a car is driving at 10 m/s and is driving for 2 minutes, what is the total distance it will
cover?

Answer:

We know that angular momentum is mvr

So that of the students initially will be

A1= mvr

and the final of the student and the merrygo round will be

A2= (1/2Mr²+mr)omega

So

Angular velocity (omega)= mvr/(1/2Mr²+mr)

This is the final angular velocity of the system so yea the student must have angular momentum before jumping on the merry-go-round

B. Because of directional changes at every edge of the Merry go round that result in changes in velocity, this results in changes in momentum too thus linear momentum is not conserved

Answer:

The ruler's center of mass is located on the vertical line defined by the 50 cm mark.

Explanation:

Recall that in order to have equilibrium as that described by this example, the net Torque in the ruler should be zero. which means in our case that the weight due to the right half of the ruler, should equal in absolute value of the weight of the left side of the ruler, thus defining where the ruler's center of mass is.

Since this happens at the mark 50 cm, then the center of mass of the ruler is located somewhere inside the ruler somewhere above where the pivot is located (50 cm mark)

Answer:

100 Ω

Explanation:

Given that

Open circuit voltage, V = 1 V

Short circuit current, I = 10 mA

Source resistance R, = ?

This is rather a straight forward question. Remember Ohms Law? Current being directly proportional to the voltage and inversely proportional to the resistance?

Yeah, that's the formula we'd be using.

Ohms Law states that V = IR, and thus, if we make R subject of the formula, we have

R = V / I, on substituting the values, we have

R = 1 / 10*10^-3

R = 1 / 0.01

R = 100 Ω

Answer:

30

Explanation:

Answer:

The formula is kelvin = (tempature in farenheit-32) ÷ 1.8 +273.15

So it will be (-22-32) ÷ 1.8 +273.15= 243.15 kelvin

Answer:

T(K) = (T(°F) + 459.67)× 5/9

answer is 243.15

Answer 24cm

Explanation:

The amplitude of vibration of the spring is "24 cm"

The periodic vibrating body's motion follows a sinusoidal path. This sinusoidal path is illustrated in the attached picture.

From the picture, it can be clearly seen that the amplitude of the periodic vibration motion is the distance from its mean position to the highest point.

Since the distance of both the highest and the lowest points from the mean position is the same. Therefore, the distance between the lowest and the highest point must be equal to two times the amplitude of the wave.

[tex]Distance\ between\ highest\ and\ lowest\ point = 2(Amplitude)\\\\Amplitude = \frac{Distance\ between\ highest\ and\ lowest\ point}{2}\\\\Amplitude = \frac{48\ cm}{2}\\\\[/tex]

Amplitude = 24 cm

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Answer:

E = 10t^2e^-10t Joules

Explanation:

Given that the current through a 0.2-H inductor is i(t) = 10te–5t A.

The energy E stored in the inductor can be expressed as

E = 1/2Ll^2

Substitutes the inductor L and the current I into the formula

E = 1/2 × 0.2 × ( 10te^-5t )^2

E = 0.1 × 100t^2e^-10t

E = 10t^2e^-10t Joules

Therefore, the energy stored in the inductor is 10t^2e^-10t Joules

Answer:

A) The value of the diameter in inches is 5.19685 × 10⁻⁹ inches

B)  There are 1,590,909,091 atoms on a 21.0cm line

Explanation:

A) To determine what its diameter is in inches

We will convert 1.32 × 10⁻¹⁰ m to inches

First convert this to centimeters (cm)

1.32 × 10⁻¹⁰m = 1.32 × 10⁻¹⁰ × 10² cm

=  1.32 × 10⁻⁸cm

Now, since 1 inch = 2.54 cm

∴ 1 cm = [tex]\frac{1}{2.54}[/tex] inches

If  1 cm = [tex]\frac{1}{2.54}[/tex] inches

Then 1.32 × 10⁻⁸ cm will be

1.32 × 10⁻⁸ × [tex]\frac{1}{2.54}[/tex] inches

= 5.19685 × 10⁻⁹ inches

This is the value of the diameter in inches

B) For the number of atoms on a 21.0cm line

The diameter of 1 atom is 1.32 × 10⁻¹⁰m

1.32 × 10⁻¹⁰m = 1.32 × 10⁻⁸cm

Hence, on a 21.0 cm line, we will have

(21.0 / 1.32 × 10⁻⁸) atoms

= 1590909091 atoms

Hence, there are 1,590,909,091 atoms on a 21.0cm line

Answer:

Let N = N0 where N0 is the number of atoms originally present.

In 6 days    N = N0 / 2

In 12 days   N = N0 / 4

In 18 days   N = N0 / 8    = .125 N0

So it would take 18 days.

Manganese-52 has a half-life of 6 days. a scientist has to wait 18 days for the radioactivity to be 12.5% of the starting amount

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity. This radiation is released when a nucleus undergoes radioactive decay and transforms into a different isotope that may be radioactive (unstable) or non-radioactive depending on the number of neutrons and protons in the nucleus (stable).

As given in the problem statement Manganese-52 has a half-life of 6 days. this means after 6 days Manganese-52 will reduce to its half value

similarly, after 12 days it further reduces to 50% of the previous value which would be 25 %

Similarly, after 18 days, it will reduce 50% from the previous value which comes out to be 12.5 %

Thus, The half-life of manganese-52 is 6 days. It takes 18 days for the radioactivity to drop to 12.5% of the initial level.

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Answer:

T2 = 361.15 K

Explanation:

Since pressure is held constant, then we'll use Charles law

Charles law gives that V1/T1 = V2/T2

We are given;

Initial temperature; T1 = 313 K

Initial height; h1 = 23.4 cm

Final height; h2 = 27.0 cm

Now, formula for volume of a cylinder is V = πr²h

V1 = πr²h1 and V2 = πr²h2

Now, since V1/T1 = V2/T2 and we are looking for T2, let's make T2 subject;

T2 = (V2 × T1)/V1

Plugging in the relevant values gives;

T2 = (πr²h2 × 313)/πr²h1

πr² will cancel out to give;

T2 = (h2 × 313)/h1

Putting 23.4 for h1 and 27 for h2 gives;

T2 = (27 × 313)/23.4

T2 = 361.15 K

Answer:

No its not possible in that yes heat flow is due to temperature different but with time equilibrium in temperature is reached hence there is no temperature difference at both ends at this time

Answer: Procrastination, Defiance, Laziness

Explanation:

Answer: impulsiveness

Explanation:

Answer:

The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

Explanation:

Given that,

Wavelength = 2 μm

Resolution = 0.1

We need to calculate the diameter of mirror

Using formula of resolution

[tex]resolution=0.25\times\dfrac{wavelength}{diameter}[/tex]

[tex]diameter =0.25\times\dfrac{wavelength}{resolution}[/tex]

Put the value into the formula

[tex]diameter=0.25\times\dfrac{2\times10^{-6}}{0.1}[/tex]

[tex]diameter = 0.000005\ m[/tex]

[tex]diameter = 5\times10^{-6}\ m[/tex]

Hence, The diameter of mirror [tex] 5\times10^{-6}\ m[/tex]

Answer:

The  value is  [tex]\Delta t  =  0.01 \ s[/tex]

Explanation:

From the question we are told that

   The time of flight is  [tex]T  =  0.02 \  s[/tex]

Given that the value of the time of flight is in three decimal place then the error quote is

     [tex]\Delta t  =  0.01 \ s[/tex]

Answer:

This question has already been answered.

Explanation:

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50Kpa

Explanation:

P1V1 = P2V2

Where;

P1= 100. P2= ?

V1 = 500. V2 = 1000

100 × 500 = P2 × 1000

50000 = 1000P2

50000/1000 = P2

50 = P2

P2 = 50Kpa

Answer:

Speed = 10 km/hr

Explanation:

Speed = Distance / Time

Since we have to convert it into minutes to hours ( because it is km/hr )

45 minutes = 0.75 hours

Therefore,

Speed = 7.5 / 0.75

           = 10 km/hr

Hope it helps!

Answer:

10

Explanation:

Answer:

Generally it is only possible  to compute the tangent of angle in their various unit but because 5 meter is not an angle then it is impossible  to compute the tangent of 5 meters.

Explanation:

Answer:

Volume = 3.6 x 10^-12 cm^3

Area = 1.1 x 10^-5 mm^2

Explanation:

The diameter of the bacteria that is in the shape of spherical = 1.9 m  

Now we have to find the volume of the bacteria. So, use the below formula to find the volume of bacteria.

Volume = (4πr^3) / 3

Volume = (4/3)* π*(1.9*10^-6 / 2)^3  

Volume = 3.6 x 10^-18 m^3  

Volume = 3.6 x 10^-12 cm^3

Now find the surface area.

The surface area = 4πr^2

Area = 4  π  (1.9/2)62  

Area = 1.1 x 106-11 m^2  

Area = 1.1 x 10^-5 mm^2

Answer:

   t_total = 23.757 s

Explanation:

This is a kinematics exercise.

Let's start by calculating the distance and has to reach the limit speed of

v = 18.8 m / s

         v = v₀ + a t₁

the elevator starts with zero speed

         v = a t₁

         t₁ = v / a

         t₁ = 18.8 / 2.40

         t₁ = 7.833 s

in this time he runs

         y₁ = v₀ t₁ + ½ a t₁²

         y₁ = ½ a t₁²

         y₁ = ½ 2.40 7.833²

         y₁ = 73.627 m

This is the time and distance traveled until reaching the maximum speed, which will be constant throughout the rest of the trip.

           x_total = x₁ + x₂

           x₂ = x_total - x₁

           x₂ = 373 - 73,627

           x₂ = 299.373 m

this distance travels at constant speed,

           v = x₂ / t₂

           t₂ = x₂ / v

           t₂ = 299.373 / 18.8

           t₂ = 15.92 s

therefore the total travel time is

           t_total = t₁ + t₂

           t_total = 7.833 + 15.92

           t_total = 23.757 s

Explanation:

Explanation:Those interested in working with trace evidence, such as glass, hairs, and gunshot residue, should focus on instrumentation skills and take courses in geology, soil chemistry, and materials science. If forensic biology, such as DNA analysis, is preferred, take microbiology, genetics, and biochemistry courses. Those interested in the toxicological aspects of this work, such as obtaining and interpreting toxicology reports, should study physiology, biochemistry, and chemistry.

Explanation:

1) F₁ lies in a plane perpendicular to the xy plane, 60° from the x axis.  The angle between F₁ and the +z axis is 30°.  Therefore, the vector is:

<F₁> = 20 (sin 30° cos 60° i + sin 30° sin 60° j + cos 30° k)

<F₁> = 20 (¼ i + ¼√3 j + ½√3 k)

<F₁> = 5 i + 5√3 j + 10√3 k

F₂ is in the xy plane.  Its slope is -24/7.  The vector is:

<F₂> = 12 (-⁷/₂₅ i + ²⁴/₂₅ j + 0 k)

<F₂> = -3.36 i + 11.52 j

F₃ is parallel to the +x axis.  The vector is:

<F₃> = 17 (i + 0 j + 0 k)

<F₃> = 17 i

F₄ is parallel to the -z axis.  The vector is:

<F₄> = 15 (0 i + 0 j − k)

<F₄> = -15 k

F₅ is in the xy plane.  It forms a 15° angle with the -y axis.  The vector is:

<F₅> = 9 (-sin 15° i − cos 15° j + 0 k)

<F₅> = -9 sin 15° i − 9 cos 15° j

The resultant vector is therefore:

<F> = (5 − 3.36 + 17 − 9 sin 15°) i + (5√3 + 11.52 − 9 cos 15°) j + (10√3 − 15) k

<F> = 16.31 i + 11.49 j + 2.32 k

2) Sum of forces at point B in the x direction:

∑F = ma

Tbc cos 40° − ¹⁵/₁₇ Tab = 0

Tbc cos 40° = ¹⁵/₁₇ Tab

Tbc = 1.15 Tab

Sum of forces at point B in the y direction:

∑F = ma

Tbc sin 40° + ⁸/₁₇ Tab − mAg = 0

Tbc sin 40° + ⁸/₁₇ Tab = (2 kg) (10 m/s²)

(1.15 Tab) sin 40° + ⁸/₁₇ Tab = 20 N

1.21 Tab = 20 N

Tab = 16.52 N

Tbc = 19.02 N

Sum of forces at point C in the x direction:

∑F = ma

Tcd sin 25° − Tbc cos 40° = 0

Tcd sin 25° = Tbc cos 40°

Tcd = 1.81 Tbc

Tcd = 34.48 N

3(a) When the crane is on the verge of tipping, the center of gravity is directly over point F.  Relative to point A:

3.7 m = [ (390 kg) (0.9 m) + (90 kg) (9 m cos θ + 1.7 m) + (80 kg) (9 m cos θ + 2.9 m) ] / (390 kg + 90 kg + 80 kg)

2072 kgm = 351 kgm + 810 kgm cos θ + 153 kgm + 720 kgm cos θ + 232 kgm

1336 kgm = 1530 kgm cos θ

θ = 29.17°

3(b) 3.7 m = [ (390 kg) (0.9 m) + (90 kg) (x + 1.7 m) + (80 kg) (x + 2.9 m) ] / (390 kg + 90 kg + 80 kg)

2072 kgm = 351 kgm + (90 kg) x + 153 kgm + (80 kg) x + 232 kgm

1336 kgm = (170 kg) x

x = 7.86 m

4) Find the lengths of the cables.

Lab = √((2 m)² + (3 m)² + (5 m)²)

Lab = √38 m

Lac = √((2 m)² + (3 m)² + (5 m)²)

Lac = √38 m

Lde = √((2 m)² + (3 m)²)

Lde = √13 m

Sum of forces in the x direction:

∑F = ma

-5/√38 Fab − 5/√38 Fac − 2/√13 Fde + Rx = 0

Sum of forces in the y direction:

∑F = ma

2/√38 Fab − 2/√38 Fac = 0

Fab = Fac

Sum of forces in the z direction:

∑F = ma

3/√38 Fab + 3/√38 Fac + 3/√13 Fde − mg = 0

Sum of moments about the y-axis:

∑τ = Iα

(3/√38 Fab) (5 m) + (3/√38 Fac) (5 m) + (3/√13 Fde) (2 m) − (mg) (2 m) = 0

Substitute Fab = Fac and simplify:

6/√38 Fab + 3/√13 Fde − mg = 0

30/√38 Fab + 6/√13 Fde − 2mg = 0

Double first equation:

12/√38 Fab + 6/√13 Fde − 2mg = 0

Subtract from the second equation:

28/√38 Fab = 0

Fab = 0

Fac = 0

Solve for Fde:

3/√38 Fab + 3/√38 Fac + 3/√13 Fde − mg = 0

3/√13 Fde = mg

3/√13 Fde = (1.7 kg) (10 m/s²)

Fde = 20.43 N

Solve for Rx:

-5/√38 Fab − 5/√38 Fac − 2/√13 Fde + Rx = 0

Rx = 2/√13 Fde

Rx = 11.33 N

Answer: I dont see the option choices

Explanation:

Answer:

Explanation:

From the question we are told that

 The diameter is [tex]d = 150 \ m[/tex]

  The time taken is  [tex]t = 5 \ min = 300\ s[/tex]

Generally the circumference is mathematically represented as

     [tex]C =  d  *  \pi[/tex]

     [tex]C =  150 *  3.142[/tex]

     [tex]C =  471.3 \  m[/tex]

The average speed is mathematically represented as

      [tex]v  =  \frac{C}{ t}[/tex]

     [tex]v  =  \frac{471.3}{300}[/tex]

    [tex]v =  1.571 \  m/s[/tex]

Answer:

The significant figures in a measurement consist of all the certain digits in that measurement plus one uncertain or estimated digit. In the ruler illustration below, the bottom ruler gave a length with 2 significant figures, while the top ruler gave a length with 3 significant figures.

Explanation:

Answer:

The  value is  [tex]E =  8.9 *10^{-5} \  J[/tex]

Explanation:

From the question we are told that

   The  area is  [tex]A =  0.700 \  m^2[/tex]

   The  root mean square value  is [tex]E_{rms} =  0.0400 \  V/m[/tex]

   The time taken is [tex]t =  30.0 \  s[/tex]

Generally the energy is mathematically represented as

     [tex]E =  c *  \sepsilon_o *  A  *  t  * E_{rms}^2[/tex]

=>    [tex]E =  3.0*10^{8} *  8.85*10^{-12} *  0.700 *  30 * (0.04)^2[/tex]

=>     [tex]E =  8.9 *10^{-5} \  J[/tex]

The point obviously is in the 3rs quadrant

So

စ= tan^-1( y/x)-180

စ= -89.7°

The angle θ between the radius-vector of the point and the positive x axis is -89.7°

Radius vector is defined as the length of the line that connects a stationary point to a moving point.

It can be defined as a line connecting a circle's center to a particle's location on its circumference.

It can also be defined as the straight line connecting two bodies moving in relative orbits, such as the path a planet takes to reach the sun at any given point along its orbit.

It is also known as position vector or location vector.

The unit vector pointing radially outward from the origin is the gradient of the position vector's length. It is typical for the spheres that are centered on the origin to have level surfaces.

Evidently, the location is in the third quadrant.

So, θ= tan⁻¹ (y / x) - 180

θ= - 89.7°

Thus, the angle θ between the radius-vector of the point and the positive x axis is -89.7°

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Answer:

Explanation:

Force between two charged particle having charge q₁ and q₂ at distance r

F = k q₁ x q₂ / r²

Putting the values

F = 9 x 10⁹ x 1.6 x 10⁻¹⁹ x 1.6 x 10⁻¹⁹ / 5.29² x 10⁻²²

= .823 x 10⁻⁷

= 823 x 10⁻¹⁰ N

This force will apply on both the charges and will be attractive in nature .

B )

Let speed of electron be v

centripetal force on electron = F

m v² / r = 823 x 10⁻¹⁰

putting the values for electron

9.1 x 10⁻³¹ x v² / 5.29 x 10⁻¹¹ = 823 x 10⁻¹⁰

v² = 478.42 x 10¹⁰

v = 21.87 x 10⁵ m /s