An book fell from a shelf 1.5 meters from the ground. If it took the book 3 seconds to hit the ground, what was the velocity of the book?

Answers

Answer 1

The initial velocity of the book before its hits the ground is 14.2 m/s.

The given parameters;

height of the book above the ground, h = 1.5 mtime of motion of the book, t = 3 seconds

The initial velocity of the book is calculated as follows;

h = ut + ¹/₂gt²

where;

u is the velocity of the book

1.5 = 3u + (0.5 x 9.8 x 3²)

1.5 = 3u + 44.1

3u = 1.5 - 44.1

3u = -42.6

[tex]u = \frac{-42.6}{3} \\\\u = -14.2 \ m/s\\\\u = 14.2 \ m/s \ downwards[/tex]

Thus, the initial velocity of the book before its hits the ground is 14.2 m/s.

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Related Questions

a physics student throws a stone horizontally off a cliff. one second later, he throws a second identical stone in exactly the same way. which of the following statements is true?

Answers

The second stone hits the ground exactly one second after the first.

The distance traveled by each stone down the cliff is calculated using second kinematic equation;

[tex]h = v_0_yt + \frac{1}{2} gt^2[/tex]

where;

t is the time of motion [tex]v_0_y[/tex] is the initial vertical velocity of the stone = 0

[tex]h = \frac{1}{2} gt^2[/tex]

The time taken by the first stone to hit the ground is calculated as;

[tex]t_1 = \sqrt{\frac{2h}{g} }[/tex]

When compared to the first stone, the time taken by the second stone to hit the ground after 1 second it was released is calculated as

[tex]t_2 = \sqrt{\frac{2h}{g} } + 1[/tex]

[tex]t_2 = t_1 + 1[/tex]

Thus, we can conclude that the second stone hits the ground exactly one second after the first.

"Your question is not complete, it seems be missing the following information;"

A. The second stone hits the ground exactly one second after the first.

B. The second stone hits the ground less than one second after the first

C. The second stone hits the ground more than one second after the first.

D. The second stone hits the ground at the same time as the first.

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What is the relationship between the temperature of a star and its luminosity?

Answers

The Luminosity of a star is proportional to its Effective Temperature to the 4th power and its Radius squared.

5. What must occur for an object to exert a contact force on another object?

Answers

Answer:

An object must be touching another.

A force of 20 N acts upon a 5 kg biock. Calculate the acceleration of the object.

Answers

Answer:

F=ma

Explanation:

Given required solution

F=20N a=? a=F/m

m=5kg a=20/5

a=4m/s^2

2. Connect concepts on the left with a description on the right.

Concave lens A. Distance between two waves. Magnifier B. Can be captured on screen.Focal length. C. Light of a wavelength. Wavelength D. Scattered incident light. Infrared radiation E. Convex lenses. Real picture F. Distance to the focal point. Laser G. Light swinging in one direction. Polarized light. H. Heat radiation

3. Explain in as much detail as you can how a rainbow arises. a​

Answers

plzzz explain me your questions

9- Where did Rutherford propose that most of the mass of an atom
resided?
a) In the middle of the atom
b) Along the edge of the atom
c) Scattered throughout the atom
d) Orbiting around the atom

Answers

Answer:

A) in the middle of the atom

Explanation:

He concluded that all of the positive charge and the majority of the mass of the atom must be concentrated in a very small space in the atom's interior, which he called the nucleus.

I WILL MARK U HELP PLZ
The free body diagram for an object is projected. Calculate the net force acting on the object. If this object is 10 kg, how/where will it accelerate?

Answers

Explanation:

By the end of the section, you will be able to:

Apply problem-solving techniques to solve for quantities in more complex systems of forces

Use concepts from kinematics to solve problems using Newton’s laws of motion

Solve more complex equilibrium problems

Solve more complex acceleration problems

Apply calculus to more advanced dynamics problems

through this steps you will get the answer.thank you

the chemical compositions of jupiter and saturn are most similar to those of:

Answers

Most similar to Uranus and Neptune

what makes it difficult to see Mercury​

Answers

Answer:

Mercury is the planet nearest the Sun and is the most difficult to observe, because it is always quite close to the Sun in the sky. Because of its orbital motion, it appears to swing back and forth around the Sun, reaching a maximum angular distance of about 28°.

Explanation:

I hope that helps you

Answer:

Mercury is very close to the Sun which means its hard to see the planet without the Sun's brightness outshining it. It is also the smallest planet in the solar system.

Hope this helps!

In induction, what charge does a neutral substance gain compared to the object brought near it?

Answers

Explanation:

In induction, what charge does a neutral substance gain compared to the object brought near it?

The neutral object gains the same type of charge as the object that touched it because the electrons move from one object to the other (Figure 10.16). Induction is the movement of electrons within a substance caused by a nearby charged object, without direct contact between the substance and the object.

The charge gained by the neutral substance, gained compared to the object brought near it, had the same kind of charge that was present when it touched it.

What is induction?

The alteration of the distribution of electric charge on a substance is caused by the effect of induction. A negatively charged object brought close to an electrically neutral object causes a positive charge on the near side and a negative charge on the far side of the neutral object as a result of the electric force between charged particles that make up materials.

This very little polarization, or separation of charge, lessens the electric field inside the dielectric.

Because the electrons go from one thing into the next, the neutral object acquires the same kind of charge that was present when it touched it. Lacking physical touch, induction is the movement of electrons within a substance as a result of a nearby charged item.

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what is the acceleration caused by gravity on earth

Answers

Answer:

Explanation:

It's 9.8 m/s^2

Li Wei loves cardio and finds it very easy to fit into his schedule. Because he knows it is important to diversify his exercise routine, sometimes he runs and other days he rides his bike. What else should Li Wei consider regarding his routine?


OPTIONS:

A.
He should add some strength training.
B.
He needs to add one more form of cardio.
C.
He has too much cardio and should cut half of it.
D.
His program works for him, so he should not change it.

PLEASE NO LINKS

Answers

Answer:

D.

Explanation:

Li Wei loves cardio and finds it very easy to fit into his schedule. Li Wei should consider his routine is his program works for him, so he should not change it. The correct option is D.

What is cardio?

Any form of exercise that raises your heart rate and keeps it there for a long time is considered cardio. As you start to breathe more quickly and deeply, your respiratory system will start to work harder.

The four components of a fitness program are flexibility, cardio, strength, and power.

The physical exercise that increases muscular strength and fitness is referred to as strength.The capacity to produce the most muscle contractions possible during a movement is referred to as power.Cardio refers to the capacity to handle various circumstances of various lengths.Flexibility is the characteristic that is linked to the range of motion offered by a particular joint.

Therefore, the correct option is D. His program works for him, so he should not change it.

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Give a short introduction to alternative energy​

Answers

Answer:

Alternative energy is energy sources other than fossil fuels, including renewable sources and nuclear energy. However, nuclear energy is not classified as a renewable energy source, because it is mined from uranium and thorium elements, which cannot be replenished. Hoped this helped!!!

to analyze the characteristics and performance of the brakes on a 1500 kg car, researchers collected the data shown in the table above. it shows the car’s speed when the brakes are first applied and the corresponding braking distance required to stop the car. the magnitude of the average braking force on the car is most nearly:

Answers

He magnitude of the average braking force is 12,000 N.

The braking force can be calculated using the following formula:

Braking Force = (0.5 x mass of the car x squared velocity) / distance

Now, let's use this formula to find the Braking force in each case based on the information of the chart:

F = (0.5 x 1,500 x 100) / 6.1  =  12,295F = (0.5 x 1,500 x 400) / 23.9 = 12,550F = (0.5 x 1,500 x 900) / 53.5 = 12,616

Now, let's add the results and divide the result into three to find the average:

12,295 + 12,550 + 12,616 = 37,461/ 3 = 12,487

From these, the option that is the most similar is C 12,000 N

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Given a table of values for the exponential function f(x) and a description of the
transformation for the function g(x)
, fill out the table of values based on the original
points for glx), the transformed function.
- 1
0
2
16
3
Reflect over
0
2
4
0-4, -1, -12
1
16
.
64
01, 1, 4, 16, 64
,
4, 1, , 162
0-1, -1, –4, – 16, – 64

Answers

Answer:its D

Explanation:

i did the test and got it right

The transformation function of the given exponential function is -1/4, -1, -4, -16, -64. Hence option D is correct.

What is an exponential function?

An exponential function is a mathematical relation to find exponential growth or decay for the given data. It represents the constant change in independent variables and gives the same proportional change.

The exponential function is expressed as f(x) = exp (x) or eˣ where x is variable and e is constant which is called the base of the equation.  

From the given,

the exponential function f(x) = 1/4, 1,4,16,64

The transformation function G(x) is the inverse of the exponential function and is equal to -1/4,-1, -4,-16,-64.

Hence, the ideal solution is option D.

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l am so confused is it right?

Answers

Answer:

D

Explanation:

First,mg>fv: It does a download acceleration,and the speed of the object increase.

Second,mg=fv: it hasn't a acceleration.

you can think the f is a constant.

To hit a fish that he sees beneath the water, where should he aim?

Answers

Ok I guess you are gonna use arrow/spear. Ok so what I learned is that the best place to hit and fish is the gills or the eye(s) because without the gills fish won't be able to breath.If you hit it on the eye it will take a while to kill the fish.The fish will feel lots of pain and start swim like crazy and probably go away.So i will say the BEST way to kill a fish to to hit it's gills.

In case you don't have any materials to kill fish:

IF you are in the wild with fish and you don't have a hook,spear,arrow, etc. I will recommend you to use a rock that his big but easy to grip.Hit the fish on top of its head just behind the eyes.Or get a stick no too thick or too skinny just like between those and start whittle it to a arrow then aim and shoot.

Hope this helps! =D

at a certain distance from a point charge the electric potential is 200V and electric field is 200V/m, what is this distance
a. 10m
b. 8m
c. 0.1m
d. 0.8m

Answers

c. 0.1m hope this helped

Explanation:

0.1 m

i dont know how to explain but i know the ans so ............byee ...

PLEASE HELP ME WITH EDGE UNIT TEST!!!! EARTH AND SPACE SCIENCE!!!!!
At which location would an object’s weight be the greatest?

on Pluto
on Earth
on the Sun
on the moon

Answers

Answer:

on Pluto or earth go witH u guts mine is always right hope this helps

A diver runs toward the edge of the cliff in Tobermory. This cliff is 44 m high (top of cliff to water level). They dive out, horizontally, at a velocity of 1.8 m/s [forward]. The sign below was posted for a reason. There is a section of rock right under the rough water extending from the cliff out for 4 m, as shown below. Does the diver hit the hidden rocks?

Answers

This question involves the concepts of the equations of motion for both the vertical motion and the horizontal motion.

The diver "does not" hit the rock.

First, we will calculate the time taken by the diver to land. For this purpose, we will use the second equation of motion for the vertical motion of the diver:

[tex]h = v_{iy}t+\frac{1}{2}gt^2[/tex]

where,

h = height of cliff = 44 m

[tex]v_{iy}[/tex] = vertical component of the initial velocity of the diver = 0 m/s

t = time taken to land = ?

g = acceleration due to gravity = 9.81 m/s²

Therefore,

[tex]44\ m=(0\ m/s)t+\frac{1}{2}(9.81\ m/s^2)(t)^2\\\\t = \sqrt{\frac{(44\ m)(2)}{9.81\ m/s^2}}[/tex]

t = 3 s

Now, we will calculate the horizontal distance where the diver landed. For this purpose, we will use the equation of motion for the horizontal motion of the diver. Assuming the air resistance to be zero the horizontal motion will be uniform. Hence:

[tex]s = vt\\s = (1.8\ m/s)(3\ s)\\[/tex]

s = 5.4 m

Since the section of the rock was 4 m away from the cliff. Hence, the diver crossed that rock section and safely laded at a distance of 5.4 m, which is 1.4 m ahead of the rock section.

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The attached picture shows the equations of motion for the horizontal motion and vertical motion.

A fisherman notices that wave crests pass the bow of his anchored boat every 3.0 s. He measures the distance between two crests to be 7.0 m. How fast are the waves traveling?

Answers

Answer:

The time period is

T

=

3.0

s

.

The distance between two crests is

λ

=

8.0

m

.

The frequency of wave can be calculated as,

f

=

1

T

f

=

1

3.0

s

f

=

1

3

s

1

The speed of wave can be calculated as,

v

=

f

λ

v

=

(

1

3

s

1

)

(

8

m

)

v

=

2.67

m

/

s

part 3 of 3
---
What is the velocity when t = 8 s?
Answer in units of m/s.
Answer in units of m/s

Answers

Answer:

1 m/s

(i think, *nervous sweat*)

Explanation:

We can tell this by looking at the graph. When t = 8, we will look at the time. We see that when the x (time) is 8, the velocity is 1 m/s.

NEED HELP!!!! 10 POINTS!!

Paralysis is often the result of severe spinal injuries. Why is this often the case?
A.
All movement begins in the spine and radiates through the body.
B.
The spine in the only part of the body that is directly connected to the brain.
C.
The spine houses much of the central nervous system, which controls movement.
D.
The bones in the spine cannot regenerate and grow, unlike other bones in the body.

PLEASSE NO LINKS

Answers

I think it may be C. Good luck

Due to paralysis, the result is severe spinal injuries. This is often the case because the spine houses much of the central nervous system, which controls movement. Hence, option C is correct.

What is Paralysis?

You might become paralyzed, and unable to move on your own when something interferes with the nerve impulses that muscles receive from the brain. Strokes, spinal cord injuries, and neurological diseases like multiple sclerosis are among the common causes of paralysis.

When you are unable to move your muscles voluntarily, you are said to be paralyzed. Paralysis results from nerve system issues.

Muscles receive messages from healthy nerves. This causes the muscles to contract. When you’re paralyzed, or have paralysis, you can’t move certain parts of your body.

Hence, it concludes that option C is correct.

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Not all the thermal energy from the hot object transferred to the cold water. Suggest ways that you could have improved your experimental design to increase the transfer of thermal energy from the hot object to the cold water.

Answers

Answer:foucovfirfvuhivufhijifs

A box collides with a ball as shown in the diagram below. After the collision, what
will the final momentum of the ball be?
BEFORE COLLISION
AFTER COLLISION
15 kgm/s
3 kgm/s
5 kgm/s
_kgm/s
O 18 kg * m/s
O 5 kg * m/s
O 10 kg * m/s
O 13 kg * m/s

Answers

The final momentum of the ball after collision is 13 kg.m/s.

The given parameters;

initial momentum of the box, P₁ = 15 kg.m/sinitial momentum of the ball, P₂ = 3 kg.m/sfinal momentum of the ball, P₃ = 5 kg.m/s

Let the final momentum of the ball after collision = P₄

Apply the principle of conservation of linear momentum to determine the final momentum of the ball after collision;

total momentum before collision = total momentum after collision

P₁ + P₂ = P₃ + P₄

15 + 3 = 5 + P₄

18 = 5 + P₄

18 - 5 = P₄

13  = P₄

Thus, the final momentum of the ball after collision is 13 kg.m/s.

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whose geocentric model of the solar system was accepted for 1400 years

Answers

Answer:

Plato, Aristotle developed it further and used for 1400 years till Copernicus.

Explanation:

a ball is thrown vertically down from the edge of a cliff with a speed of 5.2m/s how high is the cliff if it took 11s for the ball to reach the ground​

Answers

initial velocity=u=5.2m/sFinal velocity=v=0m/sTime=t=11sHeight=hAcceleration=g=9.8m/s^2

[tex]\\ \sf\longmapsto h=ut+\dfrac{1}{2}gt^2[/tex]

[tex]\\ \sf\longmapsto h=5.2(11)+\dfrac{1}{2}(9.8)(11)^2[/tex]

[tex]\\ \sf\longmapsto h=57.2+4.9(121)[/tex]

[tex]\\ \sf\longmapsto h=57.2+592.9[/tex]

[tex]\\ \sf\longmapsto h=650.1m[/tex]

Explain why adding ice to a drink can cause water droplets (condensation) to appear on the outside of the glass? ​

Answers

Answer:

it just condensed you know it isn't a big deal whatever happens does change anything

A 1.35 kg block is pulled across a
flat, frictionless floor with a 3.07 N
force at 32.0° above horizontal.
What is the acceleration of the block?

Answers

Answer:

F=ma

3.07=1.35(a)

3.07/1.35 = a

a=2.27m/s^2

Explanation:

Since the question gives us both the force and mass of the object we can use the f= ma equation and just plug in both the force and mass and just solve for acceleration. I believe the degree listed in the question is just there to throw you off.

HOW WOULD SOUND REFLECT

Answers

Answer:

Reflection. If a sound is not absorbed or transmitted when it strikes a surface, it will be reflected. ... Reflection of a sound wave at a barrier, as if from an imaginary source at an equal distance behind the barrier. Sound reflection gives rise to DIFFUSION, REVERBERATION and ECHO.

Answer:

by a echo

Explanation:

if u are I a sound proof room you shout to the wall the echo will then reflect

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