You are lowering two boxes, one on top of the other, down the ramp shown in the figure

Exercise 5.13

On September 8, 2004, the Genesis spacecraft crashed in the Utah desert because its parachute did not open. The 210-kg capsule hit the ground at 311 km/h and penetrated the soil to a depth of 81.0 cm.

Part D

What force did the ground exert on the capsule during the crash? Express the force as a multiple of the capsule's weight.

Exercise 5.31

You are lowering two boxes, one on top of the other, down the ramp shown in the figure (Figure 1) by pulling on a rope parallel to the surface of the ramp. Both boxes move together at a constant speed of 12.0cm/s . The coefficient of kinetic friction between the ramp and the lower box is 0.500, and the coefficient of static friction between the two boxes is 0.783.

C:\Users\asd\Desktop\YF-05-53.jpg

Part A

What force do you need to exert to accomplish this?

T =

  N

Exercise 5.54

A bowling ball weighing 70.6N is attached to the ceiling by a rope of length 3.81m . The ball is pulled to one side and released; it then swings back and forth as a pendulum. As the rope swings through the vertical, the speed of the bowling ball is 4.30m/s .

Part A

What is the acceleration of the bowling ball, in magnitude and direction, at this instant?

  m/s2

Part B

What is the tension in the rope at this instant?

  N

Problem 5.72

Block A in the figure (Figure 1) weighs 68.2N . The coefficient of static friction between the block and the surface on which it rests is 0.29. The weight w is 10.1N and the system is in equilibrium.

C:\Users\asd\Desktop\YF-05-63.jpg

Exercise 6.5

A 75.0-kg painter climbs a ladder that is 2.71mlong leaning against a vertical wall. The ladder makes an 26.0∘ angle with the wall.

Part A

How much work does gravity do on the painter?

W =

  J

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Part B

Does the answer to part A depend on whether the painter climbs at constant speed or accelerates up the ladder?

Does the answer to part A depend on whether the painter climbs at constant speed or accelerates up the ladder?

Yes

No

Exercise 6.8

A loaded grocery cart is rolling across a parking lot in a strong wind. You apply a constant force F⃗ =( 29N )i^−( 35N )j^ to the cart as it undergoes a displacement s⃗ =(− 8.8m )i^−(3.7m )j^.

Part A

How much work does the force you apply do on the grocery cart?

Express your answer using three significant figures.

Exercise 6.14

A 1.50kg book is sliding along a rough horizontal surface. At point A it is moving at 3.21m/s , and at point B it has slowed to 1.25m/s .

Part A

How much work was done on the book between A and B?

WAB =

 J

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Part B

If -0.750J of work is done on the book from B to C, how fast is it moving at point C?

vC =

 m/s

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Part C

How fast would it be moving at C if 0.750J of work were done on it from B to C?

vC =

 m/s

Exercise 6.20

You throw a 20-N rock vertically into the air from ground level. You observe that when it is a height 16.0m above the ground, it is traveling at a speed of 25.9m/s upward.

Part A

Use the work-energy theorem to find its speed just as it left the ground.

v0 =

  m/s

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Part B

Use the work-energy theorem to find its maximum height.

h =

  m

Exercise 6.52

A 20.0-kg rock is sliding on a rough, horizontal surface at 8.00 m/s and eventually stops due to friction. The coefficient of kinetic friction between the rock and the surface is 0.200.

Part A

What average thermal power is produced as the rock stops?

P =

 W

Exercise 6.37

A 5.0-kg box moving at 4.0m/s on a horizontal, frictionless surface runs into a light spring of force constant 50N/cm .

Part A

Use the work-energy theorem to find the maximum compression of the spring.

Express your answer using two significant figures.

x =

 cm

Problem 6.77

A block of ice with mass 6.30kg is initially at rest on a frictionless, horizontal surface. A worker then applies a horizontal force F⃗ to it. As a result, the block moves along the x-axis such that its position as a function of time is given by x(t)=αt2+βt3, where α = 0.200m/s2 and β= 2.09×10−2m/s3 .

Part A

Calculate the velocity of the object at time t = 3.60s .

Express your answer to three significant figures.

v =

  m/s

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Part B

Calculate the magnitude of F⃗ at time t = 3.60s .

Express your answer to three significant figures.

F =

  N

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Part C

Calculate the work done by the force F⃗ during the first time interval of 3.60s of the motion.

Express your answer to three significant figures.

W =

  J

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