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1) A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encount

ID: 1280969 • Letter: 1

Question

1) A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encounters a rough horizontal surface of length scripted l = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.353 and he exerts a constant horizontal force of 291 N on the crate, find the following.

a)magnitude and direction?

b)Find the net work done on the crate while it is on the rough surface.

c)Find the speed of the crate when it reaches the end of the rough surface

a)What is the initial total mechanical energy of the projectile

b)Suppose the projectile is traveling 102.1 m/s at its maximum height of y = 350 m. How much work has been done on the projectile by air friction?

c)What is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile when it is going down as it did when it was going up?

3)A child and sled with a combined mass of 58.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 3.60 m/s at the bottom, what is the height of the hill?

5)A 19.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 26.0 with the vertical.

a) Neglecting friction, find the child's speed at the lowest position.

b)If the actual speed of the child at the lowest position is 2.10 m/s, what is the mechanical energy lost due to friction?

1) A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.855 m/s encounters a rough horizontal surface of length scripted l = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.353 and he exerts a constant horizontal force of 291 N on the crate, find the following. a)magnitude and direction? b)Find the net work done on the crate while it is on the rough surface. c)Find the speed of the crate when it reaches the end of the rough surface 2)A 56.0-kg projectile is fired at an angle of 30.0½ above the horizontal with an initial speed of 1.44 5)A 19.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 26.0½ with the vertical. a) Neglecting friction, find the child's speed at the lowest position. b)If the actual speed of the child at the lowest position is 2.10 m/s, what is the mechanical energy lost due to friction? to point b)Determine the net work done by the gravitational force on the block as it moves from point and and slides on the frictionless track shown in the figure below. (Assume ha = 6.00 m.) a)Determine the block's speed at points x 10^2 m/s from the top of a cliff 134 m above level ground, where the ground is taken to be y = 0. a)What is the initial total mechanical energy of the projectile b)Suppose the projectile is traveling 102.1 m/s at its maximum height of y = 350 m. How much work has been done on the projectile by air friction? c)What is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile when it is going down as it did when it was going up? 3)A child and sled with a combined mass of 58.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 3.60 m/s at the bottom, what is the height of the hill? 4)A block of mass m = 4.80 kg is released from rest from point

Explanation / Answer

1) figure ???

a)Net force = 0.353*92*9.8 - 291 = 27.26 opposite to motion

retardation = 0.29 m/s^2

it leaves rough surface with velocity v = 0.626

b) net work done = 0.5*92*(0.626*0.626 - 0.855*0.855) = -15.6 J

c) speed levves = 0.626 m/s

2)

a) 0.5*56* 144*144 = 580608 J

b)work done by air = - 0.5*56 * ( 124.7*124.7 - 102.1*102.1) = -143519.04 J

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