1. Starting from rest a block of mass m is pushed up a frictionless slope of angle 0 by a horizontal force of magnitude F. h F m a. Draw a free body diagram for mass m. b. What work is done on the block? Write down the work-kinetic energy theorem ( eq. 9.13) for the block and simplify. c. What forces act on the block? Write down the work done by these forces using your free-body diagram and eq. 9.17 d. Using work and energy, find a symbolic expression for the block's speed when it is at height h above the bottom of the slope.

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Just need answer to part B, C, and D

Eq 9.13: ΔKtotal = Wtotal

Eq 9.17: W = F (Δr) cos θ

1. Starting from rest, a block of mass m is pushed up a frictionless slope of angle θ by a horizontal force of magnitude F.

[Diagram depicting a block of mass m on an inclined plane. The force F is applied horizontally, and the incline has a height h.]

a. Draw a free body diagram for mass m.

b. What work is done on the block? Write down the work-kinetic energy theorem (eq. 9.13) for the block and simplify.

c. What forces act on the block? Write down the work done by these forces using your free-body diagram and eq. 9.17.

d. Using work and energy, find a symbolic expression for the block’s speed when it is at height h above the bottom of the slope.

e. If F = 25.0 N, m = 5.0 kg, h = 2.0 m, and θ = 20°, what is the speed of the block at the top of the slope? What happens in the limit as h → 0? Does this make sense?
Transcribed Image Text:1. Starting from rest, a block of mass m is pushed up a frictionless slope of angle θ by a horizontal force of magnitude F. [Diagram depicting a block of mass m on an inclined plane. The force F is applied horizontally, and the incline has a height h.] a. Draw a free body diagram for mass m. b. What work is done on the block? Write down the work-kinetic energy theorem (eq. 9.13) for the block and simplify. c. What forces act on the block? Write down the work done by these forces using your free-body diagram and eq. 9.17. d. Using work and energy, find a symbolic expression for the block’s speed when it is at height h above the bottom of the slope. e. If F = 25.0 N, m = 5.0 kg, h = 2.0 m, and θ = 20°, what is the speed of the block at the top of the slope? What happens in the limit as h → 0? Does this make sense?
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