Question

Please answer part 1 and 2 carefully. Again, please and thank you
Part 1:

The spring in the figure has a spring constant of 1000 N/m . It is compressed 15.0 cm , then launches a 200 g block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.180. (Figure 1)

What distance d does the block sail through the air?

Express your answer with the appropriate units.

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Part 2:

A 190 g ball is dropped from a height of 2.1 m , bounces on a hard floor, and rebounds to a height of 1.4 m . The figure(Figure 1) shows the impulse received from the floor.

What maximum force does the floor exert on the ball?
Express your answer to two significant figures and include the appropriate units.

F_max=

Answer 1

h₁ = height from which ball is dropped = 2.1 m

v₁ = velocity of ball just before hitting the floor = sqrt(2gh₁) = sqrt(2 x 9.8 x 2.1) = 6.42 m/s

h₂ = height to which ball rises after bouncing = 1.4 m

v₂ = velocity of ball just after hitting the floor = sqrt(2gh₂) = sqrt(2 x 9.8 x 1.4) = 5.24 m/s

change in momentum = area under the graph

m (v₂ - (-v₁)) = F_max (0.005) (0.5)

(0.190) (5.24 - (-6.42)) = F_max (0.005)(0.5)

F_max = 886.2 N