A person with mass m is skateboarding across level ground on earth with a speed vo when theycome to a small slope that raises them a distance h higher than ground level over a distance d, asshown in the figure below. A frictional force with magnitude F, is also acting on the skateboardopposing the direction of motion as it travels up the slope.i●)d →i●)●)a) Derive an expression using the defined variables (and g) for the speed of the person afterthey reach the top of the slope.b) If the person's mass m = 50 kg, their initial speed is vo = 3 m/s, the slope raises themh = 0.4 m over a distance of d = 2 m and the magnitude of the force of friction isF, = 2 N, what is their speed at the top of the slope?

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Description: A person with mass m is skateboarding across level ground on earth with a speed vo when theycome to a small slope that raises them a distance h higher than ground level over a distance d, asshown in the figure below. A frictional force with magnitud

mass = m height = h distance along the slope = d magnitude of frictional force = Ffinitial speed =…

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A person with mass m is skateboarding across level ground on earth with a speed vo when they come to a small slope that raises them a distance h higher than ground level over a distance d, as shown in the figure below. A frictional force with magnitude F, is also acting on the skateboard opposing the direction of motion as it travels up the slope. ↑ ● d i ● ● a) Derive an expression using the defined variables (and g) for the speed of the person after they reach the top of the slope. b) If the person's mass m = 50 kg, their initial speed is vo = 3 m/s, the slope raises them h = 0.4 m over a distance of d = 2 m and the magnitude of the force of friction is F, = 2 N, what is their speed at the top of the slope?

A person with mass m is skateboarding across level ground on earth with a speed vo when they come to a small slope that raises them a distance h higher than ground level over a distance d, as shown in the figure below. A frictional force with magnitude F, is also acting on the skateboard opposing the direction of motion as it travels up the slope. ↑ ● d i ● ● a) Derive an expression using the defined variables (and g) for the speed of the person after they reach the top of the slope. b) If the person's mass m = 50 kg, their initial speed is vo = 3 m/s, the slope raises them h = 0.4 m over a distance of d = 2 m and the magnitude of the force of friction is F, = 2 N, what is their speed at the top of the slope?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 78PQ

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