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Starting from rest, an intern pushes a 48-kg gurney 20 m down the hall with a constant force of 80 N directed downward at an angle of 35∘ with respect to the horizontal. Ignore friction. How much time elapses during the 20-m journey? Express your answer with the appropriate units.

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davidlcastiblanco

Answer:

The time elapses is

t = 2.70 s

Explanation:

The axis x' is the only one influence the work so

work = F*cosΘ*d

W = 80N *cos(35º) * 20m

W = 1310.64 J

work = ΔKE

1310.64 J = ½ * 48kg * v²

Solve to v

v = 7.39m/s

t = d / Vavg

t = 20m / 7.39 m/s

t = 2.70 s

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