+ -11 points HRW10 8.P.015.ssm. My Notes Ask Your Teacher In the figure below, a

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+ -11 points HRW10 8.P.015.ssm. My Notes Ask Your Teacher In the figure below, a runaway truck with failed brakes is moving downgrade at 116 km/h just before the driver steers the truck travel up a frictionless emergency escape ramp with an inclination of 20°. The truck's mass is 5000 kg (a) What minimum length L must the ramp have if the truck is to stop (momentarily) along it? (Assume the truck is a particle, and justify that assumption.) (b) Does the minimum length L increase, decrease, or remain the same if the truck's mass is decreased? O increase O decrease O remain the same (c) Does the minimum length L increase, decrease, or remain the same if the truck's speed is decreased? increase O decrease O remain the same Additional Materials Section 8.2

Explanation / Answer

a)

By Conservation of energy

(1/2)mV2 =mgh

h=V2/2g =(116*1000/3600)2/2*9.81=52.92 m

Length of the ram

L=52.92/SIn20 =154.7 m

b)

Since minimum length doesn't depend on mass ,so it reamins the same.

c)

if Truck speed is decreased ,length decreases

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