In the figure below, a runaway truck with failed brakes is moving downgrade at 1

Question

In the figure below, a runaway truck with failed brakes is moving downgrade at 132 km/h just before the driver steers the truck travel up a frictionless emergency escape ramp with an inclination of 17°. The truck's mass is 5000 kg.

In the figure below, a runaway truck with failed brakes is moving downgrade at 132 km/h just before the driver steers the truck travel up a frictionless emergency escape ramp with an inclination of 17 The truck's mass is 5000 kg. (a) What minimum length L must the ramp have if the truck is to stop (momentarily) ng it? (Assume the truck is a particle, and justify that assumption.) 373.5 X m (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 Lincrease, decrease, or remain the same if the truck's speed is decreased? increase O decrease remain the same

Explanation / Answer

a = g*tan(17)

u = 132 km/h = 36.67 m/s

v = 0

from kinematic equations

v^2 - u^2 = 2as

0 - 36.67^2 = -2*9.8*tan(17)*L

L = 224.4 m

(b) remain the same

(c) decrese

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