A trucks brakes fail while driving down a hill at a speed of 92 km/hr at the emergency ramp shown. If θ=15º, determine the minimum ramp length L in meters necessary to stop the truck. Use g = 10 N/kg and neglect friction. Don;t forget to convert units

A trucks brakes fail while driving down a hill at a speed of 92 km/hr at the emergency ramp shown. If θ=15º, determine the minimum ramp length L in meters necessary to stop the truck. Use g = 10 N/kg and neglect friction. Don;t forget to convert units

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Question

Expert Solution

Step 1

Given:

speed of truck= 92km/hr= 25.5555m/s

mass of truck is 'M'

kinetic energy of truck = 1/2 *M*V²= 1/2 *M*( 25.5555)²= 326.54M joules

as friction is neglected

so given kinetic energy stored in gravitational potential energy = Mgh

where H= Lsin $θ$

where L is the length of the ramp.

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