I only need help with e) thank you! In the figure below, a runaway truck with failed brakes is moving downgrade at 36 m/s just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of theta = 15°. The truck’s mass is 1.5 x 104 kg. (a) What minimum length L of the ramp must the ramp have if the truck is to stop at the top of the ramp at height h? (b) Does the minimum length L increase, decrease, or remain the same if the truck’s mass is decreased? Why? (c) If its speed is decreased? Why? (d) What is the velocity of the truck when its at ¾ the length of the ramp? (e) Now suppose that dirt landed on the ramp and made it into a frictional surface and the truck starts to slide down the ramp. Suppose the coefficient of kinetic friction between the ramp and the truck is (mu) sub k and the Normal force is N = mgcos(theta)/4 . From the top the truck starts to slide down the incline, find the speed of the truck when it reaches the bottom of the ramp.
I only need help with e) thank you!
In the figure below, a runaway truck with failed brakes is moving
downgrade at 36 m/s just before the driver steers the truck up a frictionless
emergency escape ramp with an inclination of theta = 15°. The truck’s mass is
1.5 x 104 kg. (a) What minimum length L of the ramp must the ramp have if
the truck is to stop at the top of the ramp at height h? (b) Does the minimum
length L increase, decrease, or remain the same if the truck’s mass is
decreased? Why? (c) If its speed is decreased? Why? (d) What is the
velocity of the truck when its at ¾ the length of the ramp?
(e) Now suppose that dirt landed on the ramp and made it
into a frictional surface and the truck starts to slide down the ramp. Suppose
the coefficient of kinetic friction between the ramp and the truck is (mu) sub k and
the Normal force is N = mgcos(theta)/4 . From the top the truck starts to slide down
the incline, find the speed of the truck when it reaches the bottom of the
ramp.
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