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3. An object of mass, m = 56 kg starts to slide from rest on a curved ramp from
height, H = 37 m above the end of the ramp (as shown in the figure). Consider
the ramp to be frictionless and neglect the effects of air resistance.
H
bend of
ramp
(a) What is the speed of the object at the end of the ramp?
(b) If the velocity of the object at the end of the ramp makes an angle 0 = 21°
with the horizontal, what is maximum height, h of its jump above the end of
the ramp?

Expert Solution

Step 1

Given,

Mass, $m = 56 k g$

Height, $H = 37 m$

Let the velocity at the end of the ramp be v

Step 2

a. By conservation of energy,

$I n t i a l p o t e n t i a l e n e r g y = F i n a l k i n e t i c e n e r g y \Rightarrow m g H = \frac{1}{2} m v^{2} \Rightarrow 9.8 \times 37 = \frac{1}{2} v^{2} \Rightarrow v = 26.92 m / s$

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