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Question: An 8 kg block of ice, released from rest at the top of a 1.5 m long smooth ramp, slides down and fal...

An 8 kg block of ice, released from rest at the top of a 1.5 m long smooth ramp, slides down and falls with a velocity 2.5 ms-1. Find angle of the ramp with horizontal.

A

120

B

180

C

150

D

300

Answer

120

Explanation

Solution

v2 = (2g sin θ)s

or sin θ = v22gs=2.5×2.52×10×1.5=0.52.4=0.20\frac { v ^ { 2 } } { 2 g s } = \frac { 2.5 \times 2.5 } { 2 \times 10 \times 1.5 } = \frac { 0.5 } { 2.4 } = 0.20 or θ = 120.