Question

A body of mass 2kg fallls freely from rest through a height of 50m and come to rest having penetrated 5.0m of sand. Calculate:
i. The velocity which the body hit the sand.
ii. The time taken in falling
iii. The average force exerted by the sand in bringing the body to rest

Answer 1

mass of the body = 2 kg.
height = 50 metres.
initial velocity of body = 0 m/s.
final velocity of body = ?
We know that acceleration due to gravity = 9.8 m/s².
according to third equation of uniformly accelerated motion=> v² = u²+2gh
v² = 0 + 2×9.8×50.
v² = 980
v = √980
v = 31.3 m/s
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according to first equation of uniformly accelerated motion that is v = u + g t.
31.3 = 0 + 9.8 x t
time = 31.3 / 9.8.
time = 3.19 seconds.
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