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Question: A vehicle of 100 kg is moving with a velocity of 5 m/sec. To stop it in \(\frac{1}{10}\)sec, the req...

A vehicle of 100 kg is moving with a velocity of 5 m/sec. To stop it in 110\frac{1}{10}sec, the required force in opposite direction is

A

5000 N

B

500 N

C

50 N

D

1000 N

Answer

5000 N

Explanation

Solution

m=100kgm = 100kg u=5m/s,u = 5m/s, v=0v = 0 t = 0.1 sec

Force=mdvdt=m(vu)tForce = \frac{mdv}{dt} = \frac{m(v - u)}{t} =100(05)0.1= \frac{100(0 - 5)}{0.1}

F=5000NF = - 5000N