A block having mass of 5 kg has a velocity of 15 m/sec horizontally on a smooth frictionless
surface. Determine the value of the horizontal force to be applied to the block for bringing the
block to rest in 5 seconds.
Answers
Answered by
3
A block having mass of 5 kg has a velocity of 15 m/sec horizontally on a smooth frictionless
surface. Determine the value of the horizontal force to be applied to the block for bringing the
block to rest in 5 seconds.
Answered by
0
Answer:
Correct option is A
kinetic energy of block = work done by friction + potential energy of spring
2
1 mv 2 =f.x+1 kx2
2
equation 1
frictional force
f=μmg=0.1×50×10=50
Initial velocity =2 m/s k=100
by putting all these values in equation 1
we get,
2
1
×50×(2)
2
=50x+
2
1
×100×x
2
⇒x
2
+x−2=0
by solving this equation we get
x=1,x=−2
x=−2 is not possible
then x=1
thus the maximum compression of spring is 1m
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