a ball of mass 100g dropped from a height and reaches ground in 4sec.After hitting the ground,it rebounds with 80%of its K.E. .Find the height at which ball reaches after rebound.
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Explanation:
As we know that impulsive force is give by
F.t=m(V-U)
now we have to find the velocity before collision with ground
so mgh
1
=
2
1
mv
1
2
v
1
2
=
2gh
1
v
1
=7m/sec
again the velocity of ball after collision with ground will be
mgh
2
=
2
1
mv
2
2
v
2
2
=
2gh
2
v
2
=3.50m/sec
hence net velocity "V"=v
1
+v
2
=10.53m/sec
so from impulsive force equation we have to put all these value (U=0)
F=
t
m(V−U)
=
0.01
0.1(10.53)
=105.3 N
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