Question
A pendulum with a bob of mass 30g is lifted to height of 5.00cm above its lowest point and allowed to fall so that collides elastically with a block of mass 20g that rests on a smooth horizontal floor. The block stops 5 seconds after the collision. Assuming no sound is generated during the collision, determine the:
a)speed of the bob just before it collides with the block
b)distance travelled by the block before it stops
c)deceleration of the block
a)speed of the bob just before it collides with the block
b)distance travelled by the block before it stops
c)deceleration of the block
Answers
PE=KE
m₁gh =m₁v₁²/2
v₁ =sqrt(2gh) = sqrt(2•0.03•0.05) =
=0.055 m/s.
m₁v₁ = m₁u₁ + m₂u₂
u₂=2m₁v₁/(m₁+m₂)=2•0.03•0.055/(0.03+0.02) = 0.066 m/s.
0= u₂ -at
a= u₂/t=0.066/5= 0.0132 m/s²,
s=at²/2=0.0132•5²/2=0.165 m
m₁gh =m₁v₁²/2
v₁ =sqrt(2gh) = sqrt(2•0.03•0.05) =
=0.055 m/s.
m₁v₁ = m₁u₁ + m₂u₂
u₂=2m₁v₁/(m₁+m₂)=2•0.03•0.055/(0.03+0.02) = 0.066 m/s.
0= u₂ -at
a= u₂/t=0.066/5= 0.0132 m/s²,
s=at²/2=0.0132•5²/2=0.165 m
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