Question

SCIENCE
Mathematics
Q.3 Single Choice
Tom of mass 3 kg is sleeping over skate board at rest
and Jerry of mass 500 g is running with a velocity of 20
m/s towards Tom. If Jerry jumped on Tom and both start
skating on the same board then the combined velocity of
Tom and Jerry just after they collide is (Assume skate
board has a mass 500 g)
ml​

Answer 1

Given :

Tom of mass 3 kg is sleeping over skate board at rest and Jerry of mass 500 g is running with a velocity of 20 m/s towards Tom.

skate board has a mass 500 g

To Find  : Jerry jumped on Tom and both start skating on the same board then the combined velocity of Tom and Jerry just after collide

Solution:

Tom of mass 3 kg is sleeping over skate  of 500 g

Hence total Mass = 3 + 0.5  = 3.5 kg

Jerry of mass 500 g is running with a velocity of 20 m/s towards Tom

initial momentum = mv      as Tom  is one rest

= 0.5 * 20  

= 10  kgm/s

Jerry jumped on Tom and both start skating on the same board

Hence total mass = 3.5 + 0.5  = 4 kg

10 = 4 ( v)

=> v = 2.5

combined velocity of Tom and Jerry just after collide = 2.5  m/s

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