Nov 4, 2010

Laws of Motion

Q. Laws of Motion

Question.
Two blocks are in contact and pushing on one another. The blocks are on a frictionless surface. The mass of the blocks are 3.9kg and 9.9kg. The block with the mass of 3.9kg is being pushed into the 9.9kg block with a force of 69N. The 9.9kg block Is being pushed into the 3.3kg block with a force of 11N. What is the magnitude of the force exerted on the 3.9kg block by the 9.9kg block.

Answer.
Let R = force of action-reaction exerted by each block on the other.
Net force on block of mass 3.9 kg 
= 69 - R N 
and its acceleration will be 
= (69 - R) / 3.9 m/s^2

Net force on block of mass 9.9 kg 
= R - 11 N 
and its acceleration will be 
= (R - 11) / 9.9 m/s^2.

Both blocks will move with the same acceleration.
=> (69 - R) / 3.9 = (R - 11) / 9.9
=> R = 52.6 N.

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