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Physics-

General

Easy

Question

A uniform rope of linear mass density $lambda$ and length $lambda$ is coiled on a smooth horizontal surface. One end is pulled up with constant velocity v. Then the average power applied by the external agent in pulling the entire rope just off the ground is:

$\frac{1}{2} λ l v^{2} + \frac{λ l^{2} g}{2}$
$λ l g v$
$\frac{1}{2} λ v^{3} + \frac{λ l v g}{2}$
$λ l g v + \frac{1}{2} λ v^{3}$

The correct answer is: $fraction numerator 1 over denominator 2 end fraction lambda v to the power of 3 end exponent plus fraction numerator lambda l v g over denominator 2 end fraction$

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Two blocks A and B of masses m and 2m respectively are connected by a spring of spring constant k. The masses are moving to the right with a uniform velocity $v subscript 0 end subscript$ each, the heavier mass leading the lighter one. The spring is of natural length during this motion. Block B collides head on with a third block C of mass 2m. at rest, the collision being completely inelastic. The velocity of block B just after collision is-

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physics-General

parallel

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