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A block starts moving up an inclined plane of inclination 30° with an initial velocity of v0. It comes back to its initial position with velocity v02. The value of the coefficient of kinetic friction between the block and the inclined plane is close to I1000. The nearest integer to I is _____.

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Important Questions on Work, Energy and Power

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JEE Main
IMPORTANT
The displacement of an object of mass 3 kg is given by the relation S=13t2 , where t is time in seconds. If the work done by the net force on the object in 2 s is pq joule, where p and q are smallest integer values, then what is the value of p+q?
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The velocity-time graph of a particle of mass 10 kg is shown in the figure. The net work done on the particle in the first two seconds of the motion is

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HARD
JEE Main
IMPORTANT

On a frictionless surface of the variable slope, a block of mass 2 kg at rest is pushed by applying a horizontal constant force of 40 N as shown. The block reaches the top and leaves the surface and falls under gravity alone. It strikes the surface some distance away with a speed of,

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JEE Main
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The adjoining diagram shows the velocity versus time plot for a particle. The work done by the force on the particle is positive from,

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JEE Main
IMPORTANT
A particle, initially at rest on a frictionless horizontal surface, is acted upon by a horizontal force which is constant in magnitude and direction. A graph is plotted between the work done (W) on the particle against the speed of the particle (v). If there are no other horizontal forces acting on the particle, the graph would look like,
EASY
JEE Main
IMPORTANT

A block of mass m is sliding down an inclined plane with constant speed. At a certain instant t0, its height above the ground is h. The coefficient of kinetic friction between the block and the plane is μ. If the block reaches the ground at a later instant tg, then the energy dissipated by friction in the time interval tg-t0 is

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EASY
JEE Main
IMPORTANT
The upper half of an inclined plane with inclination ϕ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by,
MEDIUM
JEE Main
IMPORTANT
A simple pendulum is released from A as shown. If m and l represent the mass of the bob and length of the pendulum, the gain in kinetic energy at B is
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