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JEE Advanced
IMPORTANT
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A particle is released one by one from the top of two inclined rough surfaces of height h each. The angles of inclination of the two planes are 30° and 60°, respectively. All other factors (e.g., coefficient of friction, mass of block, etc.) are same in both the cases. Let K1 and K2 be the kinetic energies of the particle at the bottom of the plane in the two cases. Then

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Important Questions on Work, Energy and Power

HARD
JEE Advanced
IMPORTANT

The system shown in figure is released from rest with mass 2 kg in contact with the ground. Pulley and spring are massless, and function is absent everywhere. The speed of 5 kg block when 2 kg block leaves the contact with the ground is (force constant of the spring k:=40 Nm-1 and g=10 ms-2)

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HARD
JEE Advanced
IMPORTANT
A particle of mass m is projected at an angle a to the horizontal with an initial velocity u. The work done by gravity during the time it reaches its highest point is
HARD
JEE Advanced
IMPORTANT
A particle of mass m is projected at an angle α to the horizontal with an initial velocity u. The average power delivered by gravity during the time it reaches its highest point is
MEDIUM
JEE Advanced
IMPORTANT
A particle located in a one-dimensional potential field has its potential energy function asUx=ax4-bx2, where a and b are positive constants. The position of equilibrium x corresponds to
 
HARD
JEE Advanced
IMPORTANT

A large slab of mass 5 kg lies on a smooth horizontal surface, with a block of mass 4 kg lying on the top of it. The coefficient of friction between the block and the slab is 0.25. If the block is pulled horizontally by a force of F=6 N, the work done by the force of friction on the slab, between the instants t=2 s and t=3 s, is g=10 m s-2

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MEDIUM
JEE Advanced
IMPORTANT
A particle of mass m slides along a curved-fiat-curved track. The curved portions of the track are smooth. If the particle is released at the top of one of the curved portions, the particle comes to rest at a flat portion of length l and of μ=μkinetic after covering a distance of

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EASY
JEE Advanced
IMPORTANT
A small block of mass 2 kg is kept on a rough inclined surface of inclination θ=30° fixed in a lift. The lift goes up with a uniform speed of 1 m s-1 and the block does not slide relative to the inclined surface. The work done by the force of friction on the block in a time interval of 2 s is
HARD
JEE Advanced
IMPORTANT
A particle of mass m moves with a variable velocity v, which changes with distance covered x along a straight line as v=kx, where k is a positive constant. The work done by all the forces acting on the particle, during the first t seconds is