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Consider a small block sliding down an inclined plane of inclination 30° with the horizontal. The coefficient of friction is μ=23x, where x is the distance (in meter) through which the mass slides down. The distance covered by the mass before it stops is

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Important Questions on Work, Energy and Power

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A small block of mass 200g is placed on a horizontal slab at a height of 2 m above the floor. The block is pressed against a horizontal spring fixed at one end to compress the spring through 10.0 cm. Upon releasing, the block moves horizontally till it leaves the spring. Calculate the horizontal distance covered by the block after leaving the slab and just before hitting the ground. The spring constant is 50 N m-1.
(Assume g=10 m s-2).
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A block of mass 100 g moving at a speed of 2 m s-1 compresses a spring through a distance 2 cm before its speed is halved. Find the spring constant of the spring
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A mass of 2 kg, initially at a height of 1.2 m above an uncompressed spring with spring constant 2×104 N m-1, is released from rest to fall on the spring. Taking the acceleration due to gravity as 10 m s-2 and neglecting the air resistance, the compression of the spring in mm is
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The potential energy of a particle in a central field has the form U(r)=1r2-1r, where 'r' is the distance from the centre of the field. The magnitude of the maximum attractive force in Newton is
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Which of the following is not a correct statement?
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Water is pumped steadily out of a flooded basement, at the speed of 10 m s-1 through a hose (tube) of radius, 1 cm, passing through a window, 3 m above the water level. The power of the pump is (Assume g=10 m s-2, density of water =1000 kg m-3)
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A constant force of 5 N accelerates a stationary particle of mass 500 gm through a displacement of 5m.The average power delivered is
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A water pump rated 600 W, has an efficiency of 95%. If it is used to raise water through vertical distance of 60 m. The volume of water drawn in 20 minutes, is [Use density of water =1000 kg m-3, g=10 m/s2]