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You want to apply a force on a box so that it moves with constant speed across a horizontal floor. The coefficient of kinetic friction between the box and the floor is . Of the four following cases, the force you apply on the box will be smallest when you
(a)push it with a force applied horizontally at an angle in downward direction.
(b)pull it with a force applied horizontally at the same angle as in , in upward direction.
(c)do either or since the applied force is the same.
(d)push or pull with a force applied horizontally.

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Important Questions on Friction in Solids and Liquids
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A block of mass is pulled along a horizontal surface by applying a force at an angle with the horizontal. If the block travels with a uniform velocity and has a displacement and the coefficient of friction is , then, the work done by the applied force is

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A car is moving on a horizontal road with a speed of . If the coefficient of static friction between road and tyres is , the shortest distance in which the car can be stopped is (Take )

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U-tube containing a liquid moves with a horizontal acceleration along a direction joining the two vertical limbs. The separation between these limbs is . The difference in their liquid levels is

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Equal volumes of two immiscible liquids of densities and are filled in a vessel as shown in the figure. Two small holes are punched at depth and from the surface of the lighter liquid. If and are the velocities of efflux at these two holes respectively, then, is

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Assertion: A horse has to pull a cart harder during the first few steps of his motion.
Reason: The first few steps are always difficult.

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Digboi mine in Assam is the deepest in India. In this mine the conditions as compared to those at the surface are

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Consider a liquid at rest in a container which opens into the atmosphere. At any point at a depth below the surface of the liquid,
(i) the gauge pressure at point is .
(ii) the gauge pressure at point is .
(iii) The pressure at point is .
(iv) The pressure at point is .
The correct alternative is
