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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 μk. Of the four following cases, the force you apply on the box will be smallest when you

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Important Questions on Friction in Solids and Liquids

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A block of mass m is pulled along a horizontal surface by applying a force at an angle θ with the horizontal. If the block travels with a uniform velocity u and has a displacement s and the coefficient of friction is μ, 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 36 km h-1. If the coefficient of static friction between road and tyres is 0.4, the shortest distance in which the car can be stopped is (Take g=10 m s-2)
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Water and gasoline surfaces are open to the atmosphere at the same elevation. Find the height h of the third liquid in the right leg. (Density of gasoline 600 kg m-3, of liquid is 1600 kg m-3 and water is 1000 kg m-3)

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

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Equal volumes of two immiscible liquids of densities 2ρ and 4ρ are filled in a vessel as shown in the figure. Two small holes are punched at depth h2 and  3h2 from the surface of the lighter liquid. If v1 and v2 are the velocities of efflux at these two holes respectively, then, v2v1 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 A at a depth h below the surface of the liquid,

(i) the gauge pressure at point A is ρgh.

(ii) the gauge pressure at point A is Pa+ρgh.

(iii) The pressure at point A is ρgh.

(iv) The pressure at point A is Pa+ρgh.

The correct alternative is