HARD
JEE Main
IMPORTANT
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A particle is moving along the x -axis with its coordinate with time t given by xt=10+8t-3t2. Another particle is moving along the y -axis with its coordinate as a function of time given by yt=5-8t3. At t=1 s, the speed of the second particle as measured in the frame of the first particle is given as v. Then vin m s-1 is ___________.

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Important Questions on Laws of Motion

MEDIUM
JEE Main
IMPORTANT
A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g=10 m s-2)
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MEDIUM
JEE Main
IMPORTANT
A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some point, the rope deviated at an angle of 45° at the roof point. If the suspended mass is at equilibrium, the magnitude of the force applied is g=10 m s-2
HARD
JEE Main
IMPORTANT
A ball is thrown upward with an initial velocity V0 from the surface of the earth. The motion of the ball is affected by a drag force equal to  mγv2 (where m is mass of the ball, v is its instantaneous velocity and γ is a constant). Time taken by the ball to rise to its zenith is:
MEDIUM
JEE Main
IMPORTANT
Two blocks  A and  B of masses mA=1 kg and mB=3 kg are kept on the table as shown in figure. The coefficients of friction between A and B is 0.2 and between  B and the surface of the table is also 0.2. The maximum force F that can be applied on B horizontally, so that the block  A does not slide over the block B is : [Take  g=10 m/s2 ]
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HARD
JEE Main
IMPORTANT
A man (mass =50 kg ) and his son (mass =20 kg ) are standing on a frictionless surface facing each other. The man pushes his son so that he starts moving at a speed of 0.70 m s-1 with respect to the man. The speed of the man with respect to the surface is:
HARD
JEE Main
IMPORTANT
A smooth wire of length 2πr is bent into a circle and kept in a vertical plane. A bead can slide smoothly on the wire. When the circle is rotating with angular speed ω about the vertical diameter AB, as shown in figure, the bead is at rest with respect to the circular ring at position P as shown. Then the value of ω2 is equal to:
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HARD
JEE Main
IMPORTANT

A block of mass 5 kg is (i) pushed in case A and (ii) pulled in case B, by a force F=20 N, making an angle of 30o with the horizontal, as shown in the figures. The coefficient of friction between the block and floor is μ=0.2. The difference between the accelerations of the block, in case B and case A will be:
g=10m s-2
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EASY
JEE Main
IMPORTANT
A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is: [Take g=10 m s-2 ]
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