Recent questions in Laws of Motion

A monkey of mass $20\; kg$ is holding a vertical rope. The rope will not break when mass of $25\; kg$ is suspended from it. but will break if the mass exceeds $25\; kg$. what is the accelerations (maximum) with which the monkey can climb up along the rope. $(g=10 m/s^2)$

asked Jul 15, 2013 by meena.p

1 answer

A $30\; g$ bullet initially travelling at $120 \;m/s$ penetrates $12\; cm$, into a wooden block. The average resistance exerted by block is

asked Jul 15, 2013 by meena.p

1 answer

A car of 1000 kg with velocity 18 km/hr is stopped by brake of 1000 N. distance covered by it before stopping is

asked Jul 15, 2013 by meena.p

1 answer

Three forces acting on a body as shown. To have resultant force only along y-direction, the magnitude of the minimum additional force needed is

asked Jul 15, 2013 by meena.p

1 answer

A block rests on a rough inclined plane making an angle of $30 ^{\circ}$ with the horizontal. The coefficient of static friction between block and the plane is 0.8. If the frictional force on the block is 10 N, the mass of block is $(g=10 m/s^2)$

asked Jul 15, 2013 by meena.p

1 answer

A particle of mass $0.3 kg$ is subjected to a force $F=-kx$ with $k=15 N/m$. What will be its initial acceleration if it is released from a point $20 cm$ away from orgin?

asked Jul 15, 2013 by meena.p

1 answer

The upper half of an inclined plane with inclination of $\phi$ is perfectly smooth while the lower half is rough. A body starting from rest at top will again come to rest at bottom if coefficient of friction for lower half is given by

asked Jul 15, 2013 by meena.p

1 answer

Sand is dropped on a conveyor belt at rate of M kg/s Force necessary to keep the belt moving with a constant velocity v m/s will be

asked Jul 15, 2013 by meena.p

1 answer

The position x of a body of mass 2 kg various with time as $x=2t^2+3t-4$. Find the force acting on the body

asked Jul 15, 2013 by meena.p

1 answer

Two blocks are in contact on a frictionless table. One has mass m and another mass '2m'. A force F is applied on '2m' as shown. Now the force F is applied on 'm' from right. In the two cases respectively the ratio of force of contact between the blocks is

asked Jul 14, 2013 by meena.p

2 answers

A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at $2 m/s^2 $. He reaches the ground with a speed of 3 m/s. At what height, did he bail out $(g=10 m/s^2)$

asked Jul 14, 2013 by meena.p

1 answer

A body is suspended by a string from the ceiling of an elevator. It is observed that the tension in the string is doubled when the elevator is accelerated. The acceleration will be

asked Jul 14, 2013 by meena.p

1 answer

A 600 kg rocket is set for a vertical firing. If the exhaust speed is 1000 m/s. The mass of gas ejected per second to supply the thrust needed to overcome the weight of the rocket is

asked Jul 13, 2013 by meena.p

1 answer

The contact force exerted by a body A on another body is equal to the normal force between the bodies, we conclude that 1) surface must be smooth 2)force of friction between two bodies may be equal to zero 3) magnitude of normal reaction is equal to that of friction 4) bodies may be rough

asked Jul 13, 2013 by meena.p

1 answer

Two cars of unequal masses use similar tyres if they are moving at same initial speed. the minimum stopping distance

asked Jul 12, 2013 by meena.p

1 answer

A body of 0.02 kg falling from height 5 m into a pile of sand.The body penetrates the sand a distance of 5cm before stopping what force has the sand exerted on the body?

asked Jul 12, 2013 by meena.p

1 answer

A mass of 10 kg is hung to a spring balance in lift. If the lift is moving with an acceleration g/3 in upward and downward directions. choose the correct option related to the reading of the spring balance 1)13.3 kg ,2)6.67 kg, 3) 32.6 kg, 4) 0

asked Jul 12, 2013 by meena.p

1 answer

A circket ball of mass 150 g is moving with a velocity of 12 m/s and is hit by a bat so that the ball is turned back with a velocity of $20 m/s$ .Force on the ball acts for 0.01s, the average force exerted by the bat on the ball

asked Jul 12, 2013 by meena.p

1 answer

A cyclist moves in circular path of radius $100 m$ If the coefficient of friction is 0.2, then the maximum velocity with which the cyclist must take the turn with leaning inwards

asked Jul 12, 2013 by meena.p

1 answer

A mass M kg is suspended by a weightless string. The horizontal force that is required to displace it untill the string makes an angle $45^{\circ}$ with initial vertical direction is

asked Jul 12, 2013 by meena.p

1 answer

A self propelled car (point mass) runs on a track with constant speed V It passes through three positions A,B, and C on the circular part of track. Suppose $N_A\;N_B$ and $N_C$ are normal force exerted by the track on the car. When passing through A,B, and C respectively then

asked Jul 12, 2013 by meena.p

1 answer

A body of mass M is acted upon by a force F and acceleration produced is 'a' . If three equal forces each equal to F and inclined to each other at $120 ^{\circ}$ act on the same body , the acceleration produced will be

asked Jul 12, 2013 by meena.p

1 answer

A block of mass 1 kg lies on a horizontal surface in a truck the coefficient of static friction between the block and the surface is 0.6. If the acceleration of the truck is $5m/s^2$, the frictional force acting on the block is

asked Jul 12, 2013 by meena.p

1 answer

A small disc is on top of a hemisphere of radius R. What is the smallest horizontal velocity v that should be given to the disc for it to leave the hemisphere and not slide down ? (assume there is no friction)

asked Jul 12, 2013 by meena.p

1 answer

Objects A and B each of mass m are connected by light inextensible cord. They are constrained to move on a frictionless ring in a vertical plane. The object is released from rest at the positions as shown. The tension T in the cord just after release will be

asked Jul 12, 2013 by meena.p

1 answer

A uniform thick string of length 5 m is resting on horizontal frictionless surface. If it is pulled by a horizontal force of 5N from one end, the tension in the string at 1 m from the force applied is

asked Jul 12, 2013 by meena.p

1 answer

In the figure shown acceleration of A is $a_A=15 \hat i+15 \hat j$ then the acceleration of B is

asked Jul 12, 2013 by meena.p

2 answers

Three equal masses of mass m each are hanging on a string passing over a fixed palley as shown. What is the tension in the string connecting weight B and C

asked Jul 12, 2013 by meena.p

1 answer

Ten one rupee coins are put on top of each other on a table. Each coin has mass 'm' kg. What is the reaction of 6th coin counted from bottom on the 7th coin counted from bottom

asked Jul 11, 2013 by meena.p

1 answer

An insect crawls up a hemispherical surface very slowly. The coefficient of friction between insect and surface is $\large\frac{1}{3}$. If the line joining the center of hemispherical surface to the insect makes an angle $\alpha$ with the vertical the maximum possible angle of $\alpha$ is

asked Jul 11, 2013 by meena.p

1 answer

Starting from rest a body slides down a $45^{\circ}$ inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between body and plane is

asked Jul 11, 2013 by meena.p

1 answer

The graph shows the displacement of a particle going along x-axis as a function of time. The force acting on the particle is zero in the region

asked Jul 11, 2013 by meena.p

1 answer

A machine gun of mass 10 kg fires 30 gm bullet at the rate of 6 bullets per second with a speed of $400 ms^{-1}$ .The force required to hold the gun is

asked Jul 11, 2013 by meena.p

1 answer

A balloon of mass 30 kg is falling down with an acceleration of $1.8m/s^{-2}$.Then some mass is removed from the balloon.As a result the balloon moves upwards with an acceleration of $2.2 ms^{-2}$. The mass removed from the balloon is

asked Jul 11, 2013 by meena.p

1 answer

A car of mass m is driven with an acceleration 'a' along a straight level road. against a constant external resistive force R. The velocity of the car is V, the rate at which the engine of the car is doing work is

asked Jul 11, 2013 by meena.p

1 answer

Suppose that a shoelace passes without friction through 5 holes on each side of your shoe. If the tension in that shoe lace is 10 N, how much total force is the shoelace exerting on the right side of your shoe?

asked Jul 11, 2013 by meena.p

1 answer

A particle has initial velocity $\bar v =3 \hat i+4 \hat j$ and a constant force $F=4 \hat i-3 \hat j$ acts on the particle. The path of the particle is

asked Jul 11, 2013 by meena.p

1 answer

A nozzle is discharging water at a rate of 200 litre per second with a speed of 10 m per second. If the water strikes a wall at right angles and does not bounce of the wall, find the force F newton exerted by the wall on water. mass of 1 litre of the water is 1kg

asked Jul 11, 2013 by meena.p

1 answer

A man of mass 60 kg is pulling a mass M by an inextensible string passing over a frictionless (massless) pulley. The coefficient of friction between man and the ground is $\mu=\large\frac{1}{2}$. The maximum value of M that can be pulled by the man without slipping on ground is

asked Jul 11, 2013 by meena.p

1 answer

If you want to pile up sand onto a circular area of radius R, the greatest height of the pile to be erected without spilling sand on to the surrounding area is ($\mu$ - coefficient of friction between sand particles)

asked Jul 11, 2013 by meena.p

1 answer

A block of mass $m=2 kg$ is resting on a rough inclined plane of inclination $30 ^{\circ}$ as shown. the coefficient of friction between the block and the plane $\mu=0.5$ . What minimum force F should be applied perpendicular to the plane on the block so that the block does not slip on the plane $(g=10 m/s^2)$

asked Jul 11, 2013 by meena.p

1 answer

A block is placed on a rough inclined plane of inclination $\theta=30 ^{\circ}$ . If the force to drag it along the plane is to be smaller than to lift it, the coefficient of friction $\mu$ should be less than

asked Jul 11, 2013 by meena.p

1 answer

A block is placed on a rough horizontal plane attached with an elastic spring as shown.

asked Jul 11, 2013 by meena.p

1 answer

The coefficient of friction between the block A of mass m and block B of mass 2 m is $\mu$. There is no friction between block B and the inclined plane. If the system of blocks A and B is released from rest and there is no slipping between A and B then

asked Jul 10, 2013 by meena.p

1 answer

A system consists of three blocks A,B and C arranged as shown. The system is pushed by a force as shown in figure. All surfaces are smooth except between B and C,where coefficient of friction is $\mu$. Minimum value of F to prevent block B from slipping downward is

asked Jul 10, 2013 by meena.p

1 answer

A homogeneous chain of length L lies on a table. The coefficient of friction between chain and table is $\mu$. The maximum length which can hang over the table in equilibrium is ( The vertical portion of table is smooth)

asked Jul 10, 2013 by meena.p

1 answer

A car is going at a speed of 6m/s when it encouters a 15 m slope of angle $30 ^{\circ}$. The frictional coefficient between road and tyre is 0.5. The driver applies the brakes. The minimum speed of car with which he can reach the bottom is $(g=10 m/s^2)$

asked Jul 10, 2013 by meena.p

1 answer

Two blocks of 100 kg and 50 kg connected by a massless string passing over a frictionless pulley rests on frictionless inclined plates inclined at angles $30^{\circ}$ and $60^{\circ}$ what is the acceleration and which way the system moves? $(g=10 m/s)$

asked Jul 10, 2013 by meena.p

1 answer

In the figure $A=10 kg,B=5 kg$ and coefficient of friction between A and table is $ \mu=0.2$ . find the minimum value of mass C which may stop A from slipping

asked Jul 10, 2013 by meena.p

1 answer

A box is gently dropped on a conveyor belt in an airport moving of 3m/s. If the coeffiecient of friction between belt and box is 0.5, how far will the box move on the belt (relative to belt) before coming to rest ?

asked Jul 10, 2013 by meena.p

1 answer

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