Force Test - 3...

A boy sitting on the top most berth in the compartment of a train, which is just going to stop at a railway station, drops an apple aiming at the open hand of his brother sitting vertically below him at a distance of about 2 m. The apple will fall

A lead ball strikes a wall and falls down. A tennis ball having the same mass and same velocity strikes the same wall and bounces back. Which of the following statements is correct?

Three blocks of masses m₁ = m, m₂ = 2m and m₃ = 3m, connected by two strings, are placed on a horizontal frictionless surface, as shown in the figure. A horizontal force F is applied to mass m₁ as shown.



The force on mass m₃ is

A parrot is in a cage, which is hanging from a spring balance. Initially, the parrot sits in the cage; and in the second instance, the parrot flies about inside the cage. The reading of the balance

Two unequal masses are tied together with a compressed spring. When the cord is burnt with a match, releasing the spring, the two masses fly apart with equal

A monkey weighing 20 kg slides down a vertical rope with a constant acceleration of 7.0 ms^-2. If g = 10 N kg^-1, the tension in the rope will be

A force-time graph for the motion of a body is shown in figure. Change in linear momentum between 0 and 8 s is

Two balls, each of mass 0.25 kg, moving with 3 m/s and 1 m/s towards each other in a straight line, collide. The balls stick together after the collision. The magnitude of the final velocity of the combined mass is

Statement 1: While walking on the ice, person takes small steps instead of running to avoid slipping.
Statement 2: While walking on the ice in small steps, he increases the normal downward force, which increases the normal reaction, which in turn increases the friction.

A fast bowler bowls at 144 km/hr at the batsman, the batsman moves forward and hits back the ball with a speed of 162 km/hr towards bowler. What will be the magnitude of force exerted by the bat on the ball if the time of the contact is 1 millisecond?
(Assume that the mass of the ball is 160 grams)

Two masses of 10 kg and 20 kg are connected by a massless spring. When a force of 200 N is applied on a 20 kg mass, the 10 kg mass accelerates at 12 m/sec². What is the acceleration of the 20 kg mass?

From a tower of height 20 m, a boy throws a stone in the vertically upward direction with a velocity of 40 m/s and at the same time a girl drops another identical stone from the same tower. When the momentum of the stone dropped by the girl is maximum, what will be displacement of the stone projected in the upward direction from the top of the tower?
(Take acceleration due to gravity of earth as 10 m/s²)

A large truck and a car moving with same velocity have a head on collision. Which of the following is an INCORRECT statement?

A block is placed on a rough horizontal surface. A time dependent horizontal force F = kt acts on the block, where k is the positive constant. Acceleration-time graph for the block is

A particle of mass m is tied to a light string and rotated with a speed v along the circular path of the radius 'r' in horizontal plane. If T is the tension in the string and mg = gravitational force on the particle, then pick the correct option(s).

i. mg will act radially outward
ii. mg will act vertically downward
iii. Tension will act radially outward
iv. Tension will act radially inward

Two blocks initially at rest, having masses m₁ = 1 kg and m₂ = 2 kg moving under the action of external forces, attain the velocities of 5 m/s and 10 m/s in 5 s. Ratio of the forces acting on the two bodies is

Which of the following assumptions is/are made in the law of conservation of momentum?

(i) Initial velocity of the object is zero.
(ii) Initial and final velocities of the object remain constant.
(iii) There is no external unbalanced force that acts on the system.

An object of mass 2 kg travelling in a straight line with a velocity of 9 ms^-1 collides with and sticks to a stationary wooden block of mass 4 kg. What is the velocity of both the combined objects if they both move together in the same straight line after collision?

A ball of mass 0.3 kg coming towards a player with a velocity of 10 ms^-1 is kicked back with a velocity of 20 ms^-1 in opposite direction. If the impact lasts for seconds, the average force involved is

A car moving at a speed 'v' is stopped by a retarding force F in distance 's'. If the speed of the car were 3v, then the force needed to stop it within the same distance 's' would be