JEE Main Physics — Practice Paper
JEE Main · Physics
General instructions: Attempt all questions. Marks for each question are shown in the right margin. Internal choice, where given, is indicated by “OR”.
Section A
- 1.
A block of mass 2 kg is pushed horizontally across a surface with a force of 12 N. If the coefficient of kinetic friction is 0.4, what is the acceleration of the block? (g = 10 m/s²)
[4]- (a)1 m/s²
- (b)2 m/s²
- (c)3 m/s²
- (d)4 m/s²
- 2.
Two blocks A (mass 3 kg) and B (mass 2 kg) are in contact on a horizontal frictionless surface. A horizontal force of 15 N is applied to block A. What is the magnitude of force exerted by A on B?
[4]- (a)3 N
- (b)6 N
- (c)9 N
- (d)12 N
- 3.
An object of mass 4 kg is thrown vertically upward with initial velocity 30 m/s. What is the work done by gravity when the object reaches maximum height? (g = 10 m/s²)
[4]- (a)−1800 J
- (b)−900 J
- (c)900 J
- (d)1800 J
- 4.
A car of mass 1000 kg accelerates uniformly from rest to 20 m/s in 10 seconds. What is the power delivered by the engine at t = 5 seconds?
[4]- (a)10 kW
- (b)20 kW
- (c)30 kW
- (d)40 kW
- 5.
A ball of mass 0.5 kg is dropped from rest at a height of 20 m. Just before it hits the ground, its kinetic energy is: (g = 10 m/s², ignore air resistance)
[4]- (a)50 J
- (b)100 J
- (c)150 J
- (d)200 J
- 6.
A block of mass 2 kg is pulled along a horizontal surface by a force of 20 N applied at an angle of 30° above the horizontal. The block moves 5 m. What is the work done by the applied force? (cos 30° = √3/2, √3 ≈ 1.73)
[4]- (a)50√3 J
- (b)60√3 J
- (c)70√3 J
- (d)80√3 J
- 7.
A block is pushed horizontally off a cliff with speed v. Another identical block is dropped vertically from the same height. Ignoring air resistance, which statement is correct just before they hit the ground?
[4]- (a)Both have equal kinetic energy
- (b)The pushed block has greater kinetic energy
- (c)The dropped block has greater kinetic energy
- (d)Their kinetic energies are in ratio v:1
- 8.
A stone of mass 2 kg is thrown horizontally from a cliff with velocity 10 m/s. After 2 seconds of flight, what is the work done by gravity? (g = 10 m/s²)
[4]- (a)200 J
- (b)400 J
- (c)600 J
- (d)800 J
- 9.
A 5 kg block is sliding on a horizontal surface with coefficient of kinetic friction 0.2. It comes to rest after traveling 10 m. What was its initial kinetic energy? (g = 10 m/s²)
[4]- (a)50 J
- (b)100 J
- (c)150 J
- (d)200 J
- 10.
A force F is applied to an object of mass 1 kg, and the object moves in a straight line according to the equation x = 2t + 3t². The work done by force F in the first 2 seconds is: (in Joules)
[4]- (a)16 J
- (b)24 J
- (c)32 J
- (d)40 J
Section B
- 11.
A block of mass 10 kg is pushed up a smooth incline (angle 30°) by a force of 80 N applied parallel to the incline. Starting from rest, the block moves 5 m along the incline. Find the final velocity of the block. (g = 10 m/s²). Round your answer to the nearest integer.
[4][Figure: A block on an incline at 30° to horizontal, with force arrow pointing up the incline]
- 12.
A rubber ball of mass 1.5 kg is dropped from a height of 20 m. After the first bounce, it rises to 80% of the original height. What is the kinetic energy (in Joules) of the ball just before it hits the ground the second time? (g = 10 m/s²). Round your answer to the nearest integer.
[4][Figure: A ball shown at initial height, then bouncing to a reduced height]
- 13.
A box of mass 25 kg is dragged horizontally across a rough surface by a rope at an angle of 37° above the horizontal. The tension in the rope is 200 N, and the coefficient of kinetic friction is 0.3. The box moves a distance of 8 m. Calculate the work done by the tension force. (cos 37° = 0.8, g = 10 m/s²). Round your answer to the nearest integer.
[4][Figure: A box being dragged by a rope at 37° angle to horizontal]