300
Minutes
90
Questions
4 / -1
Marking
Q1. Three projectiles A, B and C are thrown from the same point in the same plane. Their trajectories are shown in the figure.
Which of the following statements is true?
The time of flight is same for all the three projectiles.
The launch speed is greatest for projectile C.
The horizontal velocity component is greatest for projectile C.
All of the above.
Q2. Assertion (A): Path of a projectile with respect to another projectile is straight line.
Reason (R): Acceleration of a projectile with respect to another projectile is zero.
Both, (A) and (R), are true and (R) is the correct explanation of the assertion
Both, (A) and (R), are true but (R) is not the correct explanation of assertion
If (A) is true but (R) is false
If (A) is false but (R) is true
Q3. The x and y coordinates of a particle at any time t are given by x = 7t + 4t² and y = 5t, where x and y are in m and t in s. The acceleration of the particle at 5s is
zero
8 m/s²
20 m/s²
40 m/s²
Q4. The equation of a projectile is y = √3x - gx²/2.
Find the angle of projection.
30°
60°
45°
None of these
Q5. A ball is thrown up at an angle with the horizontal. Then the total change of momentum by the instant it returns to ground is
acceleration due to gravity × total time of flight
weight of the ball × half the time of flight
weight of the ball × total time of flight
weight of the ball × horizontal range
Q6. In which of the following graphs, the total change in momentum is zero?
Q7. A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass 5 kg. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is (g = 9.8 m/s²)
49N
Zero
36.75N
12.75N
Q8. Block B is moving towards right with constant velocity v₀. Velocity of block A with respect to block B is - (Assume all pulleys and strings are ideal)
v₀/2 left
v₀/2 right
3/2 v₀ right
3/2 v₀ left
Q9. Figure shows a 5 kg ladder hanging from a string that is connected with a ceiling and is having a spring balance connected in between. A boy of mass 25 kg is climbing up the ladder at acceleration 1 m/s². Assuming the spring balance and the string to be massless and the spring to show a constant reading, the reading of the spring balance is: (Take g = 10 m/s²)
30 kg
32.5 kg
35 kg
37.5 kg
Q10. As shown in the figure, two equal masses each of 2 kg are suspended from a spring balance. The reading of the spring balance will be
Zero
2 kg
4 kg
Between zero and 2 kg
Q11. A projectile is thrown horizontally from a height of 10 m with velocity of √2 m/s. The projectile will fall, from the foot of projection at distance (g = 10 m/s²)
1 m
2 m
3 m
√2 m
Q12. A body of mass 10 kg is suspended by two massless strings making angles 45° and 30° with horizontal as shown in the figure then
√2T₁ + 3T₂ = 0
2T₁ - √3T₂ = 0
√2T₁ - 3T₂ = 0
√2T₁ - √3T₂ = 0
Q13. A wooden block of mass m resting on a rough horizontal table (coefficient of friction = μ) is pulled by a force F as shown in figure. The acceleration of the block moving horizontally is:
F cos θ / m
µF cos θ / m
F / m (cosθ + µ sinθ) - µg
None
Q14. At a given instant, A is moving with velocity of 5 m/s upwards. What is velocity of B at that time?
15 m/s↓
15 m/s↑
5 m/s↓
5 m/s↑
Q15. A force of 100 N is applied on a block of mass 3 kg as shown in figure. The coefficient of friction between the surface and the block is 1/4. Then the friction force acting on the block is
15 N downwards
20 N downwards
25 N upwards
30 N upwards
...and 75 more challenging questions available in the interactive simulator.