Class 9 – Practice Level 3 – Motion – Set 2 Leave a Comment / By Gulam Hamza / July 6, 2024 Class 9 - Practice Level 3 - Motion - Set 2 Total questions: 15 1. A car accelerates uniformly from 0 to 100 km/h in 10 seconds. Calculate the acceleration in m/s². Topic: Non-uniform Motion $\displaystyle 2.78\text{ }m/s{}^\text{2}$ $ \displaystyle 3.89\text{ }m/s{}^\text{2}$ $ \displaystyle 4.92\text{ }m/s{}^\text{2}$ $ \displaystyle 5.56\text{ }m/s{}^\text{2}$ None 2. A car travels 60 meters in 5 seconds from rest with uniform acceleration. What is the magnitude of the acceleration? Topic: Kinematics $\displaystyle 4.8\text{ }m/s{}^\text{2}$ $ \displaystyle {5.2\text{ }m/s{}^\text{2}}$ $ \displaystyle {6.0\text{ }m/s{}^\text{2}}$ $\displaystyle {8.4\text{ }m/s{}^\text{2}}$ None 3. Two cyclists are moving towards each other with speeds of 10 m/s and 15 m/s respectively. What is their relative velocity? Topic: Relative Velocity 10 m/s 15 m/s 25 m/s 30 m/s None 4. A velocity-time graph shows a curve that slopes downward. What does this indicate about the object's motion? Topic: Graphical Analysis Increasing acceleration Decreasing acceleration Constant velocity Constant acceleration None 5. A stone is thrown vertically upward with a velocity of 40 m/s. Calculate the time taken to reach the highest point and the maximum height reached. $ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$ Topic: Vertical Motion $ \displaystyle {4.08\text{ }s,\text{ }81.63\text{ }m}$ $ \displaystyle {5.10\text{ }s,\text{ }102.04\text{ }m}$ $ \displaystyle {3.50\text{ }s,\text{ }71.43\text{ }m}$ $\displaystyle {4.82\text{ }s,\text{ }98.32\text{ }m}$ None 6. A projectile is launched with an initial velocity of 50 m/s at an angle of 30° to the horizontal. Calculate the horizontal range of the projectile.$ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$ Topic: Projectile Motion 127.55 m 254.9 m 220.83 m 102.5 m None 7. A block of mass 10 kg is pulled up an inclined plane of length 5 meters with a force of 100 N parallel to the incline. The incline makes an angle of 30° with the horizontal. Calculate the work done by the force.$ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$ Topic: Work and Energy 250 J 350 J 450 J 500 J None 8. A 0.5 kg ball is thrown vertically upwards with an initial speed of 20 m/s. Calculate the maximum height it reaches.$ \displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$ Topic: Conservation of Energy 15.3 m 20.4 m 25.5 m 30.6 m None 9. A wheel rotating at 10 rad/s is subjected to a uniform angular deceleration of 2 rad/s². How long will it take to come to rest? Topic: Rotational Motion 2 s 4 s 5 s 10 s None 10. A car of mass 1500 kg moves in a circular track of radius 50 m with a speed of 20 m/s. Calculate the centripetal force acting on the car. Topic: Circular Motion 6000 N 8000 N 9000 N 12000 N None 11. A projectile is launched with an initial velocity of 60 m/s at an angle of 45° to the horizontal. Calculate the time of flight and the horizontal range of the projectile.$\displaystyle \left( {\text{Take }g\text{ }=\text{ }9.8\text{ }m/s{}^\text{2}} \right)$ Topic: Projectile Motion 8.66 s, 366.6 m 6.12 s, 244.8 m 10.2 s, 510.4 m 12.1 s, 512.4 m None 12. A car moving with a velocity of 30 m/s comes to rest in 5 seconds. Calculate the acceleration and the distance traveled by the car. Topic: Kinematic Equations -6 m/s², 75 m -5 m/s², 90 m -4 m/s², 60 m -3 m/s², 45 m None 13. A 2 kg mass is pushed horizontally with a force of 10 N for a distance of 5 meters. If the surface is frictionless, calculate the work done on the mass and its final velocity. Topic: Work-Energy Theorem 50 J, 5 m/s 100 J, 10 m/s 75 J, 7.5 m/s 150 J, 15 m/s None 14. A bullet of mass 0.01 kg is fired from a gun of mass 1 kg with a velocity of 100 m/s. Calculate the recoil velocity of the gun. Topic: Conservation of Momentum -1 m/s -0.1 m/s -0.5 m/s -0.01 m/s None 15. A mass-spring system oscillates with a period of 2 seconds. If the mass is 0.5 kg, calculate the spring constant. Topic: Harmonic Motion 2 N/m 4 N/m 8 N/m 16 N/m None 1 out of 15 Time's up
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