**Option 1.**

1. How will the momentum of the body change if its velocity increases by a factor of 3?

2. A weight of 100 kg fell out of a boat with a mass of 200 kg, moving with a speed of 1m/s. What is the speed of the boat?

3. A body with a mass of 1 kg is lifted by a force of 20 N to a height of 5 m. What is the work of this force?

4. When riding a bicycle on a horizontal road at a speed of 9 km/h, a power of 30 W is developed. Find the driving force.

5. What is the potential energy of the impact portion of a 300 kg pile hammer raised to a height of 1.5 m?

6. A greyhound dog weighing 50 kg, on a hunt runs at a speed of 8 m/s. What is its momentum?

7. How will the kinetic energy of a body change when its velocity increases by a factor of 2?

8. A body was thrown vertically upward with an initial velocity of 72 km/h. To what maximum height will it rise?

9. A ball of mass 100 g was thrown vertically upwards from the surface of the ground. Having risen to a height of 2 m, the ball began to fall downward. At what height relative to the ground was it caught, if it is known that at this moment its kinetic energy was equal to 0.5 J? Neglect the resistance of the air.

10. An automobile with a mass of 1 ton is moving with an acceleration of 1.2 m/s2. Determine the work of tractive force on the first 10 m of the car, if the drag force is 200 H.

**Option 2.**

1. How will the momentum of a body change if its velocity decreases by a factor of 3?

2. A projectile flying horizontally with a speed of 400 m/s with a mass of 40 kg hits a stationary platform with sand with a mass of 10 t and gets stuck in the sand. At what speed did the platform begin to move?

3. A body with a mass of 2 kg and a force of 40 N is lifted to a height of 2 m. What is the work of this force equal?

4. The thrust force of a supersonic airplane at a flight speed of 1170 km/h is 110kN. What is the power of the aircraft’s engines?

5. What was the potential energy of a weight of 200 kg falling to the ground from a height of 2 m?

6. Determine the momentum of a hunting dog with a mass of 60 kg if it runs at a speed of 5 m/s while hunting.

7. How will the kinetic energy of the body change when its velocity decreases by a factor of 2?

8. A body is thrown vertically upward with an initial velocity of 15 m/s. At what height is its potential energy equal to its kinetic energy?

9. Two lead balls of masses m1 = 100 g and m2 = 200 g are moving toward each other with velocities v1 = 4 m/s and v2 = 5 m/s. What kinetic energy will the second ball have after their inelastic collision?

10. A ball is thrown from a height of 2 m vertically downward with a velocity of 6.3 m/s. The ball bounces absolutely elastically off the horizontal surface and rises upward. What is the maximum height at which the ball rises above the horizontal surface? Neglect the resistance of the air.

**Option 3**

1. How would the momentum of a body change if its mass increased threefold?

2. Flying horizontally with a speed of 100 m/s, a bullet with a mass of 50 g hits a stationary ball of sand with a mass of 1.450 kg and gets stuck in the sand. At what speed did the ball roll?

3. A body with a mass of 3 kg and a force of 50 N is lifted to a height of 2 m. What is the work of this force equal?

4.When riding a bicycle on a horizontal road at a speed of 18 km/h, a power of 60 W is developed. Find the driving force.

5. At what height is the potential energy of a mass of 2t equal to 10 kJ?

6. Determine the momentum of a cat with a mass of 3.5 kg when it catches up with a mouse at a speed of 7 m/s.

7. If the velocity of the body is reduced by a factor of 4, how will the kinetic energy change?

8. A ball is dropped from a height of 20m. What speed will the ball have when it hits the ground?

9. At what height relative to the ground did the ball have a velocity of 2 m/s if it was thrown vertically upward from the surface of the ground with an initial velocity of 6 m/s. The mass of the ball is 100 g. Neglect the resistance of the air.

10. A train with a mass of 4000 t moving at a speed of 36 km/h has begun braking. In 1 minute the train travelled 510 m. What is the force of friction acting on the train?

**Option 4**

1. How will the momentum of a body change if its mass decreases by a factor of 3?

2. A load of 100 kg was lowered from above into a trolley with a mass of 200 kg, moving at a speed of 3 m/s. What is the speed of the trolley?

3. A body with a mass of 7 kg is lifted to a height of 10 m by a force of 20 N. What is the work of this force equal?

4. The thrust force of a supersonic airplane at a flight speed of 2340 km/h is 220kN. What is the power of the aircraft’s engines?

5. What is the potential energy of a body of mass 200 kg lifted to a height of 15m?

6. A car of mass 2. Is moving along the road at a speed of 25 m/s. Determine its momentum.

7. Calculate the kinetic energy of a dog with a mass of 60 kg running at a speed of 7 m/s

8. An arrow is shot vertically upward with an initial velocity of 20 m/s. At what height is its potential energy equal to its kinetic energy?

9. Two lead balls of masses m1 = 100 g and m2 = 200 g move toward each other with velocities v1 = 4 m/s and v2 = 5 m/s. What kinetic energy will the balls have after their absolutely inelastic collision?

10. A ball was thrown from a height of 1.25 m vertically downwards with a velocity of 10 m/s. To what height after the impact will it rise, if during the impact 40% of mechanical energy of the ball is lost? Neglect the resistance of the air.