Newton's third law of motion states that for every action, there is an equal and opposite reaction. Here are 10 mathematical problems along with their solutions based on this law:
Problem: A person pushes a wall with a force of 100 N. Determine the magnitude and direction of the force exerted by the wall on the person.
- Solution: According to Newton's third law, the wall exerts an equal and opposite force on the person. So, the magnitude of the force exerted by the wall on the person is also 100 N, but in the opposite direction to the person's push.
Problem: A rocket engine exerts a force of 5000 N downward. Calculate the magnitude and direction of the force exerted by the rocket on the engine.
- Solution: According to Newton's third law, the engine exerts an equal and opposite force on the rocket. So, the magnitude of the force exerted by the rocket on the engine is also 5000 N, but upward.
Problem: A person jumps off a boat. If the person exerts a downward force of 800 N on the boat, determine the magnitude and direction of the force exerted by the boat on the person.
- Solution: According to Newton's third law, the boat exerts an equal and opposite force on the person. So, the magnitude of the force exerted by the boat on the person is also 800 N, but upward.
Problem: Two billiard balls collide. If ball A exerts a force of 50 N on ball B, determine the magnitude and direction of the force exerted by ball B on ball A.
- Solution: According to Newton's third law, the force exerted by ball B on ball A is equal in magnitude (50 N) and opposite in direction to the force exerted by ball A on ball B.
Problem: A hammer strikes a nail with a force of 200 N. Determine the magnitude and direction of the force exerted by the nail on the hammer.
- Solution: According to Newton's third law, the force exerted by the nail on the hammer is equal in magnitude (200 N) and opposite in direction to the force exerted by the hammer on the nail.
Problem: A person sits on a chair. If the person exerts a downward force of 600 N on the chair, determine the magnitude and direction of the force exerted by the chair on the person.
- Solution: According to Newton's third law, the chair exerts an equal and opposite force on the person. So, the magnitude of the force exerted by the chair on the person is also 600 N, but upward.
Problem: A car crashes into a wall with a force of 3000 N. Determine the magnitude and direction of the force exerted by the wall on the car.
- Solution: According to Newton's third law, the wall exerts an equal and opposite force on the car. So, the magnitude of the force exerted by the wall on the car is also 3000 N, but in the opposite direction to the car's motion.
Problem: A soccer player kicks a ball with a force of 100 N. Determine the magnitude and direction of the force exerted by the ball on the player's foot.
- Solution: According to Newton's third law, the force exerted by the ball on the player's foot is equal in magnitude (100 N) and opposite in direction to the force exerted by the player's foot on the ball.
Problem: A person pulls a rope with a force of 80 N. Determine the magnitude and direction of the force exerted by the rope on the person.
- Solution: According to Newton's third law, the rope exerts an equal and opposite force on the person. So, the magnitude of the force exerted by the rope on the person is also 80 N, but in the opposite direction to the person's pull.
Problem: A bird flies upward by exerting a force of 60 N on the air with its wings. Determine the magnitude and direction of the force exerted by the air on the bird.
- Solution: According to Newton's third law, the force exerted by the air on the bird is equal in magnitude (60 N) and opposite in direction to the force exerted by the bird on the air.
These problems demonstrate the application of Newton's third law of motion in calculating the magnitude and direction of the reaction force in various scenarios.
No comments:
Post a Comment