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A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?
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A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail sto...
- **Calculating the Force of the Nail on the Hammer**
**Given Data:**
- Mass of the hammer (m) = 500 g = 0.5 kg
- Initial velocity of the hammer (u) = 50 m/s
- Final velocity of the hammer (v) = 0 m/s (as it comes to a stop)
- Time taken for the hammer to come to a stop (t) = 0.01 s
**Calculating the Change in Momentum:**
- The change in momentum of the hammer can be calculated using the formula:
- Change in momentum = final momentum - initial momentum
- Change in momentum = mass * final velocity - mass * initial velocity
- Change in momentum = 0.5 * 0 - 0.5 * 50
- Change in momentum = -25 kg m/s
**Calculating the Force:**
- The force exerted by the nail on the hammer can be calculated using the formula:
- Force = Change in momentum / time taken
- Force = -25 / 0.01
- Force = -2500 N
**Interpreting the Result:**
- The negative sign indicates that the force is acting in the opposite direction to the motion of the hammer, which is the force exerted by the nail to stop the hammer.
- The magnitude of the force is 2500 N, which represents the force of the nail on the hammer required to bring it to a stop in a very short time period of 0.01 s.
**Given Data:**
- Mass of the hammer (m) = 500 g = 0.5 kg
- Initial velocity of the hammer (u) = 50 m/s
- Final velocity of the hammer (v) = 0 m/s (as it comes to a stop)
- Time taken for the hammer to come to a stop (t) = 0.01 s
**Calculating the Change in Momentum:**
- The change in momentum of the hammer can be calculated using the formula:
- Change in momentum = final momentum - initial momentum
- Change in momentum = mass * final velocity - mass * initial velocity
- Change in momentum = 0.5 * 0 - 0.5 * 50
- Change in momentum = -25 kg m/s
**Calculating the Force:**
- The force exerted by the nail on the hammer can be calculated using the formula:
- Force = Change in momentum / time taken
- Force = -25 / 0.01
- Force = -2500 N
**Interpreting the Result:**
- The negative sign indicates that the force is acting in the opposite direction to the motion of the hammer, which is the force exerted by the nail to stop the hammer.
- The magnitude of the force is 2500 N, which represents the force of the nail on the hammer required to bring it to a stop in a very short time period of 0.01 s.
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A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?
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A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?.
A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A hammer of mass 500 g, moving at 50 m/s, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?.
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