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A bullet of mass 10g travelling horizontally with a velocity of 150m/s strikes a stationary wooden block and comes to rest in 0.03 seconds calculate the distance of penetrate of the bullet into the block and also calculate the magnitude of the force?
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A bullet of mass 10g travelling horizontally with a velocity of 150m/s...



Calculations for Penetration Distance and Force:

Penetration Distance:
- Initial velocity of the bullet (u) = 150 m/s
- Final velocity of the bullet (v) = 0 m/s
- Time taken for the bullet to come to rest (t) = 0.03 s
Using the equation v = u + at, where a is the acceleration,
0 = 150 + a * 0.03
a = -5000 m/s^2 (negative sign indicates deceleration)
Now, using the equation s = ut + (1/2) * at^2 to find the penetration distance,
s = 150 * 0.03 + 0.5 * (-5000) * (0.03)^2
s = 4.275 m
Therefore, the penetration distance of the bullet into the block is 4.275 meters.

Magnitude of Force:
- Mass of the bullet (m) = 0.01 kg
- Deceleration of the bullet (a) = -5000 m/s^2
Using Newton's second law of motion, F = ma,
F = 0.01 * (-5000)
F = -50 N
Therefore, the magnitude of the force exerted by the bullet on the block is 50 Newtons.
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A bullet of mass 10g travelling horizontally with a velocity of 150m/s strikes a stationary wooden block and comes to rest in 0.03 seconds calculate the distance of penetrate of the bullet into the block and also calculate the magnitude of the force?
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A bullet of mass 10g travelling horizontally with a velocity of 150m/s strikes a stationary wooden block and comes to rest in 0.03 seconds calculate the distance of penetrate of the bullet into the block and also calculate the magnitude of the force? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A bullet of mass 10g travelling horizontally with a velocity of 150m/s strikes a stationary wooden block and comes to rest in 0.03 seconds calculate the distance of penetrate of the bullet into the block and also calculate the magnitude of the force? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet of mass 10g travelling horizontally with a velocity of 150m/s strikes a stationary wooden block and comes to rest in 0.03 seconds calculate the distance of penetrate of the bullet into the block and also calculate the magnitude of the force?.
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