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A bullet of mass 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet?
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A bullet of mass 20g moving with a velocity 20m/s enters a wooden bloc...
Introduction
To calculate the average resistance force exerted by the bullet as it penetrates the wooden block, we can use the concepts of momentum and work-energy principle.
Given Data
- Mass of the bullet (m) = 20 g = 0.02 kg
- Initial velocity of the bullet (u) = 20 m/s
- Distance penetrated in the block (d) = 10 cm = 0.1 m
Calculating Initial Momentum
- Initial momentum (p) = m × u
- p = 0.02 kg × 20 m/s = 0.4 kg·m/s
Final Momentum
- When the bullet comes to a stop inside the wooden block, its final momentum is 0 kg·m/s.
Change in Momentum
- Change in momentum = Final momentum - Initial momentum
- Change in momentum = 0 - 0.4 = -0.4 kg·m/s
Calculating Average Resistance Force
Using the work-energy principle, the work done by the resistance force (F) is equal to the change in kinetic energy.
- Work done (W) = F × d
- Change in kinetic energy (ΔKE) = 0 - (1/2) × m × u²
- ΔKE = 0 - (1/2) × 0.02 kg × (20 m/s)²
- ΔKE = -4 J
Setting work done equal to the change in kinetic energy:
- F × 0.1 m = -4 J
- F = -4 J / 0.1 m = -40 N
Conclusion
The average resistance force exerted by the bullet as it penetrates the wooden block is 40 N in the opposite direction to the bullet's motion.
To calculate the average resistance force exerted by the bullet as it penetrates the wooden block, we can use the concepts of momentum and work-energy principle.
Given Data
- Mass of the bullet (m) = 20 g = 0.02 kg
- Initial velocity of the bullet (u) = 20 m/s
- Distance penetrated in the block (d) = 10 cm = 0.1 m
Calculating Initial Momentum
- Initial momentum (p) = m × u
- p = 0.02 kg × 20 m/s = 0.4 kg·m/s
Final Momentum
- When the bullet comes to a stop inside the wooden block, its final momentum is 0 kg·m/s.
Change in Momentum
- Change in momentum = Final momentum - Initial momentum
- Change in momentum = 0 - 0.4 = -0.4 kg·m/s
Calculating Average Resistance Force
Using the work-energy principle, the work done by the resistance force (F) is equal to the change in kinetic energy.
- Work done (W) = F × d
- Change in kinetic energy (ΔKE) = 0 - (1/2) × m × u²
- ΔKE = 0 - (1/2) × 0.02 kg × (20 m/s)²
- ΔKE = -4 J
Setting work done equal to the change in kinetic energy:
- F × 0.1 m = -4 J
- F = -4 J / 0.1 m = -40 N
Conclusion
The average resistance force exerted by the bullet as it penetrates the wooden block is 40 N in the opposite direction to the bullet's motion.
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A bullet of mass 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet?
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A bullet of mass 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet? 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 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet of mass 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet?.
A bullet of mass 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet? 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 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bullet of mass 20g moving with a velocity 20m/s enters a wooden block after a distance 10cm. what is average resistance force exerted by the bullet?.
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