(a)
Which would make the block swing higher, a 0.204 Ruger bullet of mass 2.14 g and muzzle speed 1290 m/s or a 7 mm Remington Magnum bullet of mass 9.71 g and muzzle speed 948 m/s? Assume the bullets enter the block right after leaving the muzzle of the rifle?
Answer to Problem 72QAP
Remington bullet will make the block swing higher.
Explanation of Solution
Given info:
Formula used:
Calculation:
By conservation of momentum,
By conservation of energy,
We know that
So, we have,
Comparing the height of 2 bullets,
Here the ratio is less than 1, so the Remington bullet will make the block swing higher.
Conclusion:
Remington bullet will make the block swing higher.
(b)
Using your answer in part (a), the mass of the block so that when hit by the bullet it will swing through a 60.0° angle? The block hangs from wire of length 1.25 m and negligible mass.
Answer to Problem 72QAP
Mass of block = 2.62 kg
Explanation of Solution
Given info:
Formula used:
Calculation:
From trigonometry the final height of block reached is,
By conservation of energy,
By conservation of momentum,
Conclusion:
Mass of block = 2.62 kg
(c)
What is the speed of an 8.41-g bullet that causes the block to swing upward through a 30.0° angle?
Answer to Problem 72QAP
Speed of an 8.41-g bullet = 566 m/s
Explanation of Solution
Given info:
Formula used:
Calculation:
From trigonometry the final height of block reached is,
By conservation of energy,
By conservation of momentum,
Conclusion:
Speed of an 8.41-g bullet = 566 m/s
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Chapter 7 Solutions
COLLEGE PHYSICS,VOLUME 1
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