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ale4655 [162]
3 years ago
9

A rifle with a longer barrel can fire bullets with a larger velocity than a rifle with a shorter barrel. Explain this using the

impulse-momentum theorem, then the work-energy theorem
Physics
1 answer:
shepuryov [24]3 years ago
8 0
The theory of impulse-momentum states that "t<span>he change in momentum of an object equals the impulse applied to it" meaning that the long barrel of the rifle covers a huge amount of motion of the bullet. The shot of the barrel is more accurate that way.

While work-energy theorem which states that "</span><span>the work done by all forces acting on a particle equals the change in the particle's kinetic energy" meaning that the discharge of the bullet caused by the barrel is slower but has more power than the one with the short barrel.</span>
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Answer:

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Explanation:

The work done by the force pushing the cart is equal to the kinetic energy gained by the cart:

W=K_f -K_i

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K_i is the initial kinetic energy of the cart, which is zero because the cart starts from rest, so we can write:

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W=Fd=(40.0 N)(12.0 m)=480 J

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We can find the mass because we know the weight of the cart, 98.0 N:

m=\frac{F_g}{g}=\frac{98.0 N}{9.8 m/s^2}=10 kg

Therefore, we can now re-arrange eq.(1) to find the final speed of the cart:

v=\sqrt{\frac{2K_f}{m}}=\sqrt{\frac{2(480 J)}{10 kg}}=9.8 m/s



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