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Unreasonable Results (a) Find the maximum range of a super

Chapter 3, Problem 50

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QUESTION:

Problem 50PE

Unreasonable Results (a) Find the maximum range of a super cannon that has a muzzle velocity of 4.0 km/s. (b) What is unreasonable about the range you found? (c) Is the premise unreasonable or is the available equation inapplicable? Explain your answer. (d) If such a muzzle velocity could be obtained, discuss the effects of air resistance, thinning air with altitude, and the curvature of the Earth on the range of the super cannon.

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QUESTION:

Problem 50PE

Unreasonable Results (a) Find the maximum range of a super cannon that has a muzzle velocity of 4.0 km/s. (b) What is unreasonable about the range you found? (c) Is the premise unreasonable or is the available equation inapplicable? Explain your answer. (d) If such a muzzle velocity could be obtained, discuss the effects of air resistance, thinning air with altitude, and the curvature of the Earth on the range of the super cannon.

ANSWER:

Part (a)

Step 1 of 8:

A super cannon is a weapon that can shoot its balls with very high muzzle velocity. The trajectory of the ball shot is a parabola. We can consider the ball as a projectile. We are going to find the maximum horizontal distance traveled by the cannonball.

The muzzle velocity of the cannon ball  or

The acceleration due to gravity

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