A 44.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 144 m/s from the top of a cliff 152 m above level ground, where the ground is taken to be y 0. (a) What is the initial total mechanical energy of the projectile? (Give your answer to at least three significant figures.) 5.217e+05 (b) Suppose the projectile is traveling 102.1 m/s at its maximum height of y = 368 m. How much work has been done on the projectile by air friction? -1.33e+05 (c) What is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile when it is going down as it did when it was going up? 90.1

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**Projectile Motion Problem:**

A 44.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 144 m/s from the top of a cliff 152 m above level ground, where the ground is considered to be \( y = 0 \).

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**(a)** *What is the initial total mechanical energy of the projectile?*
- (Provide your answer to at least three significant figures.)

Calculated Answer: \( 5.217 \times 10^5 \, \text{J} \) ✓

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**(b)** *Suppose the projectile is traveling 102.1 m/s at its maximum height of \( y = 368 \, \text{m} \). How much work has been done on the projectile by air friction?*

Calculated Answer: \( -1.33 \times 10^5 \, \text{J} \) ✓

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**(c)** *What is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile when it is going down as it did when it was going up?*

Initial Calculated Answer: \( 90.1 \, \text{m/s} \) ✗

- *Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.* \(\text{m/s}\)

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Transcribed Image Text:**Projectile Motion Problem:** A 44.0-kg projectile is fired at an angle of 30.0° above the horizontal with an initial speed of 144 m/s from the top of a cliff 152 m above level ground, where the ground is considered to be \( y = 0 \). --- **(a)** *What is the initial total mechanical energy of the projectile?* - (Provide your answer to at least three significant figures.) Calculated Answer: \( 5.217 \times 10^5 \, \text{J} \) ✓ --- **(b)** *Suppose the projectile is traveling 102.1 m/s at its maximum height of \( y = 368 \, \text{m} \). How much work has been done on the projectile by air friction?* Calculated Answer: \( -1.33 \times 10^5 \, \text{J} \) ✓ --- **(c)** *What is the speed of the projectile immediately before it hits the ground if air friction does one and a half times as much work on the projectile when it is going down as it did when it was going up?* Initial Calculated Answer: \( 90.1 \, \text{m/s} \) ✗ - *Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.* \(\text{m/s}\) --- **Need Help?** Click "Read It" for additional guidance. [Submit Answer]
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