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
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
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 \( y = 0 \).
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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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![**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.* \(\text{m/s}\)
---
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Click "Read It" for additional guidance.
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