20. A box moves up a slope while being pushed in the direction shown. If there is friction between the box and slope, which of the following is correct? f Push T TO Conserve Energy for box moves up so AU= pos Wext - W push for box & Earth = Push A) The box gets faster as it moves up the slope. B) The box gets slower as it moves up the slope. C) None of the other choices must be correct. D) The box moves at constant speed. E) The box gets faster but not by as much as if there was no friction. F ۰۱۴ TAřl cos Push pos. Михо → Дени - fularl = pos.
20. A box moves up a slope while being pushed in the direction shown. If there is friction between the box and slope, which of the following is correct? f Push T TO Conserve Energy for box moves up so AU= pos Wext - W push for box & Earth = Push A) The box gets faster as it moves up the slope. B) The box gets slower as it moves up the slope. C) None of the other choices must be correct. D) The box moves at constant speed. E) The box gets faster but not by as much as if there was no friction. F ۰۱۴ TAřl cos Push pos. Михо → Дени - fularl = pos.
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![## Problem Statement
**20.** A box moves up a slope while being pushed in the direction shown. If there is friction between the box and slope, which of the following is correct?
Diagram: A box labeled as "Push" is on a slope inclined at an angle \( \theta \).
### Options:
- **A)** The box gets faster as it moves up the slope.
- **B)** The box gets slower as it moves up the slope.
- **C)** **None of the other choices must be correct.** *(This option is highlighted and emphasized in red.)*
- **D)** The box moves at constant speed.
- **E)** The box gets faster but not by as much as if there was no friction.
### Explanation:
- **Conserve Energy** for box & Earth. The box moves up, so \( \Delta U = \text{positive} \).
- **External Work** (\( W_{\text{ext}} \)):
\[
W_{\text{push}} = \vec{F}_{\text{push}} \cdot \Delta \vec{r} = F_{\text{push}} |\Delta \vec{r}| \cos \theta = \text{positive}
\]
- If there is kinetic friction (\( \mu_k \neq 0 \)), then there is a change in thermal energy:
\[
\Delta E_{\text{th}} = f_k |\Delta \vec{r}| = \text{positive}
\]
### Summary
Option **C** is the correct choice due to consideration of energy conservation and the positive work and friction effects as the box moves up the slope.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bb54c50-d653-47f8-8cfc-545a4ed262e0%2Fafdf1123-1484-49ea-a2b0-a7e23fedd691%2Fln96acj_processed.png&w=3840&q=75)
Transcribed Image Text:## Problem Statement
**20.** A box moves up a slope while being pushed in the direction shown. If there is friction between the box and slope, which of the following is correct?
Diagram: A box labeled as "Push" is on a slope inclined at an angle \( \theta \).
### Options:
- **A)** The box gets faster as it moves up the slope.
- **B)** The box gets slower as it moves up the slope.
- **C)** **None of the other choices must be correct.** *(This option is highlighted and emphasized in red.)*
- **D)** The box moves at constant speed.
- **E)** The box gets faster but not by as much as if there was no friction.
### Explanation:
- **Conserve Energy** for box & Earth. The box moves up, so \( \Delta U = \text{positive} \).
- **External Work** (\( W_{\text{ext}} \)):
\[
W_{\text{push}} = \vec{F}_{\text{push}} \cdot \Delta \vec{r} = F_{\text{push}} |\Delta \vec{r}| \cos \theta = \text{positive}
\]
- If there is kinetic friction (\( \mu_k \neq 0 \)), then there is a change in thermal energy:
\[
\Delta E_{\text{th}} = f_k |\Delta \vec{r}| = \text{positive}
\]
### Summary
Option **C** is the correct choice due to consideration of energy conservation and the positive work and friction effects as the box moves up the slope.
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