You push a file cabinet up a frictionless ramp tilted at 10°with horizontal. The file cabinet has a mass of 100 kg and you are pushing with a 700 N force in the direction up along the ramp. The file cabinet has initial speed of 2.0 m/s. It's moved 8.0 m up along the ramp. Match the answers with questions. 10.0 Question the initial kinetic energy of the cabinet (K;) the final kinetic energy of the cabinet (Kf) the change in kinetic energy of the cabinet (AK) All Answer Choices A. -200 J B. -4011 J C.OJ D. 4011 J E. 4211 J F. 4411 J G. -4411 J H.-4211 J 200 J

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Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:**

You push a file cabinet up a frictionless ramp tilted at \(10^\circ\) with the horizontal. The file cabinet has a mass of 100 kg and you are pushing with a 700 N force in the direction up along the ramp. The file cabinet has an initial speed of 2.0 m/s. It is moved 8.0 m up along the ramp. Match the answers with the questions.

**Illustration:**

There is a diagram showing a ramp inclined at \(10^\circ\) with a person pushing a file cabinet up the ramp.

**Questions:**

1. The initial kinetic energy of the cabinet (\(K_i\))
2. The final kinetic energy of the cabinet (\(K_f\))
3. The change in kinetic energy of the cabinet (\(\Delta K\))

**Answer Choices:**

A. -200 J  
B. -4011 J  
C. 0 J  
D. 4011 J  
E. 4211 J  
F. 4411 J  
G. -4411 J  
H. -4211 J  
I. 200 J
Transcribed Image Text:**Problem Description:** You push a file cabinet up a frictionless ramp tilted at \(10^\circ\) with the horizontal. The file cabinet has a mass of 100 kg and you are pushing with a 700 N force in the direction up along the ramp. The file cabinet has an initial speed of 2.0 m/s. It is moved 8.0 m up along the ramp. Match the answers with the questions. **Illustration:** There is a diagram showing a ramp inclined at \(10^\circ\) with a person pushing a file cabinet up the ramp. **Questions:** 1. The initial kinetic energy of the cabinet (\(K_i\)) 2. The final kinetic energy of the cabinet (\(K_f\)) 3. The change in kinetic energy of the cabinet (\(\Delta K\)) **Answer Choices:** A. -200 J B. -4011 J C. 0 J D. 4011 J E. 4211 J F. 4411 J G. -4411 J H. -4211 J I. 200 J
**Text Transcription for Educational Website:**

---

**Physics Problem: Comparing Kinetic Energy**

**Problem Statement:**
How fast would a 30-kg kid need to run in order to have the same kinetic energy as an 8.0-g bullet fired at 400 m/s, in m/s?

**Instructions:**
Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. 

---

This serves as an example of how kinetic energy depends on both mass and velocity. Use the kinetic energy formula \( KE = \frac{1}{2}mv^2 \) and ensure unit conversions where necessary.
Transcribed Image Text:**Text Transcription for Educational Website:** --- **Physics Problem: Comparing Kinetic Energy** **Problem Statement:** How fast would a 30-kg kid need to run in order to have the same kinetic energy as an 8.0-g bullet fired at 400 m/s, in m/s? **Instructions:** Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. --- This serves as an example of how kinetic energy depends on both mass and velocity. Use the kinetic energy formula \( KE = \frac{1}{2}mv^2 \) and ensure unit conversions where necessary.
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