**Problem Statement:** 3. A block with mass \( m = 5 \, \text{kg} \) is pushed with a force of \( F_1 = 30 \, \text{N} \). Please answer the following: A. Draw a body diagram (like I did in lecture) representing all forces acting on the block. B. If the coefficient of static friction is \( \mu_s = 0.5 \), does the block move? (Compare \( F_s \) with \( F_1 \)) C. The block starts moving, if the coefficient of static friction is \( \mu_k = 0.2 \), find \( F_k \). D. Find the acceleration. E. After \( t = 2 \, \text{s} \), how far did the block move? (The initial position \( X_i \) and initial velocity \( V_i \) are both zero) F. What is the velocity after \( t = 3 \, \text{s} \)? **Answers:** (Note: Specific answers to the questions were not provided in the image. You would typically compute them using the data given and physics equations related to forces and motion.) **Explanations:** - In part A, you'd draw forces such as gravitational force, normal force, applied force \( F_1 \), and friction force if any on the diagram. - For part B, compare the calculated maximum static friction \( F_s = \mu_s \times \text{normal force} \) with \( F_1 \) to see if the block moves. - Part C asks for the kinetic friction force \( F_k = \mu_k \times \text{normal force} \). - Part D involves Newton's second law calculation: \( F_{\text{net}} = m \times a \). - Part E and F use equations of motion to calculate displacement and final velocity respectively.

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**Problem Statement:**

3. A block with mass \( m = 5 \, \text{kg} \) is pushed with a force of \( F_1 = 30 \, \text{N} \). Please answer the following:

A. Draw a body diagram (like I did in lecture) representing all forces acting on the block.

B. If the coefficient of static friction is \( \mu_s = 0.5 \), does the block move? (Compare \( F_s \) with \( F_1 \))

C. The block starts moving, if the coefficient of static friction is \( \mu_k = 0.2 \), find \( F_k \).

D. Find the acceleration.

E. After \( t = 2 \, \text{s} \), how far did the block move? (The initial position \( X_i \) and initial velocity \( V_i \) are both zero)

F. What is the velocity after \( t = 3 \, \text{s} \)?

**Answers:**

(Note: Specific answers to the questions were not provided in the image. You would typically compute them using the data given and physics equations related to forces and motion.) 

**Explanations:**

- In part A, you'd draw forces such as gravitational force, normal force, applied force \( F_1 \), and friction force if any on the diagram.
- For part B, compare the calculated maximum static friction \( F_s = \mu_s \times \text{normal force} \) with \( F_1 \) to see if the block moves.
- Part C asks for the kinetic friction force \( F_k = \mu_k \times \text{normal force} \).
- Part D involves Newton's second law calculation: \( F_{\text{net}} = m \times a \).
- Part E and F use equations of motion to calculate displacement and final velocity respectively.
Transcribed Image Text:**Problem Statement:** 3. A block with mass \( m = 5 \, \text{kg} \) is pushed with a force of \( F_1 = 30 \, \text{N} \). Please answer the following: A. Draw a body diagram (like I did in lecture) representing all forces acting on the block. B. If the coefficient of static friction is \( \mu_s = 0.5 \), does the block move? (Compare \( F_s \) with \( F_1 \)) C. The block starts moving, if the coefficient of static friction is \( \mu_k = 0.2 \), find \( F_k \). D. Find the acceleration. E. After \( t = 2 \, \text{s} \), how far did the block move? (The initial position \( X_i \) and initial velocity \( V_i \) are both zero) F. What is the velocity after \( t = 3 \, \text{s} \)? **Answers:** (Note: Specific answers to the questions were not provided in the image. You would typically compute them using the data given and physics equations related to forces and motion.) **Explanations:** - In part A, you'd draw forces such as gravitational force, normal force, applied force \( F_1 \), and friction force if any on the diagram. - For part B, compare the calculated maximum static friction \( F_s = \mu_s \times \text{normal force} \) with \( F_1 \) to see if the block moves. - Part C asks for the kinetic friction force \( F_k = \mu_k \times \text{normal force} \). - Part D involves Newton's second law calculation: \( F_{\text{net}} = m \times a \). - Part E and F use equations of motion to calculate displacement and final velocity respectively.
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