Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = -8.4 N and the mass of the block is 3.5 kg. (a) What is the magnitudeand direction of Q (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) (b) What is the magnitude and direction of Q (in N) when the acceleration of the block is +5.8 m/s. (Indicate the direction with the sign of your answer.) N (c) Find the magnitude and direction of Q (in N) when the acceleration of the block is -5.8 m/s. (Indicate the direction with the sign of your answer.)

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**Forces on a Block on a Table**

**Scenario Description:**
Two horizontal forces, \( \vec{P} \) and \( \vec{Q} \), are acting on a block placed on a table. The force \( \vec{P} \) is directed to the left, but the direction of \( \vec{Q} \) is unknown; it could either be directed to the right or to the left. The object moves along the x-axis, and it is assumed there is no friction between the object and the table. The force \( P = -8.4 \, \text{N} \) and the mass of the block is \( 3.5 \, \text{kg} \).

**Questions:**

(a) What is the magnitude and direction of \( \vec{Q} \) (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.)

\[ \text{Input Answer: } \_\_\_ \, \text{N} \]

(b) What is the magnitude and direction of \( \vec{Q} \) (in N) when the acceleration of the block is \( +5.8 \, \text{m/s}^2 \)? (Indicate the direction with the sign of your answer.)

\[ \text{Input Answer: } \_\_\_ \, \text{N} \]

(c) Find the magnitude and direction of \( \vec{Q} \) (in N) when the acceleration of the block is \( -5.8 \, \text{m/s}^2 \). (Indicate the direction with the sign of your answer.)

\[ \text{Input Answer: } \_\_\_ \, \text{N} \]

**Diagram Explanation:**
The diagram shows a block with force \( \vec{P} \) acting on it to the left. The direction of \( \vec{Q} \) is not shown, indicating it needs to be determined.

---

This explanation aims to help students understand the effects of forces on objects in motion, specifically focusing on determining unknown forces given conditions of velocity or acceleration.
Transcribed Image Text:**Forces on a Block on a Table** **Scenario Description:** Two horizontal forces, \( \vec{P} \) and \( \vec{Q} \), are acting on a block placed on a table. The force \( \vec{P} \) is directed to the left, but the direction of \( \vec{Q} \) is unknown; it could either be directed to the right or to the left. The object moves along the x-axis, and it is assumed there is no friction between the object and the table. The force \( P = -8.4 \, \text{N} \) and the mass of the block is \( 3.5 \, \text{kg} \). **Questions:** (a) What is the magnitude and direction of \( \vec{Q} \) (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) \[ \text{Input Answer: } \_\_\_ \, \text{N} \] (b) What is the magnitude and direction of \( \vec{Q} \) (in N) when the acceleration of the block is \( +5.8 \, \text{m/s}^2 \)? (Indicate the direction with the sign of your answer.) \[ \text{Input Answer: } \_\_\_ \, \text{N} \] (c) Find the magnitude and direction of \( \vec{Q} \) (in N) when the acceleration of the block is \( -5.8 \, \text{m/s}^2 \). (Indicate the direction with the sign of your answer.) \[ \text{Input Answer: } \_\_\_ \, \text{N} \] **Diagram Explanation:** The diagram shows a block with force \( \vec{P} \) acting on it to the left. The direction of \( \vec{Q} \) is not shown, indicating it needs to be determined. --- This explanation aims to help students understand the effects of forces on objects in motion, specifically focusing on determining unknown forces given conditions of velocity or acceleration.
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