QUESTION 6 A crate is sliding on a level surface with coefficient of kinetic friction, uk, while it is being pulled by a horizontal tension T. What is the acceleration of the crate? Hk T m а. a = T- Hkmg Ob. T-Hkm a = mg

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## Question 6

A crate is sliding on a level surface with a coefficient of kinetic friction, \( \mu_k \), while it is being pulled by a horizontal tension \( T \). What is the acceleration of the crate?

**Diagram Explanation:**

The diagram shows a crate with mass \( m \) on a flat surface. There is a horizontal arrow labeled \( T \) indicating the tension pulling the crate to the right. An arrow labeled \( \mu_k \) points leftwards at the crate, representing the direction of kinetic friction opposing the motion.

**Options:**

- **a.** \( a = T - \mu_k mg \)
  
- **b.** \( a = \frac{T - \mu_k m}{mg} \)
Transcribed Image Text:## Question 6 A crate is sliding on a level surface with a coefficient of kinetic friction, \( \mu_k \), while it is being pulled by a horizontal tension \( T \). What is the acceleration of the crate? **Diagram Explanation:** The diagram shows a crate with mass \( m \) on a flat surface. There is a horizontal arrow labeled \( T \) indicating the tension pulling the crate to the right. An arrow labeled \( \mu_k \) points leftwards at the crate, representing the direction of kinetic friction opposing the motion. **Options:** - **a.** \( a = T - \mu_k mg \) - **b.** \( a = \frac{T - \mu_k m}{mg} \)
The image presents a multiple-choice question related to physics, specifically focusing on the calculation of acceleration. The expressions provided are different equations for acceleration dependent on parameters such as tension, mass, gravitational acceleration, and kinetic friction.

The choices are labeled from c to e:

- **Choice c:**
  \[
  a = \frac{T + \mu_k mg}{m}
  \]

- **Choice d:**
  \[
  a = \frac{T - \mu_k mg}{m}
  \]

- **Choice e:**
  \[
  a = \frac{T}{m} - \mu_k g
  \]

Where:
- \( a \) is acceleration.
- \( T \) is tension.
- \( m \) is mass.
- \( \mu_k \) is the coefficient of kinetic friction.
- \( g \) is the acceleration due to gravity.

Each equation provides a different approach to calculating the resultant acceleration of an object considering the forces acting upon it, such as tension and friction.
Transcribed Image Text:The image presents a multiple-choice question related to physics, specifically focusing on the calculation of acceleration. The expressions provided are different equations for acceleration dependent on parameters such as tension, mass, gravitational acceleration, and kinetic friction. The choices are labeled from c to e: - **Choice c:** \[ a = \frac{T + \mu_k mg}{m} \] - **Choice d:** \[ a = \frac{T - \mu_k mg}{m} \] - **Choice e:** \[ a = \frac{T}{m} - \mu_k g \] Where: - \( a \) is acceleration. - \( T \) is tension. - \( m \) is mass. - \( \mu_k \) is the coefficient of kinetic friction. - \( g \) is the acceleration due to gravity. Each equation provides a different approach to calculating the resultant acceleration of an object considering the forces acting upon it, such as tension and friction.
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