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The 68-kg crate is stationary when the force \( P \) is applied. Determine the resulting acceleration of the crate if:

(a) \( P = 0 \)
(b) \( P = 181 \, \text{N} \)
(c) \( P = 352 \, \text{N} \)

Note: The acceleration is positive if it is up the slope and negative if it is down the slope.

Answer :

Explanation:

Mass of the crate, m = 68 kg

We need to find the resulting acceleration if :

(a) Force, P = 0

P = m a

⇒ a = 0

(b) P = 181 N

[tex]a=\dfrac{P}{m}[/tex]

[tex]a=\dfrac{181\ N}{68\ kg}[/tex]

[tex]a=2.67\ m/s^2[/tex]

(c) P = 352 N

[tex]a=\dfrac{P}{m}[/tex]

[tex]a=\dfrac{352\ N}{68\ kg}[/tex]

[tex]a=5.17\ m/s^2[/tex]

Hence, this is the required solution.

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