A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.2 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are us = 0.37 and Hk = 0.22. (a) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 8.0 N. N (b) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 10.0 N. (c) Determine the magnitude of the frictional force acting on the block if the magnitude of P is 12.0 N.

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A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force \( \vec{F} \) of magnitude 6.2 N and a vertical force \( \vec{P} \) are then applied to the block. The coefficients of friction for the block and surface are \( \mu_s = 0.37 \) and \( \mu_k = 0.22 \).

### Problem Statements:

(a) Determine the magnitude of the frictional force acting on the block if the magnitude of \( \vec{P} \) is 8.0 N.  
\(\_\_\_\_\_\_\) N

(b) Determine the magnitude of the frictional force acting on the block if the magnitude of \( \vec{P} \) is 10.0 N.  
\(\_\_\_\_\_\_\) N

(c) Determine the magnitude of the frictional force acting on the block if the magnitude of \( \vec{P} \) is 12.0 N.  
\(\_\_\_\_\_\_\) N

### Image Description:

The image depicts a diagram showing a block on a horizontal surface with two forces applied to it. The horizontal force \( \vec{F} \) is represented as an arrow pointing to the right, with a magnitude of 6.2 N. The vertical force \( \vec{P} \) is depicted as an arrow pointing upwards.
Transcribed Image Text:A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force \( \vec{F} \) of magnitude 6.2 N and a vertical force \( \vec{P} \) are then applied to the block. The coefficients of friction for the block and surface are \( \mu_s = 0.37 \) and \( \mu_k = 0.22 \). ### Problem Statements: (a) Determine the magnitude of the frictional force acting on the block if the magnitude of \( \vec{P} \) is 8.0 N. \(\_\_\_\_\_\_\) N (b) Determine the magnitude of the frictional force acting on the block if the magnitude of \( \vec{P} \) is 10.0 N. \(\_\_\_\_\_\_\) N (c) Determine the magnitude of the frictional force acting on the block if the magnitude of \( \vec{P} \) is 12.0 N. \(\_\_\_\_\_\_\) N ### Image Description: The image depicts a diagram showing a block on a horizontal surface with two forces applied to it. The horizontal force \( \vec{F} \) is represented as an arrow pointing to the right, with a magnitude of 6.2 N. The vertical force \( \vec{P} \) is depicted as an arrow pointing upwards.
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