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A force of 50 N moves a body. Then,...

A force of 50 N moves a body. Then,

A

frictional force exerted on the body is less than 50 N.

B

Frictional force exerted on the body is more than 50 N.

C

both (a) and (b).

D

none of these.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the scenario where a force of 50 N is applied to a body that is initially at rest. Let's break down the solution step by step. ### Step-by-Step Solution: 1. **Understanding the Situation**: - A force of 50 N is applied to a body on a horizontal rough surface. - The body was initially at rest and is now in motion due to the applied force. **Hint**: Identify the forces acting on the body and their directions. 2. **Identifying Forces**: - The applied force (F_applied) is 50 N to the right. - There is a frictional force (F_friction) acting in the opposite direction (to the left) due to the rough surface. **Hint**: Remember that friction opposes the motion of the body. 3. **Applying Newton's Second Law**: - According to Newton's second law, the net external force (F_net) acting on the body is equal to the mass (m) of the body multiplied by its acceleration (a). - The equation can be written as: \[ F_{net} = F_{applied} - F_{friction} = m \cdot a \] **Hint**: Think about how the net force relates to the acceleration of the body. 4. **Determining the Relationship Between Forces**: - Since the body is accelerating to the right, the net force must be greater than zero. This means: \[ F_{applied} > F_{friction} \] - Given that \( F_{applied} = 50 \, N \), we can conclude: \[ 50 \, N > F_{friction} \] **Hint**: The body is moving, which implies that the applied force must overcome the frictional force. 5. **Conclusion**: - From the analysis, we can conclude that the frictional force exerted by the body is less than 50 N. - Therefore, the correct answer is that the frictional force exerted by the body is less than 50 N. **Hint**: Review the options provided in the question to select the correct one based on your conclusion. ### Final Answer: The frictional force exerted by the body is less than 50 N.

To solve the question, we need to analyze the scenario where a force of 50 N is applied to a body that is initially at rest. Let's break down the solution step by step. ### Step-by-Step Solution: 1. **Understanding the Situation**: - A force of 50 N is applied to a body on a horizontal rough surface. - The body was initially at rest and is now in motion due to the applied force. ...
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