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A force of 20N is applied on an object. The object remains stationary. What is the magnitude of static friction?

A

0N

B

10N

C

20N

D

40N

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the magnitude of static friction acting on the object when a force of 20 N is applied, and the object remains stationary. ### Step-by-Step Solution: 1. **Understand the Situation**: - A force of 20 N is applied to an object. - The object does not move, meaning it is stationary. 2. **Identify the Forces**: - The applied force (F_applied) is 20 N in one direction. - There is a force of static friction (F_friction) acting in the opposite direction to keep the object stationary. 3. **Apply Newton's First Law**: - According to Newton's First Law, if an object is at rest, the net force acting on it must be zero (F_net = 0). 4. **Set Up the Equation**: - Since the object is stationary, we can express the net force as: \[ F_{net} = F_{applied} + F_{friction} = 0 \] - Plugging in the values, we have: \[ 20 N + F_{friction} = 0 \] 5. **Solve for Static Friction**: - Rearranging the equation gives: \[ F_{friction} = -20 N \] - The negative sign indicates that the direction of the static friction force is opposite to that of the applied force. 6. **Determine the Magnitude**: - The magnitude of static friction is the absolute value of the force: \[ |F_{friction}| = 20 N \] 7. **Conclusion**: - The magnitude of static friction acting on the object is 20 N. ### Final Answer: The magnitude of static friction is **20 N**. ---
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PEARSON IIT JEE FOUNDATION-FRICTION-Competition Corner
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