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When the force applied and the displacem...

When the force applied and the displacement of the body are inclined at `90^(@)` with each other, the work done is

A

infinite

B

maximum

C

zero

D

unity

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The correct Answer is:
To solve the question regarding the work done when the force applied and the displacement of the body are inclined at 90 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Work Done**: The work done (W) by a force is defined as the dot product of the force (F) and the displacement (S). Mathematically, this is expressed as: \[ W = F \cdot S = F S \cos \theta \] where \( \theta \) is the angle between the force and the displacement. 2. **Identify the Given Information**: In this case, we are given that the angle \( \theta \) between the force and the displacement is \( 90^\circ \). 3. **Substitute the Angle into the Formula**: Since \( \theta = 90^\circ \), we can substitute this value into the work done formula: \[ W = F S \cos(90^\circ) \] 4. **Evaluate the Cosine of 90 Degrees**: We know from trigonometry that: \[ \cos(90^\circ) = 0 \] 5. **Calculate the Work Done**: Substituting the value of \( \cos(90^\circ) \) into the equation gives: \[ W = F S \cdot 0 = 0 \] 6. **Conclusion**: Therefore, when the force applied and the displacement of the body are inclined at \( 90^\circ \) with each other, the work done is: \[ W = 0 \]

To solve the question regarding the work done when the force applied and the displacement of the body are inclined at 90 degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Work Done**: The work done (W) by a force is defined as the dot product of the force (F) and the displacement (S). Mathematically, this is expressed as: \[ W = F \cdot S = F S \cos \theta ...
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(a) What happens to the work done when the displacement of a body is at right angles to the direction of force acting on it ? Explain your answer. (b) A force of 50 N acts on a body and moves it a distance of 4 m on a horizontal surface. Calculate the work done if the direction of force is at an angle of 60^(@) to the horizontal surface.

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