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The horizontal component of the weight o...

The horizontal component of the weight of a body of mass m is

A

mg

B

`(mg)/2`

C

Zero

D

infinity

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the horizontal component of the weight of a body of mass \( m \), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Weight**: The weight \( W \) of a body is defined as the force acting on it due to gravity. It can be calculated using the formula: \[ W = mg \] where \( m \) is the mass of the body and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) near the surface of the Earth). 2. **Direction of Weight**: The weight acts vertically downward towards the center of the Earth. This means that the weight is a vertical force and does not have any component in the horizontal direction. 3. **Components of Weight**: Any force can be resolved into its components. In this case, the weight can be resolved into two components: horizontal and vertical. However, since weight acts only in the vertical direction, the horizontal component is: \[ W_{\text{horizontal}} = 0 \] 4. **Conclusion**: Therefore, the horizontal component of the weight of a body of mass \( m \) is zero. ### Final Answer: The horizontal component of the weight of a body of mass \( m \) is \( 0 \). ---
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