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A body of larger mass has greater force ...

A body of larger mass has greater _______force acting on it

A

gravitational

B

static

C

sliding

D

rolling

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "A body of larger mass has greater _______ force acting on it," we need to analyze the forces mentioned in the options: gravitational force, static friction, sliding friction, and rolling friction. ### Step-by-Step Solution: 1. **Understanding the Forces**: - We need to identify which of the forces listed depends directly on the mass of the body. The options are gravitational force, static friction, sliding friction, and rolling friction. 2. **Gravitational Force**: - Gravitational force is defined as the force of attraction between two masses. The formula for gravitational force (weight) is given by: \[ F_g = m \cdot g \] where \( F_g \) is the gravitational force, \( m \) is the mass of the body, and \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \) on Earth). - From this formula, we can see that as the mass \( m \) increases, the gravitational force \( F_g \) also increases proportionally. 3. **Friction Forces**: - Static friction, sliding friction, and rolling friction are types of frictional forces that depend on the normal force (which is related to the weight of the object) and the nature of the surfaces in contact. - The normal force is influenced by the weight of the object, but the frictional forces themselves are not directly proportional to the mass of the object. Instead, they depend on the weight and the coefficient of friction. 4. **Conclusion**: - Since gravitational force is the only force that directly increases with the mass of the body, the correct answer to the question is: \[ \text{Gravitational force} \] ### Final Answer: A body of larger mass has greater **gravitational force** acting on it. ---
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