Frictional force is greater for a body of _____ mass as compared to a body of lesser mass

Options

A. smaller
B. larger
C. no
D. equal

Answer

To solve the question, "Frictional force is greater for a body of _____ mass as compared to a body of lesser mass," we need to understand the relationship between mass, normal force, and frictional force.

### Step-by-Step Solution:

1. **Understanding Friction**:
Friction is a force that opposes the relative motion of two surfaces in contact. It depends on two main factors: the nature of the surfaces in contact and the normal force acting on the object.

2. **Normal Force**:
The normal force is the perpendicular force exerted by a surface to support the weight of an object resting on it. For an object resting on a horizontal surface, the normal force (N) is equal to the weight of the object (W), which can be calculated using the formula:
\[ W = mg \]
where \(m\) is the mass of the object and \(g\) is the acceleration due to gravity.

3. **Frictional Force Formula**:
The frictional force (F_f) can be expressed as:
\[ F_f = \mu N \]
where \(\mu\) is the coefficient of friction between the surfaces, and \(N\) is the normal force.

4. **Relationship Between Mass and Normal Force**:
From the equation for normal force, we see that if the mass of the object increases, the normal force also increases. Therefore, for a heavier object (greater mass), the normal force is larger.

5. **Effect on Frictional Force**:
Since the frictional force is directly proportional to the normal force, an increase in the normal force (due to greater mass) results in an increase in the frictional force.

6. **Conclusion**:
Therefore, we conclude that frictional force is greater for a body of **greater mass** as compared to a body of lesser mass.

### Final Answer:
Frictional force is greater for a body of **greater mass** as compared to a body of lesser mass.