An object of mass `2kg` is sliding with a constant velocity of `4ms^(-1)` on a frictionless horizontal table. The force required to keep the object moving with the same velocity is

Options

A. 32N
B. 0N
C. 2N
D. 8N

Explanation

To solve the problem, we need to determine the force required to keep an object of mass 2 kg moving with a constant velocity of 4 m/s on a frictionless horizontal table.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Mass of the object (m) = 2 kg
- Velocity of the object (v) = 4 m/s
- The table is frictionless.

2. **Understand the Concept of Constant Velocity:**
- When an object moves with a constant velocity, it means that its speed and direction are not changing. Therefore, the acceleration of the object is zero (a = 0).

3. **Apply Newton's First Law of Motion:**
- According to Newton's First Law, an object in motion will remain in motion at a constant velocity unless acted upon by an external force. Since the object is already moving and there are no external forces acting on it (due to the frictionless surface), it will continue to move at the same velocity.

4. **Calculate the Force Required:**
- The formula for force (F) is given by Newton's Second Law:
\[ F = m \cdot a \]
- Here, since the acceleration (a) is 0 (because the velocity is constant), we can substitute the values:
\[ F = 2 \, \text{kg} \cdot 0 \, \text{m/s}^2 = 0 \, \text{N} \]

5. **Conclusion:**
- The force required to keep the object moving with the same velocity is **0 Newtons**.

### Final Answer:
The force required to keep the object moving with the same velocity is **0 N**.

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