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. 0 N
C. 2N
D. 8N

Explanation

To solve the problem, we need to understand the concepts of motion and forces acting on an object. Here’s a step-by-step solution:

### Step 1: Identify the given information
- Mass of the object (m) = 2 kg
- Velocity of the object (v) = 4 m/s
- The surface is frictionless.

### Step 2: Understand the motion
The object is sliding on a frictionless table with a constant velocity. When an object moves with a constant velocity, it means that there is no change in its speed or direction.

### Step 3: Apply Newton's First Law of Motion
According to Newton's First Law of Motion, an object will remain at rest or move in a straight line at constant speed unless acted upon by a net external force. Since the object is moving with constant velocity, the net external force acting on it must be zero.

### Step 4: Calculate the required force
Using the formula for force:
\[ F = m \cdot a \]
where:
- \( F \) is the force,
- \( m \) is the mass,
- \( a \) is the acceleration.

Since the object is moving with constant velocity, the acceleration (a) is 0:
\[ a = 0 \]

Substituting the values into the force equation:
\[ F = 2 \, \text{kg} \cdot 0 \, \text{m/s}^2 = 0 \, \text{N} \]

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

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