A body is moving with a velocity `5m//s` along a striaght line.A force of 10N is applied to the body perpendicular to the line of motion. If the body is of mass 2kg, then the acceleration of the body along the initial straight line of motion is `:`

Options

A. `5 m//s^(2)`
B. 0
C. `10 m//s^(2)`
D. none of these

Answer

To solve the problem step-by-step, we can follow these steps:

### Step 1: Identify the given information
- Initial velocity of the body, \( v = 5 \, \text{m/s} \)
- Force applied, \( F = 10 \, \text{N} \)
- Mass of the body, \( m = 2 \, \text{kg} \)

### Step 2: Determine the direction of the force
The force is applied perpendicular to the direction of motion. If the body is moving along the x-axis, the force will act along the y-axis.

### Step 3: Calculate the acceleration due to the applied force
Using Newton's second law, the acceleration \( a \) can be calculated using the formula:
\[ F = m \cdot a \]
Rearranging this gives:
\[ a = \frac{F}{m} \]
Substituting the values:
\[ a = \frac{10 \, \text{N}}{2 \, \text{kg}} = 5 \, \text{m/s}^2 \]

### Step 4: Analyze the acceleration along the direction of motion
Since the force is applied perpendicular to the direction of motion (x-axis), it does not affect the acceleration along the x-axis. Therefore, the acceleration of the body along the initial straight line of motion (x-axis) is:
\[ a_x = 0 \, \text{m/s}^2 \]

### Step 5: Conclusion
The acceleration of the body along the initial straight line of motion is \( 0 \, \text{m/s}^2 \).

### Final Answer
The acceleration of the body along the initial straight line of motion is \( 0 \, \text{m/s}^2 \).

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