A pendulum with a bob of 0.1kg is suspended from the roof of a car which is moving with an acceleration of `5 m//s^(2)` relative to the ground towards right . An observer travelling in the car experiences a pseudo force acting on the bob equal to `:`

Options

A. 1.0 N downwards
B. 1.0 N upwards
C. 0.5 N towards right
D. 0.5 N towards left

Answer

To solve the problem, we need to determine the pseudo force acting on the pendulum bob due to the acceleration of the car. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Concept of Pseudo Force
When an observer is in a non-inertial frame of reference (like a car that is accelerating), they experience a pseudo force acting in the opposite direction of the acceleration of the frame.

**Hint:** Remember that the pseudo force is always opposite to the direction of acceleration of the non-inertial frame.

### Step 2: Identify the Given Values
- Mass of the pendulum bob (m) = 0.1 kg
- Acceleration of the car (a) = 5 m/s² (towards the right)

**Hint:** Make sure to note the direction of the acceleration, as it will affect the direction of the pseudo force.

### Step 3: Calculate the Pseudo Force
The formula for calculating the pseudo force (F) is given by:
\[ F = m \cdot a \]
Substituting the values:
\[ F = 0.1 \, \text{kg} \cdot 5 \, \text{m/s}^2 \]

**Hint:** Plug in the values carefully to avoid calculation errors.

### Step 4: Perform the Calculation
Calculating the above expression:
\[ F = 0.5 \, \text{N} \]

**Hint:** Ensure that you keep track of the units throughout the calculation.

### Step 5: Determine the Direction of the Pseudo Force
Since the car is accelerating towards the right, the pseudo force will act towards the left. Therefore, the pendulum bob experiences a pseudo force of 0.5 N towards the left.

**Hint:** Always remember that the direction of the pseudo force is opposite to the direction of acceleration of the frame.

### Final Answer
The pseudo force acting on the bob is **0.5 N towards the left**.

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