An impulse is supplied to a moving object with the force at an angle of `120^(@)` with respect to velocity vector. The angle between the impulse vector and the change in momentum vector is

Options

A. `120^(@)`
B. `0^(@)`
C. `60^(@)`
D. `240^(@)`

Explanation

To solve the problem, we need to analyze the relationship between impulse, momentum, and the angles involved. Here’s a step-by-step breakdown:

### Step 1: Understand the Definitions
Impulse (J) is defined as the change in momentum (Δp) of an object. Mathematically, this can be expressed as:
\[ J = \Delta p \]
Where:
- \( J \) is the impulse vector.
- \( \Delta p \) is the change in momentum vector.

### Step 2: Analyze the Given Information
We are given that an impulse is supplied to a moving object with a force at an angle of \( 120^\circ \) with respect to the velocity vector. This means that the impulse vector (which is in the direction of the force) makes an angle of \( 120^\circ \) with the velocity vector of the object.

### Step 3: Determine the Direction of Change in Momentum
Since impulse is equal to the change in momentum, the direction of the change in momentum vector is the same as the direction of the impulse vector. Therefore, the change in momentum vector also points in the same direction as the impulse vector.

### Step 4: Find the Angle Between Impulse and Change in Momentum
Since both the impulse vector and the change in momentum vector point in the same direction, the angle between these two vectors is:
\[ \text{Angle} = 0^\circ \]

### Conclusion
Thus, the angle between the impulse vector and the change in momentum vector is \( 0^\circ \).

### Final Answer
The angle between the impulse vector and the change in momentum vector is **0 degrees** (Option 2).

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