A large force is acting on a body for a short time. The impulse imparted is equal to the change in

Options

A. 1.acceleration
B. 2.momentum
C. 3. energy
D. 4. velocity

Explanation

To solve the question, we need to understand the relationship between impulse and momentum. Here’s a step-by-step breakdown:

### Step 1: Understand Impulse
Impulse (I) is defined as the product of the average force (F) acting on an object and the time duration (Δt) for which the force acts. Mathematically, it can be expressed as:
\[ I = F \cdot \Delta t \]

### Step 2: Relate Impulse to Momentum
According to Newton's second law, the force acting on an object is equal to the rate of change of momentum (p) of that object. This can be expressed as:
\[ F = \frac{\Delta p}{\Delta t} \]
where Δp is the change in momentum.

### Step 3: Rearranging the Equation
From the equation in Step 2, we can rearrange it to find the change in momentum:
\[ \Delta p = F \cdot \Delta t \]

### Step 4: Connect Impulse and Change in Momentum
From Step 1 and Step 3, we see that:
\[ I = F \cdot \Delta t = \Delta p \]
This shows that the impulse imparted to the body is equal to the change in momentum of the body.

### Conclusion
Therefore, the impulse imparted is equal to the change in momentum.

### Final Answer
The impulse imparted is equal to the change in momentum.

---