A force of 50 N acts on a body for 10 s. What will be the change in momentum of the body ?

Options

A. 200 N.s
B. 400 N.s
C. 500 N.s
D. 1000 N.s

Explanation

To solve the problem, we need to find the change in momentum of a body when a force is applied. We can use the relationship between force, change in momentum, and time.

### Step-by-Step Solution:

**Step 1: Understand the relationship between force and momentum.**
The force acting on an object is equal to the rate of change of momentum. Mathematically, this can be expressed as:
\[ F = \frac{\Delta p}{\Delta t} \]
where \( F \) is the force, \( \Delta p \) is the change in momentum, and \( \Delta t \) is the time duration over which the force acts.

**Step 2: Rearrange the formula to find change in momentum.**
We can rearrange the equation to solve for the change in momentum:
\[ \Delta p = F \cdot \Delta t \]

**Step 3: Substitute the given values into the equation.**
From the problem, we know:
- Force \( F = 50 \, \text{N} \)
- Time \( \Delta t = 10 \, \text{s} \)

Now, substituting these values into the equation:
\[ \Delta p = 50 \, \text{N} \cdot 10 \, \text{s} \]

**Step 4: Calculate the change in momentum.**
Calculating the above expression gives:
\[ \Delta p = 500 \, \text{N} \cdot \text{s} \]

Thus, the change in momentum of the body is:
\[ \Delta p = 500 \, \text{kg m/s} \]

### Final Answer:
The change in momentum of the body is **500 kg m/s**.

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