A force of 10 Newton acts on a body of mass 20 kg for 10 seconds. Change in its momentum is

Options

A. 5 `"kg m"//s`
B. `100"kg m"//s`
C. `200"kg m"//s`
D. `1000"kg m"//s`

Answer

To find the change in momentum of a body when a force is applied, we can use the relationship between force, time, and momentum. The change in momentum (Δp) can be calculated using the formula:

\[ \Delta p = F \times t \]

where:
- \( F \) is the force applied,
- \( t \) is the time for which the force is applied.

### Step-by-Step Solution:

1. **Identify the given values**:
- Force \( F = 10 \, \text{N} \)
- Time \( t = 10 \, \text{s} \)

2. **Use the formula for change in momentum**:
\[ \Delta p = F \times t \]

3. **Substitute the values into the formula**:
\[ \Delta p = 10 \, \text{N} \times 10 \, \text{s} \]

4. **Calculate the change in momentum**:
\[ \Delta p = 100 \, \text{Ns} \quad \text{(Newton-seconds)} \]

5. **Convert Newton-seconds to kg·m/s** (since 1 Ns = 1 kg·m/s):
\[ \Delta p = 100 \, \text{kg·m/s} \]

Thus, the change in momentum is **100 kg·m/s**.

### Final Answer:
The change in momentum is **100 kg·m/s**.

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