Answer :
To find the impulse imparted to the cart, we need to use the formula for impulse:
[tex]\[ \text{Impulse} = \text{Force} \times \text{Time} \][/tex]
1. Identify the given values:
- The force applied to the cart is 275 Newtons (N).
- The time duration for which the force is applied is 3.8 seconds.
2. Apply the formula:
- Multiply the force by the time to find the impulse:
[tex]\[ \text{Impulse} = 275 \, \text{N} \times 3.8 \, \text{s} = 1045 \, \text{Ns} \][/tex]
3. Understand the unit:
- The unit for impulse is Newton-seconds ([tex]\(\text{Ns}\)[/tex]), which is equivalent to kg·m/s. None of the provided answer choices match this unit. Therefore, the provided options do not reflect the correct unit.
Hence, the calculated impulse is 1045 Ns, and none of the given choices are correct.
[tex]\[ \text{Impulse} = \text{Force} \times \text{Time} \][/tex]
1. Identify the given values:
- The force applied to the cart is 275 Newtons (N).
- The time duration for which the force is applied is 3.8 seconds.
2. Apply the formula:
- Multiply the force by the time to find the impulse:
[tex]\[ \text{Impulse} = 275 \, \text{N} \times 3.8 \, \text{s} = 1045 \, \text{Ns} \][/tex]
3. Understand the unit:
- The unit for impulse is Newton-seconds ([tex]\(\text{Ns}\)[/tex]), which is equivalent to kg·m/s. None of the provided answer choices match this unit. Therefore, the provided options do not reflect the correct unit.
Hence, the calculated impulse is 1045 Ns, and none of the given choices are correct.