To determine the momentum of the cart, we use the formula for momentum:
[tex]\[ \text{Momentum} = \text{mass} \times \text{velocity} \][/tex]
Here, the mass of the cart is 35 kilograms, and the velocity is 1.2 meters per second.
Step-by-step, the calculation looks like this:
1. Identify the given values:
- Mass (m) = 35 kilograms
- Velocity (v) = 1.2 meters/second
2. Multiply the mass by the velocity:
[tex]\[ \text{Momentum} = 35 \, \text{kg} \times 1.2 \, \text{m/s} \][/tex]
3. Perform the multiplication:
[tex]\[ \text{Momentum} = 42 \, \text{kg} \cdot \text{m/s} \][/tex]
Thus, the momentum of the cart is [tex]\( 42 \, \text{kilogram meters/second} \)[/tex].
Therefore, the correct answer is:
A. 42 kilogram meters/second