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What is the momentum of a 35-kilogram cart moving at a speed of 1.2 meters/second?

A. 42 kilogram meters/second
B. 70 kilogram meters/second
C. [tex]$4.2 \times 10^2$[/tex] kilogram meters/second
D. [tex]$7.0 \times 10^2$[/tex] kilogram meters/second

Sagot :

GinnyAnsweridn
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
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