an object of mass 40 kg moves with an acceleration of 8 m/s2. the rate of change of momentum in si unit is a.

1. Break Down the Problem

To find the rate of change of momentum (which is equivalent to force), we need to focus on the relationship between mass, acceleration, and momentum.

2. Relevant Concepts

The rate of change of momentum can be calculated using the formula: $\text{Rate of Change of Momentum} = \text{Mass} \times \text{Acceleration}$ Where:

• Mass (m) = 40 kg
• Acceleration (a) = 8 m/s²

3. Analysis and Detail

Now we can plug in the values into the formula: $\text{Rate of Change of Momentum} = m \cdot a = 40 \, \text{kg} \times 8 \, \text{m/s}^2$ Calculating this gives: $\text{Rate of Change of Momentum} = 320 \, \text{kg} \cdot \text{m/s}^2$

4. Verify and Summarize

The units of $320 \, \text{kg} \cdot \text{m/s}^2$ are equivalent to Newtons (N), which is the unit of force in the SI unit system.

Final Answer

The rate of change of momentum is $320 \, \text{N}$.