A parking brake on a car has broken.  The car has a momentum of 7,800 kg*m/s and is going 6.5 m/s?What is the mass of the car

1. Break Down the Problem

To find the mass of the car, we can use the formula for momentum, which is defined as the product of mass and velocity:

$p = m \cdot v$

Where:

• $p$ is the momentum (in kg*m/s),
• $m$ is the mass (in kg),
• $v$ is the velocity (in m/s).

We need to isolate $m$ in the equation to find the mass of the car.

2. Relevant Concepts

The relevant concept here is the definition of momentum and its equation: $p = m \cdot v$

From this equation, we can express the mass as: $m = \frac{p}{v}$

3. Analysis and Detail

Now, we can substitute the given values into the equation. The momentum $p$ is 7,800 kg*m/s and the velocity $v$ is 6.5 m/s.

Substituting the values: $m = \frac{7800 \, \text{kg*m/s}}{6.5 \, \text{m/s}}$

4. Verify and Summarize

Now, we will perform the calculation:

$m = \frac{7800}{6.5} = 1200 \, \text{kg}$

So, the mass of the car is 1200 kg.

Final Answer

The mass of the car is 1200 kg.