Question

A car weighing 14,700 N is speeding down a highway with a velocity of 99 km/h. What is the

momentum of this car?

Answer 1

The momentum of the car is 41,670 kg×m/s.

Step-by-step explanation:

Momentum is the product of an object's mass and its velocity. To calculate the momentum of the car, we first need to convert its velocity from km/h to m/s. Since 1 km/h is equal to 0.2778 m/s, the velocity of the car is 99 km/h × 0.2778 m/s/km/h = 27.78 m/s. Now, we can calculate the momentum using the formula:

Momentum = mass × velocity

Given that the weight of the car is equal to its mass multiplied by the acceleration due to gravity, we can find the mass by dividing the weight by the acceleration due to gravity. Assuming the acceleration due to gravity is 9.8 m/s2, the mass of the car is 14,700 N / 9.8 m/s2 = 1,500 kg. Therefore, the momentum of the car is 1,500 kg × 27.78 m/s = 41,670 kg×m/s.

Answer 2

Answer: 148348.6239 kg•m/s

Explanation: Firstly, we need to convert the 14700 N into kilograms, and to do so, use the formula net force is equal to mass times acceleration and rearrange the formula to find mass like shown below...

F = ma

F/a = m

14700/9.81 = 1498.470948 kg, this is your mass

Now that we convert it into kilograms, plug all the numbers into the variable of the momentum formula.

Momentum formula is P = mass x velocity

Like this:

P = 1498.470948 x 99

p = 148348.6239 kg•m/s.

I believe that is your answer, hope that helps you even a bit out.

Thanks.