A car weighing 15,000 N is speeding down the highway at 90 km/h. What is its momentum?
Convert the weight W (in N) to the mass M (in kg).
M = W/g
Then convert the speed in km/h to m/s.
V = 90 km/h = 25 m/s
The momentum is M*V. The preferred units are km*m/s.
166.66
38239.25
To calculate the momentum of an object, you need to multiply its mass by its velocity. In this case, we are given the weight of the car, but we need to convert it to mass first.
The weight of an object is actually the force of gravity acting on it, and weight is given by the equation:
weight = mass x acceleration due to gravity
In this case, the weight of the car is 15,000 N, which is equal to the force of gravity acting on the car. The acceleration due to gravity (represented by 'g') is approximately 9.8 m/s².
Now, we can determine the mass of the car by rearranging the equation:
weight = mass x acceleration due to gravity
mass = weight / acceleration due to gravity
mass = 15,000 N / 9.8 m/s² = 1530.61 kg (rounded to two decimal places)
Next, we convert the velocity of the car from km/h to m/s, since momentum is calculated using SI units (meters per second).
To convert km/h to m/s, divide the value by 3.6:
velocity (m/s) = 90 km/h / 3.6 = 25 m/s
Finally, we can calculate the momentum of the car using the formula:
momentum = mass x velocity
momentum = 1530.61 kg x 25 m/s = 38,265.25 kg·m/s
Therefore, the momentum of the car is 38,265.25 kg·m/s.