A race car has a mass of 714 kg. It accelerates uniformly from rest, and travels 55 m in 2.95 s. What is the acceleration of the car? And, what is the net force acting on the car?
To calculate the acceleration of the car, we'll use the formula:
acceleration = (final velocity - initial velocity) / time
Given that the car starts from rest (initial velocity = 0 m/s) and travels a distance of 55 m in a time of 2.95 s, we can find the final velocity using the formula:
final velocity = distance / time = 55 m / 2.95 s
Let's calculate the final velocity first:
final velocity = 55 m / 2.95 s = 18.644 m/s
Now, we can calculate the acceleration:
acceleration = (final velocity - initial velocity) / time = (18.644 m/s - 0 m/s) / 2.95 s
acceleration = 18.644 m/s / 2.95 s
acceleration = 6.324 m/s²
So, the acceleration of the car is 6.324 m/s².
To find the net force acting on the car, we'll use Newton's second law of motion:
net force = mass × acceleration
Given that the mass of the car is 714 kg and the acceleration is 6.324 m/s², we can calculate the net force:
net force = 714 kg × 6.324 m/s²
net force = 4523.736 N
So, the net force acting on the car is 4523.736 N.