A race car has a mass of 707 kg. It starts from rest and travels 40 m in 4.0 s. The car is uniformly accelerated during the entire time. What net force is applied to it?
To find the net force applied to the race car, we can use Newton's second law of motion, which states that the net force (F_net) acting on an object is equal to the mass (m) of the object multiplied by its acceleration (a).
The race car travels a distance of 40 m in a time of 4.0 s. We can use this information to calculate its acceleration.
First, we need to calculate the car's initial velocity (v_i). Since the car starts from rest, v_i is 0 m/s.
To find the acceleration (a), we can use the formula:
a = (v_f - v_i) / t
where v_f is the final velocity and t is the time taken.
We know that the final velocity of the car (v_f) is equal to the distance (d) divided by the time (t):
v_f = d / t
Substituting the given values:
v_f = 40 m / 4.0 s
v_f = 10 m/s
Now we can calculate the acceleration:
a = (v_f - v_i) / t
a = (10 m/s - 0 m/s) / 4.0 s
a = 2.5 m/s^2
Using Newton's second law of motion, we can find the net force (F_net) applied to the car:
F_net = m * a
Substituting the given mass of the race car:
F_net = 707 kg * 2.5 m/s^2
F_net = 1767.5 N
Therefore, the net force applied to the race car is 1767.5 Newtons.