A 1,000 kg car accelerates uniformly to double its speed from 13.5 ms in 5.77 s.
What net force acted on this car?
change in speed = 13.5
change in time = 5.77
so
average acceleration = a = 13.5/5.77
F = m a = 1,000 (13.5/5.77)
2339
To find the net force acting on the car, we can use Newton's second law of motion that states:
F = m * a
Where F is the net force, m is the mass of the car, and a is the acceleration.
Given:
Mass of the car (m) = 1,000 kg
Initial speed (u) = 13.5 m/s
Final speed (v) = 2 * u = 2 * 13.5 m/s = 27 m/s
Time taken (t) = 5.77 s
To determine the acceleration (a), we can use the formula:
a = (v - u) / t
Substituting the values:
a = (27 - 13.5) / 5.77
Now, let's calculate the acceleration:
a = 13.5 / 5.77
a ≈ 2.34 m/s^2
Finally, we can calculate the net force (F):
F = m * a
F = 1,000 kg * 2.34 m/s^2
F ≈ 2,340 N
Therefore, the net force acting on the car is approximately 2,340 Newtons.
To calculate the net force acting on the car, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the initial velocity and final velocity of the car. The initial velocity is given as 13.5 m/s, and the car accelerates to double its speed. So, the final velocity is 2 times the initial velocity, which is 2 * 13.5 m/s = 27 m/s.
Next, we need to calculate the acceleration of the car. The acceleration is the change in velocity divided by the time it takes for that change to occur. The change in velocity is the final velocity minus the initial velocity, which is 27 m/s - 13.5 m/s = 13.5 m/s. The time taken for this change is given as 5.77 seconds.
Now, let's use the formula to calculate the acceleration:
acceleration = (change in velocity) / time
acceleration = 13.5 m/s / 5.77 s ≈ 2.34 m/s^2
Finally, we can calculate the net force acting on the car using Newton's second law:
net force = mass * acceleration
net force = 1000 kg * 2.34 m/s^2 ≈ 2340 N
Therefore, the net force acting on the car is approximately 2340 Newtons.