A car is moving at a constant velocity of 5.5m/s. How much net force is required to raise its velocity to 14 m/s in 30 seconds? Suppose the car has a mass of 150kg.
To determine the net force required to raise the velocity of the car, we need to calculate the acceleration first.
Acceleration can be calculated using the formula:
acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (v_initial) = 5.5 m/s
Final velocity (v_final) = 14 m/s
Time (t) = 30 seconds
Using the formula for acceleration:
acceleration = (14 m/s - 5.5 m/s) / 30 s
acceleration = 8.5 m/s / 30 s
acceleration = 0.2833 m/s^2
Now that we have the acceleration, we can calculate the net force required using Newton's second law of motion:
Force (F) = mass (m) * acceleration (a)
Given:
Mass of the car (m) = 150 kg
Acceleration (a) = 0.2833 m/s^2
Using the formula for force:
Force = 150 kg * 0.2833 m/s^2
Force = 42.5 N
Therefore, the net force required to raise the velocity of the car to 14 m/s in 30 seconds is 42.5 Newtons.