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 can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
First, we can calculate the change in velocity (∆v) using the formula: ∆v = final velocity - initial velocity.
∆v = 14 m/s - 5.5 m/s = 8.5 m/s
Next, we can calculate the acceleration (a) using the formula: a = ∆v / ∆t, where ∆t is the change in time.
∆t = 30 seconds
a = 8.5 m/s / 30 s = 0.283 m/s^2
Finally, we can substitute the known values (mass and acceleration) into Newton's second law to find the net force (F).
F = m * a
F = 150 kg * 0.283 m/s^2
F ≈ 42.45 N
Therefore, approximately 42.45 Newtons of net force is required to raise the velocity of the car to 14 m/s in 30 seconds.