You accelerate your 1500 Kg from 2 m/s to 12 m/s in 2 seconds. How do you determine
the cars acceleration
initial momentum
final momentum
change in momentum
the force required to do this?
a = (V-Vo)/t.
Initial Momentum = M*Vo.
Final momentum = M*V.
Change in momentum = M*V-M*Vo.
F = M*a.
To determine the car's acceleration, you can use the formula for acceleration:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 2 m/s, the final velocity is 12 m/s, and the time is 2 seconds. Plugging in these values, the calculation would be:
acceleration = (12 m/s - 2 m/s) / 2 s = 10 m/s^2
Therefore, the car's acceleration is 10 m/s^2.
To determine the initial momentum of the car, you can use the formula for momentum:
initial momentum = mass * initial velocity
The mass of the car is given as 1500 kg, and the initial velocity is 2 m/s. Plugging in these values, the calculation would be:
initial momentum = 1500 kg * 2 m/s = 3000 kg·m/s
Therefore, the initial momentum of the car is 3000 kg·m/s.
To determine the final momentum of the car, you can use the same formula for momentum, but with the final velocity:
final momentum = mass * final velocity
Using the given mass of 1500 kg and the final velocity of 12 m/s, the calculation would be:
final momentum = 1500 kg * 12 m/s = 18000 kg·m/s
Therefore, the final momentum of the car is 18000 kg·m/s.
To determine the change in momentum, you can subtract the initial momentum from the final momentum:
change in momentum = final momentum - initial momentum
Using the values we found earlier:
change in momentum = 18000 kg·m/s - 3000 kg·m/s = 15000 kg·m/s
Therefore, the change in momentum of the car is 15000 kg·m/s.
To calculate the force required to accelerate the car, you can use Newton's second law of motion:
force = mass * acceleration
Using the given mass of 1500 kg and the acceleration of 10 m/s^2, the calculation would be:
force = 1500 kg * 10 m/s^2 = 15000 N
Therefore, the force required to accelerate the car is 15000 Newtons.