(a) What is the acceleration of an automobile that goes from a dead stop to a speed of 50
m/s in 5 s? (b) Assume that you are driving an automobile that has a mass of 800 kg. If this
acceleration is applied, how much force (in Newtons) is applied?
a. a = (Vf-Vo) / t = (50-0)/5=10 m/s^2.
b. Fap = ma = 800 *10 = 8000 N.
To find the acceleration of the automobile, you can use the formula:
Acceleration = (Final Velocity - Initial Velocity) / Time
In this case, the final velocity is 50 m/s, the initial velocity is 0 m/s (since it starts from a dead stop), and the time is 5 seconds.
So, plugging the values into the formula:
Acceleration = (50 m/s - 0 m/s) / 5 s = 10 m/s^2
Therefore, the acceleration of the automobile is 10 m/s^2.
To find the force applied to the automobile, you can use Newton's second law of motion:
Force = Mass * Acceleration
In this case, the mass of the automobile is given as 800 kg, and we know the acceleration is 10 m/s^2.
So, plugging the values into the formula:
Force = 800 kg * 10 m/s^2 = 8000 N
Therefore, the force applied to the automobile is 8000 Newtons.