A case of mass 1200kg moving with a regular velocity of 12m/s increases it velocity to 18m/s in 10s. Calculate the magnitude of the force exerted on the engine
To calculate the magnitude of the force exerted on the engine, we can use Newton's second law of motion:
Force = mass x acceleration
First, let's find the acceleration of the object. We can use the following equation of motion:
final velocity = initial velocity + (acceleration x time)
18 m/s = 12 m/s + (acceleration x 10 s)
Rearranging the equation to solve for acceleration:
acceleration = (18 m/s - 12 m/s) / 10 s
acceleration = 6 m/s / 10 s
acceleration = 0.6 m/s^2
Now, we can calculate the magnitude of the force using Newton's second law of motion:
Force = mass x acceleration
Force = 1200 kg x 0.6 m/s^2
Force = 720 N
Therefore, the magnitude of the force exerted on the engine is 720 Newtons.