A lorry has a mass of 5640kg and accelerates uniformly from rest to reach a velocity of 100km/h in 10s. Determine the acceleration of the lorry. Determine the force needed to accelerate the lorry
a=(vf-Vi)/time
change km/hr to m/s
force=mass*a
To determine the acceleration of the lorry, we can use the equation of motion:
acceleration = (final velocity - initial velocity) / time
First, let's convert the final velocity from km/h to m/s. We know that 1 km/h is equal to 0.2778 m/s, so:
final velocity = 100 km/h * 0.2778 m/s = 27.78 m/s
Now we can calculate acceleration:
acceleration = (27.78 m/s - 0 m/s) / 10 s = 2.78 m/s^2
Therefore, the acceleration of the lorry is 2.78 m/s^2.
To determine the force needed to accelerate the lorry, we can use Newton's second law of motion, which states that:
force = mass * acceleration
Plugging in the values we have:
force = 5640 kg * 2.78 m/s^2 = 15,667.2 N
Therefore, the force needed to accelerate the lorry is 15,667.2 Newtons.