What force is required to cause a body of mass 10kg to accelerate uniformly from rest to as velocity of 50ms-¹ In 10s (neglect air resistance)
To calculate the force required to accelerate a body of mass 10kg from rest to a velocity of 50 m/s in 10 seconds, we first need to calculate the acceleration of the body.
Given:
Initial velocity (u) = 0 m/s
Final velocity (v) = 50 m/s
Time taken (t) = 10 s
Acceleration (a) can be calculated using the formula:
a = (v - u) / t
a = (50 - 0) / 10
a = 5 m/s²
Now, we can calculate the force required using Newton's second law of motion, which states:
Force = mass x acceleration
Force = 10 kg x 5 m/s²
Force = 50 N
Therefore, a force of 50 Newtons is required to accelerate a body of mass 10 kg from rest to a velocity of 50 m/s in 10 seconds.