The bucket weighing m = 80 kg was pulled by my soldiers with a force of T = 1200N. Try to determine what the kinetic

The bucket weighing m = 80 kg was pulled by my soldiers with a force of T = 1200N. Try to determine what the kinetic energy of the bucket was equal to t = 2.0 s after the start of the movement?

m = 80 kg.

T = 1200 N.

t = 2 s.

V0 = 0 m / s.

Ek -?

The kinetic energy of the bucket Ek is determined by the formula: Ek = m * V2 / 2, where m is the mass of the bucket, V is the speed of movement.

Since a constant force T acts on the bucket, it moves with acceleration, the value of which is expressed by the formula: a = T / m.

We write the acceleration of the bucket a according to the formula: a = (V – V0) / t = V / t.

T / m = V / t.

V = T * t / m.

Ek = m * (T * t) 2/2 * m2 = (T * t) 2/2 * m.

Ek = (1200 N * 2 s) 2/2 * 80 kg = 36000 J.

Answer: the bucket will have kinetic energy Ek = 36000 J.