If the cart is pulled with a force of 5 N, then its acceleration will be 0.2 m / s ^ 2. With what force is it necessary

If the cart is pulled with a force of 5 N, then its acceleration will be 0.2 m / s ^ 2. With what force is it necessary to act on this trolley so that its acceleration is 2 m / s ^ 2 (neglect friction).

Given:

F1 = 5 Newton – force value;

a1 = 0.2 m / s ^ 2 – acceleration with which the body moves under the influence of the force F1;

a2 = 2 m / s ^ 2 – the acceleration with which the body moves under the influence of the force F2.

It is required to determine F2 (Newton) – the value of the force.

According to Newton’s second law, we find the mass of the body:

m = F1 / a1 = 5 / 0.2 = 25 kilograms.

Then, to move with acceleration a2, the force must be equal to:

F2 = m * a2 = 25 * 2 = 50 Newtons.

Answer: the value of the force F2 should be equal to 50 Newtons.