A tugboat tows a ship with a constant force of magnitude F1. The increase in the ship's speed during a 10 s interval is 2.0 km/h. When a second tugboat applies an additional constant force of magnitude F2 in the same direction, the speed increases by 11 km/h during a 10 s interval. How do the magnitudes of F1 and F2 compare

Explanation:

Given that:

A tugboat tows a ship with a constant force of magnitude F1 and then increases the ship's speed during a 10 s interval with 2.0 km/h.

If  F = ma

we can say for

where :

      since F is constant so ; acceleration too is constant

= 2.0 km/h

=

= 0.556 m/s

Similarly ;

We can as well say ;

= 3.0556 m/s²

Now; the additional force acting on the ship in the same direction of the force  i.e the net force is :

Thus; we can say:

Thus, the magnitude of F1 and F2 compare in a way that says: