A soccer ball is kicked in space, where we assume there is no friction or other forces acting on the ball, at 13 m/s. How much force is needed to keep the ball moving?

Question

anonymous · Answer

$$S=\frac{1}{2}at^2+vt+s_0$$
$$S=\frac{1}{2}at^2+vt$$
$$V=at+V_0$$

assuming the ball was sitting in space at rest

$$V=at=13$$

$$\frac{13}{a}=t$$

anonymous · Answer

None. since there is no other forces impeding its movement, and since it is moving with uniform velocity, then it will, by Newton's first law, continue to move.

anonymous · Answer

I thought the question asked what was the force upon the ball -.-

anonymous · Answer

yes. the question asks what is the force on the ball that keeps it moving.

anonymous · Answer

In the case of the force required to get the ball to 13 m/s, it also depends on how long you exert the force and the mass of the ball. If you apply 10000N but only for a microsecond, you won't gain much velocity. The relation between force and acceleration is
$$F = m*a = m * \frac{ \Delta v }{ \Delta t }$$
Then, to gain a speed of 13 m/s, the relation is:
$$13 = \frac{ F * \Delta t }{ m }$$