# Two asteroids bump in space. The larger one has a mass of 3000 kg and the smaller one has a mass of 100 kg. f the force of the collision is 10,000 newtons on each asteroid, what are their accelerations?

##### 1 Answer

The larger one accelerates at

#### Explanation:

The acceleration is obtained thru use of Newton's 2nd Law:

Rearranging this to yield acceleration gives us:

Each asteroid experiences a force of 10,000 N. Note, the Newton was defined to be equivalent to

The 3000 kg asteroid:

The 100 kg asteroid:

Since acceleration is a vector and since the 2 accelerations will be in opposite directions, one of them needs to be negative. Either could be negative depending on assignment of a reference system. The larger one would probably insist on saying his direction is positive, so the smaller asteroid's acceleration would be negative.

I hope this helps,

Steve