Question

A sled is accelerating down a hill at a rate of 1 m s2 . If the mass of the sled is suddenly cut in half and the net force on the sled is doubled, what is the acceleration of the sled?

Answer 1

C

Step-by-step explanation:

I think I've done a problem exactly the same to this and that was the answer I put, and it was correct... so yea c:

Answer 2

We have that F=ma from the 2nd Newton law where F is the force, m is the mass and a is the acceleration. Suppose we have that F' is the new force and m' is the new mass. Then, we have that a'=F'/m' still, by rearranging Newton's law. We are given that F'=2F and m'=m/2. Hence,

`a'= (2F)/( (m)/(2) ) = (4F)/(m) = 4(F)/(m)`
But now, we have from F=ma, that a=F/m and we are given that a=1m/s^2.
We can substitute thus, a'=4a=4*1m/s^2=4m/s^2.