Question

A block is pushed with a force of 15 newtons and accelerates at a rate of 3.0 m/s2. How much force would be needed to accelerate the same block at a rate of 6.0 m/s2?

A.7.5 N

B.15 N

C. 30 N

D. 90 N

Answer 1

Answer:30 N

Explanation: took the test.

Answer 2

In the problem, they gave you a force (F) and two acceleration values (you know it's acceleration because the units are m/s^2 while speed/velocity would be m/s).

We know that for an acceleration of 3.0m/s^2, we need to apply a force of 15N. We don't know the mass of the block however, and we need that to find the force necessary for an acceleration of 6.0m/s^2 (according to Newton's 2nd Law, F = ma).

So, let's apply F = ma to this problem to find the mass of the block!

`F=ma\\15=m(3)\\m=5kg`

Now we know the mass of the block thanks to the first givens, so we can figure out the new force!

`F=(5)(6)\\F=30N`

Therefore, your answer should be 30N.