You pull upward on a stuffed suitcase with a force of 118 N, and it accelerates upward at 0.765 m/s2.

What is the mass of the suitcase?

I tried to find the mass and got the mass being 154.25 kg but that isn't right. Can someone explain how to find the mass?

Would you use sigma Force = mass x acceleration, because that is what I used?

1 answer

There are two forces on the suitcase: 118 N upwards and M g downwads.
Newton's F = Ma equation becomes:
118 - M g = M * 0.765

118 N = M (0.765 m/s^2 + 9.81 m/s^2) = 10.575 M
M = 11.2 kg (rounded to three significant figures)