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?
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)
To find the mass of the suitcase, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. The formula is:
Force = mass * acceleration
Given that you pulled upwards on the suitcase with a force of 118 N and it accelerated upwards at 0.765 m/s², you can rearrange the formula to solve for mass:
mass = force / acceleration
Substituting the given values:
mass = 118 N / 0.765 m/s²
mass ≈ 154.25 kg
The mass you calculated, 154.25 kg, is correct. So it seems there might be a mistake in your calculations or some misunderstanding of the problem. Double-check your work and ensure that you are performing the division correctly.