# Perpendicular Forces, Acceleration and Mass Problem

## Homework Statement

Two perpendicular forces, one of 45.0 N directed upward and the second of 60.0 N directed to the right, act simultaneously on an object with a mass of 35.0 kg. What is the magnitude of the resultant acceleration of the object?

A. 8.68 m/s^2
B. 3.00 m/s^2
C. 5.25 m/s^2
D. 1.41 m/s^2

## Homework Equations

F = ma to a = F/m

## The Attempt at a Solution

a = F/35.0 kg

I simply don't understand what to do with the two forces? Should I draw a diagram? Please help me!

cristo
Staff Emeritus
The acceleration on the particle will be due to the resultant force. How can you calculate the resultant of the two forces? Draw a diagram-- it may help you.

Would I use the Pythagorean Theorem?

I did (45.0)^2 + (60.0)^2 = c^2
c = 87.46 N

I plugged that into a = 87.46 N/35.0 kg, and got an incorrect answer.

What did I do wrong?

cristo
Staff Emeritus
Your calculation for c is wrong. Try checking it again.

Sorry, c is 75 Newtons.

a = 75 N/35.0 kg
a = 2.14 m/s^2

Am I missing a step?

(Thanks for helping me so far)

cristo
Staff Emeritus