Fred, Betsy and Joe all pull a tire. The tire's mass is M = 75 kg. The force of each person is
• Fred: Ffred to the East
• Betsy: 340 N to the North
• Joe: 400 N at an angle theta South of West

The net result is that the tire accelerates slowly to the North, at a = 1.0 m/s2.

What is the angle theta?

How hard is Fred pulling?

```

```

```   force        x            y
--------------------------------
|          |
|          |
|          |
|          |
|          |
|          |
|          |
|          |
--------------------------------
total   |          |
--------------------------------

x           y
--------------------------------
accel   |          |
|          |
--------------------------------

```

If you have time ...

The kids take a break, then start pulling again. This time, things are a little different:

• Betsy still pulls North at 340 N
• Fred still pulls East, but with a force of 250 N
• Joe pulls with a new force FJoe at a different angle theta
• the tire does accelerate North at 1 m/s^2 again

Can you figure out the magnitude and direction of FJoe?