
If you happen to drive a car with a manual transmission

and you've ever let the battery die, well, there's a good chance you've had to push your car.

Let's talk about the forces involve in pushing a car.

Let's say we're lucky enough to have 3 people pushing this car.

Our green and purplehaired doctors and, oh I don't know, Albert Einstein.

Let's say we're looking at this car from above.

Here's our bird'seye view of the carfrom aboveand the mass of this car is 1000 kg.

Let's say Einstein is pushing from directly behindhere's the top of Einstein's head,

and there are his arms.

The greenhaired doctor is pushing from the side at a small angle, you'll notice.

The purplehaired doctor is pushing from the other side, also at a small angle.

Let's say an interesting fact about this group of friends

is that they can all push with exactly the same force.

When they all push on this car at that same time with this exact same force,

the acceleration of the car is 0.5 m/s².

The angle that the green and purplehaired doctors are pushing at we'll call α.

For this problem α is 30 degrees, so they're pushing at a 30degree angle.

Einstein here is pushing directly up on the back of the car,

but these guys are doing it at a 30degree angle.

I want you to tell me with what force is each person pushing.

Enter your answer here in Newtons.