Again draw the forces ON the lawnmower. You have the weight which acts down. The push on the handle which acts diagonally DOWN from the middle of the mower and there is an upward force of the ground on the mower. You draw the friction parallel to the ground and in the backward direction.
Since the mower is moving parallel to level ground you are only concerned with forces that act parallel to the ground. How many do you have? Well obviously friction but is there another one? If so what is it?
okay. So i want to find the force that is parrelel to the ground (other then friction). So to use one of the sin, cos, tan i need another side to the triangle. Would it be the 14.9kg that is pushing the lawnmower down?
In other words you can find the parallel force first, then use the trig function to find the diagonal if you wish or you can do it all in one equation.
The sum of the forces in the x direction equal mass times acceleration. One force moves the mower, the other holds it back.
Nope - the weight is vertical. You don't need it in this problem to figure out the horizontal motion since friction is already given
If the sum of the forces in the x direction equal mass time acceleration, then that would mean 12.9*3.7=47.73. But that's less then the friction.. so wouldn't that mean that it is not moving?
Think of it this way. When you push a lawn mower your push does two things. It actually makes the mower feel heavier because part of your push is downward. It makes the mower accelerate because it moves it forward
Sick! i can't thank you enough. I would of got none of the equations right if it weren't for this. Website crashed again (probably because of all the kids doing homework last minute) but ill get it in as soon as it is up! thanks again and good night.
i did the 70kg times the 20 (because it was the maxium occupancy). and then added the answer to that to 540kg to get the total down force. I converted it to Newtons then subtracted the up force (32471) from the down force. With that, I did F=Ma and got the answer. hopefully that made sense haha