john and paul are trying to move a 100kg piano which is resulting on a flat, smooth floor. John pushing towards the North, while Paul is pushing towards the East. Both are exerting a 100N force. What is acceleration of the piano (magnitude and direction)?

A=200/100=2m/s^2
physics - Devron, Friday, May 16, 2014 at 2:14am
45 North East

110^2+100^2=20,000

Sqrt*(20,000)=141N

141N=m*a

141N=100kg*a

141N/100kg=a

a=1.41m/s^2
physics - Devron, Friday, May 16, 2014 at 2:31am
Direction:

45 North East

110^2+100^2=20,000

Magnitude:

Sqrt*(20,000)=141N

Acceleration:

141N=m*a

141N=100kg*a

141N/100kg=a

a=1.41m/s^2
physics - trish, Friday, May 16, 2014 at 2:35am
45 North East

110^2+100^2=20,000

Sqrt*(20,000)=141N

Not sure how you came up with 45NE and 110? Did you add force of gravity?

2 answers

Check your previous post.
X = 100N
Y = 100N

Tan A = Y/X = 100p/100 = 1.0
A = 45o = Direction.

Fr = X/Cos A = = 100/Cos45=141.4N[45o]=
Resultant force.

a=Fr/m=141.4[45o]/100kg=1.414m/s^2[45o].