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?

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].

To calculate the acceleration of the piano, we need to use Newton's second law of motion, which states that force equals mass times acceleration (F = m*a). In this case, both John and Paul are exerting a force of 100N each. Since the forces they are exerting are perpendicular to each other, we can use the Pythagorean theorem to find the total force acting on the piano.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the two sides are 100N and 100N.

So, using the Pythagorean theorem:
total force = sqrt(100^2 + 100^2) = sqrt(20,000) = 141N

Now that we have the total force, we can use Newton's second law to find the acceleration. Rearranging the formula, we have:
acceleration = total force / mass = 141N / 100kg = 1.41m/s^2

Therefore, the magnitude of the acceleration of the piano is 1.41m/s^2.

To determine the direction of the acceleration, we need to use trigonometry. Since John is pushing towards the North and Paul is pushing towards the East, the angle between their forces is 45 degrees. This means that the acceleration vector is at a 45-degree angle between North and East, which is the North-East direction.

So, the acceleration of the piano has a magnitude of 1.41m/s^2 and a direction of 45 degrees North-East.