Find the magnitude and direction of the net gravitational force o...

Question

Find the magnitude and direction of the net gravitational force on mass A due to masses B and C in Fig. E13.6<Image>. Each mass is 2.00 kg.

Accepted Answer

Welcome back everybody. We are looking at three different masses here that all have a mass of six programs and they're at these different positions on the X axis. Right now, we are asked to find the summation of the gravitational forces acting on C a k A. We're gonna have the sum of mass. Sorry, the some of the force of be acting on psi plus the force of be acting on psi. And not only do we have to figure out the magnitude but the direction direction we can take of super quickly, gravitational forces are only attracting which means B and C are both going to pull see to the right meaning it will be right or positive along the X axis. So ask for the magnitude. Well, the force of gravity between any given two bodies is going to be Newton's gravitational constant times the mass of the first body times the mass of the second body. All divided by the distance between the centers of the two bodies. So let's go ahead and apply this formula to these two terms. And get our total summation here. So, first, the force of be acting on psi, we're gonna have Newton's gravitational constant of 6.67 times 10 to the negative 11. And at times six squared the masses right. Each of them are six or six times six is six squared times the distance between them squared. Well the difference between zero and negative 40 is going to be negative 40 centimeters or negative 400.4 m. So we have negative 0.4, great. So now plus the force of D. Acting on psi. So same thing up top, you have 6.67 times 10 to the negative 11 times six squared All over the distance between those this time you have 40 on one side and 40 cm on one side of the I guess X equals zero line and centimeters on the other. So the distance between them is going to be 300.7 m or 70 centimeters. So 700.7 squared. Which when you plug all of this new calculator, you get an answer of 1.99 times 10 to the negative eight newtons is the total force acting on psi by the other two masses corresponding to answer choice. A thank you all so much for watching. Hope this video helped. We will see you all in the next one.

Find the magnitude and direction of the net gravitational force on mass A due to masses B and C in Fig. E13.6. Each mass is 2.00 kg.

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