The masses and coordinates of three spheres are as follows: 26 kg, x = 1.50 m, y = 1.00 m; 42 kg, x = -2.25 m, y = -1.25 m; 50 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 16 kg sphere located at the origin due to the other spheres?
Due to 26kg sphere
r = √[(1.5)2 + (1)2] = 1.803
Let 'θ' be the angle that the line joining the masses makes with positive x-axis
cos(θ) = 1.5 / r = 0.832
sin(θ) = 1 / r = 0.555
F1 = G(26)*(16) / r2 = 8.54*10-9 N
F1 = [F1*cos(θ)] i + [F1*sin(θ)] j
=> F1 = (7.1*10-9) i + (4.74*10-9) j
Due to 42kg sphere
r = √[(2.25)2 + (1.25)2] = 2.574
Let 'θ' be the angle that the line joining the masses makes with negative x-axis
cos(θ) = 2.25 / r = 0.874
sin(θ) = 1.25 / r = 0.486
F2 = G(42)*(16) / r2 = 6.76*10-9 N
F2 = -[F2*cos(θ)] i + -[F2*sin(θ)] j
=> F2 = -(5.91*10-9) i - (3.28*10-9) j
Due to 50kg sphere
r = 0.75
F3 = G(50)*(16) / r2 = 94.86*10-9 N
F3 = -[F3] j
=> F3 = -(94.86*10-9) j
F = F1 + F2 + F3
=> F = (1.19*10-9) i - (93.4*10-9) j
Magnutude = √[(1.19*10-9)2 + (-93.4*10-9)2] = 93.41*10-9 N
The masses and coordinates of three spheres are as follows: 26 kg, x = 1.50 m,...
The masses and coordinates of three spheres are as follows: 14 kg, x = 2.25 m, y = 1.50 m; 42 kg, x = -1.25 m, y = -2.25 m; 70 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 10 kg sphere located at the origin due to the other spheres?
The masses and coordinates of three spheres are as follows: 28 kg, x = 2.25 m, y = 2.00 m; 30 kg, x = -1.25 m, y = -2.50 m; 66 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 10 kg sphere located at the origin due to the other spheres?
The masses and coordinates of three spheres are as follows: 24 kg, x = 1.50 m, y = 2.50 m; 30 kg, x = -1.75 m, y = -3.75 m; 70 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 28 kg sphere located at the origin due to the other spheres?
The masses and coordinates of three spheres are as follows: 12 kg, x = 0.50 m, y = 1.50 m; 48 kg, x = -1.75 m, y = -1.00 m; 50 kg, x = 0.00 m, y= -0.50 m. What is the magnitude of the gravitational force on a 28 kg sphere located at the origin due to the other spheres?
(hrw8c13p85) The masses and coordinates of three spheres are as follows: 12 kg, x = 0.75 m, y = 1.50 m; 38 kg, x = -3.00 m, y = -3.50 m; 52 kg, x = 0.00 m, y= -0.50 m. What is the magnitude of the gravitational force on a 20 kg sphere located at the origin due to the other spheres?
The masses and coordinates of three spheres are as follows: 10 kg, x = 2.00 m, y = 1.75 m; 32 kg, x = -1.50 m, y = -1.50 m; 60 kg, x = 0.00 m, y= -0.50 m. What is the magnitude of the gravitational force on a 10 kg sphere located at the origin due to the other spheres?
(hrw8c13p85) The masses and coordinates of three spheres are as follows: 12 kg, x = 0.25 m, y = 2.00 m; 30 kg, x = -1.00 m, y = -3.25 m; 56 kg, x = 0.00 m, y= -0.25 m. What is the magnitude of the gravitational force on a 26 kg sphere located at the origin due to the other spheres?
The masses and coordinates of three spheres are as follows. 10 kg, x = 0.60 m, y = 1.2 m 35 kg, x = −1.1 m, y = −1.1 m 65 kg, x = 0 m, y = −0.40 m What is the magnitude of the gravitational force on a 25 kg sphere located at the origin due to these three spheres? N
1A.The planet Uranus has a satellite, Ariel, which travels in an orbit of radius 1.910×108 m with a period of 2.52 days. Calculate the mass of Uranus from this information. 1B. The masses and coordinates of three spheres are as follows: 16 kg, x = 0.75 m, y = 2.00 m; 46 kg, x = -1.75 m, y = -1.50 m; 70 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a...
1) The planet Jupiter has a satellite, Io, which travels in an orbit of radius 4.220×108 m with a period of 1.77 days. Calculate the mass of Jupiter from this information. 2) The masses and coordinates of three spheres are as follows: 14 kg, x = 0.75 m, y = 1.50 m; 36 kg, x = -1.25 m, y = -3.00 m; 62 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on...