Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

three identical asteroids of 500kg each are drifting on same plane. one asteroid

ID: 2112918 • Letter: T

Question

three identical asteroids of 500kg each are drifting on same plane. one asteroid is at the origin, another asteroid I has the coordinates (-140m,0m) and another asteroid II has the coordinates (0m,-50m).


what ist he magnitude of the gravitational force on the asteroid at the origin , due to asteroid I? let the graviational constant be G=6.67x10^-11

A. 6.67x10-5

B. 8.51X10^-6

C. 5.96x10^-7

D. 6.72x10^-5

E. -65.7x10^-5.


what is the magnitude of the net graviational force on the asteroid at the origin , due to other two asteroids, I&II?

A. 6.72x10^-5

B. 5.96x10^-7

C. 5.96x10^-5

D. 9.22x10^-6

E. -65.7x10^-5


what is the direction of the net graviational force on asteroid at the origin?

A. 74.6 degrees from -x-axis or -15.4degrees from -y axis

B. 89.5 degrees from -x-axis or -0.5degrees frmo the -y-axis

C. 82.7degrees from the -xaxis or-7.3degrees from the -yaxis

D. 12.2degrees from -xaxis or -77.8degrees from the -yaxis

E. none of these


Explanation / Answer

1)

from F1=Gm1m2/r^2 =6.67*10^-11x500x500/(140)^2 =8.51X10^-6 N

B. 8.51X10^-10 N

2)force on osteroid at origin due to asteroid II

F2=6.67x10^-11x500x500/(50)^2 =6.67x10^-9 N

resultant of F1 and F2 that is

the magnitude of the net graviational force on the asteroid at the origin , due to other two asteroids, I&II

F=(F1^2+F2^2)^0.5 =6.72 x10^-9 N

3)

C. 82.7degrees from the -xaxis or-7.3degrees from the -yaxis