Question

Objects with masses of 145 kg and a 445 kg are separated by 0.450 m.

(a) Find the net gravitational force exerted by these objects on a 39.0-kg object placed midway between them.

magnitude _________N direction

(b) At what position (other than infinitely remote ones) can the 39.0-kg object be placed so as to experience a net force of zero?

_____________m from the 445-kg mass

Answer #1

a) at the middle

distance between them , d = 0.450/2 = 0.225 m

net gravitational force = 6.673 *10^-11 * 39 * (445 - 145)/(0.225^2)

net gravitational force = 1.54 *10^-5 N

the net gravitational force is 1.54 *10^-5 N direction is towards 445 Kg

b)

let the distance from 445 kg is x

for the net force to be zero

G * 39 * 145/(0.45 - x)^2 = G * 39 * 445/x^2

145/(0.45 - x)^2 = 445/x^2

solving for x

x = 0.286 m

the position of third mass must be 0.286 m from 445 Kg mass

Objects with masses of 245 kg and
a 545 kg are separated by 0.480 m.
(a) Find the net gravitational force exerted by these objects on
a 60.0-kg object placed midway between them.
Magnitude: ___________
Direction: (Toward the 545- kg mass)
(b) At what position (other than infinitely remote ones) can the
60.0-kg object be placed so as to experience a net force of
zero?
: _____________m from the 545-kg mass

Objects with masses of 240 kg and a 540 kg are separated by
0.500 m.
(a)
Find the net gravitational force exerted by these objects on a
69.0 kg object placed midway between them.
magnitude N
direction ---Select--- toward the 240 kg mass/ toward the 540 kg
mass /The magnitude is zero.
(b)
At what position (other than infinitely remote ones) can the
69.0 kg object be placed so as to experience a net force of
zero?
m from the...

Objects with masses of 225 kg and a 525 kg are separated by
0.410 m.
(a) Find the net gravitational force exerted by these objects on
a 57.0 kg object placed midway between them.
magnitude _____ N
direction ---Select--- (toward the 225 kg mass toward the 525 kg
mass The magnitude is zero.)
(b) At what position (other than infinitely remote ones) can the
57.0 kg object be placed so as to experience a net force of
zero?
______m from...

Objects with masses of 285 kg and a 585 kg are separated by
0.480 m. (a) Find the net gravitational force exerted by these
objects on a 68.0-kg object placed midway between them. magnitude N
direction Correct: Your answer is correct. (b) At what position
(other than infinitely remote ones) can the 68.0-kg object be
placed so as to experience a net force of zero? m from the 585-kg
mass

Objects with masses of 260 kg and a 560 kg are separated by
0.370 m.
(a) Find the net gravitational force exerted by these objects on
a 45.0 kg object placed midway between them.
magnitude N
(b) At what position (other than infinitely remote ones) can the
45.0 kg object be placed so as to experience a net force of
zero?
m from the 560 kg mass

Objects with masses of 170 kg and a 470 kg are separated by
0.380 m.
(a)Find the net gravitational force exerted by these objects on
a 45.0 kg object placed midway between them.
magnitude?
(b) At what position (other than infinitely remote ones) can the
45.0 kg object be placed so as to experience a net force of
zero?
_____m from the 470 kg mass

Objects with masses of 170 kg and a 470 kg are separated by
0.440 m.
(a) Find the net gravitational force exerted by these objects on
a 34.0 kg object placed midway between them. ____N
(b) At what position (other than infinitely remote ones) can the
34.0 kg object be placed so as to experience a net force of zero?
––––– m from the 470 kg mass

Objects with masses of 295 kg and a 595 kg are separated by
0.360 m. (a) Find the net gravitational force exerted by these
objects on a 68.0 kg object placed midway between them. magnitude
Incorrect: Your answer is incorrect. Your response differs from the
correct answer by more than 10%. Double check your calculations. N
direction Correct: Your answer is correct. (b) At what position
(other than infinitely remote ones) can the 68.0 kg object be
placed so as...

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(a) Find the magnitude of the net gravitational force exerted by
these objects on a 44.0-kg object placed midway between them.
___N
(b) At what position (other than an infinitely remote one) can the
44.0-kg object be placed so as to experience a net force of zero
from the other two objects?
___m from the 595 kg mass toward the 295 kg mass

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(a) Find the magnitude of the net gravitational force exerted by
these objects on a 46.0-kg object placed midway between them.
N
(b) At what position (other than an infinitely remote one) can the
46.0-kg object be placed so as to experience a net force of zero
from the other two objects?
m from the 575 kg mass toward the 275 kg mass

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