Figure 13-28 shows three particles initially fixed in place, with B and C identical and positioned symmetrically about the y axis, at distance d from A. (a) In w hat direction is the net gravitational force F → n e t on A ? (b) If we move C directly away from the origin, does F → n e t change in direction? If so, how and what is the limit of the change? Figure 13-28 Question 9.
Figure 13-28 shows three particles initially fixed in place, with B and C identical and positioned symmetrically about the y axis, at distance d from A. (a) In w hat direction is the net gravitational force F → n e t on A ? (b) If we move C directly away from the origin, does F → n e t change in direction? If so, how and what is the limit of the change? Figure 13-28 Question 9.
Figure 13-28 shows three particles initially fixed in place, with B and C identical and positioned symmetrically about the y axis, at distance d from A. (a) In w hat direction is the net gravitational force
F
→
n
e
t
on A? (b) If we move C directly away from the origin, does
F
→
n
e
t
change in direction? If so, how and what is the limit of the change?
IIISuppose a large spherical object, such as a planet, with radius R and mass M has a narrow tunnel passing diametrically through it. A particle of mass m is inside the tunnel at a distance x less than or equal to R from thecenter. It can be shown that the net gravitational force on the particlei sdue entirely to the sphere of mass with radius r ≤ ;x there is no netgravitational force from the mass in the spherical shell with r > .x a. Find an expression for the gravitational force on the particle,assuming the object has uniform density. Your expression willbe in terms of ,x R, m, M, and any necessary constants.b. You should have found that the gravitational force is a linear restoring force. Consequently, in the absence ofair resistance, objects in the tunnel will oscillate with SHM. Suppose an in- trepid astronaut exploring a 150-km-diameter, 3.5 X 1 0 kgasteroid discovers a tunnel through the center. If she jumps into the hole, how long will ti take her to fall all the way…
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