S Imagine that we drill a hole through the center of the earth as shown and drop a small ball down the hole from point N with zero initial velocity. Assuming that the earth's density is uniform, which statement below regarding the motion of this ball is correct? (Consider the fraction of the Earth's mass that contributes to the gravitational force) (cdq2101) a) OThe ball moves from N to S with a constant velocity. b) OThe velocity of the ball keeps increasing from N to S. c) OThe ball moves to the center position O and remains there. d) OThe ball oscillates between N and S. e) ONone of the above.

S Imagine that we drill a hole through the center of the earth as shown and drop a small ball down the hole from point N with zero initial velocity. Assuming that the earth's density is uniform, which statement below regarding the motion of this ball is correct? (Consider the fraction of the Earth's mass that contributes to the gravitational force) (cdq2101) a) OThe ball moves from N to S with a constant velocity. b) OThe velocity of the ball keeps increasing from N to S. c) OThe ball moves to the center position O and remains there. d) OThe ball oscillates between N and S. e) ONone of the above.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

i am stumped here
A bead of mass m slides without friction along a curved wire with shape z = f(r) where r = Vr2 + y², i.e. the distance from the z-axis. The wire is rotated around the z-axis at a constant angular velocity w. Gravity acts downward along the z-axis with a constant acceleration g. a) Using Newton's second law in an inertial frame, derive an expression for radius ro of a fixed circular orbit (i.e. a solution with r = ro = const.). What is the normal force the wire applies to the bead to keep it in a circular orbit? b) Show that the equation of motion for r(t) (general equation not the circular motion) is F(1 + f'(r)²) + i² f'(r)f"(r) + gf'(r) – w?r = 0. Using this verify your answer to part (a). c) Consider small displacements from the circular orbit, r = ro+e(t). Derive a condition on the function f(r) such that a circular orbit at r = ro is stable. d) Find the force on the bead in the o direction, i.e. perpendicular to the plane of wire. The angular velocity is w = . Obtain the answer…
2. Integrate the equations of motion for a spherical pendulum, i.e., a particle of mass m moving on the surface of a sphere of radius / in a gravitational field, with Lagrangian L = ml² -(0² + psin² 0) + mglcos 0. 2 Hint: Merely set up the integrals, do not evaluate them. You should obtain two integrals w.r.t. de: one determining t and another determining p. Express the first integral in terms of E,Ueff, m, and l. Express the second integral in terms of E,U eff, m, l, and M₂.
a X 4 es/497787/take Computation. KATE 0 = Va A plane, climbing at an angle of 25.5° above the horizon at 57.3 m/s, temporarily stalls for 2.1 seconds. Assume the plane is in freefall during the stall. W Find the angle of the plane's velocity above the horizon after the stall. Enter a negative value if the angle is below the horizon. Record your numerical answer below, assuming three significant figures.
A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.
while visitin a winery, you observe wine shooting out of a hole at the bottom of a barrel. The hole is .8 m below the top surface of wine. Determine speed of wine leaving barrel's hole. What would happen if there was a sealed lid on top of barrel? Why?
The free-fall acceleration on the surface of Jupiter is about two and one half times that on the surface of the Earth. The radius of Jupiter is about 11.0 RE (RE = Earth's radius = 6.4 106 m). Find the ratio of their average densities, ?Jupiter/?Earth.
Verify Kepler’s Laws of Planetary Motion. Assume that each planet moves in an orbit given by the vectorvalued function r. Let r = || r||, let G represent the universal gravitational constant, let M represent the mass of the sun, and let m represent the mass of the planet.
In introductory physics laboratories, a typical Cavendish balance for measuring the gravitational constant G uses lead spheres with masses of 2.10 kg and 21.0 g whose centers are separated by about 3.60 cm. Calculate the gravitational force between these spheres, treating each as a particle located at the center of the sphere. N