ed: Calculate the gravitational force between the Earth and the Moon for an average distance of 385,000 km. Calculate the gravitational force between the Earth and the Sun, and the Earth and Jupiter.

An object of mass m is dropped from height h above a planet of mass M and radius R. Find an expression for the object's speed as it hits the ground. Express your answer in terms of the variables m, M, h, R, and gravitational constant G.

a) Observations and trigonometry can be used to determine that Earth's moon has an orbital period of 27.32 days and a mean orbital radius of 384,400 km. Using this information, calculate the mass of the Earth. 2 M = 47² ² 2 C M= 4+1 (30214100000) 667 e

Problem#2 Given: Newton’s Gravitational Law states that the force, F, between two bodies with masses m1 and m2, respectively, is given by: F=G(m1m2/r2) where G is the universal gravitational constant, and r is distance between the two bodies. Required: Calculate the gravitational force between two humans of mass 50 kg and 100 kg who are 2, 4, 6, 8, and 10 m

Three equal masses are located on a coordinate grid so that the masses and the origin form a square with side length e, as shown in the figure. Find the magnitude and direction of the gravitational field at the origin due to these masses. Find the magnitude of the gravitational field at the origin due to these masses. (Use the following as necessary: m, t, and G.) g= Find the direction of the gravitational field. (Give your answer in degrees counterclockwise from the +x-axis.) 1° counterclockwise from the +x-axis Need Help? Read It

PROBLEM LY 15. A spacecraft travels along the straight line connecting the earth and the sun. At what distance from earth will the gravitational forces of the earth and the sun be equal? Mass of earth = 5.9742 x 1024 kg Radius of earth = 6378 km %3! Mass of sun = 1.9891 x 1030 kg Distance between earth and sun = 149.6 x 10% km 0.249 x 106 km 0.259 x 106 km C. 0.269 x 10s km d. 0.279 x 10 km a. b.

QUESTION: 1.  Calculate the gravitational field strength g at a point 100 km from the surface of the Earth. (Earth's radius is 6.4 x 10^6 m and its mass is 6.0 x 10^24 kg) CHOICES: A. 9.1m/s^2 B. 8.7m/s^2 C. 9.3 m/s^2 D. 9.5 m/s^2

Two lead spheres are separated by 0.207 m, centre-to-centre. One sphere has a mass of 5.53 kg. The gravitational attraction between the spheres is 6.06x108N. What is the mass of the other sphere? Express your result in SI units but don't include the units in your answer.

Sphere A with mass 92 kg is located at the origin of an xy coordinate system; sphere B with mass 65 kg is located at coordinates (0.25 m, 0); sphere C with mass 0.50 kg is located at coordinates (0.19 m, 0.18 m). In unit-vector notation, what is the gravitational force on C due to A and B? Number i i+ i j Units eTextbook and Media

What is the magnitude of the gravitational acceleration at a height of two earth radius (2RE) above earth surface? Take gravitational acceleration near Earth surface as 9.81 m/s2. Express your answer in m/s2 and enter numerical value only, no units