The radius of Earth is 6.4 x 106 m. Its orbital radius around the Sun is 1.5 x 10¹¹ m. The masses of Earth and the Sun, respectively, are 6 x 1024 kg and 2 x 1030 kg. What is the magnitude of the gravitational force of attraction between Earth and the Sun?

A bowling ball (mass = 7.4 kg, radius = 0.11 m) and a billiard ball (mass = 0.37 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?

Three lead balls of mass m₁ = 14 kg, m₂ = 27 kg, and m3 = 9.7 kg are arranged as shown in the figure below. Find the total gravitational force exerted by balls 1 and 2 on ball 3. Be sure to give the magnitude and the direction of this force. N magnitude direction ° counterclockwise from the +x-axis y (m) 4 m1 3 L- 2+ m₂ 1 0 2 3. 4 5 M3 -x-(m)

Every few months, memes circulate claiming that certain alignments of the planets with the Earth will result in a change in the gravitational force you feel. Usually these memes state that the alignment will counteract Earth's gravity slightly so you will feel less of a gravitational pull towards the Earth. Can this ever happen? Let's look at the numbers. What is the gravitational force (in N) of the Earth on you (MĚ = 5.97 × 1024 kg, R₁ = 6380 km)? Say your mass is 64 kg. (Enter the magnitude.) What is the gravitational force (in N) of Jupiter on you when it is closest to Earth (M₁ = 1.90 × 1027 kg, R₁ = 5.88 × 108 km)? (Enter the magnitude.) By what factor would the mass of Jupiter need to increase to be equal to the gravitational force you feel from the Earth? Part 1 of 5 The gravitational force between two masses is given by -GMm r² where G = 6.67 x 10-11 m³/s²/kg. FgE Part 2 of 5 We can use this expression to determine the magnitude of the gravitational force you feel while on the…

The International Space Station (ISS) completes one orbit of Earth in 92 minutes.  What is the radius of the orbit in kilometers (km)?    You may assume the orbit is circular.  The mass of the ISS is 420 kg, and the mass of the Earth is 6.0×10246.0×1024kg.  Newton’s gravitational constant is 6.7×10−11N⋅m2kg26.7×10−11kg2N⋅m2​.

You encounter a strange cosmic string in outer space.  The string extends along the x axis from x = 0 m to x = 4.6 x 104 m.  You are located at x = -5.4 x 104 m.  You experience a gravitational field equal to 9.6 x 10-6 N/kg at this location.  Assuming the string has a constant linear mass density, calculate this linear mass density, in units of 105kg/m.  Use G = 6.7 x 10-11 N m2/ kg2. (Please answer to the fourth decimal place - i.e 14.3225)

Some people believe that the Moon controls their activities. The Moon moves from being directly on the opposite side of Earth from you to be being directly overhead. Assume that the Earth-Moon (center-to- center) distance is 3.82 x 108 m and Earth's radius is 6.37 x 106 m. (a) By what percent does the Moon's gravitational pull on you increase? % (b) By what percent does your weight (as measured on a scale) decrease? %

The ratio of the gravitational field at an altitude 2 RF above the Earth's surface (R = the radius of the Earth) to the field at the Earth's surface is 1/9 1/3 9

The Lunar reconnaissance orbiter (LRO) is currently in orbit around the moon on an exploration mission to map its surface.  If it has a mass of 1820 kg and is orbiting at an elevation of 65.0 km from the surface, what is the gravitational force acting on the LRO due to the moon?  The moon has a mass of 7.348 x 1022 kg and a radius of 1738 km. {G = 6.674 x 10-11 N⋅ m2/kg2}

During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99 × 10³0 kg, 5.98 × 1024 kg, and 7.36 × 1022 kg, respectively. The Moon's mean distance from Earth is 3.84 × 108 m, and Earth's mean distance from the Sun is 1.50 × 10¹¹ m. The gravitational constant is G = 6.67 × 10-¹1 N-m²/kg². Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. F = What is the direction of this force? toward Earth toward Venus toward the Sun elsewhere N