At their closest approach, Venus and Earth are 4.20 × 1010 m apart. The mass of Venus is 4.87 × 1024 kg, the mass of Earth is 5.97 × 1024 kg, and G = 6.67 x 10-11 N·m2/kg2. What is the force exerted by Venus on Earth at that point?

Find the magnitude of the gravitational force (in N) between a planet with mass 7.25 ✕ 1024 kg and its moon, with mass 2.50 ✕ 1022 kg, if the average distance between their centers is 2.90 ✕ 108 m.  N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.)  m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.)  m/s2

In the book 2010: Odyssey Two, Chinese astronauts land on Europa, one of Jupiters Moons. Suppose one of these astronauts on Europa drops a tool 2 m above the ground. How long will it take for it to hit the ground?  MEuropa = 4.7998×1022 kg, REuropa = 1.561×106

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)

An astronaut is doing a spacewalk on a long tether at 0.1 km away from the International Space Station (mass of 420,000 kg). His spacesuit includes a very sensitive gravitometer, which indicates the gravitational force acting on the astronaut and his spacesuit from the ISS is 7.0 E−7 N. What is the mass of the astronaut in his suit if G = 6.67 E−11 N*m2/kg2? 1. 150 kg 2.  200 kg 3. 250 kg 4. 300 kg

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

The separation distance between two 1.0 kg masses is changed. How is the mutual gravitational force affected in each case? (Assume F2 represents the new force and F1 represents the original force.) (a) The separation distance is two-fifths the original distance.F2 / F1 =  (b) The separation distance is 8 times the original distance.F2 / F1 =

Antiballistic missiles (ABMs) are designed to have very large accelerations so that they may intercept fast-moving incoming missiles in the short time available. What is the takeoff acceleration (in m/s2) of a 10,000 kg ABM that expels 225 kg of gas per second at an exhaust velocity of 2.65 ✕ 103 m/s? (Enter the magnitude.)

The separation distance between two 1.0 kg masses is changed. How is the mutual gravitational force affected in each case? (Assume F2 represents the new force and F1 represents the original force.) (a) The separation distance is three-fourths the original distance.F2 / F1 = (b) The separation distance is 7 times the original distance.F2 / F1 =

A planet of mass 8 × 1024 kg is at location ‹ −5 × 1011, 8 × 1011, 0 › m. A star of mass 9 × 1030 kg is at location ‹ 4 × 1011, −6 × 1011, 0 › m. What is the force exerted on the planet by the star? (It will probably be helpful to draw a diagram, including the relevant vectors.)