You are on a deep space mission to search for Earth-like planets. Your crew locates a possible planet and with scanners find the radius to be 7.5 x 106 m. A team lands on the surface. There, they hang a 1.0 kg mass from a spring scale. It reads 8.5 N. a) Determine the mass of the planet using Newton’s Law of Universal Gravitation. b) Describe whether an astronaut standing on this new planet weighs more, less, or the same as on Earth. Show your work.

Question 1 The Oort Cloud extends out to (possibly) one light- year from the sun. Objects in the Oort Cloud are still gravitationally bound to the sun. Suppose one such iceball orbits the sun in a circle. I'm going to alter some numbers, such as the mass of the sun and even G. The gravitational force is directed toward the sun and has the following magnitude: GMm p2 Calculate the force on the object if these are the numbers: G = 5.1*10-11 N*m?/kg² • M = 2.4*1030 kg • m = 1.0*10® kg r = 7*1015 m Calculate your answer in microNewtons (10-6 N).

Q17 What is the magnitude of the gravitational force acting on a 3.50 x 10³ kg satellite orbiting a planet when the satellite's orbital radius is 9.17 x 106 m and the satellite's orbital period is 1.5 hours? (A) 4.34 x 104 N (B) 5.63 x 10"N (C) 4.07 N (D) 1.24 x 104 N

What is the difference between mass and weight?

1. Gravity: a. What is the magnitude and direction of the gravitational force that the Earth exerts on you in Sl units? Make a reasonable numerical estimate and include units. b. The SI unit of force is a newton. What is a newton in terms of the more basic units, kilograms (kg), meters (m), and seconds (sec)? What is the magnitude and direction of the gravitational force that you exert on the Earth? Consider your answer to part a. 2. Contact Forces¹: Besides gravity, nearly all other forces we will encounter in this course are contact forces, which means that the two objects must be touching for the objects to exert forces on each other. Normal Force: When a surface is touching an object, the surface exerts a force on the object that is perpendicular to the surface and pushes into the object. This is called a "normal" force (normal means perpendicular in math). The harder the surfaces press against each other, the larger the normal force.²

Two objects attract each other gravitationally with a force of 2.5×10-10 N when they are 0.65 m apart. Their total mass is 4.4 kg. Part A Find their individual masses. Express your answers using one decimal place separated by a comma. m₁. m₂ = Submit Provide Feedback IVE ΑΣΦ Request Answer kg

Task 1: Gravitational Fields 1. A person with a mass of 60 kg is inside a rocket that is moving straight up, away from the earth's surface. The radius of the earth is 6.38 x 105 m and the mass of the earth is 5.98 x 1024 kg. a. Find the force of gravity acting on the person at an altitude of 300 000 m. b. Find the altitude that will cause the person's weight to drop to one-quarter of its value on the earth's surface. 2. Mass 1 is four times as large as mass 2. Both masses are at rest and are separated by 200 m. Where could you place a third mass, mass 3, if the net force on 3 must be zero?

Sally and Sam are in a spaceship that comes to within 14,000 km of the asteroid Ceres. Determine the force Sally experiences due to the presence of the asteroid. The mass of the asteroid is 8.7 x 1020 kg and the mass of Sally is 79 kg. For calculation purposes assume the two objects to be point masses. N

The mass of the Sun is 2 × 10³⁰0 kg, and the mass of Mercury is 3.3 × 10²³ kg. The distance from the center of mass of the Sun to the center of mass of Mercury is 4.8 x 10¹⁰ m. a. Calculate the magnitude of the gravitational force exerted by the Sun on Mercury. b. What is the magnitude of the gravitational force exerted by Mercury on the Sun?

problem 3