The following question is referring to the concept of Newton’s Law of Gravitation on inferring gravitational force, weight, and acceleration due to gravity and Physical significance of gravitational field. Solve for the unknown quantities and round-off your final answers in the nearest hundredths. 1. Planet A and Planet B have a mass of 4 x 1024 kg and 4.5 x 1025 kg. The gravitational force between the two planets is 4.8 x 1020. How apart is Planet A from Planet B? with step by step explanation.

The following question is referring to the concept of Newton’s Law of Gravitation on inferring gravitational force, weight, and acceleration due to gravity and Physical significance of gravitational field. Solve for the unknown quantities and round-off your final answers in the nearest hundredths. 1. Planet A and Planet B have a mass of 4 x 1024 kg and 4.5 x 1025 kg. The gravitational force between the two planets is 4.8 x 1020. How apart is Planet A from Planet B? with step by step explanation.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 64PQ

See similar textbooks

Similar questions

Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
For the following questions, start your analyses by considering at least Newton's Law of Gravitation, centripetal acceleration, Kepler's law or Energy Conservation. Take the Gravitational constant to be a. From Earth we can measure the radius of Mars using our telescopes. An estimate for it is 3.39 x 106 m. By sending an exploratory robot to Mars, we determined the acceleration due to gravity on its surface as 3.73 m/s?. Estimate the mass of Mars. b. The Earth revolves around the Sun once a year at a distance of 1.50 x 1011 m. Estimate the mass of the Sun. c. A rocket is launched straight up from Earth's surface at 2100 m/s. By ignoring air resistance, determine the maximum height it reaches?
a. Calculate the gravitational force of attraction between the Earth and the Sun if the Sunhas a mass of 1.989 x 1030 kg and is a distance of 149.6 million kilometres from theEarth. b. How would you expect the gravitational force between you and your friend tocompare to your answer from question 1 if you stood 1 metre apart? Explain.
a) 0) State Newton's law of gravitation. Give the meaning of any symbol you use. (1) Define gravitational field strength. (iii) Use your answers to (i) and (ii) to show that the iaagnitude of the gravitational field strength at the Earth's surface is GM R where Mis the mass of the Earth, R is the radius of the Earth and G is the gravitational constant.
Answer the two questions below and write the solution. a. An astronaut is tasked to compute the gravitational acceleration of planet Z. After landing, he dropped a test object from a height of 2 meters and the time duration of the drop was 1 second. What is the gravity of planet Z in m/s^2? b. If the astronaut jumped upward with an initial velocity of 8m/s, how high is the jump? in meters
In 1993 the Galileo spacecraft sent home an image of asteroid "243 Ida" and a tiny moon "Dactyl" orbiting the asteroid. Assume that the small moon orbits in a circle with a radius of r = 100 km from the center of the asteroid with an orbital period of T = 27 hours. a. Show and explain how we derived Kepler's 3rd law using Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force. b. Use your result for Kepler's 3rd Law to determine the mass of the asteroid. c. If the asteroid has a radius of about 16 km calculate the approximate value for the acceleration due to gravity, g, on its surface. d. What velocity would you need to achieve in order to lift off and leave this asteroid? e. Use Newton's 2nd Law, the definition for centripetal acceleration, and the equation for gravitational force to determine an expression for circular orbital velocity. f. What is the orbital velocity of the small moon if we assume it is in a circular orbit?
A) When one object is orbiting a much larger object, the period of the orbit (T) is related to the semi‐major axis (r) by the general form of Kepler’s 3rd Law. Write this general form in the space below: B) What units must the period be in if we want to calculate the semi-major radius in meters? Note that G = 6.67 x 10-11 N m2/kg2. Complete problems using Kepler’s 3rd law as you wrote it down above:
an object on earth's surface is about 782 km from its center and has a gravitational force of 84 units. Solve the following. a. At twice the distance, what is the gravitational force? b. At half the distance, what is the gravitational force?
The planet Pluto has an equatorial diameter of 1,188.3 km and its mass is 1.30900 * 1022 kilograms. If the planet is modeled as a homogeneous sphere, what is the acceleration due to gravity at its surface? (The universal gravitational constant is G = 6.67 x 10-11 N-m²/kg?.) Answer in 3 decimals and in m/s2
Three 10 kg masses are located at distances d1=0.25 m and d2=0.35 m. What are... a. The magnitude and direction of the net gravitational force on A due to both B and C? b. Write the net gravitational force in unit vector notation. c. At what position would you put a 20 kg mass if you wanted the net force on A to be zero, all other masses and positions remaining the same?
Given the diagram determine the direction and then the magnitude of the net gravitational force on "m." (Both M's have the same mass). Draw a coordinate system centered on the little mass and make a freebody diagram. (You can follow the steps for finding components and summing forces). Just in case it is hard to read, the angles are 40 degrees and 30 degrees. r1 = 500 million meters r2 = 600 million meters m = 7x1022 kg M= 2x1027 kg
r r M M 1. What is the gravitational potential energy of the mass (m) in the picture? The mass is the same distance away r from the centers of both of the other masses, and both of the other masses have the same mass, M. Give your answer in Joules. r = 400 million meters m = 7x1022 kg м- 2х1027 kg 2. What is the net gravitational force for the mass m at this location? Give your answer in Newtons.