A vehicle is being driven on a distant planet, where the acceleration due to gravity is 7.22 m/s?. The mass of the vehicle is 2000.0 kg. The vehicle is driving over a hill with radius of curvature of 180.0 m. a. Determine the force of gravity (weight) acting on the vehicle. b. Determine the normal force acting on the vehicle by the planet's surface when the vehicle drives over the crest (top-most point) of the hill described above at 30.0 m/s. c. Given that the mass of the planet is 4.39 x 10- kg, use Newton's Law of Universal Gravitation to determine the radius of the planet.

A vehicle is being driven on a distant planet, where the acceleration due to gravity is 7.22 m/s?. The mass of the vehicle is 2000.0 kg. The vehicle is driving over a hill with radius of curvature of 180.0 m. a. Determine the force of gravity (weight) acting on the vehicle. b. Determine the normal force acting on the vehicle by the planet's surface when the vehicle drives over the crest (top-most point) of the hill described above at 30.0 m/s. c. Given that the mass of the planet is 4.39 x 10- kg, use Newton's Law of Universal Gravitation to determine the radius of the planet.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter10: Motion In A Noninertial Reference Frame

Section: Chapter Questions

Problem 10.20P: Calculate the effective gravitational field vector g at Earths surface at the poles and the equator....

See similar textbooks

Similar questions

Compute g for the surface of a planet whose radius is half that of the Earth and whose mass is double that of the Earth
Note: Because the arguments of the trigonometric functions are unitless in this question, your calculator must be in radian mode if you use it to evaluate any trigonometric functions. When powered up, a disk drive starts at rest and spins up with non-uniform angular acceleration according to the following formula: =asin(bt) where a = 708 radians/s2 and b = 1.74 s-1. This lasts for the first 1.81 seconds, after which the drive does not accelerate. How many meters of disk surface have passed underneath the head in 0.79 seconds?
Find the magnitude of the initia acceleration of a uniform sphere with mass .010kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at A and B.
Find the dimensional formula of the universal constant of gravitation G?
The gravitational force exerted by the earth on a unit massat a distance r from the center of the planet is where M is the mass of the earth,R is its radius, and G isthe gravitational constant. Is F a continuous function of r ?
A 2 kg mass is spun on a string in a horizontal circular path at a constant speed. Draw a FBD of the mass. If the radius of the path is 0.5 m and the period of revolution is 0.25 s, what is the speed of the mass? (Answer with 3 sig figs)
Let's compare the acceleration due to gravity at the surface of a Sun-like star to a white dwarf of similar mass. We know that the force of gravity comes from F= G*m_1*m_2/r^2 and that F = m * a from some of Newton's laws. As such, we know that the acceleration due to gravity is given by a_g = G*m/r^2. With that in mind, let's say that we have a white dwarf star is approximately the size of the Earth which is 1/100 radius of the Sun (0.01 R Sun) and that the white dwarf has a mass that is approximately half the mass of the Sun (0.5 M_Sun). What is the ratio of the acceleration due to gravity at the surface of the white dwarf star (aka the surface gravity) compared to the surface gravity of the Sun-like star (assume its mass is 1 M_sun and radius is 1 R_Sun).?
Can someone please explain it to me ASAP?!!! A binary star system consists of two stars, M1 = 3M and M2 = M whose centers separated by distance R and rotating about their mutual center of mass. Find the period of the orbital motion in terms of G, M, and R.
What is the speed of rotation of a planet the size and mass of the Earth, so that the object on the equator appears weightless? Find the periodic time of the planet in minutes. knowing that :
Consider a satellite in elliptical orbit around a planet of mass M, and suppose that physical units are so chosen that GM D 1 (where G is the gravitational constant). If the planet is located at the origin in the xy-plane, then Explain the equations of motion of the satellite? Let T denote the period of revolution of the satellite. Kepler’s third law says that the square of T is proportional to the cube of the major semiaxis a of its elliptical orbit. In particular, if GM D 1, then?
Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
A rotating disk was rotating at a certain speed and then suddenly started slowing down In what direction will the net acceleration be at point P?