Ceres is a dwarf planet located in the asteroid belt between the orbits of Mars and Jupiter. The radius of Ceres is 4.76 X 105 m. Suppose an astronaut stands on the surface of Ceres and drops a 0.85 kg hammer from a height of 1.25 m. The hammer takes 3.0 s to reach the ground. (a) Calculate the gravitational field strength on the surface of Ceres. (b) Calculate the mass of Ceres. (c) Calculate the escape velocity from the surface of Ceres.

Ceres is a dwarf planet located in the asteroid belt between the orbits of Mars and Jupiter. The radius of Ceres is 4.76 X 105 m. Suppose an astronaut stands on the surface of Ceres and drops a 0.85 kg hammer from a height of 1.25 m. The hammer takes 3.0 s to reach the ground. (a) Calculate the gravitational field strength on the surface of Ceres. (b) Calculate the mass of Ceres. (c) Calculate the escape velocity from the surface of Ceres.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 58PQ: A satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths...

See similar textbooks

Similar questions

Instead of moving back and forth, a conical pendulum moves in a circle at constant speed as its string traces out a cone (Fig. P6.68). One such pendulum is constructed with a string of length L = 12.0cm and bob of mass 0.210 kg. The string makes an angle = 7.00 with the vertical, a. What is the radial acceleration of the bob? b. What are the horizontal and vertical components of the tension force exerted by the string on the bob?
A satellite of mass 16.7 kg in geosynchronous orbit at an altitude of 3.58 104 km above the Earths surface remains above the same spot on the Earth. Assume its orbit is circular. Find the magnitude of the gravitational force exerted by the Earth on the satellite. Hint: The answer is not 163 N.
The 4 lblb particle is subjected to the action of its weight and forces F1={2i+6j−2tk}lb, F2={t2i−4tj−1k}lb , and F3={−2ti}lb, where t is in seconds. Determine the distance the ball is from the origin 4 ss after being released from rest.
A man has a mass of 75 kg on the Earths surface. How far above the earths surface does he have to go to "lose" 10 % of his body weight?
On Mars, a ball is rolling from a ground to a hill, and we know the height of the hill, Z, is 10 m, and the initial velocity ofthe ball on the ground and the final velocity on the hill are known: V1 = 20 m/s and V2 = 10 m/s, respectively. The mass ofthe ball, m, is 4 kg. The gravitational acceleration on Mars, gMars, is 3.7 m/s2. Please calculate 1) the change in kineticenergy, ΔKE, in J and 2) the change in potential energy, ΔPE, in J, of the ball for the rolling process.
The coordinates of two objects with masses m1= 1 g., and m2= 2 g. moving in the xy-plane are given by x1(t)=t2-6t y1(t)=-3t x2(t)=t-8 y2(t)=-2t where x1, x2, y1, and y2 are in meters and t in seconds. Calculate the gravitational force due to these objects at the instant that the velocity of the first object perpendicular to its acceleration.
For a body at a height of 200m, what is the body's velocity when it reaches the earth's surface and the mass of the body is 25kg
Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 7.6-kg projectile from rest to a speed of 5.1 × 103 m/s. The net force accelerating the projectile is 6.4 × 105 N. How much time is required for the projectile to come up to speed?
The weight of bodies may change somewhat from one location to another because of the variation of the gravitational acceleration g with elevation. Accounting this variation using g = a – bz, where a = 9.81 m/s^2 and b = 3.32 x 10^-6 s^-2 and z in m. Determine the weight of an 80-kg person at sea level (z = 0 m), in Denver (z = 1610 m) and on top of Mt. Everest (z = 8848 m)
An asteroid has a mass of m = 8.5 × 1012 kg and also has two rocket thrusters attached to it. One thruster supplies a force with x- and y- componentsF 1 = (8.0 × 107, 7.0 × 107) N while the other supplies a force with x- and y-components F 2 = (4.0 × 107, −2.0 × 107) N. (You may ignore the mass of the rocket thrusters and their fuel.)- What is the magnitude of the resultant force and in which direction does it act?
G = 6.67 ×10−11 m3/kg/s2.When Jupiter is on the same side of the Sun as the Earth the distance between the Earth and Jupiter can be as small as 6.30 × 1011 meters. Knowing this, what is the max- imum force of gravity due to Jupiter on a 52.0 kg ASTR 110 student standing on the equator during Spring Break. DATA: Mass of Jupiter = 1.90 × 1027 kg
A lunar excursion module weighs weights 14.7 KN on earth where g-9.75 m/s². What will be its weight on the surface of the moon where gm=1.7 m/s². On the surface of the moon, what will be the force required to accelerate the module at 10m/s²?