College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 8, Problem 6PE
The mass of Earth is
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The mass of Venus is 4.868 ✕ 1024 kg and its orbital radius is an average of 1.082 ✕ 1011 m. Calculate its linear momentum. (The orbital period of Venus is 0.6150 years. Enter your answer in kg · m/s.)
A rotating star collapses under the influence of gravitational forces to form a pulsar. The radius of the pulsar is 5.00 × 10−4 times the radius of the star before collapse. There is no change in mass. In both cases, the mass of the star is uniformly distributed in a spherical shape.
If the period of the star’s rotation before collapse is 4.00 × 104 s, what is its period after collapse?
Find the angular momentum (in kg · m2/s) of Saturn in its orbit around the Sun.
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Compare this angular momentum with the angular momentum of Saturn on its axis.
- The radius of Saturn is 6.027 ✕ 104 km and the rotation period is 10.66 h.
Chapter 8 Solutions
College Physics
Ch. 8 - An object that has a small mass and an object that...Ch. 8 - An object that has a small mass and an object that...Ch. 8 - Professional Application Football coaches advise...Ch. 8 - How can a small force impart the same momentum to...Ch. 8 - Professional Application Explain in terms of...Ch. 8 - While jumping on a trampoline, sometimes you land...Ch. 8 - Professional Application Tennis racquets have...Ch. 8 - Professional Application If you dive into water,...Ch. 8 - Under what circumstances is momentum conserved?Ch. 8 - Can momentum be conserved for a system if there...
Ch. 8 - Momentum for a system can be conserved in one...Ch. 8 - Professional Application Explain in terms of...Ch. 8 - Can objects in a system have momentum while the...Ch. 8 - Must the total energy of a system be conserved...Ch. 8 - What is an elastic collision?Ch. 8 - What is an inelastic collision? What is a...Ch. 8 - Mixed-pair ice skaters performing in a show are...Ch. 8 - A Small pickup truck that has a caliper shell...Ch. 8 - Figure 8.16 shows a cube at rest and a small...Ch. 8 - Professional Application Suppose a fireworks shell...Ch. 8 - Professional Application During a visit to the...Ch. 8 - Professional Application It is possible for the...Ch. 8 - (a) Calculate the momentum of a 2000-kg elephant...Ch. 8 - (a) What is the mass of a large ship that has a...Ch. 8 - (a) At what speed would a 2.00104 -kg airplane...Ch. 8 - (a) What is the momentum of a garbage truck that...Ch. 8 - A runaway train car that has a mass of 15,000 kg...Ch. 8 - The mass of Earth is 5.9721024 kg and its orbital...Ch. 8 - A bullet is accelerated down the barrel of a gun...Ch. 8 - Professional Application A car moving at 10 m/s...Ch. 8 - A person slaps her leg with her hand, bringing her...Ch. 8 - Professional Application A professional boxer hits...Ch. 8 - Professional Application Suppose a child drives a...Ch. 8 - Professional Application One hazard of space...Ch. 8 - Professional Application A 75.0-kg person is...Ch. 8 - Professional Application Military rifles have a...Ch. 8 - A cruise ship with a mass of 1.00107 kg strikes a...Ch. 8 - Calculate the final speed of a 110-kg rugby player...Ch. 8 - Water from a fire hose is directed horizontally...Ch. 8 - A 0.450-kg hammer is moving horizontally at 7.00...Ch. 8 - Starting with the definitions of momentum and...Ch. 8 - A ball with an initial velocity of 10 m/s moves at...Ch. 8 - When serving a tennis ball, a player hits the ball...Ch. 8 - A punter drops a ball from rest vertically 1 meter...Ch. 8 - Professional Application Train cars are coupled...Ch. 8 - Suppose a clay model of a koala bear has a mass of...Ch. 8 - Professional Application Consider the following...Ch. 8 - What is the velocity of a 900-kg car initially...Ch. 8 - A 1.80-kg falcon catches a 0.650-kg dove from...Ch. 8 - Two identical objects (such as billiard balls)...Ch. 8 - Professional Application Two manned satellites...Ch. 8 - A 70.0-kg ice hockey goalie, originally at rest,...Ch. 8 - A 0.240-kg billiard ball that is moving at 3.00...Ch. 8 - During an ice show, a 60.0-kg skater leaps into...Ch. 8 - Professional Application Using mass and speed data...Ch. 8 - A battleship that is 6.00*10' kg and is originally...Ch. 8 - Professional Application Two manned satellites...Ch. 8 - Professional Application A 30,000-kg freight car...Ch. 8 - Professional Application Space probes may be...Ch. 8 - A 0.0250-kg bullet is accelerated from rest to a...Ch. 8 - Professional Application One of the waste products...Ch. 8 - Professional Application The Moon's craters are...Ch. 8 - Professional Application Two football players...Ch. 8 - What is the speed of a garbage truck that is...Ch. 8 - During a circus act, an elderly performer thrills...Ch. 8 - (a) During an ice skating performance, an...Ch. 8 - Two identical pucks collide on an air hockey...Ch. 8 - Confirm that the results of the example Example...Ch. 8 - A 3000-kg cannon is mounted so that it can recoil...Ch. 8 - Professional Application A 5.50-kg bowling ball...Ch. 8 - Professional Application Ernest Rutherford (the...Ch. 8 - Professional Application Two cars collide at an...Ch. 8 - Starting with equations m1v1=m1v1cos1+m2v2cos2 and...Ch. 8 - Integrated Concepts A 90.0-kg ice hockey player...Ch. 8 - Professional Application Antiballistic missiles...Ch. 8 - Professional Application What is the acceleration...Ch. 8 - Professional Application Calculate the increase in...Ch. 8 - Professional Application Ion-propulsion rockets...Ch. 8 - Derive the equation for the vertical acceleration...Ch. 8 - Professional Application (a) Calculate the maximum...Ch. 8 - Given the following data for a fire...Ch. 8 - How much of a single-stage rocket that is 100,000...Ch. 8 - Professional Application (a) A 5.00-kg squid...Ch. 8 - Unreasonable Results Squids have been reported to...Ch. 8 - Construct Your Own Problem Consider an astronaut...Ch. 8 - Construct Your Own Problem Consider an artillery...
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- A bird flies overhead from where you stand at an altitude of 300.0 m and at a speed horizontal to the ground of 20.0 m/s. The bird has a mass of 2.0 kg. The radius vector to the bird makes an angle with respect to the ground. The radius vector to the bird and its momentum vector lie in the xy-plane. What is the bird’s angular momentum about the point where you are standing?arrow_forwardA satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius 2.0 m and mass 10,000 kg, and two antennas projecting out from the center of mass of the main body that can be approximated with rods of length 3.0 m each and mass 10 kg. The antenna’s lie in the plane of rotation. What is the angular momentum of the satellite?arrow_forwardThe velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?arrow_forward
- A space probe is fired as a projectile from the Earths surface with an initial speed of 2.00 104 m/s. What will its speed be when it is very far from the Earth? Ignore atmospheric friction and the rotation of the Earth. P11.26 Ki+Ui=Kf+Uf12mvi2+GMEm(1rf1ri)=12mvf212vi2+GME(01RE)=12vf2orvf2=v122GMEREandvf=(v122GMERE)1/2,vf=[(2.00104)21.25108]1/2m/s=1.66104m/sarrow_forwardAngular momentum is conserved in the absence of which of the following? (3.7) (a) inertia (b) gravity (c) a net torque (d) linear momentumarrow_forwardTwo stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.arrow_forward
- A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at distance R1 = 2.9×107 m from the center of the planet. The radius of the planet is R = 0.46×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the. Calculate the value of v in meters per second.arrow_forwardThe centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?arrow_forwardDuring 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 x 1030 kg, 5.98 × 1024 kg, and 7.36 x 1022 kg, respectively. The Moon's mean distance from Earth is 3.84 × 10 m, and Earth's mean distance from the Sun is 1.50 × 10'" is G = 6.67 x 10-1' N•m²/kg². m. The gravitational constant Find the magnitude F of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. 2.6 x1045 F = N Incorrectarrow_forward
- A 1500-kg satellite orbits a planet in a circular orbit of radius 6.2 × 106 m from the center of the planet. What is the angular momentum, in kg m2/s, of the satellite, with respect from an axis from the center of the planet, if it completes one orbit every 1.5 × 104 s?arrow_forwardEarth is rotating about the Sun in our solar system. The distance between the Earth and Sun is 1.5 × 1011m. Consider the impact of an asteroid of mass 8.9 ×1015 kg and a speed of 90,000 km/h with respect to the Earth’s surface. The asteroid strikes the Earth at the equator as shown in Figure. Consider the mass and radius of the Earth are ME = 5.97 × 1024 kg and RE = 6.38 ×106 m, respectively. Assume that the axial and orbital axis of rotations are parallel to each other. 1.Calculate the axial and total angular momentum of the Earth. 2.What is the change in the angular velocity of the Earth due to the collision? 3. What is the maximum possible change in the length of a day due to the collision? 4. How much energy is needed to stop the Earth’s rotation about its axis after the collision? 5. What would be the moment of inertia of the Earth if the axis of rotation is parallelly shifted so that it touches the equator.arrow_forwardThe Moon moves around the earth with radius 3.84 x 108m (the distance from the center of Earth to the center of Moon). The mass of earth is 6.0 x 1024kg. Calculatethe speed of moon moving around the earth.arrow_forward
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