Understanding Our Universe
3rd Edition
ISBN: 9780393614428
Author: PALEN, Stacy, Kay, Laura, Blumenthal, George (george Ray)
Publisher: W.w. Norton & Company,
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Chapter 5, Problem 16QAP
To determine
The result of ice-skater when he throws arms out.
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Please answer the question and its subquestions entirely! This is one question with two subquestions. According to the official Bartleby guidelines, I am alowed to have up to two subquestion!
1)
When an ice-skater spins and increases her rotation rate by pulling her arms and leg in, what happens to her kinetic energy?
It stays the same.
It increases.
It decreases.
a)
A 0.400 kg mass, sitting on a horizontal frictionless surface, is attached to the end of a 0.750 m string. It is whirled around in a circular horizontal path. If the maximum tension that the string can withstand is 450 N, then what maximum velocity can the mass have if the string is not to break?
375 m/s
22.4 m/s
19.4 m/s
29.0 m/s
b)
A grinding wheel with a moment of inertia of 2 kg-m 2 has a 2.50 N-m torque applied to it. What is its final kinetic energy 10 seconds after starting from rest?
312 J
237 J
156 J
106 J
A circular planetary ring of radius 95000 kilometers completes one full revolution in 120000 hours.
What is the angular velocity of the ring? (in radians/hour) and as a result, the linear velocity? (km/hr)
A star with a of mass of 3.0x1032 kg and radius 7.0x108 m is initially rotating at a rate of once every 30 days. The star collapses into a neutron star with the same mass but a new radius of 18,000 m. What is the new angular speed of the star? (Give your answer in rotations per second.) Assume the star is a solid sphere: Isphere = 2/5 MR2.
Chapter 5 Solutions
Understanding Our Universe
Ch. 5.1 - Prob. 5.1CYUCh. 5.2 - Prob. 5.2CYUCh. 5.3 - Prob. 5.3CYUCh. 5.4 - Prob. 5.4CYUCh. 5.5 - Prob. 5.5CYUCh. 5.6 - Prob. 5.6CYUCh. 5 - Prob. 1QAPCh. 5 - Prob. 2QAPCh. 5 - Prob. 3QAPCh. 5 - Prob. 4QAP
Ch. 5 - Prob. 5QAPCh. 5 - Prob. 6QAPCh. 5 - Prob. 7QAPCh. 5 - Prob. 8QAPCh. 5 - Prob. 9QAPCh. 5 - Prob. 10QAPCh. 5 - Prob. 11QAPCh. 5 - Prob. 12QAPCh. 5 - Prob. 13QAPCh. 5 - Prob. 14QAPCh. 5 - Prob. 15QAPCh. 5 - Prob. 16QAPCh. 5 - Prob. 17QAPCh. 5 - Prob. 18QAPCh. 5 - Prob. 19QAPCh. 5 - Prob. 20QAPCh. 5 - Prob. 21QAPCh. 5 - Prob. 22QAPCh. 5 - Prob. 23QAPCh. 5 - Prob. 24QAPCh. 5 - Prob. 25QAPCh. 5 - Prob. 27QAPCh. 5 - Prob. 28QAPCh. 5 - Prob. 29QAPCh. 5 - Prob. 30QAPCh. 5 - Prob. 31QAPCh. 5 - Prob. 32QAPCh. 5 - Prob. 34QAPCh. 5 - Prob. 35QAPCh. 5 - Prob. 36QAPCh. 5 - Prob. 37QAPCh. 5 - Prob. 38QAPCh. 5 - Prob. 39QAPCh. 5 - Prob. 40QAPCh. 5 - Prob. 41QAPCh. 5 - Prob. 42QAPCh. 5 - Prob. 43QAPCh. 5 - Prob. 44QAPCh. 5 - Prob. 45QAP
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- Must engineers take Earth’s rotation into account when constructing very tall buildings at any location other than the equator or very near the poles?arrow_forwardAt the end of its life, a star can collapse from the size of our Sun to the size of the Earth. The star then becomes a so-called White Dwarf. When the collapse takes place, the mass of the star stays the same. Stars generally spin around their own axis. What happens to the angular velocity of the spinning star when it collapses to become a White Dwarf ?arrow_forwardCalculate the angular momentum of the sun's spin angular momentum (assuming the sun is a uniform sphere) and the four major planets Jupiter, Saturn, Uranus and Neptune, and prove that the sun's spin angular momentum is less than 0.5% of the total angular momentum of the solar system.arrow_forward
- A star that has the same mass and radius as the Sun rotates at an angular velocity 1.2 revolutions per month. The star collapses into a white dwarf that has a radius of 3.0 km. What is its angular velocity after the collapse?arrow_forwardAn astronaut is freely floating in space away from the space station. He has a drill. The drill is rotating, but the astronaut is not rotating. Is it possible for him to rotate about any axis that he wants? How?arrow_forwardAn ice skater is spinning at 6.8 rev/s and has a moment of inertia of 0.56 kg ⋅ m2. 1) Calculate the angular momentum, in kilogram meters squared per second, of the ice skater spinning at 6.8 rev/s. L1 = 2) He reduces his rate of rotation by extending his arms and increasing his moment of inertia. Find the value of his moment of inertia (in kilogram meters squared) if his rate of rotation decreases to 1.75 rev/s. I2 = 3) Suppose instead he keeps his arms in and allows friction of the ice to slow him to 3.5 rev/s. What is the magnitude of the average torque that was exerted, in N ⋅ m, if this takes 16 s? τave =arrow_forward
- What is the angular momentum of the earth? (Earth mass: 5.98E24kg; earth radius: 6.37E6m)arrow_forwardConsidering a disk is rotating on a table in a clockwise direction, what is the direction of the angular velocity? right downward upward leftarrow_forwardThe Sun’s mass is 2.01030kg , its radius is 7.0105km , and it has a rotational period of approximately 28 days. If the Sun should collapse into a white dwarf of radius 3.5103km , what would its period be if no mass were ejected and a sphere of uniform density can model the Sun both before and after?arrow_forward
- Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions. Many rotate very rapidly. Suppose the mass of a certain spherical neutron star is twice the mass of the Sun and its radius is 10.0 km. Determine the greatest possible angular speed the neutron star can have so that the matter at its surface on the equator is just held in orbit by the gravitational force.arrow_forwardTwo planets X and Y travel counterclockwise in circular orbits about a star as shown in Figure P13.22. The radii of their orbits are in the ratio 3:1. At one moment, they are aligned as shown in Figure P13.22a, making a straight line with the star. During the next five years, the angular displacement of planet X is 90.0 as shown in Figure F13.22b. What is the angular displacement of planet Y at this moment? Figure P13.22arrow_forwardRepeat Example 10.15 in which the disk originally spins clockwise at 1000 rpm and has a radius of 1.50 cm.arrow_forward
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