Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 28.0 hours by exerting an opposingforce at and parallel to the equator. Superman is not immediately concerned, because he knows Zorch can only exert aforce of 4.00.x 10'N (a little greater than a Saturn V rocket's thrust). How long must Zorch push with this force toaccomplish his goal? Assume the Earth is a uniform sphere of radius 6.37 x 10° m and a mass of 5.97 x 1024kg.(Hint: Remember the Earth's current rotation period is 23 hours, 56 minutes, 4 seconds. You need to calculateZorch's torque on the Earth; the Earth's moment of inertia about its rotation axis; the resulting angular acceleration; andthen the length of time this acceleration would need to act in order to slow the Earth's angular velocity down by therequired amount).1586 million years2128 billion years3140,000 years4462 years

initial angular velocity of earth,ω0=2π23×60×60+(56×60)+(4)s=72.92×10-6 rad/sFinal angular velocity…

Answered: Zorch, an archenemy of Superman,…

Similar questions

In the figure, block 1 has mass m₁ = 460 g, block 2 has mass m2 = 590 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.7 cm. When released from rest, block 2 falls 75 cm in 5.3 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T₁ (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s². (a) Number Units (b) Number i Units (c) Number Units (d) Number Units (e) Number Units m₁ m2 >
The Sun pulls on the Earth, and the Earth pulls on the Sun. However, the Earth is pulled more and less depending on what part of the Earth you consider. If the distance between the Earth and Sun is A, and the radius of the Earth is R then they are related by A = 23500 r. Give the ratio of the acceleration on the near and the far side of the Earth from the Moon. Is the Sun responsible for the tides on Earth?
In the figure, block 1 has mass m1 = 450 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0 cm. When released from rest, block 2 falls 78 cm in 4.9 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.
A small block with mass 0.0400 kg slides in a vertical circle of radius R = 0.500 m on the inside of a circular track. During one of the revolutions of the block, when the block is at the bottom of its path, point A, the normal force exerted on the block by the track has magnitude 3.95 N. In this same revolution, when the block reaches the top of its path, point B, the normal force exerted on the block has magnitude 0.680 N. How much work is done on the block by friction during the motion of the block from point A to point B?
A rocket, launched from the Earth, shuts off its engines when its speed is 5.10 km/s. It reaches a maximum altitude of 2600 km before it falls back to Earth. At what altitude did the rocket's engines shut off? The mass and radius of the Earth are 5.97 1024 kg and 6.37 106 m, respectively. km
At an amusement park there is a ride in which cylindrically shaped chambers spin around a central axis. People sit in seats facing the axis, their backs against the outer wall. At one instant the outer wall moves at a speed of 2.72 m/s, and an 82.0-kg person feels a 276-N force pressing against his back. What is the radius of a chamber?
Your roommate is working on his bicycle and has the bike upside down. He spins the 56.0 cmcm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second. What is the pebble's acceleration? Express your answer with the appropriate units.
A Ferris wheel has radius of 4.8 m and makes one revolution in 7.4 seconds. A person weighing 686 N is sitting on one of the benches attached at the rim of the wheel. What is the apparent weight (that is, the normal force exerted on her by the bench) of the person as she passes through the highest point of her motion?
Chapter 10, Problem 051 In the figure, block 1 has mass m, = 440 g, block 2 has mass m2 = 530 g, and the pulley is on a frictionless horizontal axle and has radius R = 4.8 cm. When released from rest, block 2 falls 72 cm in 5.0 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T, (the tension force on the block 1)? (d) What is the magnitude of the pulley's angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g 9.81 m/s2. m4 m2 (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units
A 50-kg child riding a Ferris wheel (radius = 10 m) travels in a vertical circle. The wheel completes one revolution every 10 s. What is the magnitude of the force on the child by the seat at the highest point on the circular path? O 0.49 KN 0.69 KN 0.29 KN 0.40 KN 0.20 kN
pls help
Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 39.5 h by exerting an opposing force at the equator and parallel to it. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.20 107 N (comparable to a Saturn V rocket's thrust). Assume the Earth's initial rotation is exactly once per 24.0 h to find how long Zorch must push with this force to accomplish his goal. (This gives Superman time to devote to other villains. The Earth's mass is 5.98 1024 kg and its radius is 6.38 106 m.)

SEE MORE QUESTIONS