Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 27 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.95 × 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. Additionally, use 5.979 × 1024 kg for Earth's mass and 6.376 × 106 m for Earth's radius How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)
Q: A Mars orbiter is orbiting Mars at 35,000 m above the Martian surface. What is its period in…
A: Height of Mars orbiter above the Martial surface: h = 35000 m Mass of Mars: Mm = 6.42 x 1023 kg…
Q: Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium…
A:
Q: A very massive star with an M mass has a geometric shape of a sphere hollow, where the mass is…
A:
Q: A ring of radius 7 m lies in the x-y plane, centered on the origin. The portions of the ring in the…
A:
Q: Problem 7: Three children are riding on the edge of a merry-go-round that is a disk of mass 102 kg,…
A: Since there is no external torque acting on the system, angular momentum is conserved.Initial…
Q: Zorch, an archenemy of Superman, decides to slow the Earth's rotation to once per 28.0 hours by…
A: initial angular velocity of earth,ω0=2π23×60×60+(56×60)+(4)s=72.92×10-6 rad/sFinal angular velocity…
Q: What is the distance from the center of Mars to the surface where a 91.0 kg Astronaut is standing…
A:
Q: What is the moment of inertia of the object about an axis at the right edge of the sphere? kg-m…
A:
Q: At an amusement park there is a ride in which cylindrically shaped chambers spin around a central…
A: Given, at an amusement park, there is a ride in which cylindrically shaped chambers spin around a…
Q: Three objects of equal mass m₁ = m₂ = m 3 = 1.75 kg are located on the vertices of an equilateral…
A: First, we need to understand the problem. We have four masses, three of them (m1, m2, m3) are…
Q: A pulsar is a rapidly rotating neutron star that emits a radio beam the w receive a radio pulse for…
A: Torque is a unit of measurement for the force required to rotate an object around an axis. Torque…
Q: A carnival ride tests your courage by putting you in a situation that would appear dangerous. A…
A: Given information: The mass of the person (m) = 75.3 kg The radius of the tube (r) = 4.1 m The…
Q: In an amusement park ride, a person with mass 70 kg stands against the wall of a cylindrical room…
A:
Q: Zorch, an archenemy of Superman, decides to slow Earth’s rotation to once per 29 h by exerting a…
A:
Q: Part (b) If the ring rolls (without slipping) all the way to point 2, what is the ring's energy at…
A:
Q: You have a physics homework set that's due in a few days, so, naturally, you're procrastinating. As…
A:
Q: A package of mass 8 kg sits at the equator of an airless asteroid of mass 3.0 x 1020 kg and radius…
A: We are given the final speed of mass. We are also given that the mass has escaped the asteroid's…
Q: Around 2.5 centuries ago, several physicists of the time came up with the notion of a dark star.…
A: Escape velocity is the minimum velocity required for an object to escape from the gravitational…
Q: Problem 4: A merry-go-round at an amusement park consists of an outer ring of horses and an inner…
A: (a) Expression for the total moment of inertia of the carousel about its axis, in terms of the…
Q: At an amusement park there is a ride in which cylindrically shaped chambers spin around a central…
A: Given data: Speed (v) = 3.06 m/s Mass (m) = 71.1 kg Force (F) = 250 N Required: Radius of the…
Q: A package of mass 5 kg sits at the equator of an airless asteroid of mass 3.0 x 1020 kg and radius…
A: Given data- mass of package m=5 kg mass of airless asteroid M=3.0*1020 kg…
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Given The radius of the container is r = 11.2 cm = 11.2 x 10-2 m. The frequency of the rotating…
Q: The polar ice caps have a combined mass of about 2.55 x 1019 kg. If all of the ice in the polar ice…
A:
Q: Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but…
A: Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but…
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Radius of the container r=10.1 cm = 0.101 mRotating speed of cylinder= 2.96 revolutions per second
Q: At an amusement park there is a ride in which cylindrically shaped chambers spin around a central…
A: Given:Tangential velocity = 5m/smass of the person = 50kgForce = 125N Required:Radius of the chamber…
Q: Certain neutron stars (extremely dense stars) are believed to be rotating at about 3.5 rev/s. If…
A: Given data: The number of revolutions of the neutron star is N=3.5 rev/s. The radius of the…
Q: A solid sphere of uniform density has a mass of 6.2 × 104 kg and a radius of 3.6 m. What is the…
A:
Q: Five small spheres each with a mass of 48 kg are attached to the vertices of a pentagon. A set of…
A: The formula for the gravitational field is given by the following expression, F=-GMr2 where M is the…
Q: There is a clever kitchen gadget for drying lettuce leaves after you was them. It consists of a…
A: Consider the radius of the container be r, the angular speed of the cylinder be ω, and tangential…
Q: A solid sphere of uniform density has a mass of 9.3 × 104 kg and a radius of 3.4 m. What is the…
A: Given: mass, m1 = 9.3×104 kg mass, m2 = 7.5 kg radius of sphere, R = 3.4m To Find: (a) Gravitational…
Q: Consider a rod of total length 4 m that is free to pivot above its center. The linear mass density…
A:
Q: Members of the Star Trek exploration committee find themselves on Physitopia, a planet with its own…
A: Solution Given dataMass of physitopia M=6.46×1023kgRadius R=3.39×106mMass of individual…
Q: There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a…
A: Radius of container (r) = 14.9 cm = 0.149 m Angular velocity (ω) = 1.28 revolutionssec = 1.28×2π…
Q: amusement park there is a ride in which cylindrically shaped chambers spin around a central axis.…
A: We know that We have given that an amusement park there is a ride in which cylindrically shaped…
Q: Calculate the dark star radius from the mass of the star and the escape speed. Answer in…
A: Mass , M = 2.4*1030 kg To find = radius
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
- 3. A simple pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob oscillates back and forth and is moving at speed v when the string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, v, M and/or g. This is similar to the vertical circle from the Circular Motion Experiment worksheet except that we are not going in a full circle. a. Draw the free body diagram of forces acting on the pendulum bob. Include a coordinate system on your diagram showing your choice for the +x and +y directions. b. Write out Newton's 2nd law EF = mã for each direction. X: y: c. What is the tangential acceleration of the pendulum bob? d. Determine the tension of the string. e. What is the magnitude of the total acceleration of the pendulum bob?There is a clever kitchen gadget for drying lettuce leaves after you wash them. It consists of a cylindrical container mounted so that it can be rotated about its axis by turning a hand crank. The outer wall of the cylinder is perforated with small holes. You put the wet leaves in the container and turn the crank to spin off the water. The radius of the container is 12.2 cm. When the cylinder is rotating at 2.45 revolutions per second, what is the magnitude of the centripetal acceleration at the outer wall? Number Units #Tidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).
- You are standing 2.7 m from the centre of a spinning merry-go-round holding one end of a string tied to a 120 g mass. The merry-go-round has a period of 3.9 s. (a) Draw a system diagram of the situation. (b) Draw an FBD of the mass in Earth’s frame of reference. (c) Draw an FBD of the mass in the merry-go-round’s rotating frame of reference. (d) What angle does the string make with the vertical? (e) Determine the magnitude of the tension in the string.Around 2.5 centuries ago, several physicists of the time came up with the notion of a dark star. This was a star so dense, with so much gravity, that not even light could escape. The calculations used Newtonian mechanics. In class, we calculated the escape speed from the surface of the earth or the distance from the sun, and the mass of the planet or star. Here, the process is partially reversed. Calculate the dark star radius from the mass of the star and the escape speed. Answer in kilometers. c = 3*108 m/s M = 3.2*1030 kg G = 2/3 * 10-10 N*m2/kg2pls help
- Item 10 Suppose one of the Global Positioning System satellites has a speed of 4.26 km/s at perigee and a speed of 3.48 km/s at apogee. Part A If the distance from the center of the Earth to the satellite at perigee is 2.42×104 km, what is the corresponding distance at apogee? Express your answer in kilometers. ► View Available Hint(s) ra = Submit ΑΣΦ < Return to Assignment Provide Feedback kmI need help on question 7.2?=J (e) (b) Fe= () 6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path of radius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore air friction and assume the mass of the light cord is negligible. (a) Calculate the tension T in the cord. = L. (b) Calculate the centripetal force acting on the ball. = 'd (c) Calculate the velocity v of this uniform circular motion. Answers:
- Problem 1: The figure shows a small sphere of mass m a distance D from the edge of a uniform rod of length L and mass M placed perpendicularly to the rod. The left edge of the rod is placed at the origin of an xy coordinate system. The x-direction points to the right, and the y-direction points up in the figure shown.The rod has a mass of 6.1 kg and the small sphere's mass is half the mass of the rod. The distance D = 1.4 m and the rod has a length of 1.4 m. What is the magnitude of the gravitational force, in newtons, of the ball?Suppose that humans have created a colony outside of our solar system on a planet called Wfirst21. Wfirst21 has a mass of 2.65×1025 kg2.65×1025 kg and a day that lasts 23.7 h23.7 h (which defines the rotational period of the planet). The colony is located on the planet's equator. The colonists set up a communications satellite which orbits Wfirst21. The satellite has a circular orbit that keeps it positioned directly above the colony. Calculate the radius ?r of the satellite's orbit in kilometers.Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 29.5 h by exerting a force parallel to the equator, opposing the rotation. Superman is not immediately concerned, because he knows Zorch can only exert a force of 3.95 x 107 N. For the purposes calculations in this problem you should treat the Earth as a sphere of uniform density even though it isn't. Additionally, use 5.979 x 1024 kg for Earth's mass and 6.376 x 106 m for Earth's radius. How long, in seconds, must Zorch push with this force to accomplish his goal? (This period gives Superman time to devote to other villains.)