Engineers are trying to create artificial “gravity” in a ring-shaped space station by spinning the station like a centrifuge. The ring is 100 m in radius. How quickly must the space station turn to give the astronauts inside it apparent weights equal to their real weights at Earth’s surface?

Q: An astronaut weighs 140 N on the moon's surface. When she is in a circular orbit about the moon at…

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Q: A 1.25 kg book located at some distance away from the center of the earth has a weight of 8.35 N.…

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Q: A space station, in the form of a wheel 100 m in diameter, rotates to provide an "artificial…

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Q: What is the magnitude of the gravitational force acting on the earth due to the sun?

A: Necessary quantities :  Earth's mass, mearth = 5.98 x 1024 kg Sun's mass, msun = 1.99 x 1030 kg…

Q: An exoplanet has three times the mass and half the radius of the Earth. Find the acceleration due to…

A: mass of exoplanet = 3 times the mass of earthradius of exoplanet = 12 times the radius of earth

Q: What is the force of gravity, Fg, between 2 spheres if: m1= 5.3 x 108 kg m2 = 2.5 x 1011 kg r =…

A: Given data: First mass (m1) = 5.3×108 kg Second mass (m2) = 2.5×1011 kg Distance (r) = 12,000 m G =…

Q: Two uniform spheres are positioned as shown. Determine the gravitational force F which the titanium…

A: We have two spheres of radius r1=R and r2=2.9 R which are separated by a center to center distance…

Q: A 3.0-kg rocket-propelled toy car has a speed of 6.0 m/s as it rides inverted at the top of a…

A: A 3.0-kg rocket-propelled toy car has a speed of 6.0 m/s as it rides inverted at the top of a…

Q: The cylindrical space station shown, 200 m in diameter, rotates in order to provide artificial…

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Q: A rotating space station of radius 235 m is pictured above. What rotation rate must it have in order…

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Q: What would be the acceleration of gravity at the surface of a world with twice Earth’s mass and…

A: The acceleration due to gravity g on the surface of Earth has the following formula  g=GMR2M is the…

Q: At one point, the international space station (ISS) is at a distance of 410 km above the Earth. If…

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Q: Three masses are located in the vertices of an equilateral triangle. Calculate the magnitude and the…

A: Draw the schematic arrangements of the system.

Q: The tallest spot on Earth is Mt. Everest, which is 8850 m above sea level. If the radius of Earth to…

A: Given data:  Altitude above sea level (h) = 8850 m Radius of earth (R) = 6369 km = 6369000 m…

Q: One problem for humans living in outer space is that they are apparently weightless. One way around…

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Q: What is altitude of a 1000.0 kg satellite orbiting the Earth where the gravitational field strength…

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Q: Consider a hypothetical extrasolar world, planet X, that has 2 times the radius of the Earth and 1.6…

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Q: Find the location of the gravitational center of a set of weights hanged on the rod as shown below.…

A: Let the center of gravity is at a point distant x from 25 g mass as shown bellow…

Q: An object of mass 0.50 kg is transported to the surface of Planet X where the object's weight is…

A: Mass of the object, m = 0.50 kg Weight of the object, W = 20 N Radius of planet, R = 4×106 m The…

Q: How many revolutions per min would a 25-m-diameter ferris wheel need to make for the passengers to…

A: The passengers weight is equal to the centripetal force is related by the equation.

Q: . The force of gravity acting on a 10-kg object at an altitude equivalent to the Earth’s radius is…

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Q: A 0.55-kg ball, attached to the end of a horizontal cord, is revolved in a circle of radius 1.3 m on…

A: The tension force of the cord is equal to the centripetal force of the ball,

Q: A geosynchronous orbit is one where the period of the rotation of the thing you’re orbiting is equal…

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Q: A space station has a ring with a radius of 350 meters, which rotates with a velocity which gives a…

A: Here, r1=350 ma1=1g=9.8 m/s2a2=0.375g = 0.375*9.8 m/s2r2=?

Q: A car of mass 1.43x10ʻkg goes around an unbanked, circular curve of radius 26.6m at a speed of…

A: Given data:  Mass (m) = 1.43×103 kg Radius (r) = 26.6 m Speed (v) = 13.4 m/s Required: The…

Q: Satellites that orbit at an altitude of 438 mil above the surface of earth are called…

A: The equation for the period of revolution of satellite is given by,

Q: A satellite of mass 500 kg is at a point 4.00 x 10^6 m above the Earth's surface. What is the…

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Q: Just after vertical launch from Earth surface, the space shuttle takes 8.0 s to reach a speed of 160…

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Q: Celine weighs 625 N on the 5 pu Earth's surface. At what height above the Earth's surface would she…

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Q: A space exploration program proposes to make artificial gravity on a space station that looks like a…

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Q: 3. Four particles are arranged as shown in the figure below. Find the net gravitational force on m,.…

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Q: How many revolutions per minute would a 30 m -diameter Ferris wheel need to make for the passengers…

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Q: A proposed space station includes living quarters in circular ring 47.5 m in diameter. At what angle…

A: Given: The diameter of the circular ring, d = 47.5 m.

Q: Because the Earth rotates about its axis, a point on the equator experiences a centripetal…

A: The centripetal acceleration of equator point is 0.0337 m/s2 and mass of person is given 75.0 kg ,…

Q: A car of mass 1.43x10°kg goes around an unbanked, circular curve of radius 26.6m at a speed of…

A: Given that               The mass of the car is (m) = 1.43×103Kg               Radius of the…

Q: Earth’s gravitational field strength at the surface is 9.80 N/kg. Determine the distance, as a…

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Q: You’re driving your new sports car at 75 mph over the top of a hill that has a radius of curvature…

A: Given data *The speed of the sports car over the top of hill is v = 75 mph = (75 × 0.447) m/s =…

Q: A space station, in the form of a wheel 128 m in diameter, rotates to provide an "artificial…

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Q: Neutron stars, such as the one at the center of the Crab Nebula, have about the same mass as our sun…

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Q: A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal…

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Q: How many rotations per minute would a Ferris wheel with diameter d = 24 m need to perform in order…

A: The expression for find velocity of the Ferris wheel is F=mv2rmg=2mv2dv=dg2

Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!