In: Physics
3. |
Planet Z has diameter 1.8 × 107 m. On the planet's surface, the acceleration due to gravity is 19.5 m/s2. What is the mass of the planet? Note: The constant of universal gravity (G) equals 6.674 × 10-11 N ⋅ m2/kg2. |
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4. |
As shown in the diagram, two massless wires connect a rotating pole to a sphere.The sphere has mass 7.2 kg and it revolves in a horizontal circle at constant speed. At this particular speed the tension is the same in both wires. What is the speed of the ball? |
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5. |
Two people, each of mass 85 kg, are positioned 8.0 m away from each other. What is the magnitude of the gravitational attraction between them? Note: The constant of universal gravity (G) equals 6.674 × 10-11 N ⋅ m2/kg2. |
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6. |
A racecar experiences a centripetal acceleration of 36.0 m/s2 as it travels at a constant speed of 27.0 m/s along a circular arc. What is the radius of the circle? |
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7. |
A particle travels in a circle of radius 76 cm and completes one revolution in 4.5 s. What is the centripetal acceleration of the particle? |
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10. |
Satellite B revolves around Earth 4 times a day. What is the radius of its orbit, measured from Earth's center? Assume that Earth generates the only significant gravitation attraction on the satellite. Note: The mass of Earth is 5.98 × 1024 kg, and the constant of universal gravity (G) equals 6.674 × 10-11 N ⋅ m2/kg2. |
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11. |
An astronaut has weight W on Earth. The astronaut travels to a planet that has a mass 4 times greater than Earth's mass, and its radius is 2 times greater than Earth's radius. What is the astronaut's weight on the planet? |
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12. |
The gravitational acceleration at the surface of planet X is 11.6 m/s2, and the radius of the planet is 66,500 km. An astronaut is hovering at height h above the planet's surface, and she notices her weight is the same as it is on Earth. What is h? |
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13. |
Earth's radius is 6380 km. An object is dropped from a height 622 km above Earth's surface. What is its initial acceleration in terms of g, the acceleration constant due to gravity at Earth's surface? |
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14. |
At the top of a looped section of roller coaster track, the car and rider are completely upside down. What information is necessary to calculate the minimum speed of the car that will prevent a rider from falling out of it? Assume the rider is not strapped into the car. |
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