The table summarizes the hypothetical data about these moons. Mithra is an unknown planet that has two moons, A and B, in circular orbits around it. ( G = 6.67 × 10-11 N ? m2/kg2) 58)ĥ9) When a spacecraft is launched from the earth toward the sun, at what distance from the earth will the gravitational forces due to the sun and the earth cancel?Įarth's mass is 5.97 × 1024 kg, the sun's mass is 1.99 × 1030 kg, and the Earth-sun distance is 1.5 × 1011 m. When the third mass is suddenly released, find the magnitude and direction (toward A or toward B) of its initial acceleration. A third point mass is placed between the other two at a point that is 20.0 cm from B along the line connecting A and B. Choose the one alternative that best completes the statement or answers the question.ĥ7) As a 70-kg person stands at the seashore gazing at the tides (which are caused by the Moon), how large is the gravitational force on that person due to the Moon? The mass of the Moon is 7.35 × 1022 kg, the distance to the Moon is 3.82 × 108 m, and G = 6.67 × 10-11 N ? m2/kg2.ĥ8) A very dense 1500-kg point mass ( A) and a dense 1200-kg point mass ( B) are held in place 1.00 m apart on a frictionless table. What is the mass of each of them? ( G = 6.67 × 10-11 N ? m2/kg2) 56) ![]() ![]() When released in an orbiting space station, they accelerate toward each other at 2.00 cm/s2. Write the word or phrase that best completes each statement or answers the question.ĥ5) What is the magnitude of the gravitational force that two small 7.00-kg balls exert on each other when they are 35.0 cm apart? ( G = 6.67 × 10-11 N ? m2/kg2) 55)ĥ6) Two identical tiny balls of highly compressed matter are 1.50 m apart. What is the speed with which to take the curve without tending to slide either up or down the surface of the road?ĭ) The curve cannot be taken safely at any speed.ĥ4) What is the gravitational force acting on a 59-kg person due to another 59-kg person standing 2.0 m away? We can model each person as a small sphere. Suppose that an ice storm hits, and the curve is effectively frictionless. 51) What is the proper banking angle for an Olympic bobsled to negotiate a 100-m radius turn at 35 m/s without skidding?ĥ2) A highway curve of radius 100 m, banked at an angle of 45°, may be negotiated without friction at a speed ofĥ3) A highway curve of radius 80 m is banked at 45°.
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