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Q. A planet moves in an elliptical orbit around the sun. The mass of the sun is Ms. The minimum and maximum distances of the planet from the sun are R1 and R2, in that order.
Using Kepler's 3rd law and Newton's law of universal gravitation, find the period of revolution of the planet as it moves around the sun. Suppose that the mass of the planet is much smaller than the mass of the sun. Use for the gravitational constant. Articulate the period in terms of G, Ms, R1, and R2.
The 2.00 kg object below is released from rest at the height of 5.0 m on a curved frictionless ramp. At the foot of the ramp is a spring of force constant k = 450 N/m. The object slides down the ramp and into the spring, compressing it a distance x b..
A particle undergoes a displacement Δr of magnitude 57 m in a direction 25° below the x axis. Express Δr in terms of the unit vectors x and y.
A helicopter is ascending vertically with a speed of 5.02m/s. At a height of 140m above the Earth, a package is dropped from the window. How much time does it take for the package to reach ground.
A 1.50 multiplied by 103kg car starts from rest and accelerates uniformly to 18.50m/s in 13s. Assume that air resistance remains constant at 400N during this time.
The distance to the Andromeda Galaxy is estimated at about 2 ´ 106 light years. A light year is distance travelled by light in one year; if the speed of light is 3 ´ 108 m/s, about how far is it from our galaxy to Andromeda? (1 year = 3.15 ´ 107 s..
An airplane maintains a speed of 567 km/h relative to the air it is flying through as it makes a trip to a city 745 km away to the north.
Two boxes A and B are connected to each end of a light vertical rope. A constant upward force 80.0 is applied to box. Starting from rest, box descends 10.4 in 3.40. The tension in the rope connecting the two boxes is 37.0
What is the turntable rotation angular velocity
The altitude of a hang glider is increasing at a rate of 6.80 m/s. At the same time, the shadow of the glider moves along the ground at a speed of 15.5 m/s when the sun is directly overhead. Calculate the magnitude of the glider’s velocity.
A machinist starts with three identical square plates but cuts one corner from one of them, two corners from the second, and three corners from the third. Rank the 3 plates according to the x coordinate of their center of mass, from smallest to large..
Illustrate a new gravitational potential energy
A golfer takes two putts to get his ball into the hole once he is on green. The first putt displaces the ball into the ball 6.7 m east, and the second 2.16 m south. What displacement would have been needed to get the ball into the hole on first putt.
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