Write down an expression for the gravitational filed strength of a planet of radius R and density p. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate without the quotes). For Greek letters such as p and n use rho and pi. Please use the "Display response" button to check you entered the answer you expect.

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Part A A rope is wrapped around a wheel with radius 2 feet.  If the radius of the wheel is increased by 1 foot to a radius of 3 feet, by how much must the rope be lengthened to fit around the wheel? Part B Consider a rope wrapped around the Earth's equator. The radius of the Earth is about 4000 miles.  That is 21,120,000 feet.  Suppose now that the rope is to be suspended exactly 1 foot above the equator,  By how much must the rope be lengthened to accomplish this?

I need help with knowing what to cirlce. The " increases      decreases" part.

In the equation of motion, F = ma, a indicates A. Acceleration of largest particle B. Acceleration of the center of mass of the system C. Gravitational force D. None of the above

A hot tub with a surface area of 28 ft2 is filled with water to a depth of 29 in . Hint: volume is calculated as area × height (A × h). A) What is the volume of water in the tub, in liters? Express your answer to two significant figures and include the appropriate units. B) How many kilojoules are needed to heat the water from 59∘F to 103 ∘F? Express your answer to two significant figures and include the appropriate units. C) If the hot-tub heater provides 5900 kJ/min, how long, in hours, will it take to heat the water in the hot tub from 59∘F to 103∘F? Express your answer to two significant figures and include the appropriate units.

Part A Kepler's Third "Law" states that the square of the orbital period of a planet (T) is proportional to the cube of the planet's average orbital radius (r), T² = kr³, where k is the proportionality constant connecting T2 and We can derive Kepler's Third "Law" and show that k = 4/Gmgun, where G is the universal gravitational constant and msun is the mass of the sun, by %3D preventing a global thermonuclear war before it ruins our day and then binge watching the first ten seasons of the Walking Dead on Netflix. setting the acceleration due to gravity at the surface of the planet equal to the acceleration due to gravity at the surface of the sun. O setting the mutual gravitational force between the planet and the sun, Gmplanetmsunr, equal to the centripetal force acting on the planet. O stealing Robert Hooke's undeveloped idea that the mutual attractive force between the planet and the sun is proportional to 1/2. convincing ourselves that planets in circular orbits are actually in…