During which part of the planet's orbit (A, B, C, or D) would the planet move with the greatest speed? Answer E if you think the planet travels with the same speed during ALL of the portions of the motion (A, B, C, and D).
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- For a 100 kg satellite orbiting Earth in a circular orbit of radius 6500 km, determine the following: Part A its kinetic energy, K Enter your answer in scientific notation in the following format: The coefficient, followed by the capital letter E, followed by the exponent. For example, if your answer is 5.0\times10^8 \space J5.0×108 J, enter 5.0E8 J Part B its potential energy, U (U = 0 at infinity) Enter your answer in scientific notation in the following format: The coefficient, followed by the capital letter E, followed by the exponent. For example, if your answer is 5.0\times10^8 \space J5.0×108 J, enter 5.0E8 JPlease answer parts a-cTidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).
- Please help. ThanksJupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 kmkm (or even higher) above the surface. Io has a mass of 8.93×1022kg8.93×1022kg and a radius of 1821 kmkm. Part A How high would this material go on earth if it were ejected with the same speed as on Io? (RERE = 6370 kmkm, mE=5.96×1024kgmE=5.96×1024kg) Express your answer with the appropriate units.I got Part B wrong and wasn't sure where at. Could someone walk me through it?
- We want to find the coefficient of restitution e between the ball and the floor. We will be able to measure the time of flight between subsequent bounces, but not the velocities before and after each impact. Question 1 a. Using the kinematics equation for position, find a relationship between the time of flight tn and the velocity of the ball after the nth bounce. You should obtain a quadratic equation that has two solutions for the time tm, but only one of them represents the time of flight. b. Using the kinematics equation for velocity and the relationship determined in the previous step, find the relationship between the velocity right after the nth bounce and the velocity right before the (n +1)th bounce? c. Given your answers to the previous parts of this question and the definition of €, find the coefficient of restitution e in terms of the subsequent times of flight tn and tr+1.How would I begin to solve this problem? In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for a rocket's position measured from the center of the Earth is given by y(t) = (RE3/2 + 3*(g/2)1/2 REt)2/3 where RE is the radius of the Earth (6.38 ✕ 106 m) and g is the constant acceleration of an object in free fall near the Earth's surface (9.81 m/s2). (a) Derive expressions for vy(t) and ay(t). (Use the following as necessary: g, RE, and t. Do not substitute numerical values; use variables only.)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?