A proton (mp 1.67 x 10-27 kg) is traveling in a vacuum at 0.750 c, where c is the speed of light. Answer the three parts below, using three significant figures. Part A - What is the value of y?

A newly discovered planet moves in a circular orbit around the star at a constant speed. The direction of the planet's acceleration is:

The asteroid 243 Ida has a mass of about 4.0×10^16 kg and an average radius of about 16 km (it's not spherical, but you can assume it is). a) Calculate the speed with which you would have to throw a rock to put it into orbit around the asteroid 243 Ida, near the surface. b) How long would it take for your rock to return and hit you in the back of the head?

Algebraic relation. Two particles, A and B, are in uniform circular motion about a common center. The acceleration of particle A is k times that of particle B and the speed of A is 3 times that of B. Find the numerical value of the ratio of their radii, A/B if [] k 9.4 B = 1.4 TA/TB = Please record your numerical answer below, assuming three significant figures.

Learning Goal: To find some of the parameters characterizing an object moving in a circular orbit. The motivation for Isaac Newton to discover his laws of motion was to explain the properties of planetary orbits that were observed by Tycho Brahe and analyzed by Johannes Kepler. A good starting point for understanding this (as well as the speed of the space shuttle and the height of geostationary satellites) is the simplest orbit: a circular one. This problem concerns the properties of circular orbits for a satellite orbiting a planet of mass M. For all parts of this problem, where appropriate, use G for the universal gravitational constant. Part A Find the orbital speed v of a satellite in a circular orbit of radius R around a planet of mass M. Express the orbital speed in terms of G, M, and R. ► View Available Hint(s) V = Submit Part B K = Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M. Express your answer in terms of m,…

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A Fall on the Moon. You and your team are stationed at an earth-based mission control facility and have been tasked with assisting astronauts via radio communication as they exit a spacecraft that has recently landed on the moon. The astronauts intended to explore the lunar surface but, unfortunately, they hit a snag even before they opened the hatch. Their craft has landed right on the edge of a 15-ft cliff, so that there is no way off the lander except to drop that distance from the bottom rung of a ladder on the side of the ship. You look up the structural parameters of the space suits, the gear they are wearing, and the physical limitations of the crew, and find that, on earth, the maximum drop they can safely endure is 4.0 ft. (a) Is it safe for them to make the 15-ft drop on the moon? (b) What is the maximum drop they can safely endure on the moon? Note that the acceleration due to gravity on the moon is one-sixth as large as that on earth.

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Please provide assistance with the question attached below:

Question A3 State Newtons law of gravitation in equation form naming ALL terms in the equation. The gravi- tational potential energy of a mass m on the surface of a planet of radius R and mass M is given by the expression: GMm U = - R Derive an expression for the escape velocity vese for the given potential.