True or false question- The gravitational force exerted by the Sun on the Earth holds the Earth in an orbit around the Sun. Let us assume that the orbit is perfectly circular. The work done by this gravitational force during a short time interval in which the Earth moves through a displacement in its orbital path is zero

Does the escape speed for an object at the earth’s surface depend on the direction in which it is launched? Explain. Does your answer depend on whether or not you include the effects of air resistance?

Planetary motion. A planet or asteroid orbits the Sun in an elliptical path'. The diagram shows two points of interest: point P, the perihelion, where the planet is nearest to the Sun, and the far point, or aphelion, at point A. At these two points (and only these two points), the velocity v of the planet is perpendicular to the corresponding "radius" vector ř, from the Sun to the planet. An arbitrary point Q is also shown. P A

A statue is crated and moved for cleaning. The mass mm of the statue and crate is 150kg150kg. As the statue slides down a ramp inclined at an angle θ=40∘θ=40∘, the curator pushes up, parallel to the ramp's surface, so that the crate does not accelerate. The statue slides a distance d=4.0m d=4.0m down the ramp, as shown in the figure, and the coefficient of kinetic friction μkμk between the crate and the ramp is 0.580.58. Assume that the positive direction is down the ramp. a) Calculate the work WgravWgrav done by the gravitational force. (b) Calculate the work WfrictionWfriction done by the friction force. (c) Calculate the work WcuratorWcurator done by the curator. (d) Calculate the work WnormalWnormal done by the normal force.

Problem 2: The force F = (3.43 N)i + (4.66 N)j acts on a particle as it moves first along the x axis from x = 1.59 m to x = 8.85 m, then parallel to the y axis from y = 1.18 m to y = 6.84 m.

Consider a system that is comprised of two planets. These two planets orbit each other, both following stable circular orbits about the center of mass. Assume that they are so distant from other bodies in the universe that any forces from other bodies are negligible. Which of the statements below about the system comprising of these two planets are correct? The planets will get increasingly closer to each other due to the attractive gravitational force between them. As there are no non-conservative forces doing work on this system, the mechanical energy (kinetic plus potential energy) is conserved. When considering this system, the force of one planet on the other is an external force. The acceleration of the center of mass of the two planet system is zero.

Hello, I need help with this problem.

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.60m, object 2 has mass 1.71m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23)   This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system became zero, how high…

A 3.00-kg block is placed at the top of a track consisting of two frictionless quarter circles of radius ?=3.00 m connected by a 5.00-m-long, straight, horizontal surface as shown in the figure. The coefficient of kinetic friction between the block and the horizontal surface is ?k=0.100. The block is released from rest. What maximum vertical height ? does the block reach on the right‑hand section of the track? y = ? (in m)

A wagon with its passenger sits at the top of the hill. The wagon is giving a slight push and rolls 100. m down an incline (10.0° above the horizontal) to the bottom of the hill. What is the wagon’s speed when it reaches the end of the incline. Assume that the retarding force of friction is negligible.