The value ofthe gravitational field in a region is given by g = 2i + 3j. What is the change in gravitational potential energy of a particle of mass 5kg when it is taken from the origin O(0,0) to a point P(10, -5)? (Letters in bold are vectorial representations) a) 5 J b) 10 J c) 25 J d) 50 J

In which situation will the object have the largest gravitational potential energy? a squid deep in the ocean a hiker on a small hill it depends on where y=0 is a hot air balloon high above the ground

Give the definition of the gravitational field strength, g, in terms of the gravitational potential V

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An object of mass m₁ is located at a height h₁ above the ground (that is considered as the reference for the gravitational potential energy, PE, = 0) and has a potential energy PE 1. If the mass is doubled (m₂ = 2m₂) and the height is reduced to h₂ = then the new potential energy PE92 will be equal to: h₁ PEg2= PEg1 PEg2= 2 PEg1 PEg2= 4 PEg1 O PEg2= 0.25 PEg1 O PEg2= 0.5 PEg1

For the gravitational field of a large massive object, such as the sun, what is the gravitational potential energy of a smaller mass very, very far away? O mgh O 42

Question: Three identical 5.6 kg spheres are located at 3 of the 4 corners (top left, top right, and bottom right) of a square whose sides are 2.8 m in length. How much work must be done on the gravitational field produced by the spheres in order to remove the top right sphere (place it at infinity)? Assume that the 2 spheres that are left behind (top left, bottom right) remain located on opposite corners of the square. A) 1.50 x 10-9 J B) 5.34 x 10-10 J C) 1.89 x 10-10 J D) 2.67 x 10-10 J E) 5.29 x 10-10 J OA E B. C.

Calculate how high a 35 kg child must be to have an energy gravitational potential of 450 J.

An object is dropped from a height of 12m. At what height will its kinetic energy and its potential energy be equal? Explain your answer with proper equations and calculations.

Show that the gravitational potential energy of an object of mass at height on Earth is given by PEg = mgh.