Gravitational Potential Energy : Gravitational potential energy is the energy acquired by an object due to a shift in its position when it is present in a gravitational field. In simple terms, it can be stated that gravitational potential energy is an energy that is linked to gravity or gravitational force.The gravitational potential energy equation is: GPE = m × g × h, m = mass in kilograms, g = acceleration (9.8 ms-2 on Earth) h = height. Gravitational Potential Energy Derivation Equation -: Let us consider an object, of mass M, which is placed along the x-axis, and there is a test mass m at infinity. Work done at bringing it without acceleration through a minimal distance (dx) is given by: dw = Fdx Here, F is an attractive force and towards the negative x-axis direction is the displacement. Therefore, F and dx are in a similar direction. dw=(GMm/x²)dx Now , we are Intergrating both the side of above equ, w=∫∞r(GMm/x2)dx w=−[GMm/x] w=−[GMmr]−(−GMm/∞) w=−[GMm/r] As the potential energy is stored as U, the gravitational potential energy at ‘r’ distance from the object having mass ‘M’ is: U = - GMm/r Now if another mass inside the gravitational field moves from one point inside the field to another point of the field of mass M, the other mass experiences a change in potential energy given by: ΔU = GMm (1/ri–1/rf) ( ri= initial position and rf= final position )If ri > rf then ΔU is negative. For calculating the potential energy of earth moon system by the help of given fomula method: U=-(G*M1*M2)/R Where: - U is the gravitational potential energy - G is the gravitational constant (6.67 x 10^-11 N·m^2/kg^2) - M1 is the mass of the Earth (5.97 x 10^24 kg) - M2 is the mass of the Moon (7.34 x 10^22 kg) - r is the distance between the Earth and Moon centers (3.84 x 10^8 m) Plugging in these values gives the total gravitational potential energy of approximately 4.6 x 10^29 Joules for the Earth-Moon system.

scince | Physics Answer

Physics

Jr IBIEQRAEQRAEcc0yj5x Egi AIgi AIgi AI4mozj9d JJAi CIAi CIAi CIK405CQSBEEQBEEQBEEQYch JJAi CIAi CIAi CIMKQk0g QBEEQBEEQBEGEISe RIAi CIAi CIAi CCENOIk EQBEEQBEEQBBGGn ESCIAi CIAi CIAgi DDm JBEEQBEEQBEEQRBhy Egm CIAi CIAi CIIgw5CQSBEEQBEEQBEEQYch JJAi CIAi CIAi CIMKQk0g QBEEQBEEQBEEIg P8fop Pbngied68AAAAASUVORK5CYII=

Answer

Student’s rating for this solution:

★ ★ ★ ★ ★ (5/5)

YOU HAVE TO REGISTER FOR ANSWER

AI tools

Study help

Free tools

Earn & more

Physics

Physics

Komal singh

Answer

Extracted Transcript from Images

AI

Study help

Earn & more

Company