The mass of the Earth is 6.0x10^24 kg and its radius is 6.4x10^6m, calculate the orbital speed of the moon around the earth, the orbit of the moon is a circle of approximate radius of 60R where R is the radius of the earth and a mass m.
M=6.0x1024kg create info list of information given in the question converting all values to SI unitsR=6.4x106mF=GMm/r2 F=mv2/r write down any necessary equations Force due to the gravitational attraction of the moon and the earth is equal to the centripetal force experienced by the moon due to the earth.equate the two equations and rearrange for vmv2/r = GMm/r2v=sqrt(GM/r) G=Gravitational Constant 6.67x10-11Plug in the numerical values on the calculatorv=1020.87 calculate to appropriate number of sig figs and add unitsv=1000ms-1
ED
Related Physics A Level answers
All answers ▸A ball is thrown vertically downwards at a speed of 10ms^-1 from a height of 10m. Upon hitting the floor 10% of the energy is dissipated through waste heat. What is the heighest point the ball reaches before it comes to rest? Take g=10ms^-2
What is an ohmic resistor? How to check if a resistor is ohmic?
If a car is travelling over a curved hill, what is the maximum speed it can travel before losing contact with the road surface?
What happens to ice when energy is supplied at a constant rate in terms of the changes in energy of the molecules?