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 kicked off a cliff at a height of 20m above ground and an angle of 30 degree from the horizontal, it follows projectile motion and lands after a time t. Its velocity at the maximum height it reaches is 20m/s, how long does it take it to land?
A small ball is projected with speed 15 m/s at an angle of 60 degrees above the horizontal. Find the distance from the point of projection of the ball at the instant when it is travelling horizontally.
How could I calculate the internal resistance of a cell?
Rutherford’s alpha particle scattering experiments gave what evidence about an atom?