Answer:
2.33
Explanation:
The basic equation for circular motion that relates to mass, radius, force , angular velocity and centripetal acceleration is ;
F=mv²r
You know that ;
F=ma----------------------newton's laws of motion
Centripetal acceleration , ac=v²r where v is orbital speed and r is radius of orbit
Finding orbital speed in T period; v= 2πrT -----------------------(1)
Express centripetal acceleration in terms of (1) above
ac=(2πrT)² r = 4π²rT²
Getting the ration of Earth's acceleration to Mars acceleration will be
(rE×Tm)÷(rM×Te)
where rE=distance of Earth from the sun
Tm=orbital period of Mass
rM=distance of Mass from the sun
Te= orbital period of Earth
=(149.6×687²)÷(227.9×365²) = 2.33
