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Can I get help on part C. A NASA space probe is traveling from the Earth (averag

ID: 1794449 • Letter: C

Question

Can I get help on part C.

A NASA space probe is traveling from the Earth (average orbital radius, rE = 149.6 x 106 km; period of revolution, TE = 1.00 yrs) to Mars (average orbital radius, rM = 227.9 x 106 km; period of revolution, TM = 1.881 yrs). Treat the orbit of Mars and Earth as circles, with the Sun at the center. The trip takes tEM = 11 months. The average length of a month is 30.436875 days. 25% Part (a) Calculate the orbital velocity, vE, of Earth in m/s.
25% Part (b) Calculate the orbital velocity, vM, of Mars in m/s. 25% Part (c) Assume that the probe starts at rest on the surface of the Earth and comes to rest on the surface of Mars. Calculate the average tangential acceleration, apt in m/s2, of the probe over its journey.

Explanation / Answer

given

Re = 149.6 *10^9 m

Te = 1 year

Rm = 227.9*10^9 m

Tm = 1.881 years

Tem = 11 months

average length of month = 30.436875 days

a. Ve = 2*pi*Re/Te = 29786.28994 m/s

b. Vm = 2*pi*Rm/Tm = 24123.50168 m/s

c. so it starts at relative rest on earth and reaches at relative rest on mars

hence

tangential acceleration = at

at = (Vm - Ve)/Tem = -1.9575994498e-4 m/s/s

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