Question

Part A A 3.7 x 1010 kg asteroid is heading directly toward the center of the earth at a steady 20 km/s. To save the planet, astronauts strap a giant rocket to the asteroid perpendicular to its direction of travel. The rocket generates 5.0 x 10° N of thrust. The rocket is fired when the asteroid is 4.9 x 106 kmaway from earth. You can ignore the rotational motion of the earth and asteroid around the sun. If the mission fails, how many hours is it until the asteroid impacts the earth? Express your answer to two significant figures and include the appropriate units. CHÁ t = Value A O O ? Units Submit Request Answer

Answer 1

1 t = the time taken by asteriod to hit earth 4.9x10 km . 2 = 245000 see 20km/s It=68.00 h 6) minimum angle tamo = 2 rouookm | uc R Jeasta o= tant (4.9x10km) 10 - 0.07480

astriod travelling at 20km ls ax= F m - 5x109N 3.7x10o = 0. 15 m/s2 V x= axxt= 0.135x210 = 28.38 mis -728.3 be mis o= tant / 28.38 20000mts I 20000 = 0.08139 o Omin earth so will be saved