Pad 15, 50% webassign net Sign In PH101 Homework Assignment 2 Serway, Physics My

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Pad 15, 50% webassign net Sign In PH101 Homework Assignment 2 Serway, Physics My Notes ASK Your Teacher A Cessna aircraft has a liftoff speed of 120 km/h. (a) What minimum constant acceleration does the aircraft require if it is to be airborne after a takeoff run of 270 m? m/s2 (b) How long does it take the aircraft to become airborne? Need Help? Read It Chat About It My Notes o Ask Your Teacher -1 points SerCP9 2.P028 WI In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long cannon with final speed of 10.97 km/s. What would have been the unrealistically large acceleration experienced by the space travelers during their launch? (A human can stand an acceleration of 15g for a short time.) m/s Compare your answer with the free-fall acceleration, 9.80 m/s (i e. how many times stronger than gravity is this force?) Need Help? LRead Watch It Chat About It -11 points SerCP9 2.P039,soln My Notes Ask Your Teacher

Explanation / Answer

(1) Use v^2 = u^2 + 2aS

where v = final velocity = 120 km/hr : u = initial velocity = 0

a = acceleration and S = distance travelled = 270 m = 270/1000 km = 0.27 km

so 120^2 = 0 + 2a * 0.27

or a = 120^2/ ( 2 * 0.27) = 26666.67 km/hr^2 (ans)

to calculate the time, use v = u + at

or t = (v -u) / a = 120 / 26666.67 = 0.0045 hr = 16.20 seconds

(2) agin use v^2 = u^2 + 2aS

or a = (v^2 - u^2) / 2S

= 10.97^2 / (2 * 0.22) = 273.50 km/hr^2

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