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ICSE Class 10 Answered

What extra force should an engine of a car developed such that its velocity change from 18 km per hour to 72 km per hour over a distance of 20 metre when  mass of is 900 kg
Asked by Samrat | 29 Jun, 2018, 10:29: PM
answered-by-expert Expert Answer
Initial speed = 18 km / hr = 5 m /s  ;   final speed = 72 km /hr = 72×(5/18) = 20 m /s ;
 
To get extra force, first we need to get acceleration a using the formula  " v2 = u2 + 2×a×S ",
where u and v are initial and final speed, S is the distance
 
20×20 = (5×5)+2×a×20 ...........(1)
 
from above eqn.(1) we get a = 9.375 m/s2
 
force = 900×9.375 = 8437.5 N
Answered by Thiyagarajan K | 30 Jun, 2018, 05:51: AM
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