© The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s 45, P = 2180
Work out the power (to 1 DP) when the speed is 35 m/s
Answers
Given : The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
When s 45, P = 2180
To Find : the power when the speed is 35 m/s
Solution:
The power, P (watts), of a car engine is proportional to the square of its speed, s (m/s).
=> P ∝ s²
=> P = ks²
s 45, P = 2180
=> 2180 = k (45)²
=> k = 2180/(45)²
power when the speed is 35 m/s
=> P = k (35)²
=> P = (2180/(45)²) (35)²
=> P = 2180 ( 7/9)²
=> P = 1,318.765 W
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