Respuesta :
Answer:
P=2200 , K=35
Step-by-step explanation:
The power, P (watts), of a car engine is proportional to the square of its speed, k%28m%2Fs%29; it means if you have two different powers and speeds, you will have a proportion
P%3Ak%5E2=P%5B1%5D%3Ak%5B1%5D%5E2 or
P%2Fk%5E2=P%5B1%5D%2Fk%5B1%5D%5E2
When given:
k=35, P=2200
Work out the power P%5B1%5D (to 1DP) when the speed is k%5B1%5D=40%28m%2Fs%29
so,
P=2200
k=35
k%5B1%5D=40
and you need P%5B1%5D
2200%2F35%5E2=P%5B1%5D%2F40%5E2
2200%2F1225=P%5B1%5D%2F1600
1.79592=P%5B1%5D%2F1600
1.79592%2A1600=P%5B1%5D
P%5B1%5D=2873.5 watts
If the speed is 30 m per second. Then the power of the car engine will be 1160.8 watts.
What is proportion?
A proportionate expression is one in which two items are equal.
The power, P (watts), of a car engine is proportional to the square of its speed s (m/s).
P ∝ s²
P = ks²
We have
s = 35
P = 1580
Then the value of k will be
1580 = (35)² × k
k = 1.2897
Then the equation will be
P = 1.2897s²
If the speed is 30 m per second. Then the power of the car engine will be
P = 1.2897 x 30²
P = 1160.8 watts
More about the proportion link is given below.
https://brainly.com/question/14335762
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