Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly h
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Answer:
g'(10) =
Explanation:
Since g is the inverse of f ,
We can write
g(f(x)) = x <em> </em><em>(Identity)</em>
Differentiating both sides of the equation we get,
g'(f(x)).f'(x) = 1
g'(10) = --equation[1] Where f(x) = 10
Now, we have to find x when f(x) = 10
Thus 10 = + 2
= 8
x =
Since f(x) = + 2
f'(x) = -
f'() = -4 × 4 = -16
Putting it in equation 1, we get:
We get g'(10) = -
Answer:
<h2><u>Given </u><u>:</u><u>-</u></h2>- Mass = 1025 kg
- Acceleration = 9.8 m/s²
Force
<h2><u>Solution</u><u> </u><u>:</u><u>-</u></h2>We know that
F = mg
F = 1025 × 9.8
F = 10,045 N
Or,
10045/1000 = 10.045 Kilo Newton
Answer:
The average power developed by a motor is 4905 Watts.
Explanation:
The average power is given by:
Where:
W: is the work
t: is the time = 8.0 s
First, let's find the work:
Where:
F: is the force
d: is the displacement = 10.0 m
The force is in the vertical motion, and since the movement of the mass is at constant speed the force is:
Hence, the average power is:
Therefore, the average power developed by a motor is 4905 Watts.
I hope it helps you!