Given Information:
Force = f = 1 pound
Stretched length = x = 0.1 ft
Required Information:
Work done = W = ?
Answer:
Work done = 6.05 ft.lb
Explanation:
From the Hook's law we know that
f(x) = kx
Where f is the applied force, k is spring constant and x is length of spring being stretched.
k = F/x
k = 1/0.1
k = 10 lb/ft
f(x) = 10x
The work done is given by
W = ∫ f(x) dx
Where f(x) = 10x and limits of integration are (1.1, 0)
W = ∫ 10x dx
W = 10*x²/2
W = 5x²
Evaluating the limits,
W = 5(1.1)² - 5(0)²
W = 6.05 - 0
W = 6.05 ft.lb
Therefore, 6.05 ft.lb work has been done in stretching the spring from its natural length to 1.1 feet beyond it's natural length.
Answer:
7.85 m/s^2
Explanation:
linear or tangential acceleration= dv/dt
⇒
=0.83 m/s^2
radial acceleration is given by =
⇒
= 7.81 m/s^2
total acceleration
putting values we get
= 7.85 m/s^2
According to the statement of OHM's Law,
The current in an electric circuit is directly proportional to the voltage across that circuit. This means, larger the voltage , more will be the current flow. Mathematically this can be stated as:
I = V/R
Here 1/R is the constant of proportionality and R represents the Resistance of the circuit.
This equation is also stated in texts as:
V = IR
So, the correct answer is option A. Voltage
Answer:
Explanation:
The acceleration due to gravity is in the downward direction. This means that it will oppose the upward motion of the stone. This will cause the stone to stop and begin to fall. Therefore, the sign of the final velocity is negative, since it is in the downward direction. The final velocity is given by:
A 135-dB is 60-dB louder that 75-dB.
The question says "how much louder" so for these kinds of questions you subtract.
good luck!