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:
1) 65 m
2) 40 m/s downward
Explanation:
Using for both questions the kinematic equation
v² = u² + 2as
and ignoring air resistance.
1) h = 60 + √(20²/(2(9.8))) = 64.51753...
2) v = √(20² + 2(9.8)(60)) = 39.69886...
Answer:
Explanation:
a ) V = 3 cos(0.5t)
differentiating with respect to t
dv /dt = -3 x .5 sin0.5t
= -1.5 sin0.5t.
acceleration = - 1.5 sin 0.5t
when t = 3 s
acceleration = - 1.5 sin 1.5
= - 1.496 ms⁻²
v = 3 cos.5t
b ) dx/dt = 3 cos 0.5 t
dx = 3 cos 0.5 t dt
integrating on both sides
x = 3 sin .5t / .5
x = 6 sin0.5t
At t = 2 s
x = 6 sin 1
x = 5.05 m
Today: fusion<span> power. </span>Fusion energy<span>, simply, is the exact opposite of fission </span>energy<span>, which comes from splitting an atom and is widely </span>used<span> to power </span>nuclear<span> plants and weapons. </span>Fusion<span> occurs constantly on our sun, which produces most of its </span>energy <span>via the </span>nuclear fusion<span> of hydrogen into helium.
Hope this helps! =)</span>
An open system can exchange both matter and energy with the surroundings. Δ H is measured when
an open system is used as a calorimeter.
A closed system has a fixed amount of matter, but it can exchange energy with the surroundings. Δ U is
measured when a closed system is used as a calorimeter because there is no change in volume and thus no
expansion work can be done.
An isolated system has no contact with its surroundings. The universe is considered an isolated system but on
a less profound scale, your thermos for keeping liquids hot approximates an isolated system.