Simple machines make work easier by multiplying, reducing, or changing the direction of a force. The scientific formula for work is w = f x d, or, work is equal to force multiplied by distance. Simple machines cannot change the amount of work done, but they can reduce the effort force that is required to do the work
-Matt
The mirror formula for curved mirrors is:
where
f is the focal length of the mirror
is the distance of the object from the mirror
is the distance of the image from the mirror
The sign convention that should be used in order to find the correct values is the following:
-
: positive if the mirror is concave, negative if the mirror is convex
-
: positive if the image is real (located on the same side of the object), negative if it is virtual (located on the opposite side of the mirror)
<span>Displacement of the oscillator can be expressed in the mathematical form as:
x(t) = A*cos (ωt + δ),
therefore acceleration would be represented as => a = ¨x = â’ω^2*A*cos (ωt + δ),
the maximum acceleration will happen when the cosine is -1.
Hence, maximum acceleration => a-max = A*ω^2
The force associated with acceleration is F = ma.
Therefore maximum amplitude is
A = F / (m*ω^2)
= F / (4Ď€^2 * m * f^2) where f is the frequency of oscillation.
putting values in above equation we ge:
A = 50000 / 4Ď€^2 * 10^â’4 Ă— (10^6)^2
= 1.25 * 10^â’5
hence 1.25 * 10^-5 m/s^2</span>
D = 497.4x10⁻⁶m. The diameter of a mile of 24-gauge copper wire with resistance of 0.14 kΩ and resistivity of copper 1.7×10−8Ω⋅m is 497.4x10⁻⁶m.
In order to solve this problem we have to use the equation that relates resistance and resistivity:
R = ρL/A
Where ρ is the resistivity of the matter, the length of the wire, and A the area of the cross section of the wire.
If a mile of 24-gauge copper wire has a resistance of 0.14 kΩ and the resistivity of copper is 1.7×10⁻⁸ Ω⋅m. Determine the diameter of the wire.
First, we have to clear A from the equation R = ρL/A:
A = ρL/R
Substituting the values
A = [(1.7×10⁻⁸Ω⋅m)(1.6x10³m)]/(0.14x10³Ω)
A = 1.9x10⁻⁷m²
The area of a circle is given by A = πr² = π(D/2)² = πD²/4, to calculate the diameter D we have to clear D from the equation:
D = √4A/π
Substituting the value of A:
D = √4(1.9x10⁻⁷m²)/π
D = 497.4x10⁻⁶m
Answer:
<h2>6000 N</h2>
Explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 2000 × 3
We have the final answer as
<h3>6000 N</h3>
Hope this helps you