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3 years ago

Calculate the density of a material that has a mass of 52.457 and a volume of 13.5

1 answer:

7 0

The density is about 3.88. You just have to divide the mass and the volume. You can check this on a calculator, too. Hope this helped

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The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :

Delicious77 [7]

The maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

<h3>What is simple harmonic motion?</h3>

Simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side.

Simple Harmonic Motion

The given equation of the simple harmonic motion is

$x=3.5 sin (\frac{\pi }{2t} + \frac{5\pi }{4} )$

Data;

ω = π/2

k = 1.254N/m

Solving this

$\frac{dx}{dt} = -3.5 X \frac{\pi }{2} cos (\frac{x\pi t}{2}+\frac{5\pi }{4} )$

Let's calculate the maximum velocity.

$V_{m} =\frac{3.5\pi }{2}$

This is only possible when cos θ = -1

The maximum kinetic energy is

$K_m =\frac{1}{2} mv^2 = \frac{1}{2} X \frac{500}{1000} X \frac{7^2\pi ^2}^{4} ^2$

$w^2 = \frac{k}{m} \\k = w^2m\\k = \frac{\pi ^2}{4} X \frac{500}{1000} \\k =1.254 N/m$

Using the value of spring constant, we can find the maximum potential energy.

$P.E =\frac{1}{2} k x^2\\P.E =\frac{1}{2} X 1.234 X 3.5^2 \\P.E = 7.56 J$

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

ME = K.E + P.E

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy are equal to 7.56J.

Learn more on simple harmonic motion here;

brainly.com/question/15556430

#SPJ1

8 0

2 years ago

Who is the first person to trace the characteristics of successive generations of a living thing?

Andrei [34K]

Gregor Mendel was the first person to trace the characteristics of successive generations of a living thing.

7 0

3 years ago

Read 2 more answers

Can life be found/ sustain on Mars or other planets? What conditions are required to support life on another planet?

Mariana [72]

No. Oxygen( an atmosphere to contain the oxygen),water ,sunlight(energy)

7 0

2 years ago

By increasing the circuits resistance R, in a capacitive circuit the phase difference between the current in the circuit and pot

oksian1 [2.3K]

Answer:

B) Gets smaller

Explanation:

The difference of phase between current and voltage in a AC circuit is the phase angle and it depends on the value of Z ( circuit impedance)

Z = R + X where R is the resistive component and X the reactance component, which is due either to a presence of an inductor or a capacitor. In any case the total impedance depends on R the resistive, and the phase angle φ is:

tan⁻¹ φ = X/R

Have a look to a pure capactive circuit (we are talking about AC current) in this case current leads voltage by 90⁰. If we add a resistor in the circuit the current still will lead a voltage but in this condition the phase angle will be smaller,

If R increase, X/R decrease and tan⁻¹ φ also decrease

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3 years ago

What is the Mirror equation? What does it look like?

kipiarov [429]

Answer:

1/f = 1/D' + 1/D

The magnification equation relates the ratio of the image distance and object distance to the ratio of the image height (h^i) and object height (h^o). The magnification equation is stated as follows:

M= H^i/H^o = D^i/D^o

7 0

2 years ago