In a machine, work output is less than work input because some energy is converted into thermal energy. true or false.

Two identical asteroids travel side by side while touching one another. If the asteroids are composed of homogeneous pure iron a

victus00 [196]

Answer:

diameter = 21.81 ft

Explanation:

The gravitational force equation is:

$F=\frac{GMm}{R^{2} }$

Where:

F => Gravitational force or force of attraction between two masses
M => Mass of asteroid 1
m => Mass of asteroid 2
R => Distance between asteroids 1 and 2 (from center of gravity)

We also know that the asteroids are identical so their masses are identical:

M=m

Since R is the distance between centers of the two asteroids and their diameters are identical (see attachment), we can conclude that:

R=d=2r

We don´t know the mass of the asteroids but we know they are composed of pure iron, so we can relate their masses to their density:

m=ρV

This is going to be helpful because the volume of a sphere is:

$\frac{4}{3}\pi r^{3}$

And know we can write our original force of gravity equation in terms of the radius of the asteroids:

$F=\frac{GMm}{R^{2} } =\frac{Gmm}{(2r)^{2} } =\frac{Gm^{2} }{4r^{2} }$
$F=\frac{G ( \frac{4}{3}\pi r^{3}ρ)^{2} }{4r^{2} }$
$F= \frac{G(16)\pi ^{2} r^{6} ρ^{2}}{(9)(4)r^{2} } =\frac{G(16)\pi ^{2} r^{4}ρ^{2} }{36}$

Now let´s plug in the values we know:

$F = 1 lb$ mutual gravitational attraction force
$G = 6.67(10)^{-11}$ gravitational constant
$ρ_{iron} =491.5 \frac{lb}{ft^{3} }$

$1= \frac{6.67(10)^{-11} \pi ^{2} r^{4} (491.5)^{2}}{36}$

Solve for r and multiply by 2 because 2r = diameter

$d=2\sqrt[4]{\frac{1}{7.07(10)^{-5} } }$

Result is d = 21.81 Feet

6 0

2 years ago

"How do changes in voltage or resistance affect current in an electric circuit?"

kicyunya [14]

We can answer the question by looking at the Ohm's law, which gives us the relationship between voltage (V), current (I) and resistance (R) of a circuit:
$V=IR$
equivalently, we can rewrite it as
$I= \frac{V}{R}$

by looking at the equation, we can make the following observations:
1) The current is proportional to the voltage: therefore, if the voltage increases, the current increases as well; if the voltage decreases, the current decreases too.
2) The current is inversely proportional to the resistance: if the resistance increases, the current decreases, and if the resistance decreases, the current increases.

5 0

3 years ago

What charge are electrons

TEA [102]

Answer: negative

Explanation: it may seem that neutrons would be negative but neutrons are neutral, protons are positive, and electrons are negative

6 0

3 years ago

Read 2 more answers

As mentioned in this week’s notes on page 4, the electrons of an atom can occupy different energy shells within the atom (simila

Nostrana [21]

The assume that goes with the inquiry demonstrates the wavelenghts of the photons transmitted by Balmer arrangement change , from vitality levels (n) 3, 4, 5, and 6 to the vitality level (n) 2, in hydrogen particles.

These are the values shown in the figure

Transition wavelength of the photon emitted
nm

from n=3 to n=2 656<------ this is the value requested

from n=4 to n=2 486

from n=5 to n=2 434

from n=6 to n=2 410

The wavelength of a photon discharged from the n = 3 shell in hydrogen is the primary information of the table, i.e 656 nm.

Using the conversion factor from nm to m that results is :

656 nm * 1 m / (10^9 nm) = 656 * 10 ^ -9 m.
Hope this helps

7 0

3 years ago

What impulse results if the force acting on an object is described by the force-time graph shown?

Hoochie [10]

The correct answer to this question is "2.1 kgm/s." The impulse results if the force acting on an object that is described by the force-time graph shown is that 2.1 kgm/s. Based on the graph, it shows like a plateau with the flat at the force of 2.1 N.

8 0

3 years ago