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2 years ago

the density of a substance is 1.63 grams per mililiter what is the mass of 0.25 liters of the substance in grams?

Physics

1 answer:

Ira Lisetskai [31]2 years ago

7 0

<h2>Answer </h2>

The answer to this question is 407.5 g

<h2>Explanation</h2>

The density of the substance = 1.63 g/ml
The volum of the substance = 0.25 L
Mass of the substance = ? (Determined)

We know that

$1L = 1000ml$

So, 0.25 L will be equal to 250 ml. ( Unit must be same)

Formula

$Density = Mass/ Volume$

$1.63 = Mass/ 250 ml$

$1.63 * 250 = Mass$

$407.5 g = Mass$

Se, mass of the substance is 407.5 g

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A passenger compartment of a rotating amusement park ride contains a bench on which a book of mass

Basile [38]

a) 120 s

b) v = 0.052R [m/s]

Explanation:

The period of a revolution in a simple harmonic motion is the time taken for the object in motion to complete one cycle (in this case, the time taken to complete one revolution).

The graph of the problem is missing, find it in attachment.

To find the period of revolution of the book, we have to find the time between two consecutive points of the graph that have exactly the same shape, which correspond to two points in which the book is located at the same position.

The first point we take is t = 0, when the position of the book is x = 0.

Then, the next point with same shape is at t = 120 s, where the book returns at x = 0 m.

Therefore, the period is

T = 120 s - 0 s = 120 s

The tangential speed of the book is given by the ratio between the distance covered during one revolution, which is the perimeter of the wheel, and the time taken, which is the period.

The perimeter of the wheel is:

$L=2\pi R$

where R is the radius of the wheel.

The period of revolution is:

$T=120 s$

Therefore, the tangential speed of the book is:

$v=\frac{L}{T}=\frac{2\pi R}{120}=0.052R$

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2 years ago

When laser light of wavelength 632.8 nm passes through a diffraction grating, the first bright spots occur at ± 17.8 ∘ from the

bazaltina [42]

Look on this website http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/sinslit.html

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2 years ago

Calculate the de broglie wavelength (in picometers) of a hydrogen atom traveling at 440 m/s.

Aleonysh [2.5K]

De broglie wavelength, $\lambda = \frac{h}{mv}$ , where h is the Planck's constant, m is the mass and v is the velocity.

$h = 6.63*10^{-34}$

Mass of hydrogen atom, $m = 1.67*10^{-27}kg$

v = 440 m/s

Substituting

Wavelength $\lambda = \frac{h}{mv} = \frac{6.63*10^{-34}}{1.67*10^{-27}*440} = 0.902 *10^{-9}m = 902 *10^{-12}m$

$1 pm = 10^{-12}m\\ \\ So , \lambda =902 pm$

So the de broglie wavelength (in picometers) of a hydrogen atom traveling at 440 m/s is 902 pm

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2 years ago

Sam boards a ski lift, and rides up the mountain at 6 miles per hour. once at the top, sam immediately begins skiing down the mo

steposvetlana [31]

Let us divide this problem into two parts:
1) Sam rides up the mountain.
2) Sam rides down the mountain.

1.
Since speed is distance over time, as:
$v = \frac{s}{t}$

Therefore, distance would be:
$s_{up} = v_{up} * t_{up}$

Where s = distance,
v = speed,
t = time.

In the problem, Sam's speed while riding up is v = 6 miles/hour = (6 * 1609.34 / 60) = 160.934 meters/second(in SI Units). Plug this value in the above equation, you would get:

$s_{up} = 160.934 * t_{up}$ --- (A)

2.
As Sam rides down the mountain, the speed given is:
$v_{down} = 54 miles/h$

Convert it in SI units; the speed would be in SI unit:
v = 54 miles/hour = (54 * 1609.34 / 60) = 1448.406 meters/second(in SI Units). Plug this value in the distance equation, you would get:
$s_{down} = 1448.406 * t_{down}$

Since the $s_{up} = s_{down}$ , therefore,

$160.934 * t_{up} = 1448.406 * t_{down}$

=> $t_{up} = 9 t_{down}$

Now the condition is that the whole trip, up and down, takes 40 minutes(2400seconds), it means:
$t_{up} + t_{down} = 2400$

Plug in the value of $t_{up}$ in the above equation, you would get:
$t_{down} = 240$

Therefore,
$s_{down} = 1448.406*240$
$s_{down} = 347617.44$ meters (in relation to seconds)

$s_{down} = 5793.624$ meters (in relation to hours)

Now the last step is to convert meters into miles, you would get:
$s_{down} = 5793.624/1609.34 = 3.6miles$

So the answer is 3.6miles.

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2 years ago

Read 2 more answers

A scientist notices that an oil slick floating on water when viewed from above has many different colors reflecting off the surf

Tasya [4]

Answer:

The correct answer is (a) 312.5nm and (b) 125nm

Explanation:

The first step to take is to find The minimum thickness of the slick of the oil

Given that,

(a) tmin λ/2n

We substitute 750nm ( in air) for λ and 1.20 for n for the expression of minimum thickness t of the oil slick at that spot

thus,

tmin = (750nm)/2(1.2) = 312.5nm

The minimum thickness of the oil slick at that spot is =312.5nm

(B) we find the minimum thickness t

The minimum thickness of the oil slick at the spot will be calculated by,

tmin = λ/4n

we then 750nm ( in air) for λ and 1.50 for n in the expression for the minimum thickness of the slick of the oil.

tmin = (750nm)/4 (1.5) = 125nm

Therefore the minimum thickness t will now be = 125nm

3 0

2 years ago