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finlep [7]
3 years ago
10

An object is located 20.0 cm from a convex lens. The lens focuses light at a

Physics
1 answer:
V125BC [204]3 years ago
6 0

The Answer Is :  D. 20.0 cm

My Reason : These types of problems can all be solved using the lens or mirror equation.

1/20 +1/q= 1/10

q=20 cm

The image is formed behind the lens at 2f or the center of curvature.

It is real, inverted, and the same size as the object

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Chegg ) Alice owns 20 grams of a radioactive isotope that has a half-life of ln(4) years. (a) Find an equation for the mass m(t)
stepladder [879]

Answer:

m(t)=20e^{-0.5t}

Explanation:

Given:

Initial mass of isotope (m₀) = 20 g

Half life of the isotope (t_{1/2}) = (ln 4) years

The general form for the radioactive decay of a radioactive isotope is given as:

m(t)=m_0e^{-kt}

Where,

m(t)\to mass\ after\ 't'\ years\\t\to years\ passed\\k\to rate\ of\ decay\ per\ year

So, the equation is: m(t)=20e^{-kt}

At half-life, the mass is reduced to half of the initial value.

So, at t=t_{1/2},m(t)=\frac{m_0}{2}. Plug in these values and solve for 'k'. This gives,

\frac{m_0}{2}=m_0e^{-k\times\ln 4}\\\\0.5=e^{-k\times\ln 4}\\\\Taking\ natural\ log\ on\ both\ sides,we\ get:\\\\\ln(0.5)=-k\times \ln 4\\\\k=\frac{\ln 0.5}{-\ln 4}=0.5

Hence, the equation for the mass remaining is given as:

m(t)=20e^{-0.5t}

8 0
3 years ago
The Gulf Stream off the east coast of the United States can flow at a rapid 3.9 m/s to the north. A ship in this current has a c
Alex Ar [27]

Answer:

72.54 degree west of south

Explanation:

flow = 3.9 m/s north

speed = 11 m/s

to find out

point due west from the current position

solution

we know here water is flowing north and ship must go south at an equal rate so that the velocities cancel and the ship just goes west

so it become like triangle with 3.3 point down and the hypotenuse is 11

so by triangle

hypotenuse ×cos(angle) = adjacent side

11 ×cos(angle) = 3.3

cos(angle) = 0.3

angle = 72.54 degree west of south

3 0
3 years ago
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Which statement best describes the density of the outer planets?
gavmur [86]

Answer:

Saturn is mainly composed of the lightest two gases known, hydrogen and helium. It is the only planet in our solar system whose density is less than water.

Explanation:

5 0
4 years ago
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What is missing from this graph?<br><br> (A) A title.<br> (B) Axis labels.<br> (C) A trendline.
SIZIF [17.4K]
Axis labels. We don’t know what is being compared with the data
5 0
3 years ago
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A cabbie is trying to stop when he notices a fare is whistling them over. The car has 18750 J of energy. If the cab is 2100 kg.
Bogdan [553]

Answer:

Explanation:

ASSUMING that the cab has ONLY kinetic energy,

(it's not sitting over a loaded spring, high on a hill, on fire)

KE = ½mv²

v = √(2KE/m)

v = √(2(18750)/2100) = √17.85714...

v = 4.225771...

v = 4.23 m/s or about 15.2 km/hr

5 0
3 years ago
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