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dimulka [17.4K]
3 years ago
6

The half-life of cobalt-60 is 5.3 years. If you have a sample that contains 10.0 g of the isotope, how much will be left after 1

5.9 years?
A. 2.5 g

B. 5.0 g

C. 1.25 g

D. 0.625 g
Physics
1 answer:
vfiekz [6]3 years ago
6 0
I think the answer will be b
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The chances of being involved in a fatal crash is higher at night then during the day
Ierofanga [76]
Indeed because some leave headlights off and ignore that fact since there are street lights around.
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4 years ago
A particle moves in a straight line with the velocity function v ( t ) = sin ( w t ) cos 3 ( w t ) . find its position function
Sunny_sXe [5.5K]

Integrating the velocity equation, we will see that the position equation is:

$f(t)=\frac{\cos ^3(\omega t)-1}{3}

<h3>How to get the position equation of the particle?</h3>

Let the velocity of the particle is:

$v(t)=\sin (\omega t) * \cos ^2(\omega t)

To get the position equation we just need to integrate the above equation:

$f(t)=\int \sin (\omega t) * \cos ^2(\omega t) d t

$\mathrm{u}=\cos (\omega \mathrm{t})

Then:

$d u=-\sin (\omega t) d t

\Rightarrow d t=-d u / \sin (\omega t)

Replacing that in our integral we get:

$\int \sin (\omega t) * \cos ^2(\omega t) d t$

$-\int \frac{\sin (\omega t) * u^2 d u}{\sin (\omega t)}-\int u^2 d t=-\frac{u^3}{3}+c$

Where C is a constant of integration.

Now we remember that $u=\cos (\omega t)$

Then we have:

$f(t)=\frac{\cos ^3(\omega t)}{3}+C

To find the value of C, we use the fact that f(0) = 0.

$f(t)=\frac{\cos ^3(\omega * 0)}{3}+C=\frac{1}{3}+C=0

C = -1 / 3

Then the position function is:

$f(t)=\frac{\cos ^3(\omega t)-1}{3}

Integrating the velocity equation, we will see that the position equation is:

$f(t)=\frac{\cos ^3(\omega t)-1}{3}

To learn more about motion equations, refer to:

brainly.com/question/19365526

#SPJ4

4 0
2 years ago
What are the advantages and disadvantages of series and parallel circuits?
DerKrebs [107]
Parallel circuit

Advandages: 1. Every unit that is connected in a parallel circuit gets equal amount of voltage.

2. It becomes easy to connect or disconnect a new element without affecting the working of other elements.

3. If any fault happened to the circuit, then also the current is able to pass through the circuit through different paths.

Disadvantages: 1. It requires the use of lot of wires.

2. We cannot increase or multiply the voltage in a parallel circuit.
3. Parallel connection fails at the time when it is required to pass exactly same amount of current through the units.

series circuit

Advantages: 1. Series circuits do not overheat easily. This makes them very useful in the case of something that might be around a potentially flammable source, like dry plants or cloth.

2. Series circuits are easy to learn and to make. Their simple design is easy to understand, and this means that it’s simple to conduct repairs .

3. we can add more power devices, they have a higher output in terms of voltage .

4. The current that flows in a series circuit has to flow through every component in the circuit. Therefore, all of the components in a series connection carry the same current.

Disadvantages: 1.If one point breaks in the series circuit,the total circuit will break.

2. As the number of components in a circuit increases ,greater will be the circuit resistance.
6 0
3 years ago
1. It s defficult to lift a heavier stone than the lighter one. why​
stiks02 [169]

Answer:

lThe effect of the attraction of the earth on a bigger stone can be observed more than the effect of attraction of the earth on a smaller one. hence it is difficult to lift a large stone than the smaller one on the earth surface.

4 0
3 years ago
You are given a vector in the xy plane that has a magnitude of 84.0 units and a y-component of -67.0 units.
melomori [17]

Answer:

Explanation:

a)Magnitude = \sqrt{(x1-y2)^{2}  + (x1-x2)^{2} }

84=\sqrt{(0- (-67))^{2}  + (x-0)^{2} }

x= +50.67 or -50.67 units

b) We are given that the resultant is entirely in the -ve x direction which means that the y-component of the resultant is 0; It means that the y-component of the next vector = -ve of the y component of the initial vector i.e 67.

To make the magnitude 80 units in the negative x direction where the y component is 0, the x component must be -130.67(-50.67 - 80) as the x component is + 50.67units.

Magnitude = \sqrt{(0- (67))^{2}  + (-130.67)^{2} } = 146.85 units

c) The direction vector = 67/146.85 i  - 130.67/146.85 j where i corresponds to the vector in y direction and j corresponds to the vector in x direction. Or this vector is at an angle of 180 - Tan^{-1}(67/130.67)degrees i.e 152.85 degrees from the +ve x-axis.

5 0
3 years ago
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