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3 years ago

Walking converts what type of energy into mechanical energy

2 answers:

8 0

<span>Walking converts "Chemical energy" into "Mechanical energy"

That chemical energy stored in our body as "ATP"

Hope this helps!

</span>

densk [106]3 years ago

4 0

The answer is chemical energy.

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(a) Consider the initial-value problem dA/dt = kA, A(0) = A0 as the model for the decay of a radioactive substance. Show that, i

murzikaleks [220]

Answer:

a) $t = -\frac{ln(2)}{k}$

b) See the proof below

$A(t) = A_o 2^{-\frac{t}{T}}$

c) $t = 3T \frac{ln(2)}{ln(2)}= 3T$

Explanation:

Part a

For this case we have the following differential equation:

$\frac{dA}{dt}= kA$

With the initial condition $A(0) = A_o$

We can rewrite the differential equation like this:

$\frac{dA}{A} =k dt$

And if we integrate both sides we got:

$ln |A|= kt + c_1$

Where $c_1$ is a constant. If we apply exponential for both sides we got:

$A = e^{kt} e^c = C e^{kt}$

Using the initial condition $A(0) = A_o$ we got:

$A_o = C$

So then our solution for the differential equation is given by:

$A(t) = A_o e^{kt}$

For the half life we know that we need to find the value of t for where we have $A(t) = \frac{1}{2} A_o$ if we use this condition we have:

$\frac{1}{2} A_o = A_o e^{kt}$

$\frac{1}{2} = e^{kt}$

Applying natural log we have this:

$ln (\frac{1}{2}) = kt$

And then the value of t would be:

$t = \frac{ln (1/2)}{k}$

And using the fact that $ln(1/2) = -ln(2)$ we have this:

$t = -\frac{ln(2)}{k}$

Part b

For this case we need to show that the solution on part a can be written as:

$A(t) = A_o 2^{-t/T}$

For this case we have the following model:

$A(t) = A_o e^{kt}$

If we replace the value of k obtained from part a we got:

$k = -\frac{ln(2)}{T}$

$A(t) = A_o e^{-\frac{ln(2)}{T} t}$

And we can rewrite this expression like this:

$A(t) = A_o e^{ln(2) (-\frac{t}{T})}$

And we can cancel the exponential with the natural log and we have this:

$A(t) = A_o 2^{-\frac{t}{T}}$

Part c

For this case we want to find the value of t when we have remaining $\frac{A_o}{8}$

So we can use the following equation:

$\frac{A_o}{8}= A_o 2^{-\frac{t}{T}}$

Simplifying we got:

$\frac{1}{8} = 2^{-\frac{t}{T}}$

We can apply natural log on both sides and we got:

$ln(\frac{1}{8}) = -\frac{t}{T} ln(2)$

And if we solve for t we got:

$t = T \frac{ln(8)}{ln(2)}$

We can rewrite this expression like this:

$t = T \frac{ln(2^3)}{ln(2)}$

Using properties of natural logs we got:

$t = 3T \frac{ln(2)}{ln(2)}= 3T$

8 0

3 years ago

Epithelial tissues often form the lining of organs and secrete substances such as digestive enzymes.

krek1111 [17]

Answer:

ohh yes. answer is true

6 0

3 years ago

Read 2 more answers

What is the science of how geothermal energy is collected?

Aleksandr-060686 [28]

........................

3 0

3 years ago

An object is released from rest high above the surface of the earth. When it has fallen halfway to the surface, its kinetic ener

aksik [14]

Answer:

There will be an increase in the kinetic energy

Explanation:

A falling object converts the gravitational potential energy to the kinetic energy. The potential energy is then converted to kinetic energy followed by the conversation:

$E_{p} = E_{k}$

where Ep and Ek are potential and kinetic energies respectively.

This potential energy is then converted to kinetic energy. Halfway, the kinetic energy is equal to KE1.

However, the kinetic energy is given by the equation:

$KE = \frac{1}{2}mv^{2}$

As the velocity increases, the kinetic energy increases. Hence KE2 will be greater than KE1

4 0

3 years ago

Can you explain how population changes in size

geniusboy [140]

Answer:

The population growth rate is the rate at which the population changes in size.

Explanation:

The rate of change is determined by subtracting the number of people that leave the population, through death or emigration, from the number of individuals that enter the population, through birth or immigration.

7 0

3 years ago