<h3><u>Answer;</u></h3>
<em>4. Only some metals are attracted by magnets; these metals are called ferromagnetic.</em>
<h3><u>Explanation;</u></h3>
- <u><em>Magnets are those materials that have the ability of producing magnetic field.</em></u> Magnets attracts materials called magnetic materials and have no effect on non magnetic materials such as wood.
- <em><u>Magnetic materials are materials that are attracted by a magnet, these includes some metal such as iron and steel.</u></em> However some metals are non-magnetic materials, these include, gold, silver, and copper among others,
- Therefore,<em><u> it would be appropriate to say that only some metals are attracted by magnets; these metals are called ferromagnetic.</u></em>
Answer:
P = 31.83 W
Explanation:
Our data are,
Magnitude of the force F = 26 N
Radius of the circular path r = 0.26 m
The angle between force and handle
°
Time t = 2 s
We know that the formula to find the velocity is given by
Velocity ![v = \frac{2\pi r}{t}](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B2%5Cpi%20r%7D%7Bt%7D)
![v= \frac{2\pi r}{t}](https://tex.z-dn.net/?f=v%3D%20%5Cfrac%7B2%5Cpi%20r%7D%7Bt%7D)
![v=\frac{2 \pi 0.26}{2}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2%20%5Cpi%200.26%7D%7B2%7D)
![v= 0.8168m/s](https://tex.z-dn.net/?f=v%3D%200.8168m%2Fs)
We know also that the formula to find the power is given by,
![P = F*v](https://tex.z-dn.net/?f=P%20%3D%20F%2Av)
![P = (26)(0.8168)](https://tex.z-dn.net/?f=P%20%3D%20%2826%29%280.8168%29)
![P = 31.83 W](https://tex.z-dn.net/?f=P%20%3D%2031.83%20W)
Answer:
Power is equal to work divided by time. In this example, P = 9000 J /60 s = 150 W . You can also use our power calculator to find work - simply insert the values of power and time.
Answer:
The portfolio should invest 48.94% in equity while 51.05% in the T-bills.
Explanation:
As the complete question is not given here ,the table of data is missing which is as attached herewith.
From the maximized equation of the utility function it is evident that
![Weight=\frac{E_M-r_f}{A\sigma_M^2}](https://tex.z-dn.net/?f=Weight%3D%5Cfrac%7BE_M-r_f%7D%7BA%5Csigma_M%5E2%7D)
For the equity, here as
is percentage of the equity which is to be calculated
is the Risk premium whose value as seen from the attached data for the period 1926-2015 is 8.30%
is the risk aversion factor which is given as 4.
is the standard deviation of the portfolio which from the data for the period 1926-2015 is 20.59
By substituting values.
![Weight=\frac{E_M-r_f}{A\sigma_M^2}\\Weight=\frac{8.30\%}{4(20.59\%)^2}\\Weight=0.4894 =48.94\%](https://tex.z-dn.net/?f=Weight%3D%5Cfrac%7BE_M-r_f%7D%7BA%5Csigma_M%5E2%7D%5C%5CWeight%3D%5Cfrac%7B8.30%5C%25%7D%7B4%2820.59%5C%25%29%5E2%7D%5C%5CWeight%3D0.4894%20%3D48.94%5C%25)
So the weight of equity is 48.94%.
Now the weight of T bills is given as
![Weight_{T-Bills}=1-Weight_{equity}\\Weight_{T-Bills}=1-0.4894\\Weight_{T-Bills}=0.5105=51.05\%\\](https://tex.z-dn.net/?f=Weight_%7BT-Bills%7D%3D1-Weight_%7Bequity%7D%5C%5CWeight_%7BT-Bills%7D%3D1-0.4894%5C%5CWeight_%7BT-Bills%7D%3D0.5105%3D51.05%5C%25%5C%5C)
So the weight of T-bills is 51.05%.
The portfolio should invest 48.94% in equity while 51.05% in the T-bills.