Answer:
![\frac{v_o^2}{19.62} + 2.35v_o](https://tex.z-dn.net/?f=%5Cfrac%7Bv_o%5E2%7D%7B19.62%7D%20%2B%202.35v_o)
Explanation:
The marble released through the trap door inside the elevator going upward at a speed vo would have an upward velocity of vo, but begins to experience a downward acceleration g = 9.81m/s^2. This is essentially same as throwing the marble up at a speed of vo. We can solve for the greatest height using the law of energy conservation.
When the marble is traveling up, its potential energy is converted to kinetic energy:
![E_p = E_k](https://tex.z-dn.net/?f=E_p%20%3D%20E_k)
![mgh = mv_o^2/2](https://tex.z-dn.net/?f=mgh%20%3D%20mv_o%5E2%2F2)
where m is the marble mass and h is the vertical distance traveled from the releasing point to the maximum height.
We can divide both sides by m
![gh = v_o^2/2](https://tex.z-dn.net/?f=gh%20%3D%20v_o%5E2%2F2)
![h = \frac{v_o^2}{2g} = \frac{v_0^2}{2*9.81} = \frac{v_0^2}{19.62}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7Bv_o%5E2%7D%7B2g%7D%20%3D%20%5Cfrac%7Bv_0%5E2%7D%7B2%2A9.81%7D%20%3D%20%5Cfrac%7Bv_0%5E2%7D%7B19.62%7D)
This is only partial of the height from the ground. To find the total height we need to add the height from the ground to the release point, which is the distance traveled by the elevator within time t = 2.35s at speed vo
![\frac{v_o^2}{19.62} + 2.35v_o](https://tex.z-dn.net/?f=%5Cfrac%7Bv_o%5E2%7D%7B19.62%7D%20%2B%202.35v_o)
Plug in the value for vo and we can calculate the maximum height
Answer:
The more possible energy you can exert, the higher the potential energy
Explanation:
Answer:
![C=1.12\times10^{-10}F](https://tex.z-dn.net/?f=C%3D1.12%5Ctimes10%5E%7B-10%7DF)
Explanation:
The capacitance of a parallel-plate capacitor is given by the formula:
![C=\frac{k \epsilon_0 A}{d}](https://tex.z-dn.net/?f=C%3D%5Cfrac%7Bk%20%5Cepsilon_0%20A%7D%7Bd%7D)
where k is the dielectric constant of the material between them, A the area of the plates, d the distance between them and
the permittivity, an universal constant.
Since the area of the plates is the product of their sides a=4.3cm=0.043m and b=4.2cm=0.042m, in S.I. we have:
![C=\frac{k \epsilon_0 ab}{d}=\frac{(2.1)(8.85\times10^{-12}F/m)(0.043m)(0.042m)}{(0.0003m)}=1.12\times10^{-10}F](https://tex.z-dn.net/?f=C%3D%5Cfrac%7Bk%20%5Cepsilon_0%20ab%7D%7Bd%7D%3D%5Cfrac%7B%282.1%29%288.85%5Ctimes10%5E%7B-12%7DF%2Fm%29%280.043m%29%280.042m%29%7D%7B%280.0003m%29%7D%3D1.12%5Ctimes10%5E%7B-10%7DF)
Answer:
24 cm/s
Explanation:
Applying
Pythagoras theorem,
a² = b²+c²............. Equation 1
Where a = resultant, b = vertical component, c = horizontal component
From the question,
Given: a = 26 cm/s, c = 10 cm/s
Substitute these values into equation 1
26² = b²+10²
676 = b²+100
b² = 676-100
b² = 576
b = √576
b = 24 cm/s
Answer:
Explanation:
Sexual reproduction is when a male and female have sexual inter course an and produce sex cells. A males sex cell is the sperm and the Females sex cell is the ova or egg cells.