Macronutrients include carbohydrates, proteins, lipids, and ____

In an old-fashioned amusement park ride, passengers stand inside a 4.9-m-diameter hollow steel cylinder with their backs against

Viefleur [7K]

Answer:

24.07415 rpm

Explanation:

$\mu$ = Coefficient of friction = 0.63

v = Velocity

d = Diameter = 4.9 m

r = Radius = $\frac{d}{2}=\frac{4.9}{2}=2.45\ m$

m = Mass

g = Acceleration due to gravity = 9.81 m/s²

Here the frictional force balances the rider's weight

$f=\mu F_n$

The centripetal force balances the weight of the person

$\mu m\frac{v^2}{r}=mg\\\Rightarrow \mu \frac{v^2}{r}=g\\\Rightarrow v=\sqrt{\frac{gr}{\mu}}\\\Rightarrow v=\sqrt{\frac{9.81\times 2.45}{0.63}}\\\Rightarrow v=6.17656\ m/s$

Velocity is given by

$v=\omega r\\\Rightarrow \omega=\frac{v}{r}\\\Rightarrow \omega=\frac{6.17656}{2.45}\\\Rightarrow \omega=2.52104\ rad/s$

Converting to rpm

$2.52104\times \frac{60}{2\pi}=24.07415\ rpm$

The minimum angular speed for which the ride is safe is 24.07415 rpm

4 0

3 years ago

You have two electrical devices plugged into the same socket in parallel and draws 120 V. The first device has a resistance of 2

erik [133]

The devices don't "draw" 120v. The 120v comes to your house from the power company. They decide it should be 120v and that's what they send you. It's hypothetically technically possible for you to change that, but if you try it, you'll definitely burn the house down.

The total resistance of those two devices in parallel is 6 and 2/3 ohms. That doesn't depend on what they're plugged into. It would still be 6 and 2/3 ohms if they were connected in parallel, wrapped in tissue, sealed in a jar of chicken soup and stored in a box on a high shelf.

But since they ARE plugged into 120v, they draw 18 Amperes from the socket, and they turn all of that electrical energy into 2160 watts of heat. That's about the same as a good size toaster oven, and you have to figure out a way to get rid of all that heat before you burn the house down.

4 0

3 years ago

In the late 19th century, great interest was directed toward the study of electrical discharges in gases and the nature of so-ca

svlad2 [7]

Answer:

a) He found the same value of q/m for different cathode materials.

b) y = $- \frac{e}{m}\ \frac{E_o v_o^2 }{2d^2}$ , c) v = $\frac{E_o}{B_o}$

Explanation:

In Thomson's experiments he was able to measure the deflection of the light beam under the effect of the magnetic field and with these results find the e / m relationship, which in all cases is the same, therefore the most important conclusion is that the value e E / m is constant for all materials.

b) In the part of the plates the electrons are accelerated by the electric field,

F = ma

- e E = m a

a = - (e/m) E₀

the distance traveled is

X axis

x = v₀ t

the separation of the plates is x = d

t = vo / d

Y axis

y = v_{oy} t + ½ to t²

y = ½ a t²

y = $- \frac{e}{m}\ \frac{E_o v_o^2 }{2d^2}$

c) In this case there is a magnetic field B₀ and the electrons have no deflection

F = - e E + e v x B

if there is no deviation F = 0

e E = e v B

v = $\frac{E_o}{B_o}$

5 0

3 years ago

A 12 V battery applies a potential difference to three resistors in series. If the potential at point P is 0.0 V, the potential

galina1969 [7]

This question is incomplete, the complete question is on the image uploaded along this answer.

Answer:

the potential at point B is 5 V, Option d) is the correct answer

Explanation:

Given that;

from the image;

R = 3 + 4 + 5 = 12 Ω

so I = 12/12 = 1 A

Q = 0 + 12 = 12 V

now

VA - VQ = - I × 3 = -3 V

VA = VQ - 3 = 12 - 3 = 9 V

VB - VA = - I × 4Ω = - 4 V

⇒VB = VA - 4 = 9 V - 4 V = 5 V

Therefore the potential at point B is 5 V

Option d) is the correct answer

4 0

3 years ago

A solid sphere of radius R, a solid cylinder of radius R, and a rod of length R all have the same mass, and all three are rotati

Snowcat [4.5K]

Answer:

b. the cylinder

Explanation:

From the information given:

We understood that the mass of the sphere, cylinder, and rod length is the same with the same angular speed.

Taking their moments:

For the solid sphere; $\text{The moment of inertia :}$ $I_s$ = $\dfrac{2}{5} \times m \times r^2$

The moment of inertia of the cylinder, $I_c = 0.5\times m \times r^2$

The moment of inertia of rod, $I_r =\dfrac{ m * r^2 }{12}$

The rotational kinetic energy is directly corresponding to the moment of inertia.

Thus, the cylinder has the greatest rotational kinetic energy.

7 0

3 years ago

Macronutrients include carbohydrates, proteins, lipids, and _____.