In which beaker was the average kinetic energy of the particles the greatest?

Assuming that the cost of 16-gauge steel sheet metal is $25.00 per square meter, what is the ideal radius and height of a cylind

Anton [14]

Answer: Radius = 32.7 cm and height = 65.5 cm

Explanation:

An oil drum must have a volume of 218 liters or 218*1000cm^3 = 218,000 cm^3

The price is per square meter, so if we reduce the surface of the oil drum, we will pay less:

So we want to play with the measures of the oil drum in such a way that the surface is minimized.

Now, first, the volume of the oil drum (a cylinder) is:

V = pi*r^2*h

where pi = 3.14, r is the radius and h is the height.

and the surface is:

S = 2*pi*r^2 + 2*pi*r*h

we know that:

pi*r^2*h = 218,000 cm^3

r^2*h = 218,000cm^3/3.14 = 70,096.5 cm^3

now we can write

h = 70,096.5 cm^3/r^2

now we can replace it in the surface equation:

S = 2*pi*r^2 + 2*pi*r*h

= 6.28*(r^2 + 70,096.5 cm^3/r)

So we want to minimize this, we can derivate it and find the zero:

S' = 6.28(2*r - 70,096.5 cm^3/r^2) = 0

2r = 70,096.5 cm^3/r^2

r^3 = (70,096.5 cm^3)/2

r = ∛( (70,096.5 cm^3)/2 ) = 32.7cm

And then the height is:

h = 70,096.5 cm^3/r^2 = 70,096.5 cm^3/(32.7cm)^2 = 65.5cm

4 0

3 years ago

In this system, ___________________ energy from the sunlight causes the solar panel to create ___________________ energy which f

Alex_Xolod [135]

Answer:

solar, heat,heat, light

5 0

3 years ago

Find the displacement of a hiker if he travels 3.0 m N and then 2.5 m S.

ankoles [38]

Answer:

.5 m N

Explanation:

Displacement just means distance from starting point, so moving 3 m north then 2.5 m south is the same as if you took 3 steps forward then 2.5 steps backward. The end point is only .5 away from the start point.

4 0

3 years ago

A 400.0 kg storage box is held 10 m above ground by a forklift. What is its gravitational potential energy? (PE = mgh)

Kobotan [32]

Answer:

The gravitational potential energy (PE) of a particle or a system of particles is a form of energy that exists due to its position. Mathematically, it is expressed as the product of mass, gravitational acceleration, and the vertical displacement.

Explanation:

Given data:

Mass of the storage box, $m = 400.0 \ kg$

Height, $h = 10 \ m$

The gravitational potential energy of the storage box can be expressed as,

$PE = mgh$

$PE = 400.0 \times 9.80 \times 10$

$PE = 39200 \ \rm J.$

8 0

4 years ago

Read 2 more answers

Coach Hogue is riding his motorcycle in a circle on wet pavement. Suddenly the bike slides out from under him. What failed to pr

Arisa [49]

Answer:

The correct option is;

Force of Friction

Explanation:

As coach Hogue rode his motorcycle round in circle on the wet pavement, the motorcycle and the coach system tends to move in a straight path but due to intervention by the coach they maintain the circular path

The motion equation is

v = ωr and we have the centripetal acceleration given by

α = ω²r and therefore centripetal force is then

m×α = m × ω²r = m × v²/r

The force required to keep the coach and the motorcycle system in their circular path can be obtained by the impressed force of friction acting towards the center of the circular motion.

5 0

4 years ago