Convert 500 cubic feet into gallons. Round your answer to the nearest whole number.

Suppose that the speed of an electron traveling 2.0 km/s is known to an accuracy of 1 part in 105 (i.e., within 0.0010%). What i

OverLord2011 [107]

Answer: $2.89(10)^{-3} m$

Explanation:

The <u>Heisenberg uncertainty principle</u> postulates that the fact each particle has a wave associated with it, imposes restrictions on the ability to determine its position and speed at the same time.

In other words:

It is impossible to measure simultaneously (according to quantum physics), and with absolute precision, the value of the position and the momentum (linear momentum) of a particle. Thus, in general, the greater the precision in the measurement of one of these magnitudes, the greater the uncertainty in the measure of the other complementary variable.

Mathematically this principle is written as:

$\Delta x \geq \frac{h}{4 \pi m \Delta V}$ (1)

Where:

$\Delta x$ is the uncertainty in the position of the electron

$h=6.626(10)^{-34}J.s$ is the Planck constant

$m=9.11(10)^{-31}kg$ is the mass of the electron

$\Delta V$ is the uncertainty in the velocity of the electron.

If we know the accuracy of the velocity is $0.001\%$ of the velocity of the electron $V=2 km/s=2000 m/s$ , then $\Delta V$ is:

$\Delta V=2000 m/s(0.001\%)$

$\Delta V=2000 m/s(\frac{0.001}{100})$

$\Delta V=2(10)^{-2} m/s$ (2)

Now, the least possible uncertainty in position $\Delta x_{min}$ is:

$\Delta x_{min}=\frac{h}{4 \pi m \Delta V}$ (3)

$\Delta x_{min}=\frac{6.626(10)^{-34}J.s}{4 \pi (9.11(10)^{-31}kg) (2(10)^{-2} m/s)}$ (4)

Finally:

$\Delta x_{min}=2.89(10)^{-3} m$

5 0

3 years ago

What is the dimensional formula of thermal conductivity?

Inga [223]

Answer:

The dimension of thermal conductivity is M1L1T−3Θ−1, expressed in terms of the dimensions mass (M), length (L), time (T), and temperature (Θ). Other units which are closely related to the thermal conductivity are in common use in the construction and textile industries.

Explanation:looked it up for ya

6 0

3 years ago

Competitive divers pull their limbs in and curl up their bodies when they do somersaults. Just before entering the water, they f

Akimi4 [234]

Answer:

The angular velocity is reduced when the body is fully stretched.

Explanation:

Divers keep there bodies as compact as possible just to increase the angular velocity.

When they extend their limbs to enter straight down the angular momentum helps them to dive. The angular velocity is reduced when the body is fully stretched and diver's inertia is also not reduced. Thus a streamlined shape is formed which helps to penetrate more deeper into the water.

The impact area is reduced when fully stretched body is entered in to the water.

3 0

3 years ago

Two ropes support a load of 478 kg. The two ropes are perpendicular to each other, and the tension in the first rope is 2.2 time

sveta [45]

Answer:

T₂ = 1937.68 N

Explanation:

First, we will calculate the weight of the object:

$W = mg = (478\ kg)(9.81\ m/s^2)\\W = 4689.18\ N$

Now, we will calculate the resultant tension in the ropes. Since the ropes are perpendicular. Therefore,

$T = \sqrt{T_1^2+T_2^2}\\$

where,

T = Resultant Tension

T₁ = Tension in rope 1

T₂ = Tension in rope 2

According to the given condition tension in the first rope is 2.2 times the tension in the second rope:

T₁ = 2.2 T₂

Therefore

$T = \sqrt{(2.2T_2)^2 + T_2^2}\\\\T = 2.42T_2$

Now, the weight of the object must be equal to the resultant tension for equilibrium:

$T = W\\2.42T_2 = 4689.18\ N\\\\$

5 0

3 years ago

Pete is driving down a highway and sees a brown sign. All of the brown signs

pychu [463]

Answer:

C

Explanation:

He was using visual clues to read the signs.

6 0

3 years ago