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3 years ago

How is an objects acceleration affected by its mass and the forces acting on it

1 answer:

3 0

If the force of an object is going against the way the object is going it will move slower. The mass makes the object move slower as well.

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(a) If the position of a chlorine ion in a membrane is measured to an accuracy of 5.00 µm, what is its minimum uncertainty in ve

DIA [1.3K]

a) The uncertainty on the velocity is $1.80 \cdot 10^{-4}m/s$

b) The kinetic energy of the ion is $5.9\cdot 10^{-15} eV$

Explanation:

We can solve this part by using the Heinsenberg's uncertainty principle, which states that:

$\Delta p \Delta x \geq \frac{h}{4\pi}$

where

$\Delta p$ is the uncertainty on the momentum, which can be rewritten as

$\Delta p = m \Delta v$ , where

$m$ is the mass

$\Delta v$ is the uncertainty on the velocity

$\Delta x$ is the uncertainty on the position

$h=6.63\cdot 10^{-34} Js$ is the Planck constant

In this problem, we have

$\Delta x = 5.00 \mu m= 5.0\cdot 10^{-6} m$ is the uncertainty on the position

$m = 5.86\cdot 10^{-26}kg$ is the mass of the ion

Re-arranging the equation and solving for $\Delta v$ , we find:

$m\Delta x \Delta v \geq \frac{h}{4\pi}\\\Delta v \geq \frac{h}{4\pi m \Delta x}=\frac{6.63\cdot 10^{-34}}{4\pi (5.86\cdot 10^{-26})(5.0\cdot 10^{-6})}=1.80 \cdot 10^{-4}m/s$

The kinetic energy of the ion is given by

$K=\frac{1}{2}mv^2$

where

m is the mass of the ion

v is its velocity

Here we have:

$m = 5.86\cdot 10^{-26}kg$ is the mass of the ion

$v=1.80\cdot 10^{-4} m/s$ is the velocity

Substituting,

$K=\frac{1}{2}(5.86\cdot 10^{-26})(1.80\cdot 10^{-4})^2=9.5\cdot 10^{-34} J$

Converting into electronvolts,

$K=\frac{9.5\cdot 10^{-34}}{1.6\cdot 10^{-19}}=5.9\cdot 10^{-15} eV$

which is approximately $10^{15}$ smaller than the typical molecular binding energy of 5 eV.

Learn more about kinetic energy:

brainly.com/question/6536722

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3 0

2 years ago

A wire of resistance 5.9 Ω is connected to a battery whose emf ε is 4.0 V and whose internal resistance is 1.2 Ω. In 2.9 min, ho

dexar [7]

Answer:

a) 390J

b) 322J

c) 68J

Explanation:

We need to calculate the power given by the battery. the power is given by:

$P=V*I\\I=\frac{V}{R}\\I=\frac{4}{5.9+1.2}\\I=0.56A\\P=2.24W$

Watts is J/s so:

$E=P*t\\E=2.24\frac{J}{s}*2.9min*(60\frac{s}{min})=390J$

The thermal energy in the wire is given by:

$E_w=P_w*t\\P_w=I^2*R_w=0.56^2*5.9=1.85W\\E_w=1.85\frac{J}{s}*2.9min*(60\frac{s}{min})=322J$

And the the dissipated thermal energy in the battery will be the remainig energy:

$E_b=E-E_w\\E_b=390-322=68J$

4 0

3 years ago

A velocity selector can be used to measure the speed of a charged particle. A beam of particles is directed along the axis of th

Contact [7]

Answer:

C. 450v

Explanation:

Using

Voltage= B*distance of separation*velocity

3mm x 0.3T x 5E5m/s

= 450v

5 0

3 years ago

What decimal power does the abbreviation p represent?

Sindrei [870]

Pico (:
i think so i dont know for sure

7 0

3 years ago

A car is traveling in a race.The car went from initial velocity of 35m/s to the final velocity of 65m/s in 5 seconds what was th

I am Lyosha [343]

Acceleration is the change in velocity divided by time. The change in velocity is -30m/s and time is 5s. If you divide -30m/s by 5s, you get -6m/s<span>².</span>

8 0

3 years ago

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