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Whitepunk [10]
2 years ago
15

A 0.0400-g positive charged ball with charge q = 6.40 μC is resting on a flat, frictionless horizontal surface. For a time of t

= 0.0420 s a constant electric field of magnitude E = 7.80 × 102 N/C is directed vertical to the ball which makes the ball rise to a height of d. After this time the electric field is turned off and the ball returns to the surface. Find the height in meters which the ball is able to be lifted off the surface.
Physics
1 answer:
Leto [7]2 years ago
3 0

Answer:

The height is 0.1014 m

Explanation:

Given that,

Mass = 0.0400 g

Charge q= 6.40\ \mu C

Time t = 0.0420 s

Electric field E=7.80\times10^{2}\ N/C

We need to calculate the electric force on the particle

Using formula of electric force

F=qE

Put the value into the formula

F_{e}=6.40\times10^{-6}\times7.80\times10^{2}

F_{e}=0.004992= 0.499\times10^{-2}\ N

We need to calculate the gravitational force

Using formula of force

F=mg

Put the value into the formula

F_{g}=0.0400\times10^{-3}\times9.8

F_{g}=0.000392 = 0.392\times10^{-3}\ N

We need to calculate the net force

F_{net}=F_{e}-F_{g}

F_{net}=0.499\times10^{-2}-0.392\times10^{-3}

F_{net}=0.004598= 0.4598\times10^{-2}\ N

We need to calculate the acceleration

Using newton's law

F = ma

a = \dfrac{F}{m}

a=\dfrac{0.4598\times10^{-2}}{0.0400\times10^{-3}}

a =114.95\ m/s^2

We need to calculate the height

Using equation of motion

s = ut+\dfrac{1}{2}at^2

s=0+\dfrac{1}{2}\times114.95\times(0.0420)^2

s=0.1014\ m

Hence, The height is 0.1014 m

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If the temperature of a volume of ideal gas increases for 100°C to 200°C, what happens to the average kinetic energy of the mole
mina [271]

Answer:\Delta E=2.0715\times 10^{-21} J

Explanation:

Given

Temperature of the gas is increased from 100 to 200

Also we know that average kinetic energy of the molecules is

E=\frac{3}{2}\cdot \frac{R}{N_A}T

Where

R=Gas constant

N_A=Avogadro's number

T=Temperature in kelvin

\frac{R}{N_A}=1.381\times 10^{-23}

So kinetic energy increases by

\Delta E=\frac{3}{2}\times 1.381\times 10^{-23}\left ( 200-100\right )

\Delta E=2.0715\times 10^{-21} J

8 0
3 years ago
What would the final volume of 40 L of gas at 80 pascals be if the pressure increases to 130 pascals?
melomori [17]

Answer:

Final volume, V2 = 24.62 L

Explanation:

Given the following data;

Initial volume = 40 L

Initial pressure = 80 Pa

Final pressure = 130 Pa

To find the final volume V2, we would use Boyles' law.

Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.

Mathematically, Boyles law is given by;

PV = K

P_{1}V_{1} = P_{2}V_{2}

Substituting into the equation, we have;

80 * 40 = 130V_{2}

3200 = 130V_{2}

V_{2} = \frac {3200}{130}

V_{2} = 24.62

Final volume, V2 = 24.62 Liters

5 0
2 years ago
The cheetah is one of the fastest-accelerating animals, because it can go from rest to 16.2 m/s (about 36 mi/h) in 2.4 s. If its
Scilla [17]
<h2>Power of cheetah is 5576.85 W = 7.48 hp</h2>

Explanation:

Power is the ratio of energy to time.

Here we need to consider kinetic energy,

Mass, m = 102 kg

Initial velocity = 0 m/s

Final velocity = 16.2 m/s

Time, t = 2.4 s

Initial kinetic energy = 0.5 x Mass x Initial velocity² = 0.5 x 102 x 0² = 0 J

Final kinetic energy = 0.5 x Mass x Final velocity² = 0.5 x 102 x 16.2² = 13384.44 J

Change in energy = Final kinetic energy - Initial kinetic energy

Change in energy = 13384.44 - 0

Change in energy = 13384.44 J

Power = 13384.44  ÷ 2.4 = 5576.85 W = 7.48 hp

Power of cheetah is 5576.85 W = 7.48 hp

7 0
2 years ago
TWO QUESTIONS!
solong [7]

The correct answer to the question is : 1) Converting energy and 2) Within about twenty years, natural gas forms.

EXPLANATION:

In coal fired power plants, the water is heated by burning coals. The heat produced in this process will convert water into steam. The steam is allowed to rotate the turbine. The turbine is attached to a generator which converts the kinetic energy of the steam into electric energy due to electromagnetic induction.

Hence, turbine helps in converting energy.

As per the second question, Walt listed the steps that occur during the formation of natural gas.

The natural gas is produced due to natural phenomenon. For this, millions of years are passed. So, it is a long range process in which the fossil of animals and planets buried beneath the surface are converted into natural gas under high pressure.

Hence, the mistake of Walt is  that the natural gas is produced withing twenty years.

7 0
2 years ago
Read 2 more answers
The velocity v(t) in the table below is increasing for 0_t_12.
katen-ka-za [31]
<span>When n=4 subdivisions distance traveled = 40 X 12 = 480

When n=2 subdivisions distance traveled = 30 X 6 = 180 

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7 0
3 years ago
Read 2 more answers
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