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Whitepunk [10]
3 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]3 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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A charge of 8.4 × 10–4 C moves at an angle of 35° to a magnetic field that has a field strength of 6.7 × 10–3 T.
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Answer:10842.33m/s

Explanation:

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How do you find density of a regular solid?
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3 years ago
A train starts at rest in a station and accelerates at a constant 0.987 m/s2 for 182 seconds. Then the train decelerates at a co
algol [13]

Answer:

\displaystyle X_T=66.6\ km

Explanation:

<u>Accelerated Motion </u>

When a body changes its speed at a constant rate, i.e. same changes take same times, then it has a constant acceleration. The acceleration can be positive or negative. In the first case, the speed increases, and in the second time, the speed lowers until it eventually stops. The equation for the speed vf at any time t is given by

\displaystyle V_f=V_o+a\ t

where a is the acceleration, and vo is the initial speed .

The train has two different types of motion. It first starts from rest and has a constant acceleration of 0.987 m/s^2 for 182 seconds. Then it brakes with a constant acceleration of -0.321 m/s^2 until it comes to a stop. We need to find the total distance traveled.

The equation for the distance is

\displaystyle X=V_o\ t+\frac{a\ t^2}{2}

Our data is

\displaystyle V_o=0,a=0.987m/s^2,\ t=182\ sec

Let's compute the first distance X1

\displaystyle X_1=0+\frac{0.987\times 182^2}{2}

\displaystyle X_1=16,346.7\ m

Now, we find the speed at the end of the first period of time

\displaystyle V_{f1}=0+0.987\times 182

\displaystyle V_{f1}=179.6\ m/s

That is the speed the train is at the moment it starts to brake. We need to compute the time needed to stop the train, that is, to make vf=0

\displaystyle V_o=179.6,a=-0.321\ m/s^2\ ,V_f=0

\displaystyle t=\frac{v_f-v_o}{a}=\frac{0-179.6}{-0.321}

\displaystyle t=559.5\ sec

Computing the second distance

\displaystyle X_2=179.6\times559.5\ \frac{-0.321\times 559.5^2}{2}

\displaystyle X_2=50,243.2\ m

The total distance is

\displaystyle X_t=x_1+x_2=16,346.7+50,243.2

\displaystyle X_t=66,589.9\ m

\displaystyle \boxed{X_T=66.6\ km}

8 0
3 years ago
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