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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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Which of the following is not a property of displacement?
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Read 2 more answers
A particle leaves the origin with a speed of 3 106 m/s at 38 degrees to the positive x axis. It moves in a uniform electric fiel
Salsk061 [2.6K]

Answer:

If the particle is an electron E_y = 3.311 * 10^3 N/C

If the particle is a proton, E_y = 6.08 * 10^6 N/C

Explanation:

Initial speed at the origin, u = 3 * 10^6 m/s

\theta = 38^0 to +ve x-axis

The particle crosses the x-axis at , x = 1.5 cm = 0.015 m

The particle can either be an electron or a proton:

Mass of an electron, m_e = 9.1 * 10^{-31} kg

Mass of a proton, m_p = 1.67 * 10^{-27} kg

The electric field intensity along the positive y axis E_y, can be given by the formula:

E_y = \frac{2 m u^2 sin \theta cos \theta}{qx} \\

If the particle is an electron:

E_y = \frac{2 m_e u^2 sin \theta cos \theta}{qx} \\

E_y = \frac{2 * 9.1 * 10^{-31} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\

E_y = 3311.13 N/C\\E_y = 3.311 * 10^3 N/C

If the particle is a proton:

E_y = \frac{2 m_p u^2 sin \theta cos \theta}{qx} \\

E_y = \frac{2 * 1.67 * 10^{-27} * (3*10^6)^2 *(sin38)( cos38)}{1.6*10^{-19} * 0.015} \\

E_y = 6.08 * 10^6 N/C

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A plank of length L=2.200 m and mass M=4.00 kg is suspended horizontally by a thin cable at one end and to a pivot on a wall at
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Hello!

Let's begin by doing a summation of torques, placing the pivot point at the attachment point of the rod to the wall.

\Sigma \tau = 0

We have two torques acting on the rod:
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- VERTICAL component of the tension at a distance of 'L' (L = 2.200 m)

Both of these act in opposite directions. Let's use the equation for torque:
\tau = r \times F

Doing the summation using their respective lever arms:

0 = L Tsin\theta  - dF_g

dF_g = LTsin\theta

Our unknown is 'theta' - the angle the string forms with the rod. Let's use right triangle trig to solve:

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Now, let's solve for 'T'.

T = \frac{dMg}{Lsin\theta}

Plugging in the values:
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