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Elza [17]
3 years ago
13

1. In an atom, an electron and a proton are separated by a distance of 1 x 10-8m. a) Find the force on the electron. b) Assuming

a circular orbit (which wouldn't happen, but we'll go with it). Find the velocity of the electron.
Physics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

(a) 2.3 x 10^-12 N

(b) 1.6 x 10^5 m/s

Explanation:

q1 = 1.6 x 10^-19 C

q2 = 1.6 x 10^-19 C

r = 1 x 10^-8 m

(a) the electrostatic force is given by

F = K q1 x q2 / r^2

F = ( 9 x 10^9 x 1.6 x 10^-19 x 1.6 x 10^-19) / (1 x 10-^-8)^2

F = 2.3 x 10^-12 N

The force is attractive in nature because the nature of charge on electron and proton s opposite to each other.

(b) The electrostatic force is balanced by the centripetal force actig on the electron.

F = mv^2 / r

where, r be the radius of orbit and v be the velocity of electron in the orbit.

2.3 x 10^-12 = (9.1 x 10^-31 x v^2) / (1 x 10^-8)

v = 1.6 x 10^5 m/s

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An electron with a speed of 1.2 × 107 m/s moves horizontally into a region where a constant vertical force of 5.2 × 10-16 N acts
Aliun [14]

Answer: 0.642mm

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v = velocity of electron = 1.2×10^7 m/s,

m = mass of electron = 9.11×10^-31 kg.

We will assume the motion of the object to be of a constant acceleration, hence newton's laws of motion is applicable.

Recall that f = ma.

Where a = acceleration

This acceleration of vertical because it occurred when the object deflected.

5.2×10^-16 = 9.11×10^-31 (ay)

ay = 5.2×10^-16 / 9.11×10^-31

ay = 5.71×10^14 m/s²

For the horizontal motion, x = vt

Where x = horizontal distance = 0.019m and v is the velocity = 1.2×10^7 m/s,

By substituting the parameters, we have that

0.019 = 1.27×10^7 × t

t = 0.019 / 1.27 × 10^7

t = 1.5×10^-9 s

The vertical distance (y) is gotten by using the formulae below

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y = 0.00128475/2

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The point in a fixed pulley resembles the support of a lever. The remainder of the pulley behaves like the fixed arm of a first-class lever, since it rotates around a point. The distance from the fulcrum is the equivalent on the two sides of a fixed pulley. A fixed pulley has a mechanical advantage of one. Hence, a fixed pulley doesn't increase the force.

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