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Snezhnost [94]
3 years ago
14

Strength of the electric force imagine two 1.0-g bags of protons, one at the earth's north pole and the other at the south pole.

Physics
1 answer:
Vladimir79 [104]3 years ago
4 0
(a) The mass of one proton is m_p = 1.67 \cdot 10^{-27} kg. Each bag has a mass of M=1.0 g=0.001 kg, so the number of protons in each bag is
N= \frac{M}{m_p}= \frac{0.001 kg}{1.67 \cdot 10^{-27}kg}=6.0 \cdot 10^{23}

(b) The distance between the two bags is twice the Earth's radius:
r=2 \cdot 6.37 \cdot 10^6 m=1.27 \cdot 10^7 m

The gravitational attraction between the two bags is given by
F_g = G  \frac{M_1 M_2}{r^2}=(6.67 \cdot 10^{-11} m^3 kg^{-1} s^{-2}) \frac{(0.001 kg)^2}{(1.27 \cdot 10^7 m)^2}=4.1 \cdot 10^{-31}N

To calculate the electrostatic repulsion, we should first calculate the total charge of each bag, which is the charge of one proton times the number of protons:
Q=eN=(1.6 \cdot 10^{-19} C)(6.0 \cdot 10^{23})=9.6 \cdot 10^4 C

And now we can calculate the electrostatic repulsion between the two bags:
F_e = k_e  \frac{Q_1 Q_2}{r^2}=(8.99 \cdot 10^9 Nm^2C^{-2}) \frac{(9.6 \cdot 10^4 C)^2}{(1.27 \cdot 10^7 m)^2}=5.14 \cdot 10^5 N

(c) we can easily see from point (b) that the gravitational attraction between the two bags is very tiny, so it cannot be felt. Instead, the electrostatic repulsion between the two bags is a very large number, so this can be felt.
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(a) See graph in attachment

The appropriate graph to draw in this part is a graph of velocity vs time.

In this problem, we have a horse that accelerates from 0 m/s to 15 m/s in 10 s.

Assuming the acceleration of the horse is uniform, it means that the velocity (y-coordinate of the graph) must increase linearly with the time: therefore, the velocity-time graph will appear as a straight line, having the final point at

t = 10 s

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(b) 1.5 m/s^2

The average acceleration of the horse can be calculated as:

a=\frac{v-u}{t}

where

v is the final velocity

u is the initial velocity

t is the time interval

In this problem,

u = 0

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t = 10 s

Substituting,

a=\frac{15-0}{10}=1.5 m/s^2

(c) 75 m

For a uniformly accelerated motion, the distance travelled can be calculated by using the suvat equation:

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

where

s is the distance travelled

u is the initial velocity

t is the time interval

a is the acceleration

In this problem,

u = 0

t = 10 s

a=1.5 m/s^2

Substituting,

s=0+\frac{1}{2}(1.5)(10)^2=75 m

(d) See attached graphs

In a uniformly accelerated motion:

- The distance travelled (x) follows the equation mentioned in part c,

x=ut+\frac{1}{2}at^2

So, we see that this has the form of a parabola: therefore, the graph x vs t will represents a parabola.

- The acceleration is constant during the motion, and its value is

a=1.5 m/s^2 (calculated in part b)

therefore, the graph acceleration vs time will show a flat line at a constant value of 1.5 m/s^2.

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