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N76 [4]
3 years ago
14

What magnitude charge creates a 4.70 N/C electric field at a point 3.70 m away?

Physics
1 answer:
Lana71 [14]3 years ago
6 0

Answer:

The magnitude of charge is 7.15 nC.

Explanation:

Given that,

Electric field = 4.70 N/C

Distance = 3.70 m

We need to calculate the magnitude of charge

Using formula of electric field

E=\dfrac{kq}{r^2}

q = \dfrac{Er^2}{k}

Where, k = Boltzmann constant

r = distance

q = charge

E = electric field

Put the value into the formula

q =\dfrac{4.70\times(3.70)^2}{9\times10^{9}}

q=7.15\times10^{-9}\ C

q = 7.15\ nC

Hence, The magnitude of charge is 7.15 nC.

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Answer:

B. t = 0.250s

Explanation:

A. An image with the sketch of the bat emitting a sound, which reflects on a surface and return to the bat is attached below.

B. In order to calculate the time that the pulse emitted by the bat, return to the bat, you first calculate the time that pulse takes to arrive to the object.

You use the following formula:

x=vt      (1)

x: distance to the object = 43m

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v: speed of sound beat = 343 m/s  

You solve the equation (1) for t:

t=\frac{x}{v}=\frac{43m}{343m/s}=0.125s

The time on which the bat hears the echo is twice the value of t, that is:

t'=2(0.125s)=0.250s

The time on which bat heart the echo of its sound, from the moment on which bat emitted it, is 0.250s

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4 years ago
A push or a pull is called _____. User: The metric unit of force is the _____.
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A 62-kg person jumps from a window to a fire net 20.0 m directly below, which stretches the net 1.4 m. Assume that the net behav
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Answer:

a) x = 0.098

b) x = 2.72 m

Explanation:

(a) To find the stretch of the fire net when the same person is lying in it, you can assume that the net is like a spring with constant spring k. It is necessary to find k.

When the person is falling down he acquires a kinetic energy K, this energy is equal to the elastic potential energy of the net when it is max stretched.

Then, you have:

K=U\\\\\frac{1}{2}mv^2=\frac{1}{2}kx^2        (1)

m: mass of the person = 62kg

k: spring constant = ?

v: velocity of the person just when he touches the fire net = ?

x: elongation of the fire net = 1.4 m

Before the calculation of the spring constant, you calculate the final velocity of the person by using the following formula:

v^2=v_o^2+2gy

vo: initial velocity = 0 m/s

g: gravitational acceleration = 9.8 m/s^2

y: height from the person jumps = 20.0m

v=\sqrt{2gy}=\sqrt{2(9.8m/s^2)(20.0m)}=14\frac{m}{s}

With this value you can find the spring constant k from the equation (1):

mv^2=kx^2\\\\k=\frac{mv^2}{x^2}=\frac{(62kg)(14m/s)^2}{(1.4m)^2}=6200\frac{N}{m}

When the person is lying on the fire net the weight of the person is equal to the elastic force of the fire net:

W=F_e\\\\mg=kx

you solve the last expression for x:

x=\frac{mg}{k}=\frac{(62kg)(9.8m/s^2)}{6200N/m}=0.098m

When the person is lying on the fire net the elongation of the fire net is 0.098m

b) To find how much would the net stretch, If the person jumps from 38 m, you first calculate the final velocity of the person again:

v=\sqrt{2gy}=\sqrt{2(9.8m/s^2)(38m)}=27.29\frac{m}{s}

Next, you calculate x from the equation (1):

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(62kg)(27.29m/s)^2}{6200N/m}}\\\\x=2.72m

The net fire is stretched 2.72 m

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tangare [24]

Answer;

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