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The force between two charges is 10 N. If the distance between the two charges is halved, what is the new force between the char

inessss [21]

Answer: 16N

Explanation:

According to Coulomb's law, the force existing between two charges is directly proportional to the product of their charges and inversely proportional to the distance between the charges. Mathematically,

F = kq1q2/r²

Where F is the force between them

q1 and q2 are the charges

r is the distance between them.

If the force between them is 10N, the formula becomes;

10 = kq1q2/r²... (1)

If the distance between them is now halved, the force will become

F = kq1q2/(r/2)²

F = kq1q2/(r²/4)

F = 4kq1q2/r² ... (2)

Dividing equation 1 by 2 we have;

4/F = (kq1q2/r²)÷ (4kq1q2/r²)

4/F = kq1q2/r²×r²/4k1q1q2

4/F = 1/4

Cross multiplying we have;

F = 4×4

F = 16N

Therefore the new force between the charges is 16N

8 0

3 years ago

Use the worked example above to help you solve this problem. Find the energy transferred in 1 h by conduction through a concrete

raketka [301]

Answer:

The energy transferred is 2.93 MJ.

Explanation:

Given that,

Time = 1 h = 3600 s

Area $A = 1.6\times4.00$

Width $\Delta x=0.20 m$

Temperature $T_{1}=20^{\circ}\ C$

$T_{2}=5^{\circ}\ C$

For concrete wall,

The thermal conductivity

k = 1.7 W/mK

Using Fourier's law

$Q=kA\dfrac{dt}{\Delta x}$

Where, A = area

$\Delta x$ = width

$\Delta t$ = change in temperature

k = thermal conductivity

Put the value into the formula

$Q=1.7\times 1.6\times 4.00\times\dfrac{15}{0.20}$

$Q=816\ W$

The energy transferred in 1 hour

$E = Q\times t$

$E=816\times3600$

$E=2937600$

$E = 2.93\times10^{6}\ J$

$E = 2.93\ MJ$

Hence, The energy transferred is 2.93 MJ.

4 0

2 years ago

A 16300 kg sailboat experiences an eastward force 17300 N due to the tide pushing its hull while the wind pushes the sails with

Alinara [238K]

Answer: $2.95 m/s^2$

Explanation:

Given

mass of sailboat 16300 kg

Eastward Force $(F_1)$ =17300 N

Northwest Force $(F_2)$ =59000

$F_1=17300\hat{i}$

$F_2=-59000cos\hat{i}+59000\hat{j}$

Resultant Force F is given by vector addition of two

$F=F_1+F_2$

$F=17300\hat{i}+-59000cos45\hat{i}+59000sin45\hat{j}$

$F=-24419.30\hat{i}+41719.30\hat{j}$

|F| gives resultant magnitude

$|F|=\sqrt{(24419.30)^2+(414719.30)^2}$

|F|=48340.48 N

therefore acceleration is given by

$a=\frac{F}{m}=\frac{48340.48}{16300}=2.95 m/s^2$

5 0

2 years ago

Lawrence Kohlberg’s research involved __________ of different ages and basing his theory on their reactions and responses. A. ju

andreev551 [17]

The answer is c...........................

6 0

3 years ago

Read 2 more answers

How do mechanical and chemical digestion work together to break down food

Anastasy [175]

Answer:

Explanation:

Digestion is the breaking down of food in order to release energy for the body. The body obtains its required nutrients through the process of digestion. In digestion, food is broken down and energy is released.

Mechanical digestion involves the breakage of food into tiny bits. Chemical digestion uses chemicals secreted in the body to completely and finally breakdown food.

Mechanical digestion helps the course of chemical digestion. In mechanical digestion, food is broken down by chewing, cudding, churning e.t.c. Here large chunks of food are broken down into tiny bits. The tiny fragments of food has more surface area than the bulk mass. Increase in surface area makes chemical reactions on food very fast. As the food is being subjected to mechanical breakage, chemical action takes place simultaneously.

The food being broken would then be mixed with chemical substances in the body for proper breakage. Chemical digestion completes the digestive process. Chemically digested food can easily be taken into the blood stream where they are transported to different sites within the body.

6 0

3 years ago