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EastWind [94]
2 years ago
10

Two charged particles attract each other with a force of magnitude F acting on each. If the charge of one is doubled and the dis

tance separating the particles is also doubled, the force acting on each of the two particles has magnitude
(a) F/2,
(b) F/4,
(c) F,
(d) 2F,
(e) 4F,
(f) None of the above.
Physics
1 answer:
irakobra [83]2 years ago
4 0

Answer:

F/2

Explanation:

In the first case, the two charges are Q1 and Q2 and the distance between them is r. K is the Coulomb's constant

Hence;

F= KQ1Q2/r^2 ------(1)

Where the charge on Q1 is doubled and the distance separating the charges is also doubled;

F= K2Q1 Q2/(2r)^2

F2= 2KQ1Q2/4r^2 ----(2)

F2= F/2

Comparing (1) and (2)

The magnitude of force acting on each of the two particles is;

F= F/2

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A spring with a spring constant of 50 N/m is stretched 15cm. What is the force and energy associated with this stretching?
Olenka [21]
Data:
F (force) = ? (Newton)
k (<span>Constant spring force) = 50 N/m
x (</span>Spring deformation) = 15 cm → 0.15 m

Formula:
F = k*x

Solving: 
F = k*x
F = 50*0.15
\boxed{\boxed{F = 7.5\:N}}\end{array}}\qquad\quad\checkmark

Data:
E (energy) = ? (joule)
k (Constant spring force) = 50 N/m
x (Spring deformation) = 15 cm → 0.15 m

Formula:
E = \frac{k*x^2}{2}

Solving:(Energy associated with this stretching)
E = \frac{k*x^2}{2}
E =  \frac{50*0.15^2}{2}
E =  \frac{50*0.0225}{2}
E =  \frac{1.125}{2}
\boxed{\boxed{E = 0.5625\:J}}\end{array}}\qquad\quad\checkmark

7 0
3 years ago
A force F with arrow applied to an object of mass m1 produces an acceleration of 3.10 m/s2. The same force applied to a second o
Bas_tet [7]

Answer:

(a) The value of the ratio m₁/m₂ is 0.581

(b)  the acceleration of the combined masses is 1.139 m/s²

Explanation:

Given;

The acceleration of force applied to M₁, a₁ = 3.10 m/s²

The same force applied to M₂ has acceleration, a₂ = 1.80 m/s²

Let this force = F

According Newton's second law of motion;

F = ma

(a) the value of the ratio m₁/m₂

since the applied force is same in both cases,  M₁a₁ = M₂a₂

\frac{m_1}{m_2} = \frac{a_2}{a_1} \\\\\frac{m_1}{m_2} = \frac{1.8}{3.1} \\\\\frac{m_1}{m_2} = 0.581

(b) the acceleration of m₁ and m₂ combined as one object under the action force F

F = ma

a = \frac{F}{M} \\\\a =  \frac{F}{m_1 + m_2} \\\\a = \frac{F}{0.581m_2 + m_2}\\\\a = \frac{F}{1.581m_2}

But, m_2 = \frac{F}{a_2} \\\\a = \frac{F}{1.581m_2} =  \frac{F*a_2}{1.581F} \\\\a = \frac{a_2}{1.581} \\\\a = \frac{1.8}{1.581} = 1.139 \ m/s^2

Therefore, the acceleration of the combined masses is 1.139 m/s²

5 0
3 years ago
If you dive underwater, you notice an uncomfortable pressure on your eardrums due to the increased pressure. The human eardrum h
irinina [24]

Answer:

h=10m

Explanation:

From the question we are told that:

Area a=70 x 10^{-6}

Force F=7N

Generally the equation for Pressure is mathematically given by

Pressure = Force/Area

P=\frac{F}{A}

P=\frac{ 7}{(70 * 10^{-6})}

P= 1*10^{5} Pa

Generally the equation for Pressure is also mathematically given by

P=hpg

Therefore

h=\frac{P}{hg}

h=\frac{10000}{1000*9.8}

h=10m

6 0
3 years ago
A pendulum bob is made from a sphere filled with water. What would happen to the frequency of vibration of this pendulum if the
Nady [450]

Answer:

The frequency would not change because the frequency of a simple pendulum does  not depend on mass.

Explanation:

7 0
3 years ago
"room temperature" is often taken to be 68âf. what is this on the celsius scale?
SIZIF [17.4K]
I believe it would be, if I have calculated correctly, 25 degrees C.
3 0
3 years ago
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