Answer:
Narendra Modi
Explanation:
The answer depends on what year you are talking about on, Narendra Modi was a prime minister of india since 2014. If you are missing information on your question tell me so I can try and tell you the answer,
Hope this helped,
have a good day :]
A particle with charge 3.01 µC on the negative x axis and a second particle with charge 6.02 µC on the positive x axis are each a distance 0.0429 m from the origin. Where should a third particle with charge 9.03 µC be placed so that the magnitude of the electric field at the origin is zero?
Answer:
The third particle should be at 0.0743 m from the origin on the negative x-axis.
Explanation:
Let's assume that the third charge is on the negative x-axis. So we have:
[tex]E_{1}+E_{3}-E_{2}=0[/tex]
We know that the electric field is:
[tex]E=k\frac{q}{r^{2}}[/tex]
Where:
k is the Coulomb constant q is the charger is the distance from the charge to the pointSo, we have:
[tex]k\frac{q_{1}}{r_{1}^{2}}+k\frac{q_{3}}{r_{3}^{2}}-k\frac{q_{2}}{r_{2}^{2}}=0[/tex]
Let's solve it for r(3).
[tex]\frac{3.01}{0.0429^{2}}+\frac{9.03}{r_{3}^{2}}-\frac{6.02}{0.0429^{2}}=0[/tex]
[tex]r_{3}=0.0743\: [/tex]
Therefore, the third particle should be at 0.0743 m from the origin on the negative x-axis.
I hope it helps you!
The following charges are located inside a submarine: 6.95 µC, −9.00 µC, 27.0 µC, and −90.5 µC. (a) Calculate the net electric flux through the hull of the submarine. (b) Is the number of electric field lines leaving the submarine greater than, equal to, or le
Answer:
a) - 7.40 * 10^6 Nm^2/C^2
b) More lines enter than leave the surface
Explanation:
a)
As per the Gauss Law
ε * Intg E.dS = q
E.dS = flux over the whole hull of the submarine
ε = permittivity of vacuum
flux = Σ (charges)/permittivity of vacuum = ( 6.95 + -9 + 27 + -90.5 )*10^-6/8.85 x 10^-12 =
= -0.00006555 /(8.85 x 10^-12)
= - 7.40 * 10^6 Nm^2/C^2
b) The net electric flux is negative, more lines enter than leave the surface.
Assume the following vehicle are all moving at the same speed.it would be harder to change the velocity of which vehicle.a.bicycle.B.car.c.motorcycle.D.semi-tractor trailer.
Answer:im just guessing d but i think its d though
Explanation:
it pretty obvious
A solid sphere and a hollow sphere each of mass M and radius R are released at the same time from the top of an inclined plane. Which one of the following statements is necessarily true?
A.Both spheres will reach the bottom at the same time.
B. The hollow sphere will reach the bottom with the greater kinetic energy.
C.The solid sphere will reach the bottom first.
D. The hollow sphere will reach the bottom first.
E. The solid sphere will reach the bottom with the greater kinetic energy.
Answer:
C. The solid sphere will reach the bottom first.
E. The solid sphere will reach the bottom with the greater kinetic energy.
Explanation:
To answer this,the sphere that has the smaller mass moment of inertia will be the one that will have the largest acceleration down the plane. And we know that higher acceleration means higher speed.
Now, moment of inertia of both spheres are;
I_solid sphere = (2/5)mr² = 0.4mr²
I_hollow sphere = (2/3)mr² = 0.67 mr²
Now, it is clear that the solid sphere has the smaller mass moment of inertia. This means that the solid sphere will have more acceleration and as well higher speed and will thus reach the bottom first.
Also, the higher the speed, the higher the kinetic energy since K.E = ½mv².
Thus, options C & E are correct.
In which direction of the wave motion do longitude waves transfer energy ?
Answer:
Hello There!!
Explanation:
The answer is O parallel.
hope this helps,have a great day!!
~Pinky~
The area around a magnet containing all of magnetic Lines of force is called
Answer:
Magnetic Field
Explanation:
The area around a magnet containing all of magnetic Lines of force is called the magnetic field.
A car moves round a circular track of radius 0.3m of two revolution per/sec find its angular velocity.
Answer:
the angular velocity of the car is 12.568 rad/s.
Explanation:
Given;
radius of the circular track, r = 0.3 m
number of revolutions per second made by the car, ω = 2 rev/s
The angular velocity of the car in radian per second is calculated as;
From the given data, we convert the angular velocity in revolution per second to radian per second.
[tex]\omega = 2 \ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} = 4\pi \ rad/s = 12.568 \ rad/s[/tex]
Therefore, the angular velocity of the car is 12.568 rad/s.
In the series circuit, if the potential difference across the battery is 20 V and the potential difference across R1 is 12 V, what is the potential difference across R2
Answer:
The correct answer is "8 V".
Explanation:
Given:
Potential difference across battery,
= 20 V
Potential difference across R1,
= 12 V
Now,
On applying the Kirchorff loop, we get
⇒ [tex]E-I_1R_1-I_2R_2=0[/tex]
⇒ [tex]E-V_1-V_2=0[/tex]
⇒ [tex]V_2=E-V_1[/tex]
On putting values, we get
⇒ [tex]=20-12[/tex]
⇒ [tex]= 8 \ V[/tex]
The potential difference across the resistance R2 will be "8 Volts.
What is Kirchoff;s law?According to the kirchoff's law in a loop of a circuit when there are number of the resistances so the sum of all the potential differences will be zero.
It is given that:
Potential difference across battery,= 20 V
Potential difference across R1,= 12 V
Now,
On applying the Kirchorff loop, we get
⇒ [tex]\rm E-I_1R_1-I_2R_2=0[/tex]
⇒ [tex]\rm E-V_1-V_2=0[/tex]
⇒ [tex]\rm V_2=E-V_1[/tex]
On putting values, we get
⇒ [tex]V_2=20-12=8\ volt[/tex]
Hence the potential difference across the resistance R2 will be "8 Volts.
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What is the magnitude of the current in the R= 6 Ω resistor?
kirchhoff
Answer:
Here's an explanation but not the answer
Explanation:
When a resistor is traversed in the same direction as the current, the ... Traversing the internal resistance r1 from c to d gives −I2r1. ... I1 = I2 + I3 = (6−2I1) + (22.5− 3I1) = 28.5 − 5I1.
Jill is pushing a box across the floor. Which represents the upward force perpendicular to the floor?
Fp
Ff
FN
Fg help plz
Answer:
FN
Explanation:
When Jill is pushing a box across the floor. the upward force perpendicular to the floor is [tex]F_{N}[/tex]. Therefore option C is correct.
What is Force ?Force is responsible for the motion of an object. it produces acceleration in the body. According to newton's second law force is mass times acceleration i.e. F =ma. Its SI unit is N which is equivalent to kg.m/s². There are two types of forces, balanced force and unbalanced force.
Balanced forces are those forces which are opposite in direction and equal in magnitude. When Net force acting on a body is zero then we call it as balanced force. Balanced force is not responsible for the motion of the body. ex. when two persons pulling rope on both end with equal magnitude which cause them to be balanced force have 0 net force.
Unbalanced forces are those when resultant of all the forces is not equal to zero is called as unbalanced force. unbalanced force is responsible for the motion of the body.
in our problem what we can see, there is box on the horizontal floor and Jill is pushing a box across a floor, the force is applied by Jill on the box is [tex]F_{a}[/tex]. The box has weight mg.
the normal upward force before applying the force is [tex]F_{N}[/tex]=mg
as Jill is applying additional force [tex]F_{a}[/tex], Normal upward force will become
as [tex]F_{N}[/tex] = [tex]F_{a} + mg[/tex].
Hence upward force which is perpendicular to the floor is [tex]F_{N}[/tex].
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A point source of light illuminates an aperture 1.70 m away. A 11.0 cm -wide bright patch of light appears on a screen 0.800 m behind the aperture. Part A How wide is the aperture
Answer:
7.48 cm
Explanation:
The diagrammatic representation of information is shown in the image below:
From the image, Δ X₁X₂ and Δ Y₁Y₂ are equivalent triangles.
where;
X₁X₂ = width of the aperture
Using equivalent triangles, It implies that:
[tex]\implies \dfrac{X_1X_2}{Y_1Y_2} = \dfrac{1.70}{1.70+0.800} \\ \\ \implies X_1X_2=\dfrac{1.70}{1.70+0.800}\times 11.0[/tex]
[tex]X_1X_2= \dfrac{1.70}{2.50}\times 11.0 cm[/tex]
X₁X₂ = 7.48 cm
A basketball player shoots toward a basket 4.9 m away and 3.0 m above the floor. If the ball is released 1.8 m above the floor at an angle of 60 o above the horizontal, what must the initial speed be if it were to go through the basket
Answer:
v₀ = 6.64 m / s
Explanation:
This is a projectile throwing exercise
x = v₀ₓ t
y = y₀ + v_{oy} t - ½ g t²
In this case they indicate that y₀ = 1.8 m and the point of the basket is x=4.9m y = 3.0 m
the time to reach the basket is
t = x / v₀ₓ
we substitute
y- y₀ = [tex]\frac{ v_o \ x \ sin \theta }{ v_o \ cos \theta} - \frac{1}{2} g \ \frac{x^2 }{v_o^2 \ cos^2 \theta }[/tex]
y - y₀ = x tan θ - [tex]\frac{ g \ x^2 }{ 2 \ cos^2 \theta } \ \frac{1}{v_o^2 }[/tex]
we substitute the values
3 -1.8 = 3.0 tan 60 - [tex]\frac{ 9.8 \ 3^2 }{2 \ cos^2 60 } \ \frac{1}{v_o^2}[/tex]
1.2 = 5.196 - 176.4 1 / v₀²
176.4 1 / v₀² = 3.996
v₀ = [tex]\sqrt{ \frac{ 176.4}{3.996} }[/tex]
v₀ = 6.64 m / s
A 5.0 A electric current passes through an aluminum wire of 4.0~\times~10^{-6}~m^2 cross-sectional area. Aluminum has one free electron per atom. The density of aluminum is 2.7~grams/cm^3, and the aluminum molar mass is 27 g. What is the electron number density (the number of electrons per unit volume) in the wire
Answer: The electron number density (the number of electrons per unit volume) in the wire is [tex]6.0 \times 10^{28} m^{-3}[/tex].
Explanation:
Given: Current = 5.0 A
Area = [tex]4.0 \times 10^{-6} m^{2}[/tex]
Density = 2.7 [tex]g/cm^{3}[/tex], Molar mass = 27 g
The electron density is calculated as follows.
[tex]n = \frac{density}{mass per atom}\\= \frac{\rho}{\frac{M}{N_{A}}}\\[/tex]
where,
[tex]\rho[/tex] = density
M = molar mass
[tex]N_{A}[/tex] = Avogadro's number
Substitute the values into above formula as follows.
[tex]n = \frac{\rho \times N_{A}}{M}\\= \frac{2.7 g/cm^{3} \times 6.02 \times 10^{23}/mol}{27 g/mol}\\= \frac{16.254 \times 10^{23}}{27} cm^{3}\\= 0.602 \times 10^{23} \times \frac{10^{6} cm^{3}}{1 m^{3}}\\= 6.0 \times 10^{28} m^{-3}[/tex]
Thus, we can conclude that the electron number density (the number of electrons per unit volume) in the wire is [tex]6.0 \times 10^{28} m^{-3}[/tex].
40ml of Liquid A are poured into a beaker, and 40.0ml of Liquid B are poured into an identical beaker. Stirrers in each beaker are connected to motors, and the forces FA and FB needed to stir each liquid at a constant rate are measured.
a. FA will be greater than F B
b. FA will be less than FB
c. FA will be equal to FB
d. It's impossible to predict whether FA or FB will be greater without more information.
Answer:
d
Explanation:
there is not enough information about the liquid to know the force required for each. ie. stirring a cup of water is different than stirring a cup of pudding.
WILL GIVE 50 POINTS TO CORRECT ANSWER‼️
A capacitor has 4.33 x 10-7 C of
charge on it when 3.45 V is applied.
How much energy is stored in the
capacitor?
Answer:
7.47×10¯⁷ J
Explanation:
From the question given above, the following data were obtained:
Charge (Q) = 4.33×10¯⁷ C
Potential difference (V) = 3.45 V
Energy (E) =?
The energy stored in a capacitor is given by the following equation:
E = ½QV
Where
E => is the energy.
Q => is the charge.
V => is the potential difference.
With the above formula, we can obtain the energy stored in the capacitor as follow:
Charge (Q) = 4.33×10¯⁷ C
Potential difference (V) = 3.45 V
Energy (E) =?
E = ½QV
E = ½ × 4.33×10¯⁷ × 3.45
E = 7.47×10¯⁷ J
Thud, the energy stored in the capacitor is 7.47×10¯⁷ J
Answer:
The answer would be 7.47x10^-7J
Explanation:
Put in 7.47 then -7
A horizontal force of 40N is needed to pull a 60kg box across the horizontal floor at which coefficient of friction between floor and box? Determine it to three significant figures even through that's quite unrealistic. How much work is done in overcoming friction between the object and floor if the box slides 8m along horizontally on the floor?
Answer:
Coefficient of friction is [tex]0.068[/tex].
Work done is [tex]320~J[/tex].
Explanation:
Given:
Mass of the box ([tex]m[/tex]): [tex]60[/tex] kg
Force needed ([tex]F[/tex]): [tex]40[/tex] N
The formula to calculate the coefficient of friction between the floor and the box is given by
[tex]F=\mu mg...................(1)[/tex]
Here, [tex]\mu[/tex] is the coefficient of friction and [tex]g[/tex] is the acceleration due to gravity.
Substitute [tex]40[/tex] N for [tex]F[/tex], [tex]60[/tex] kg for [tex]m[/tex] and [tex]9.80[/tex] m/s² for [tex]g[/tex] into equation (1) and solve to calculate the value of the coefficient of friction.
[tex]40 N=\mu\times60 kg\times9.80 m/s^{2} \\~~~~~\mu=\frac{40 N}{60 kg\times9.80 m/s^{2}}\\~~~~~~~=0.068[/tex]
The formula to calculate the work done in overcoming the friction is given by
[tex]W=Fd..........................(2)[/tex]
Here, [tex]W[/tex] is the work done and [tex]d[/tex] is the distance travelled.
Substitute [tex]40[/tex] N for [tex]F[/tex] and [tex]8 m[/tex] for [tex]d[/tex] into equation (2) to calculate the work done.
[tex]W=40~N\times8~m\\~~~~= 320~J[/tex]
It is 2058 and you are taking your grandchildren to Mars. At an elevation of 34.7 km above the surface of Mars, your spacecraft is dropping vertically at a speed of 293 m/s. The spacecraft is to make a soft landing -- that is, at the instant it reaches the surface of Mars, its velocity is zero. Assume the spacecraft undergoes constant acceleration from the elevation of 34.7 km until it reaches the surface of Mars. What is the magnitude of the acceleration
Answer: [tex]1.23\ m/s^2[/tex]
Explanation:
Given
At an elevation of [tex]y=34.7\ km[/tex], spacecraft is dropping vertically at a speed of [tex]u=293\ m/s[/tex]
Final velocity of the spacecraft is [tex]v=0[/tex]
using equation of motion i.e. [tex]v^2-u^2=2as[/tex]
Insert the values
[tex]\Rightarrow 0-(293)^2=2\times a\times (34.7\times 10^3)\\\\\Rightarrow a=-\dfrac{293^2}{2\times 34.7\times 10^3}\\\\\Rightarrow a=-1.23\ m/s^2[/tex]
Therefore, magnitude of acceleration is [tex]1.23\ m/s^2[/tex].
How does the thickness of a planets atmosphere affect a planets average temperature
Answer:
The atmosphere of planets will block or enable heat coming from the sun
Charge of uniform density (80 nC/m3) is distributed throughout a hollow cylindrical region formed by two coaxial cylindrical surfaces of radii 1.0 mm and 3.0 mm. Determine the magnitude of the electric field at a point which is 2.0 mm from the symmetry axis.
Answer: Magnitude of the electric field at a point which is 2.0 mm from the symmetry axis is 18.08 N/C.
Explanation:
Given: Density = 80 [tex]nC/m^{3}[/tex] (1 n = [tex]10^{-9}[/tex] m) = [tex]80 \times 10^{-9} C/m^{2}[/tex]
[tex]r_{1}[/tex] = 1.0 mm (1 mm = 0.001 m) = 0.001 m
[tex]r_{2}[/tex] = 3.0 mm = 0.003 m
r = 2.0 mm = 0.002 m (from the symmetry axis)
The charge per unit length of the cylinder is calculated as follows.
[tex]\lambda = \rho \pi (r^{2}_{2} - r^{2}_{1})[/tex]
Substitute the values into above formula as follows.
[tex]\lambda = \rho \pi (r^{2}_{2} - r^{2}_{1})\\= 80 \times 10^{-9} \times 3.14 \times [(0.003)^{2} - (0.001)^{2}]\\= 2.01 \times 10^{-12} C/m[/tex]
Therefore, electric field at r = 0.002 m from the symmetry axis is calculated as follows.
[tex]E = \frac{\lambda}{2 \pi r \epsilon_{o}}[/tex]
Substitute the values into above formula as follows.
[tex]E = \frac{\lambda}{2 \pi r \epsilon_{o}}\\= \frac{2.01 \times 10^{-12} C/m}{2 \times 3.14 \times 0.002 m \times 8.85 \times 10^{-12}}\\= 18.08 N/C[/tex]
Thus, we can conclude that magnitude of the electric field at a point which is 2.0 mm from the symmetry axis is 18.08 N/C.
difference between work done against gravity and friction
A car is on cruise control at v=30m/s. If the wind resistance is equal to. F=0.42v² what energy will the car expend to drive 1km?
A)450J
B)378J
C)12.6J
D)378kJ
Answer:
D)378kJ
Explanation:
Applying,
E = F×d................ Equation 1
Where E = Energy expanded by the car, F = Wind resistance, d = distance
From the question,
F = 0.42v²............ Equation 2
Susbtitute equation 2 into equation 1
E = 0.42v²d.............. Equation 3
Given: v = 30 m/s, d = 1 km = 1000 m
Substitute these values into equation 3
E = 0.42(30²)(1000)
E = 378000
E = 378 kJ
Hence the right option is D)378kJ
Find the acceleration due to gravity on the surface of a planet with a mass of 3.5 * 10^24 kg and an average radius of 4.5 * 10^6 m.
A 4.38 kg sphere makes a perfectly inelastic collision with a second sphere that is initially at rest. The composite system moves with a speed equal to one third the original speed of the 4.38 kg sphere. What is the mass of the second sphere?
Answer: The mass of the second sphere is 8.76 kg
Explanation:
The equation for a perfectly inelastic collision follows:
[tex]m_1u_1+m_2u_2=(m_1+m_2)v[/tex]
where,
[tex]m_1\text{ and }u_1[/tex] are the mass and initial velocity of first sphere
[tex]m_2\text{ and }u_2[/tex] are the mass and initial velocity of second sphere
v = final velocity of the system
We are given:
[tex]m_1=4.38kg\\u_2=0m/s\\v=\frac{u_1}{3}[/tex]
Rearranging the above equation, we get:
[tex]m_1u_1-m_1v=m_2v\\\\m_2=m_1\frac{u_1-v}{v}\\\\m_2=m_1(\frac{u_1}{v}-1)[/tex]
Plugging values in the above equation, we get:
[tex]m_2=4.38(\frac{3u_1}{u_1}-1)\\\\m_2=(4.38\times 2)=8.76kg[/tex]
Hence, the mass of the second sphere is 8.76 kg
How much heat is absorbed by 60g of copper when it is heated from 20°C to 80°C
Answer:
I HOPE THIS IS CORRECT
Explanation:
It is heated from 20°C to 80°C. We need to find the heat absorbed. It can be given by the formula as follows : So, 1386 J of heat is absorbed.
if a seismic wave has a period of 0.0202s, find the frequency of the wave.
Answer:
49.5 Hz.
Explanation:
From the question given above, the following data were obtained:
Period (T) = 0.0202 s
Frequency (f) =?
The frequency and period of a wave are related according to the following equation:
Frequency (f) = 1 / period (T)
f = 1/T
With the above formula, we can obtain the frequency of the wave as follow:
Period (T) = 0.0202 s
Frequency (f) =?
f = 1/T
f = 1/0.0202
f = 49.5 Hz
Therefore the frequency of the wave is 49.5 Hz.
Question 24 of 33 Which of the following is an example of uniform circular motion? A. A car speeding up as it goes around a curve O B. A car slowing down as it goes around a curve 2 C. A car maintaining constant speed as it goes around a curve D. A car traveling along a straight road
Answer:
Uniform Circular Motion is the Movement or Rotation of an Object along a circular Path at constant speed.
OPTION C IS YOUR ANSWER!.
Two kg of water is contained in a piston-cylinder assembly, initially at 10 bar and 200°C. The water is slowly heated at constant pressure to a final state. If the heat transfer for the process is 1740 kJ, determine the temperature at the final state, in °C, and the work, in kJ. Kinetic and potential energy effects are negligible.
Answer:
Explanation:
Given that:
mass of water = 2kg
Pressure P₁ = 10 bar
temperature T₁ = 200⁰ C
Obtaining the following value from superheated tables at P₁ = 10 bar and T₁ = 200⁰ C
v₁ = 0.2060 m³/kg
h₁ = 2827.9 kJ/kg
The heat transfer Q₁₋₂ = 1740 kJ
Using the energy balance equation:
Q₁₋₂ = m(h₂ - h₁)
1740 = 2(h₂ - 2827.9)
1740 = 2h₂ - 5655.8
1740 + 5655.8 = 2h₂
7395.8 = 2h₂
h₂ = 7395.8/2
h₂ = 3697.9 kJ/kg
Since P₁ = P₂ = 10 bar
Using the superheated table at P₂ = 10 bar and h₂ = 3697.9 kJ/kg;
v₂ = 0.4011 m³/kg
The temperature at final state = 600 °C
The work done [tex]W_{1-2} = \int P dv[/tex]
[tex]W_{1-2} = P\times m (V_2-V_1)[/tex]
= (10×10² kPa)×2kg (0.4011 - 0.2060) m³/kg
= (10×10² kPa)×2kg × 0.1951 m³/kg
= 390.2 kJ
A friend returns to the United states from Europe with a 960 W coffee maker, designed to operate from a 240 V line. What can she do to operate it at the USA-standard 120 V
Answer:
[tex]\frac{N_2}{N_1}= 2[/tex]
Explanation:
From the question we are told that:
Power [tex]W=960W[/tex]
Voltage [tex]V=240v[/tex]
USA-standard [tex]V_{usa}=120 V[/tex]
Applying A step down transformer
Generally the equation for a Transformer is mathematically given by
[tex]\frac{v_2}{v_1}c=\frac{N_2}{N_1}[/tex]
[tex]\frac{N_2}{N_1}=\frac{240}{120}[/tex]
[tex]\frac{N_2}{N_1}= 2[/tex]
Therefore
She can use a turns ratio of 2
The minute arm of the clock rotates in one complete revolution in 60 seconds. Calculate the angular velocity.
Answer:
The minute hand travels 2π radians in 60 minutes , so the angular velocity is
[tex]angular \: velocity = \frac{2\pi \: radians}{60m} \\ = \frac{\pi}{30} radians \: per \: min[/tex]
The angular velocity of the minute arm will be [tex]\frac{\pi }{30}[/tex] rad/second.
We have the minute arm of the clock that completes one complete revolution in 60 seconds.
We have to determine its angular velocity.
What is the formula to calculate the angular velocity of the body?The formula to calculate the angular velocity of body is as follows -
ω = [tex]\frac{d\theta}{dt}[/tex] = [tex]\frac{\theta_{2} -\theta_{1} }{t_{2} -t_{1} }[/tex]
According to the question -
For one complete revolution - [tex]\theta_{2} -\theta_{1} =[/tex] 2[tex]\pi[/tex] - 0 = 2[tex]\pi[/tex].
and
[tex]t_{2} -t_{1}[/tex] = 60 - 0 = 60 seconds.
Therefore, the angular velocity of the minute arm of the clock will be -
ω = [tex]\frac{2\pi }{60}[/tex] = [tex]\frac{\pi }{30}[/tex] rad/second
Hence, the angular velocity of the minute arm will be [tex]\frac{\pi }{30}[/tex] rad/second.
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PLEASE HELP ME WITH THIS ONE QUESTION
What is the rest energy of a proton? (c = 2.9979 x 10^9 m/s, mp = 1.6726 x 10^-27)
Answer:
Energy = 1.5032*10^(-10) Joules
Explanation:
By Einstein's relativistic energy equation, we know that the energy of a given particle is given by:
Energy = rest energy + kinetic energy.
= m*c^2 + (γ - 1)*mc^2
Where γ depends on the velocity of the particle.
But if the proton is at rest, then the kinetic energy is zero, and γ = 1
Then the energy is just given by:
Energy = m*c^2
Where we know that:
mass of a proton = 1.67*10^(-27) kg
speed of light = c = 2.9979*10^(8) m/s
Replacing these in the energy equation, we get:
Energy = ( 1.6726*10^(-27) kg)*( 2.9979*10^(8) m/s)^2
Energy = 1.5032*10^(-10) kg*m^2/s^2
Energy = 1.5032*10^(-10) J