The 2.7 x 10^17 J of energy is produced when 3.0 kg mass disappears.
What is the energy produced when 3 kg of mass is converted to energy?According to Einstein's equation, the energy produced when mass is converted to energy is proportional to the mass of the substance.
The Einstein equation is given as:
[tex]E = mc^{2}[/tex]
Mass = 3 kg
c = 3.0 × 10^8
[tex]E = 3 × (3.0 × 10^{8})^{2} = 2.7 \times 10^{17}[/tex]
Therefore, 2.7 x 10^17 J of energy is produced when 3.0 kg mass disappears.
Learn more about Einstein's equation at: https://brainly.com/question/1603546
#SPJ1
An automobile moves on a level horizontal road in a circle of radius 40.0 m. The coefficient of friction between tires and road is 0.60. The maximum speed with which this car can round this curve is
Answer:
Approximately [tex]15\; {\rm m\cdot s^{-1}}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].)
Explanation:
Let [tex]m[/tex] denote the mass of this vehicle, and let [tex]g[/tex] denote the gravitational field strength.
Since the road is level, the normal force that the road exerts on the vehicle would be equal in magnitude to the weight [tex]m\, g[/tex] of this vehicle. That is: [tex]F_\text{normal} = m\, g[/tex].
Let [tex]\mu_{k}[/tex] denote the coefficient of (kinetic) friction between the tires of this vehicle and the road. The maximum friction that the road could exert on this vehicle would be:
[tex]\begin{aligned}& F_\text{max. friction} && (\text{max. friction}) \\ =\; &\mu_{k}\, F_\text{normal} && (\text{coefficient of friction}) \,(\text{normal force}) \\ =\; & \mu_{k}\, m\, g\, \end{aligned}[/tex].
Also because this road is level, the only unbalanced force on this vehicle would be friction. Thus, the net force on this vehicle would be equal to the friction that the road exerts on the vehicle, which is at most [tex]\mu_{k}\, m\, g[/tex]:
[tex]\begin{aligned}& F_\text{net} && (\text{net force}) \\ =\; & F_\text{friction} && (\text{friction}) \\ \le \; & F_\text{max. friction} && (\text{max. friction})&\\ =\; & \mu_{k}\, m\, g\, \end{aligned}[/tex].
In other words, [tex]F_\text{net} < \mu_{k}\, m\, g[/tex]. This inequality could provide an upper bound on the acceleration of this vehicle:
[tex]\begin{aligned}& a && (\text{acceleration}) \\ =\; & \frac{F_\text{net}}{m} && \genfrac{}{}{0em}{}{(\text{net force})}{(\text{mass})}\\ \le \; & \frac{\mu_{k}\, m\, g}{m} \\ =\; & \mu_{k}\, g\end{aligned}[/tex].
Thus, the maximum acceleration of this vehicle on this road would be [tex]a_\text{max} = \mu_{k}\, g[/tex].
Let [tex]r[/tex] denote the radius of this circle. When the vehicle is moving around this circle at a speed of [tex]v[/tex], the (centripetal) acceleration of this vehicle would continuously be [tex]a = (v^{2} / r)[/tex].
Since the upper bound of the acceleration of this vehicle is [tex]a_\text{max} = \mu_{k}\, g[/tex], rearrange the equation [tex]a = (v^{2} / r)[/tex] to find an upper bound on speed [tex]v[/tex]:
[tex]\begin{aligned}\frac{v^{2}}{r} &= a \\ & \le a_{\text{max}} \\ &= \mu_{k}\, g\end{aligned}[/tex].
[tex]v^{2} \le \mu_{k}\, g\, r[/tex].
[tex]v \le \sqrt{\mu_{k}\, g\, r}[/tex].
In other words, when the radius of the circle is [tex]r[/tex], the coefficient of friction between the tire and the ground is [tex]\mu_{k}[/tex], and the gravitational field strength is [tex]g[/tex], the maximum speed of the vehicle would be [tex]\sqrt{\mu_{k}\, g \, r}[/tex].
In this question, it is given that [tex]r = 40.0\; {\rm m}[/tex] whereas [tex]\mu_{k} = 0.60[/tex]. Assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex], the maximum speed of this vehicle would be:
[tex]\begin{aligned}v_\text{max} &= \sqrt{\mu_{k}\, g\, r} \\ &= \sqrt{0.60 \times 9.81\; {\rm m\cdot s^{-2}} \times 40.0\; {\rm m}} \\ &\approx 15\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].
how do you get this equation?
please help
Answer:
It's a kinematic equation.
Explanation:
x displacement = (velocity_final * time) - (0.5 * acceleration * time * time)
You should be given a value, context(word problem), or diagram.
If you're deriving for a term just isolate the term.
If you're asking why the -(0.5 * acceleration * time * time) is negative instead of positive, would need context.
Three 20.0 ohm resistors are
connected in parallel and attached to
a 5.00 V battery. How much current
flows out of the battery?
Answer:
0. 75A
Explanation:
R1=20omh
R2=20omh
R3=20omh
equivalent voltage (V)= 5.00V
equivalent resistance (R) = ?
equivalent current (I)= ?
since, they are in parallel so,
1/R = 1/R1 + 1/R2 + 1/R3
1/R = 1/20 + 1/20 + 1/20
1/R = 3/20
R = 6.67 ohm
Now,
from ohm's law
V= IR
or, 5 = 6.67*I
or, I = 0.749
hence, I= 0.75A
PLEASE HELP
Which of the following is a characteristic property of the alkaline earth
metals?
A. They are harder than alkali metals.
B. They are more reactive than alkali metals.
C. They all have 3 valence electrons.
D. They are all radioactive.
Answer:
It's D, they're all radioactive. This is due to the molecules that it is made up of
Answer:
the answer is A
Explanation:
I hope it helps you
If you touch a conductor through which electricity flows with an insulator, will you receive a shock? Explain.
If you touch a conductor through which electricity flows with an insulator, the likelihood of receiving a shock depends on several factors, including the voltage and current of the electrical source, the amount of insulation present, and how well the insulation is able to insulate from the electricity.
Insulators are materials that do not conduct electricity and are commonly used to provide a barrier between humans and electrical conductors to prevent electrical accidents. When an insulator is used to touch a conductor through which electricity flows, the insulator acts as a barrier and prevents the current from flowing through the material and into the body.
However, if the insulation is inadequate or damaged, or the voltage of the electrical source is high enough to overcome the insulating properties of the material, a shock can occur. The shock occurs when the current passes through the body, causing damage to organs, muscles, and nerves.
Therefore, it is important to ensure that proper insulation practices are followed when working with electrical conductors, and to use insulation materials that are sufficient to protect against the voltage and current levels of the electrical source being used. Generally, it is recommended to avoid touching electrical conductors altogether, as the risk of electrical accidents is always present.
For such more questions on electricity
https://brainly.com/question/27600426
#SPJ11
No, you will not receive a shock if you touch a conductor through which electricity flows with an insulator. An insulator is a material that does not conduct electricity, meaning it does not allow the flow of electric current.
It has high resistance and acts as a barrier, preventing the transfer of electrons. Therefore, when you touch a conductor with an insulator, the insulator acts as a protective layer that blocks the flow of electric current and prevents it from reaching your body. As a result, you will not experience a shock. However, it is important to note that the effectiveness of the insulator in preventing a shock depends on its quality and condition. If the insulator is damaged or has a low resistance, it may not provide adequate protection, and there is a risk of electric shock. Additionally, it is crucial to follow safety protocols and avoid touching conductors or working with electricity unless you are trained and have the necessary knowledge and equipment to do so safely.
for more such questions on electricity
https://brainly.com/question/776932
#SPJ11
A wave is sent down a tunnel where it travels and bounces of the far wall, returning to the sender. The wave travels at 4m/s and it takes 120 seconds to travel there and back. How deep is the cave?
Answer:
100ft
Explanation:
You are driving on a highway and your gas pedal gets jammed. You cannot reduce engine power. You should keep your eyes on the road and
You should keep your eyes on the road and shift into neutral when gas pedal gets jammed.
What is Neutral?In automobiles, shifting into neutral won't transmit power to the wheels and the direction of the steering wheel can still be controlled.
This helps to prevent accidents on the road as a result of such malfunctions in the car.
Read more about Automobiles here https://brainly.com/question/25749312
#SPJ4
The amount of electric energy consumed by a 60 watt lightbulb for 1 minute could lift a 10 newton object to a maximum vertical height of
Answer: physics are fake
Explanation:
Unit Test Review
Active
1
2
3
Which statement best describes heat and thermal energy?
O They are different words for the same thing.
O They represent different concepts.
O Heat is what happens when thermal energy stops moving between substances.
O Thermal energy is what happens when heat moves between substances.
Answer:
option B...
they represent different concept...
i hope this will answer your question
is a superheated cloud of gas and dust swirling around a massive object (usually a black hole or neutron star) this cloud can reach incredible speeds and temperatures as gravity causes it to build up more and more friction, eventually releasing x rays.
a. Nebula
c. Accretion Disk
b. Proto-star
d. White Dwarf
A superheated cloud of gas and dust swirling around a massive object (usually a black hole or neutron star) is called an accretion disk. The correct option is c.
What is accretion disk?Accretion disk is a heavy object surrounded by flow of gas, plasma, dust, or particles. The materials surrounding the heavy object orbiting in the gravitational field of the object that loses energy and angular momentum as it slowly spirals inward.
This cloud can reach incredible speeds and temperatures as gravity causes it to build up more and more friction, eventually releasing x rays.
Thus, accretion disk is a superheated cloud of gas and dust swirling around a massive object.
Learn more about accretion disk.
https://brainly.com/question/1900229
#SPJ1
A nearsighted eye has a far point of 100 cm. Objects further than 100 cm are not seen clearly. A diverging lens is used to permit clear vision of an object placed at infinity. Find the focal length of the lens.
A diverging lens is used to permit clear vision of an object placed at infinity. The focal length of the lens is -100 cm.
What is focal length?The focal length is half of the radius of curvature of the focal lens.
By the lens maker formula,
1/f = 1/v +1/u
where, v is the image distance and u is the object distance.
Give, the object is at infinity and the image must form at 100 cm, the the focal length will be
1/f = 1/ -100 + 1/∞
f = -100 cm
The focal length must be -100 cm for the diverging lens.
Learn more about focal length.
https://brainly.com/question/16188698
#SPJ1
Romeo and Juliet are sitting on a balcony 1.2 meters apart. If Romeo has
a mass of 69.3 kg and Juliet has a mass of 52.0 kg, what is the attractive
force between them?
F = G M.m/r²
F = force, N
G = gravitational constant, 6.67 x 10⁻¹¹ Nm²/kg²
m,M = mass of object, kg
r = distance, m
F = 6.67 x 10⁻¹¹ x 69.3 x 52/1.2²
F = 1.669 x 10⁻⁷
how much work is done on a small car if a 3000 N force is exerted to move it 75 m to the side of the road ?
Answer:
Soln,
force=3000 N
distance=75 m
we know that,
work done= force × distance
= 3000× 75
= 225000 joule
If you have a voltage of 120 volts entering your house and a light bulb with 0.75 amperes flowing through it, how many watts is your light bulb?
30 watts
120 watts
60 watts
90 watts
Answer:
90 watts
Explanation:
Formula for Power (using voltage and current) :
P = VIP = 120 V × 0.75 AP = 90 wattsAnswer:
90 watts
Explanation:
Watts = volts x amperes
120X.75 = 90
Which is not a formal planet?
A: neptune
B: uranus
C: saturn
D: jupiter
E: pluto
Answer:
Pluto
Explanation:
Pluto is now classified as a dwarf planet It used to be a formal planet but not anymore.
When two objects made of different materials are rubbed together, they will attract each other after the charging process.Immersive Reader (1 Point) True False
Answer:
True
Explanation:
because their is friction(e.g take a ruler rub it in your hair then put it on top of a piece of paper on the table then u will see the process)among the two objects.
When two forces act in the same direction on an object, the net force is found by ....................the forces.
Answer:
Net force is found by sum of the forces.
Answer:
The correct answer is When two forces act in the same direction on an object, the net force is found by the sum of the forces.
Hope this helps you!!
Please mark me Brainleast!!
Thankyou for joining Brainly communicty!!!What spectrum can humans see? What does it break into? What is the order of color?
Answer:
the rainbow spectrum. red orange yellow green blue violet. It breaks into ultra violet.
Explanation:
A motor lets a 450.N crate drop at a constant 5.75m/s. What is the power output of the motor?
A motor lets a 450.N crate drop at a constant 5.75m/s. What is the power output of the motor?
78.3W
2590W
444W
456W
Power is the energy per unit time required to run a machine. The output power of the motor is 2590 W.
What is power?Power is the product of force and velocity with which an object is moving.
P = F x v
Given is the force 450N and the velocity is 5.675 m/s, then the power is
P = 450 x 5.75
P = 2587.5 Watt
The power output of the motor is approximately 2590 W.
Learn more about power.
https://brainly.com/question/19168410
#SPJ1
A 9-volt battery is connected to a 4-ohm resistor and a 5-ohm resistor as shown in the diagram above. How much current flows through the 4-ohm resistor?
1.0 A
1.8 B
2.3 C
4.0 D
The current flowing in the 4 ohms resistor connected in series with 5-ohm resistor is determined as 1.0 A.
Equivalent resistance of the circuit
The equivalent resistance of the circuit is determine as follows;
Rt = R1 + R2
Rt = 4 ohms + 5 ohms = 9 ohms
Current flowing in the 4 ohms resistorThe current flowing in the 4 ohms resistor is determined from Ohms law as shown below;
V = IR
I = V/R
I = 9/9
I = 1.0 A
Since the circuit is in series arrangement, same current will flow in 5 ohm and 4 -ohm.
Learn more about current here: https://brainly.com/question/24858512
#SPJ1
a force of 50 N directed 30 degrees above the horizontal is applied to a 10 kg block at rest on a rough horizontal surface. what is the coefficient of kinetic friction between the block and the horizontalsurface if the acceleration of the block is 20 m/s^2
The coefficient of kinetic friction between the block and the horizontal surface will be 1.597.
What is kinetic friction?A force that acts among sliding parts is referred to as kinetic friction. A body moving on the surface is subjected to a force that opposes its progressive motion.
The given data in the problem is;
μ is the coefficient of kinetic friction=?
m is the mass of the block=10 kg
g is the acceleration due to gravity= 9.81 m/s²
Acceleration of block(a)=20 m/s²
Force (F)= 50 N
θ=30°
There are two forces to act on the block, one is the force directed while the other was the friction force opposing the motion.
From the newton's second law;
F= ma
F-f = ma
Fcos30°- μmg=ma
50cos 30°-μ× 10×9.81 =10 × 20
μ= 1.597
Hence, the coefficient of kinetic friction will be 1.597.
To learn more about the coefficient of kinetic friction, refer to;
https://brainly.com/question/19180015
#SPJ1
3. Assume that a sample decays with a given half-life. Will you be able to observe when the sample has completely decayed? Why or why not?
Answer:
No
Explanation:
It will never decay to zero
after one half life there is 1/2 left
after the next half life thee is 1/2 * 1/2 = 1/4 left
then 1/8th then 1/16 th then 1/32 1/64 1/128 ........to infinity
while htere is a VERY small amount left , there will never be ZERO left
if nominal gdp is 1800 and the money supply is 450, then what is velocity?
Answer:
Explanation:
answer: 4 velocity.
if nominal gdp is 1800 and the money supply is 450, then what is velocity?
4 velocity.
If the nominal GDP is 1800 and the money supply is 450, then the velocity of money would be 4.
The total value of goods and services generated in an economy during a given time period, usually a year, is referred to as nominal GDP and is not adjusted for inflation. It depicts what products and services are now selling on the market.
Given:
Nominal GDP, PQ = 1800
Money supply, M = 450
From equation of exchange:
MV = PQ
V = (PQ) ÷ M
V = (1800) ÷ (450)
V = 4
Hence, if the nominal GDP is 1800 and the money supply is 450, then the velocity of money would be 4.
To learn more about Nominal GDP, here:
https://brainly.com/question/32775130
#SPJ4
Abdul, while driving to school, computes the average speed for his trip to be 20 km.h–1. On his return trip along the same route, there is less traffic and the average speed is 30 km.h–1. What is the average speed for Abdul’s trip?
I need some help with this question
the answer for number 2 is B
Is quartzite a mineral, a rock, or neither?
Can someone please answer this, ill give you brainliest Would be very appreciated.
Answer: Through Photosynthesis
Explanation:
Answer:
Option 3
Explanation:
Carbon is cycled into the hydrosphere through the diffusion from the atmosphere.
Further explaining this :
Some of the carbon dioxide molecules in the rain react with the water droplets to form carbonic acid that falls with the rain. The carbonic acid that falls to the surface of the Earth dissolves rocks by the process of chemical weathering, where it releases calcium, magnesium, potassium or sodium ions. These ions are carried by rivers to the ocean. The carbonic acid that falls directly into surface water bodies reacts with the water to form bicarbonate ions.
Which two elements undergo fusion in the sun?
Answer:
In the core of the Sun hydrogen is being converted into helium. This is called nuclear fusion. It takes four hydrogen atoms to fuse into each helium atom. During the process some of the mass is converted into energy.
A glass prism can be used to show the dispersion of white light to form a spectrum.
a.Draw a diagram to show how a ray of white light is dispersed as it passes through a prism.
b.Which colour of light is most strongly dispersed (deflected) as it passes through the prism?
c.Explain why some colours of light are more strongly dispersed than others.
For each of the following statements, decide whether it is true or false.
a) For Diagram refer to the attachment.
b) The colour that dispersed most is violet.
c) Every colour has its own wavelengths/ frequency. Different colours move with same speed in air / vaccum. But their speeds in refracting media like glass are different. Therefore, refractive index of the medium for different colours is different. Some gets strongly dispersed due to shorter wavelengths.
Explanation :
Dispersion of Light : The splitting up of a white light into different colours is called Dispersion of light. The light is made up of different colours. Each colour travels at its own speed inside a prism. Due to this different colours of light bend through different angles with respect to the incident ray , as they pass through a prism. The eed light bends the least while the violet the most. Thus, the rays of each colour emerge along different paths and thus becomes distinct.. A 6 ohm resistor is connected to a 15 volt battery.
a. What is the current in the circuit?
b. How much heat is produced in 10 minutes?
Answer:
2.5A , 22500 JOULE
Explanation:
Resistance (R)= 6 ohm
Voltage (V) = 15 volt
a)
Current (I) = ?
From ohm's law,
V=IR
15 = 6*I
I = 2.5 A
b)
time(t) = 10min = 600 second
heat energy (Q) = ?
from Joule's law of heating,
Q = I²*R*t
Q = 2.5² *6*600
Q = 22500 Joule
hence, heat energy produced is 22500 joule.