Answer:
vₐ₀ = 29.56 m / s
Explanation:
In this exercise the initial velocity of car A is asked, to solve it we must work in parts
* The first with the conservation of the moment
* the second using energy conservation
let's start with the second part
we must use the relationship between work and kinetic energy
W = ΔK (1)
for this part the mass is
M = mₐ + m_b
the final velocity is zero, the initial velocity is v
friction force work is
W = - fr x
the negative sign e because the friction forces always oppose the movement
we write Newton's second law for the y-axis
N -W = 0
N = W = Mg
friction forces have the expression
fr =μ N
fr = μ M g
we substitute in 1
-μ M g x = 0 - ½ M v²
v² = 2 μ g x
let's calculate
v² = 2 0.750 9.8 6.00
v = ra 88.5
v = 9.39 m / s
Now we can work on the conservation of the moment, for this part we define a system formed by the two cars, so that the forces during the collision are internal and therefore the tsunami is preserved.
Initial instant. Before the crash
p₀ = + mₐ vₐ₀ - m_b v_{bo}
instant fianl. Right after the crash, but the cars are still not moving
p_f = (mₐ + m_b) v
p₀ = p_f
+ mₐ vₐ₀ - m_b v_{bo} = (mₐ + m_b) v
mₐ vₐ₀ = (mₐ + m_b) v + m_b v_{bo}
let's reduce to the SI system
v_{bo} = 64.0 km / h (1000m / 1km) (1h / 3600s) = 17.778 m / s
let's calculate
660 vₐ₀ = (660 +490) 9.39 + 490 17.778
vₐ₀ = 19509.72 / 660
vₐ₀ = 29.56 m / s
we can see that car A goes much faster than vehicle B
Two copper rods are rubbed together will they become charged
Answer:
Explanation:When insulating materials rub against each other, they may become electrically charged . Electrons , which are negatively charged, may be 'rubbed off' one material and on to the other. The material that gains electrons becomes negatively charged.
What is the gravitational potential energy of a 3 kg ball that is 1 meter above the floor?
Answer:
PE=mgh
M= Mass (kg)
G= Gravitational field strength (N/kg)
H= Hight (m)
PE= Gravitational Potential Energy (J)
Explanation:
Gravitational Potential Energy is the energy stored in a object due to its position above the Earth's surface.
The potential energy of the ball is 29.4 joules
The parameters given are;
mass= 3 kg
height= 1 meter
g= 9.8 m/s²
P.E= mgh
= 3 × 9.8 × 1
= 29.4
Hence the potential energy is 29.4 joules
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Constructive interference occurs when the crest of 2 waves meet. This can occur when 2 troughs meet as well. When this occurs, water waves look
A- the same (no change)
B- larger
C- invisible
D- smaller
Answer:
B; LargerExplanation:
I took the K-12 quiz, and that was the correct answer. Hope this helped!10. What patterns do you notice between the angles of incidence and the
angles of the reflected light rays?
1
EXPLORE/EXPLAIN Lesson 2 Reflection and Mir
Answer:
The law of reflection states that the angle of reflection equals the angle of incidence—θr = θi. The angles are measured relative to the perpendicular to the surface at the point where the ray strikes the surface.
A5 N object at a height has gravitational potential energy of 30 J. What is the height of the object?
30=5×h then divide both sides by 5 you will get h=6m
If a 5 N object at a height has a gravitational potential energy of 30 J , then the height of the object would be 6 meters.
What is mechanical energy?Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.
As given in the problem a 5 N object at a height has gravitational potential energy of 30 J, then we have to find the height of the object.
Similarly, the total gravitational potential energy of the object,
PE = m × g × h
30 = 5 × h
h = 30 / 5
h = 6 meters
Thus, if a 5 N object at a height has a gravitational potential energy of 30 J, then the height of the object would be 6 meters.
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We observe that a moving charged particle experiences no magnetic force. From this we can definitely conclude that: (A) No magnetic field exists in that region of space. (B) The particle must be moving parallel to the magnetic field. (C) Either no magnetic field exists or the particle is moving parallel to B. (D) Either no magnetic field exists or the particle is moving vertical (perpendicular) to B.
Answer:
(C) Either no magnetic field exists or the particle is moving parallel to B.
Explanation:
The moving charged particle tends to show no magnetic forces. Due to its moving in the same direction and will be parallel to the field. As when the magnetic fed and charged particle velocity is parallel then there will be no force. As the magnetic field are made by the generation of the current with the field line concentric to the current-carrying wire.2. What will be the extension of this spring if the load is a) 4N and b) 75 g?
Answer:
6
Explanation:
just add
2. Which process is used by plants to cycle water from the ground, through the roots, and out the leaves as water vapor?
sublimation
O perspiration
O transpiration
O runoff
Answer:
The answer is transpiration
Which device increases or decreases voltage as electricity is transmitted from power plants to homes and businesses?
generator
power line
transformer
turbine
Answer:Transformer
Explanation:All the other devices generate their own electricity apart from power line and Transformer, power line just carries electricity. A transformer can be used to step up or step down voltages from a source.
Answer:
transformer!! :)
Explanation:
Which of the following is true of work?
A. Work = force x distance
B. Work = force x how tired you feel
C. Work = force x weight of the object
D. Work = weight of the object x how tired you feel
Answer:
Explanation:
C: Force and Weight are related. This is not the answer.
B: Not true Much as we might feel this way after working, it is not the answer either. Not in Physics at least.
D: is treated the same way as B.
A: is the actual answer in physics. How you feel has nothing to do with it. Work is some Force moving a distance. Both are needed.
A lightbulb has a power rating of 6.75 W and draws a current of 0.75 A when connected to a battery.
b. What is the voltage of the battery?
c. What is the resistance of the lightbulb?
The tundra is located _______.
a.
north of the equator
b.
south of the equator
c.
along the equator
d.
both north and south of the equator
Please select the best answer from the choices provided
A
B
C
D
Answer:
d: both north and south
Explanation:
A gas is stored in a sealed container of constant volume. The temperature of the gas increases.
This causes the pressure of the gas to increase
What happens to the gas molecules during this pressure increase?
A The average kinetic energy of the molecules increases.
B The average separation of the molecules decreases
The average separation of the molecules increases,
с
D
The volume of each molecule increases.
Answer:
If the gas volume is decreased, the container wall area decreases and the molecule-wall collision frequency increases, both of which increase the pressure exerted by the gas. Avogadro's law. At constant pressure and temperature, the frequency and force of molecule-wall collisions are constant.
Explanation:
As the temperature increases, the average kinetic energy increases as does the velocity of the gas particles hitting the walls of the container. The force exerted by the particles per unit of area on the container is the pressure, so as the temperature increases the pressure must also increase.
As the temperature of the gas increases, the particles gain kinetic energy and their speed increases. This means that the particles hit off the sides more often and with greater force. Both of these factors cause the pressure of the gas to increase.
What is temperature ?
Temperature is a measure of the degree of hotness of a body. The SI unit of temperature is kelvin (K).The instrument used to measure temperature is called a thermometer.
What is kinetic energy ?
Kinetic energy is a form of energy that an object or a particle has by reason of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and thereby gains kinetic energy.
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miniature spring-loaded, radio-controlled gun is mounted on an air puck. The gun's bullet has a mass of 5.00 g, and the gun and puck have a combined mass of 120 g. With the system initially at rest, the radio controlled trigger releases the bullet causing the puck and empty gun to move with a speed of 0.500 m/s. What is the bullet's speed
Answer:
12 m/s
Explanation:
From the question,
Applying the law of conservation of momentum,
total momentum before collision = Total momentum after collision
mu+Mu' = mv+Mv'........................... Equation 1
Where m = mass of the bullet, u = initial velocity of the bullet, M = combined mass of the gun and the puck, u' = initial velocity of the gun and the puck, v = final velocity of the bullet, v' = final velocity of the gun and the puck
make v the subeject of the equation
v = [(mu+Mu')-Mv']/m................. Equation 2
Given: m = 5.00 g = 0.005 kg, M = 120 g = 0.12 kg, u = u' = 0 m/s (at rest), v' = 0.5 m/s
Substitute these values into equation 2
v = [0-(0.12×0.5)]/0.005
v = -0.06/0.005
v = -12 m/s
The negative sign can be ignored since we are looking for the speed, which has only magnitude.
Hence the speed of the bullet is 12 m/s
Two sticky spheres are suspended from light ropes of length LL that are attached to the ceiling at a common point. Sphere AA has mass 2mm and is hanging at rest with its rope vertical. Sphere BB has mass mm and is held so that its rope makes an angle with the vertical that puts BB a vertical height HH above AA. Sphere BB is released from rest and swings down, collides with sphere AA, and sticks to it.
In terms of H,H, what is the maximum height above the original position of A reached by the combined spheres after their collision?
Answer:
h’ = 1/9 h
Explanation:
This exercise must be solved in parts:
* Let's start by finding the speed of sphere B at the lowest point, let's use the concepts of conservation of energy
starting point. Higher
Em₀ = U = m g h
final point. Lower, just before the crash
Em_f = K = ½ m [tex]v_{b}^2[/tex]
energy is conserved
Em₀ = Em_f
m g h = ½ m v²
v_b = [tex]\sqrt{2gh}[/tex]
* Now let's analyze the collision of the two spheres. We form a system formed by the two spheres, therefore the forces during the collision are internal and the moment is conserved
initial instant. Just before the crash
p₀ = 2m 0 + m v_b
final instant. Right after the crash
p_f = (2m + m) v
the moment is preserved
p₀ = p_f
m v_b = 3m v
v = v_b / 3
v = ⅓ [tex]\sqrt{2gh}[/tex]
* finally we analyze the movement after the crash. Let's use the conservation of energy to the system formed by the two spheres stuck together
Starting point. Lower
Em₀ = K = ½ 3m v²
Final point. Higher
Em_f = U = (3m) g h'
Em₀ = Em_f
½ 3m v² = 3m g h’
we substitute
h’= [tex]\frac{v^2}{2g}[/tex]
h’ = [tex]\frac{1}{3^2} \ \frac{ 2gh}{2g}[/tex]
h’ = 1/9 h
An electron has a charge of 1.602 X 10-19.coulomb. When two electrons are separated by 1.2 X 10-9m, what force will they exert on each other?(-19 & -9 are exponents)
6.2 X 10-6N
1.6 X 10-10N
3.4 X 10-9N
5.3 X 10-7 N
Answer:
The force they will exert on each other is 1.6*10⁻¹⁰ N
Explanation:
The electromagnetic force is the interaction that occurs between bodies that have an electric charge. When the charges are at rest, the interaction between them is called the electrostatic force. Depending on the sign of the interacting charges, the electrostatic force can be attractive or repulsive. The electrostatic interaction between charges of the same sign is repulsive, while the interaction between charges of the opposite sign is attractive.
Coulomb's law is used to calculate the electric force acting between two charges at rest. This force depends on the distance "r" between the electrons and the charge of both.
Coulomb's law is represented by:
[tex]F=k*\frac{q1*q2}{r^{2} }[/tex]
where:
F = electric force of attraction or repulsion in Newtons (N). Like charges repel and opposite charges attract. k = is the Coulomb constant or electrical constant of proportionality. q = value of the electric charges measured in Coulomb (C). r = distance that separates the charges and that is measured in meters (m).In this case:
k= 9*10⁹ [tex]\frac{N*m^{2} }{C^{2} }[/tex]q1= 1.602*10⁻¹⁹ Cq2= 1.602*10⁻¹⁹ Cr= 1.2*10⁻⁹ mReplacing:
[tex]F=9*10^{9} \frac{N*m^{2} }{C^{2} }*\frac{1.602*10^{-19} C*1.602*10^{-19} C}{(1.2*10^{-9} )^{2} }[/tex]
and solving you get:
F=1.6*10⁻¹⁰ N
The force they will exert on each other is 1.6*10⁻¹⁰ N
When a 2kg metal is exposed to 2MJ of
heat it dissolves into liquid at 500K
Calculate the latent heat of fusion for
the metal. Betty went in to get you metal is exposed to to megajoules of heat
Answer:
1×10⁶ J/Kg
Explanation:
From the question given above, the following data were obtained:
Mass (m) of metal = 2 Kg
Heat (Q) = 2 MJ
Latent heat of Fusion (Hf) =?
Next, we shall convert 2 MJ to J. This can be obtained as follow:
1 MJ = 1×10⁶ J
Therefore,
2 MJ = 2 MJ × 1×10⁶ J / 1 MJ
2 MJ = 2×10⁶ J
Finally, we shall determine the latent heat of fusion. This can be obtained as follow:
Mass (m) of metal = 2 Kg
Heat (Q) = 2×10⁶ J
Latent heat of Fusion (Hf) =?
Q = m•Hf
2×10⁶ = 2 × Hf
Divide both side by 2
Hf = 2×10⁶ / 2
Hf = 1×10⁶ J/Kg
Thus, the latent heat of fusion for the metal is 1×10⁶ J/Kg
A movie stunt double is supposed to run across the top of a train (in the opposite direction that the train is moving) and just barely jump off before reaching a tunnel, but after running the entire length of the train (starting from the front). If the train is moving at 50 km/hr, is 3 km long and the tunnel is 40 km away from the end (where the stunt double is going to jump from), how fast (in km/hr) will the stunt double need to run
Answer:
3.49km/hr
Explanation:
This train is moving at 50km/hr
Distance = length of train + distance of tunnel
= 3 km + 40 km
= 43 km
Time taken by train to get to tunnel
Time = distance / velocity
Time = 43 km/50km perhour
= 0.86
How fast will stunt double have to run?
Velocity = 3km/0.86
= 3.49 km/hr
The stunt double will have to run as fast as 3.49 kilometer per hour
If a force is applied, but the object does
not move, what can we say about the
amount of work that is done?
A. Some work is done.
B. No work is done.
C. The work equals the force.
D. A large amount of work is done.
Answer:
doesn't move, no work is done; if a force is applied and the object moves a distance d in a direction other than the direction of the force, less work is done than if the object moves a distance d in the direction of the applied.
Answer:
B. No work is done.
Explanation:
Work is only done when the object moves in the direction of the force.
what is the effect of cigarette smoke in your family
In 1994, Leroy Burrell of the United States set what was then a new world record for the men’s 100 m run. He ran the 1.00 102 m distance in 9.5 s. Assuming that he ran with a constant speed equal to his average speed, and his kinetic energy was 3.40 103 J, what was Burrell’s mass?
Answer:
61.33 Kg
Explanation:
From the question given above, the following data were obtained:
Distance = 1×10² m
Time = 9.5 s
Kinetic energy (KE) = 3.40×10³ J
Mass (m) =?
Next, we shall determine the velocity Leroy Burrell. This can be obtained as follow:
Distance = 1×10² m
Time = 9.5 s
Velocity =?
Velocity = Distance / time
Velocity = 1×10² / 9.5
Velocity = 10.53 m/s
Finally, we shall determine the mass of Leroy Burrell. This can be obtained as follow:
Kinetic energy (KE) = 3.40×10³ J
Velocity (v) = 10.53 m/s
Mass (m) =?
KE = ½mv²
3.40×10³ = ½ × m × 10.53²
3.40×10³ = ½ × m × 110.8809
3.40×10³ = m × 55.44045
Divide both side by 55.44045
m = 3.40×10³ / 55.44045
m = 61.33 Kg
Thus, the mass of Leroy Burrell is 61.33 Kg
In the United States, household electric power is provided at a frequency of 60 HzHz, so electromagnetic radiation at that frequency is of particular interest. On the basis of the ICNIRP guidelines, what is the maximum intensity of an electromagnetic wave at this frequency to which the general public should be exposed
Answer:
the maximum intensity of an electromagnetic wave at the given frequency is 45 kW/m²
Explanation:
Given the data in the question;
To determine the maximum intensity of an electromagnetic wave, we use the formula;
[tex]I[/tex] = [tex]\frac{1}{2}[/tex]ε₀cE[tex]_{max[/tex]²
where ε₀ is permittivity of free space ( 8.85 × 10⁻¹² C²/N.m² )
c is the speed of light ( 3 × 10⁸ m/s )
E[tex]_{max[/tex] is the maximum magnitude of the electric field
first we calculate the maximum magnitude of the electric field ( E[tex]_{max[/tex] )
E[tex]_{max[/tex] = 350/f kV/m
given that frequency of 60 Hz, we substitute
E[tex]_{max[/tex] = 350/60 kV/m
E[tex]_{max[/tex] = 5.83333 kV/m
E[tex]_{max[/tex] = 5.83333 kV/m × ( [tex]\frac{1000 V/m}{1 kV/m}[/tex] )
E[tex]_{max[/tex] = 5833.33 N/C
so we substitute all our values into the formula for intensity of an electromagnetic wave;
[tex]I[/tex] = [tex]\frac{1}{2}[/tex]ε₀cE[tex]_{max[/tex]²
[tex]I[/tex] = [tex]\frac{1}{2}[/tex] × ( 8.85 × 10⁻¹² C²/N.m² ) × ( 3 × 10⁸ m/s ) × ( 5833.33 N/C )²
[tex]I[/tex] = 45 × 10³ W/m²
[tex]I[/tex] = 45 × 10³ W/m² × ( [tex]\frac{1 kW/m^2}{10^3W/m^2}[/tex] )
[tex]I[/tex] = 45 kW/m²
Therefore, the maximum intensity of an electromagnetic wave at the given frequency is 45 kW/m²
Rolled cookies are cut into fancy shapes.
True
False
Answer:
false
Explanation:
the answer is false
Answer:
true
Explanation:
cause why not, try new things init
Which of the following parallel plate diagrams would have the greatest electric fields between them?
The greatest electric field between them is Option B.
An electric field is the physical subject that surrounds electrically charged particles and exerts a force on all other charged debris inside the area, either attracting or repelling them. It also refers back to the bodily field of a machine of charged particles.
Reasoning:-
Electric field = Kq/r²
Since the distance is inversely proportional to the square root of the distance between them. therefore decreasing the distance electric field will be the greatest. Hence Option B.
The electrical field is defined mathematically as a vector discipline that can be related to each point in space, the force in step with unit charge exerted on a fine take a look at the price at rest at that factor. the electric field is generated by the electrical rate or through time-varying magnetic fields. electric fields provide us with the pushing force we need to set off the contemporary float.
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Which is a tool that use in medicine to view internal organs and pregnancy
Theano was one of the first known mathematicians.
A. True
B. False
Answer:
Theano is considered by some to be the first known woman mathematician. Based on the works that have survived, it is thought that she worked on The Golden Mean and The Golden Rectangle. While her exact life story remains unknown, she is believed to be either the student or wife of Pythagoras, and sometimes both.
True
Answer: False
Explanation: It's a software
Explain how this makes sense in consideration of the equation for speed (speed = distance/ time)
Answer: Ok um so The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).
Explanation:
In light of the speed equation (speed = distance/time), this makes sense. because the speed unit is appropriate.
What is speed?Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while v for the final speed. its si unit is m/sec.
The unit of distance is the meter and the unit of time is a second.
The distance is found as follows;
Distance = speed × time
speed = distance/ time
Put the units in formula;
speed = m/sec
m/sec=m/sec
This makes sense in consideration of the equation for speed (speed = distance/ time). Because the unit of speed is justified.
Hence,in consideration of the speed equation, (speed = distance/time), this makes sense.
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PLEASE HELP ASAP!!!
An object has a kinetic energy of 50 J and a velocity of 5 m/s, what is the mass of the
object?
A. 4 kg
B. 55 kg
С. 10 kg
D. 1 kg
Answer:
0.5mv^2=50, v=5, 25/2×m=50, m=50×2/25, So, the answer is 4
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Question
A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.50 N is applied. A 0.500 - kg particle rests on a frictionless horizontal surface and is attached to the free end of the spring. The particle is displaced from the origin to x = 5.00 cm and released from rest at t = 0. (a) What is the force constant of the spring? (b) What are the angular frequency ω, the frequency, and the period of the motion? (c) What is the total energy of the system? (d) What is the amplitude of the motion? (e) What are the maximum velocity and the maximum acceleration of the particle? (f) Determine the displacement x of the particle from the equilibrium position at t = 0.500 s. (g) Determine the velocity and acceleration of the particle when t = 0.500 s.
Explanation:
(a) Hooke's law:
F = kx
7.50 N = k (0.0300 m)
k = 250 N/m
(b) Angular frequency:
ω = √(k/m)
ω = √((250 N/m) / (0.500 kg))
ω = 22.4 rad/s
Frequency:
f = ω / (2π)
f = 3.56 cycles/s
Period:
T = 1/f
T = 0.281 s
(c) EE = ½ kx²
EE = ½ (250 N/m) (0.0500 m)²
EE = 0.313 J
(d) A = 0.0500 m
(e) vmax = Aω
vmax = (0.0500 m) (22.4 rad/s)
vmax = 1.12 m/s
amax = Aω²
amax = (0.0500 m) (22.4 rad/s)²
amax = 25.0 m/s²
(f) x = A cos(ωt)
x = (0.0500 m) cos(22.4 rad/s × 0.500 s)
x = 0.00919 m
(g) v = dx/dt = -Aω sin(ωt)
v = -(0.0500 m) (22.4 rad/s) sin(22.4 rad/s × 0.500 s)
v = -1.10 m/s
a = dv/dt = -Aω² cos(ωt)
a = -(0.0500 m) (22.4 rad/s)² cos(22.4 rad/s × 0.500 s)
a = -4.59 m/s²
What order shows increasing frequency for gamma
rays, microwaves, visible light, and X-rays?
A. gamma rays, X-rays, visible light, microwaves
B. microwaves, visible light, X-rays, gamma rays
C. visible light, gamma rays, microwaves, X-rays
D. X-rays, microwaves, gamma rays, visible light
Answer:
The answer is B: microwaves, visible light, X-rays, gamma rays
Explanation:
I had the same question and I got option B as the correct answer.
The waves arranged in their order of increasing frequency will be
Microwaves,Visible light, X-rays and Gamma rays.What order shows the increasing frequency for gamma rays, microwaves, visible light, and X-rays?Generally, frequency is the numeral of occurrences of a repeating event per unit of duration.
Therefore, gamma rays, microwaves, visible light, and X-rays will be arranged in their order of increasing frequency
In conclusion, The order is given as folllows
microwaves, Visible light, X-rays, and Gamma rays.
Option B is correct
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