Answer:
12.5 m/s
Explanation:
By conservation of momentum, we have that:
[tex]\displaystyle m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'[/tex]
Because the two objects combine after collision, they will have the same velocity:
[tex]\displaystyle m_1v_1 + m_2v_2 = (m_1+m_2)v_f[/tex]
Substitute and solve for final velocity:
[tex]\displaystyle \begin{aligned} (50 \text{ kg})(15\text{ m/s}) + (50\text{ kg})(10\text{ m/s}) & = ((50+50)\text{ kg})v_f \\ \\ v_f & = 12.5\text{ m/s}\end{aligned}[/tex]
In conclusion, the final velocity of the system will be 12.5 m/s.
An object when placed in front of convex lens forms a real image of 0.5 magnification. If the distance of the image from the lens is 24 cm, Calculate Focal Length of Lens.
[tex] \text{u =?} \\ \text{ v = 24cm} \\ \text{ m = 0.5} \\ \text{ f = ?}[/tex]
[tex] \implies \text{m} = \frac{ \text{v}}{ \text{u}} = \frac{24}{ \text{u}} [/tex]
[tex] \implies 0.5 = \frac{1}{2} = \frac{24}{ \text{u}} \\ \\ \therefore \text{u} = 48 \text{cm}[/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{ \text{v}} - \frac{1}{ \text{u}} [/tex]
[tex] \implies \text{f} = \frac{1}{24} - \frac{1}{48} = \frac{2 - 1}{48} = \frac{1}{48} [/tex]
[tex] \text{f} = 48 \text{cm}[/tex]
[tex]\underline{ \text {According To Question,}}[/tex]
[tex] \text{24cm is the distance of object from lens,}[/tex]
[tex] \text{m} = \frac{ \text{v}}{ \text{u}} \\ \\ \implies \frac{1}{2} = \frac{ \text{u}}{24} [/tex]
[tex] \therefore \text{v} = \frac{24}{2} = 12 \text{cm}[/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{ \text{v}} - \frac{1}{ \text{u}} [/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{12} - ( \frac{1}{ - 24} )[/tex]
[tex] \implies \frac{1}{ \text{f}} = \frac{1}{12} + \frac{1}{24} = \frac{2 + 1}{24} = \frac{3}{24} [/tex]
[tex] \implies \text{f} = \frac{24}{3} = 8 \text{cm}[/tex]
Hope this helpsWrite an expression for the coefficient of kinetic friction between the block and the horizontal surface. Your answer should be in terms of x, vB, and g (the acceleration due to gravity)
An expression for the coefficient of kinetic friction between the block and the horizontal surface is given as μk = Ff/mg.
What is coefficient of kinetic friction?
The coefficient of kinetic friction is the force of frcition between a moving object and the horizontal surface.
The expression for the coefficient of kinetic friction between the block and the horizontal surface is given as;
Ff = μkFₙ
Ff = μkmg
μk = Ff/mg
where;
μk is the coefficient of kinetic frictionFf is the kinetic frictional forcem is mass of the blockg is acceleration due to gravityThus, an expression for the coefficient of kinetic friction between the block and the horizontal surface is given as μk = Ff/mg.
Learn more about coefficient of kinetic friction here: https://brainly.com/question/20241845
13.
Jenny and her brother Tom sit on opposite ends of a seesaw. Jenny is
40 kg and her brother is 30 kg. If Jenny sits 1.5 meters from the pivot
point and Tom sits 1 meter from the pivot point, what is the net torque
on the seesaw?
The net torque on the seesaw is 294 Nm.
What is torque?Torque is the force that tends to rotate the body to which it was applied.
To calculate the net torque, we use the formula below
Formula:
τ = mgd-m'gd'........... Equation 1Where:
τ = Net torquem = Jenny's massm' = Tom's massd = Jenny's distance from the pivotd' = Tom's distance from the pivotg = acceleration due to gravityFrom the question,
Given:
m = 40 kgm' = 30 kgd = 1.5 md' = 1 mg = 9.8 m/s²Substitute these values into equation 1
τ = (40×1.5×9.8)-(30×1×9.8)τ = 588-294τ = 294 NmHence, The net torque on the seesaw is 294 Nm.
Learn more about torque here: https://brainly.com/question/14839816
What parts are found in an electric generator? select 4 options. an armature a battery a permanent magnet an electromagnet brushes slip rings
The parts found in an electric generator for the conversion of electric energy into other forms of energy such as mechanical or chemical energy are an armature, a permanent magnet, an electromagnet brushes, and slip rings.
What is electric generator?
An electric generator is a device that converts motive power into electric power for use in an external circuit.
Parts of electric generators include the following;
an armaturea permanent magnetan electromagnet brushesslip ringsThese parts of electric generator helps in the generation of electricity or conversion of electric energy into mechanical energy or light energy or chemical energy.
Thus, the parts found in an electric generator for the conversion of electric energy into other forms of energy such as mechanical or chemical energy are an armature, a permanent magnet, an electromagnet brushes, and slip rings.
Learn more about electric generators here: https://brainly.com/question/12475693
Answer:
armature
permanent magnet
electromagnet
brushes
slip rings
Explanation:
edge 2022-2023
A pair of opposite electric charges of equal magnitude is called a(n)
Answer:
Dipole
Explanation:
A pair of opposite electric charges of equal magnitude is called a(n)
Answer:
Dipole
Explanation:
Both Transverse and Longitudinal Waves transmit____and not_____
A power, work
B work, power
C energy, matter
D matter, energy
Explanation:
How are animals similar? All animals are made of many cells. Most animals can move on their own. Like all living things, animals grow, change, reproduce, and respond to their environment.
Hello, I need help. Due right now
A 1383-kg car moving south at 11.2m / s is struck by a 1732-kg car moving east at 31.3m/s. After the collision, the cars are stuck together. How fast and in what direction do they move immediately after the collision? Define the system as the two cars.
Answer: See below
Explanation:
[tex]\\ \mathrm{Given:} \\\mathrm{Mass \ of \ first \ car}$\left(m_{1}\right)=1383 \mathrm{~kg}$ \\ Velocity $\left(\overrightarrow{V_{1}}\right)=-11.2\ {\math} \mathrm{m} / \mathrm{s}$\\ Mass of second car -$\left(m_{2}\right)=1732 \mathrm{~kg}$\\ Velocity $\left(\vec{v}_{2}\right)=31.3 {\math} \mathrm{m} / \mathrm{s}$[/tex]
[tex]m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2}=\left(m_{1}+m_{2}\right) \vec{v} \\1383(-11.2 {\math})+1732(31.3 {\math}) \\=(1383+1732) \vec{v} \\-15489.6 {\math}+54211.6 {\math}=3115 \vec{v} \\ \vec{v}=(17.4 {\math}-4.972 {\math}) \ \mathrm{m/s}[/tex]
[tex]\text { So magnitude } \vec{|v|} =\sqrt{(17.4)^{2}+(-4.972)^{2}} \\ =\sqrt{327.605} \\ =18.099 \mathrm \ {m/s} \\[/tex]
[tex]\text { Direction } \\\theta=\tan ^{-1}\left(\frac{-4.972}{17.4}\right) \\\theta=-15.945^{\circ}\end{gathered}[/tex]
Therefore, both cars move with a velocity of 18.099 m/s in the direction of 15.945° downward from the x-axis (east)
Answer:
Explanation:
Apply conservation of momentum in N-S direction:
Initial momentum: 1383*(-11.2) + 1732*(0) = -15490
Final momentum: (1383 + 1732) * Final N-S velocity = -15490
Final velocity = 1549/(1383+1732) = -4.97 m/s (-ve means South)
Repeat the same for E-W direction:
Initial momentum: 1383*(0) + 1732*(31.3) = 54211.6
Final momentum: (1383 + 1732) * Final E-W velocity = 54211.6
Final velocity = 54211.6/(1383+1732) = 17.4 m/s (+ve means East)
Combining, the final velocity = sqrt (-4.97^2 + 17.4^2) = 18.10 m/s
at direction of arctan(17.4/4.97) = 74 degree South of East.
Alika finds a certain kind of butterfly near her house. She reads that ultraviolet light is absorbed by the butterfly’s wings, red light is transmitted through the butterfly’s wings, and green light is reflected off the butterfly’s wings. Alika’s friend Claire tells her that if you shine light on the butterfly, its wings will glow.
Can light cause the butterfly’s wings to glow? Why or why not? Does it matter what type of light Alika shines on the butterfly?
Answer:
No the butterflies wings won't glow.
Explanation:
Butterflies have wings that have different color of attractiveness. Butterflies are however attracted to light but can't absorb the light.
The voltage across the primary winding is 6000 v. if the primary winding has 50 coils and the secondary winding has 20 coils, what is the secondary voltage? 120 v 2400 v 15,000 v 120,000 v
if the primary winding has 50 coils and the secondary winding has 20 coils then the secondary voltage will be equal to 2400V
What is voltage?Voltage is defined as the potential difference which apply a force on the charge to flow in the circuit.
This is a question on transformer. A transformer is a device used to step up or step down current and voltage. It consists of the primary windings and secondary windings. Each windings possesses both coil and amount of voltage across each coil.
The transformer formula is
[tex]\dfrac{V_S}{V_P}=\dfrac{N_S}{N_P}[/tex]
Where;
Vs is the voltage across the secondary coil
Vp is the voltage across the primary coil
Ns is the number of turn in the primary coil
Np is the number of turns in the primary coil.
According to the question,
Vs is unknown
Vp is 6000V
Ns is 20turns
Np is 50turns
Substituting the values in the formula given
[tex]\dfrac{V_S}{6000}=\dfrac{20}{50}[/tex]
Vs = 2400V
Therefore the secondary voltage is 2400V
To know more about voltage follow
https://brainly.com/question/1176850
Answer:
2400
Explanation:
edge 2022
Why is it more common to see a lunar eclipse than a solar eclipse?.
Answer:
Lunar eclipses are more widely visible because Earth casts a much larger shadow on the Moon during a lunar eclipse than the Moon casts on Earth during a solar eclipse.
A piece of cheese is placed on a vertical spring of negligible mass and a force constant k = 2300 N/m that is compressed by a distance of 18.0 cm. How much elastic potential energy is stored in this system? (Answer in J)
Answer:
E = 1/2 K x^2 (1/2 *F * x * x)
E = 2300 / 2 N/m * (.18 m)^2 = 37.3 Joules
The quantity of elastic potential energy that is currently stored in the system is equal to 37.26 Joules (J).
We may use the formula for elastic potential energy to compute the amount of elastic potential energy that is stored in the system, which is as follows:
PE, or Elastic Potential Energy, is 0.5 times k times x squared.
where k represents the constant force that the spring exerts and x represents the amount of compression that the spring experiences.
Given:
The spring has a force constant of 2300 Newton-meters (k).
The spring was compressed (x) by 18.0 centimetres, which is equivalent to 0.18 metres when measured in metres.
To finish, enter the values into the formula as follows:
PE = 0.5 × 2300 N/m × (0.18 m)² PE = 0.5 × 2300 N/m × 0.0324 m² PE = 37.26 J
37.26 Joules (J) is the amount of elastic potential energy that is stored in the system.
To know more about elastic potential energy
https://brainly.com/question/19024537
#SPJ2
help me with this plsssssssssssssss
Answer:
D
Explanation:
The digestive system does all of these functions
the stomach and small intestine breaks down foodthe small intestine absorbs nutrientsthe large intestine eliminates wasteall these components (and more) make up the digestive system.
if you are unsure, visit bbc bitesize for more information.
When energy is added to a wave, how can the wave change?.
Answer:
When waves overlap in-phase (crest meets crest or trough meets trough) the waves energy is additive and the amplitude increases.
Explanation:
When waves overlap out-of-phase (crest meets trough) the waves cancel and the amplitude (energy) decreases. When two interfering waves cancel each other out.
What are the two conditions for equilibrium of a rigid body? how would this experiment demonstrate their validity?.
Answer:
They're are Conditions .... (L00K D0WN.)
Explanation:
Conditions for equilibrium require that the sum of all external forces acting on the body is zero (first condition of equilibrium), and the sum of all external torques from external forces is zero (second condition of equilibrium). These two conditions must be simultaneously satisfied in equilibrium.
If the body temperature of a person is recorded as 37°C, what is the person’s body temperature in K? Round your answer to the nearest whole number.If the body temperature of a person is recorded as 37°C, what is the person’s body temperature in K? Round your answer to the nearest whole number.
yeah help me with this one too i have no clue
Answer:
C. Stimulus = temperature, response = sweat
Explanation:
So basically, stimulus means cause and response means effect.
So, the cause in this case is temperature, while the response to the temperature is sweating.
Which is the surest test of charge on a body?
(a) Repulsion
(b) Lightning
(c) Combustion
(d) Insulation
Answer:
Repulsion
Explanation:
Unlike attraction of magnets opposite polls
Repulsion happens between same polesLike if you put north pole to north poll they get repulsed .Same with south polesAnswer:
Repulsion
Explanation:
Brainliest MisterBrainly
[tex]\red{ \rule{0pt}{900000pt}}[/tex]
this one too!! need just 1 answer about this system
Answer:
A
Explanation:
The endocrine system has all of the body's hormones it regulates the biological processes. For example it can help brain development, nervous system development, and it can regulate blood sugar. (This is the closest to A)
A stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s. What is the frequency perceived by a firefighter racing toward the station at 11km/h
For a stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s, the frequency perceived is mathematically given as'
F=81.721Hz
What is the frequency perceived by a firefighter racing toward the station at 11km/h?Generally, the equation for the doppler effect is mathematically given as
[tex]F'=\frac{vs+v}{vs}*f[/tex]
Therefore
F=81(343+3.05556)/343
F=81.721Hz
In conclusion, the frequency is
F=81.721Hz
Read more about frequency
https://brainly.com/question/24623209
How many feet will it take you to stop from 60 mph.
What is meant by the statement that the power of an electric heater is 1200W? What happens to the kinetic energy when the
velocity of a moving body is doubled?
The statement the power of an electric heater is 1200 W means that the electric heater used up 1200 J of electric energy in one second.
When the velocity of a moving body is doubled, its kinetic energy will become four times its initial kinetic energy.
What is power?Power is the rate at which energy is used up. The s.i unit of power is Watt (W).
From the question, if an electric heater is 1200 W, it means that the electric heater used up 1200 J of electric energy in one second
What is kinetic energy?Kinetic energy is the energy of a body in motion.
The formula for the kinetic energy of a body is given as
K.E = mv²/2From the equation above, it can be seen that if the velocity of a moving body is doubled, the kinetic energy of the body will become four times the initial kinetic energy of the body.
Hence, The statement the power of an electric heater is 1200 W means that the electric heater used up 1200 J of electric energy in one second.
When the velocity of a moving body is doubled, its kinetic energy will become four times its initial kinetic energy.
Learn more about electric power here: https://brainly.com/question/24858512
Two metal spheres having charges of 4. 0 × 10–6 coulomb and 2. 0 × 10–5 coulomb, respectively, are brought into contact and then separated. After separation, the charge on each sphere is
Answer:
12*10^(-6) or 1.2*10^(-5)
Explanation:
if both of spheres are in same size.
q after = (q1+q2)/2 = ( (4.0 + 20.0)*10^(-6) )/2 = 12*10^(-6) or 1.2*10^(-5)
The voltage across the secondary winding is 10,000 v, and the voltage across the primary winding is 25,000 v. if the primary winding has 200 coils, how many coils are in the secondary winding? 50 coils 80 coils 125 coils 500 coils
Answer: 80 coils
Explanation for 80 coils: voltage across the secondary winding is 10,000 V, and the voltage across the primary winding is 25,000 V. If the primary winding has 200 coils, how many coils are in the secondary winding...The voltage across the primary winding is 6000 V!
which of these is an example of point source pollution
Answer:
the reaserch I did says that d is the correct answer
Two solenoids have the same cross-sectional area and length, but the first one has twice as many turns per unit length as the second. The ratio of the self-inductance of the second solenoid to that of the first is.
Answer:
2:1
Explanation:
(a) before the submarines pass each other, sub b quickly turns around and speeds up to 12. 4 m/s. What is the change in frequency noticed by observers on sub b? (enter you answer to one decimal place. )
The change in frequency noticed by observers on sub b is : 2.66 Hz before the submarines pass each other.
Given data:
New speed of Sub b ( Vb ) = 12.4 m/s
F₁ = 1416.44 Hz
Frequency of sonar wave ( Fₐ ) = 1400 Hz
Speed of sound in water ( V ) = 1533 m/s
Speed of submarine A ( Va ) = 8.4 m/s
Determine the change in frequency observed on sub BThe change in frequency can be calculated using the formula below
F₁' = Fₐ ( V + Vb / V - Vₐ )
= 1400 ( 1533 + 12.4 / 1533 - 8.4 )
= 1400 ( 1545.4 / 1524.6 )
= 1419.1 Hz
Final step : determine the change in frequency
ΔF = F₁' - F₁
= 1419.1 - 1416.44
= 2.66 Hz.
Hence we can conclude that The change in frequency noticed by observers on sub b is : 2.66 Hz.
learn more about change in frequency : https://brainly.com/question/254161
The frequency is the number of waves that travel through a particular place in one unit of time. The change in frequency noticed by observers on sub b is 2.66 Hz.
What is the frequency?The frequency is the number of waves that travel through a particular place in one unit of time. It may also be described as the number of cycles or vibrations experienced by a body in periodic motion in one unit of time.
Given that the new speed of the sub B is 12.4 m//sec, while the frequency of the submarine is 1416.44 Hz. The frequency of the sonar wave of submarine A is 1400 Hz. Also, the speed of sound in water, V is 1533 m/sec, and the speed of submarine A is 8.4 m/s.
Now, the frequency of the sub B after the speed is increased will be equal to,
[tex]F_1' = F_a \times \dfrac{(V+V_b)}{(V-V_a)}[/tex]
[tex]\rm = 1400 \times \dfrac{(1533+12.4)}{(1533-8.4)}\\\\=1400 \times \dfrac{1545.4}{1524.6}\\\\=1419.1\ Hz[/tex]
Further, the change in frequency noticed by observers on sub b,
[tex]\rm \triangle F = F_1'-F_1 = 1419.1-1416.44 = 2.66\ Hz[/tex]
Hence, the change in frequency noticed by observers on sub b is 2.66 Hz.
Learn more about Frequency:
https://brainly.com/question/5102661
#SPJ4
All things being equal,
in which of the
following locations
would you expect to
find the deepest and
richest topsoil?
B. on a mountain top
A. in the Arctic
C. in a valley
D. on the side of a mountain
Answer:
C. In a valley .
.............................
What is the wavelength of an electromagnetic wave?
a
The number of waves that pass a point in a certain
amount of time.
b
The distance a wave can travel through empty
space
c The height of the wave from top to bottom
d
The distance between the peaks of two waves that
are next to each other
Answer: (A) The number of waves that pass a point in a certain amount of time.
Explanation:
Electromagnetic waves are categorized according to their frequency f or, equivalently, according to their wavelength λ = c/f. Visible light has a wavelength range from ~400 nm to ~700 nm.
Frequency: Is the number of waves that pass a certain point in a specified amount of time.
Trough: The low point of the wave cycle.
Wavelength: The distance between two successive peaks.
Electromagnetic wave: One of the waves that are propagated by simultaneous periodic variations of electric and magnetic field intensity.
A physician is going to use high-frequency electromagnetic radiation to treat cancer in a patient. Which is a claim about this event?(1 point)
A wave model is most useful for describing the frequency of the radiation.
Using gamma rays is the best to treat cancer because they act like particles.
The radiation will destroy the cells by transferring energy to them.
All of the cancer cells in the targeted region will be destroyed by the radiation.
Answer:
The answer is B
Explanation:
This is the only statement that is opinionated, therefore it is the only claim.
Answer: A wave model is most useful for describing the frequency of the radiation
Explanation:
I just took the test
what are some natural sources of greenhouse gases
Answer:
Sources of greenhouse gases
Natural sources include respiration and decomposition of plants and ocean release of greenhouse gases to the atmosphere. Many natural GHGs occur naturally in the atmosphere, such as water vapour, carbon dioxide, methane and nitrous oxide. Some greenhouse gases are synthetic, human-made.