Answer:
As the public need for preventing injuries and deaths from car crashes became known, laws were enacted to mandate the inclusion of seat belts in almost all passenger vehicles
Explanation:
Correct on Ap3x
Answer:
D
Explanation:
A 5 kg object is dropped from the top of a 40 m tall building. What is its initial potential energy? What is its velocity the instant it hits the ground? What is its velocity after it has fallen 25 m?
Answer:
GPE = mgh = 5.00 kg .
2.20 + 0.30 m = 122.5 J
Explanation:
The speed of sound in air changes with the temperature. When the temperature T is 32 degrees Fahrenheit, the speed S of sound is 1087.5 feet per second. For each degree increase in temperature, the speed of sound increases by 1.1 feet per second. (Round your answers to two decimal places.) (a) Explain why speed S is a linear function of temperature T. Because S always increases by 1.1 when T increases by 1 Correct: Your answer is correct. , S has a constant rate of change and is a linear function of T. Identify the slope of the function. 1.1 Correct: Your answer is correct. (b) Use a formula to express S as a linear function of T. S = Incorrect: Your answer is incorrect. (c) Solve for T in the equation from part (b) to obtain a formula for temperature T as a linear function of speed S. T = (d) Explain in practical terms the meaning of the slope of the function you found in part (c). The slope of T as a linear function of S is , and this means that an increase in the speed of sound by 1 foot per second corresponds to an increase of degree in temperature.
Answer and Explanation:
A. We have temperature t = 32
Speed of sound, s = 1087.5
As t increases by 1⁰f speed increases by 1.2
So that
S = 1088.6
T= 33⁰f
We have 2 equations
1087.5 = k(32) + c
1088.6 = k(33) + c
Subtracting both equations
(33-32)k = 1088.6-1087.5
K = 1.1
b.). S = kT + c
1087.5 = 32(1.1) + c
Such that
C = 1052.3
Therefore
S = 1.1(t) + 1052.3
C.). S = 1.1t + 1052.3
We make t subject of the formula
T = s/1.1 - 1052.3/1.1
T = 0.90(s) - 956.3
D. This means that We have temperature to rise by 0.90 whenever speed is increased
Our power plant generates electricity using a steam turbine. At the exit from our power generation process, we end up with 562.0 kg/s of liquid water at 330.0 K. We cannot release this water directly into a nearby river if the temperature is over 310.00 K, without causing significant thermal pollution that would damage fish populations. Our plan is to mix this warm water with another cooler water stream at 290.00 K. What is the mass flow rate of this cool water stream needed to meet the regulation
Answer:
The mass flowrate of the cooling water needed to meet the regulation is 560 kg/s
Explanation:
The given information are;
The mass flow rate of the water = 562.0 kg/s
The temperature of the exit water = 330.0 K
The allowable temperature of the of released water into nearby river = 310.00 K
The temperature of the cool water with which the temperature of the exit water is cooled = 290.00 K
Therefore, we have;
Heat gained by the mixture = The heat of the final mixture exited to the river
Q = m×c×ΔT
[tex]m_w[/tex] = 562.0 kg/s
The mass of the cooling water = x
The final temperature = 310 K
4.2×562×(330 - 310) = x×4.2×(310 - 290)
47208 = 84×x
x = 47208/84 = 560 kg
Therefore, the mass flowrate of the cooling water needed to meet the regulation = 560 kg/s.
A wave travels at 48 m/s and has a frequency of 12 Hz. What is the wavelength of the wave?
0.25 m
4.0 m
36 m
60 m
Answer:
Wavelength = 4 m
Explanation:
We know that Velocity = Wavelength × Frequency
So, Wavelength = Velocity / Frequency
Here in the question , Velocity = 48 m/s & Frequency = 12 Hz.
So wavelength = 48/12 = 4 m
>
Some people believe that "all you are" is determined by the types and amount of neurotransmitters that ooze
through your synaptic gaps and the electrical current in your brain.
>
• Do you think that all of your thoughts, hopes, dreams and aspirations are results of physiological processes: your
love, hate, anger and memories are only at the synaptic level? Why or why not?
• How would you explain this to someone who knows nothing about how the brain works?
Answer:
No, although the thoughts, hopes, dreams and aspirations entirely the results of physiological processes: Love, hate, anger and memories are not only at the synaptic level because some or part of human behavior and reaction are due to nature and nurture rather than totally dependent on the external stimuli or nurture
Explanation:
The physiological process can be described as a part of a system that plays a role on how the brain works and in inventory management, a part of a product are items that can be counted in inventory and can then be sold or used internally while a product is an item only meant to be sold.
Therefore, a product consist of all the integral parts required to complete a given function
A product such as what determines emotions, aspirations, thoughts, hopes and dreams has only one predetermined purpose or a process which it fits into even before if was sold or made, just like a bus bought to carry future employees of a company that is having a new site office.
While a part such as the fan belt can be changes and used on other vehicles without altering the journey of the bus.
A system is more than just its integral part as the system was desirable even before it was made while a part is made because of the system.
Please help me, it’s due tonight and I’m very confused!! THANK YOU
Explanation:
If your reaction time is 1 second, then the new reaction time for each is:
Alcohol: 0.30 × 1 + 1 = 1.30
Drugs: 0.50 × 1 + 1 = 1.50
Cell phone: 0.20 × 1 + 1 = 1.20
Would the phases of the moon be affected if the moon did not make one rotation for each revolution of earth. Explain .
Answer:
No. If the moon did not rotate at all we would still see the same visible "fraction" of the moon's surface.
At the full moon phase we would still the entire surface of 1/2 of the moon regardless of which side of the moon we were observing.
Actually the moon does not make one rotation for each revolution of the earth, but rather, one rotation for each complete revolution of the moon around the the earth. That's why we always see the same side of the moon from earth. The back side of the moon is never visible from earth.
The table shows the commonly eaten foods of some groups of organisms.
Commonly Eaten Foods List
Group Commonly Eaten Foods
A squids, crabs, lobsters
B branches, barks, twigs, roots
C insects, leaves, nuts, bird eggs
D vegetables, fish, grains, fruits
Which groups contain both primary and secondary consumers
HELP ASAP
Answer:
c and d
Explanation:
I got your back bro ;)
Answer:
C and D
Explanation:
A racecar accelerates at a rate 19 m/s each second. If the mass of the race car is 1600 kg, determine the net force acting on the car.
30,400 N
8,400 N
84 N
300 N.
Answer:
[tex]19 \times 16000[/tex]
According to the question,
Mass, m = 1600 kgAcceleration, a = 19 m/sForce:We know,
→ [tex]Force = Mass\times Acceleration[/tex]
By substituting the values, we get
[tex]= 1600\times 19[/tex]
[tex]= 30400 \ N[/tex]
Thus the above answer is right.
Find out more information about acceleration here:
https://brainly.com/question/12970081
Hey!Can someone solve my question??
Answer:
P1 = 2680 pa P2 = 4870pa
T1 = 273k T2 = T
From the ideal gas equation,
P1 / T1 = P2 / T2
2680 / 273 = 4870 / T
T = 4870 * 273 / 2860
T = 496.38 k
Kindly Mark Brainliest, Thanks
Answer:
223.38 C
Explanation:
according to gay lussacs law
p1/t1=p2/t2
so 2680/273.16=4870/t2
or t2=496.38 K
in celsius= 496.38-273=223.38 C
Define thermal conductivity.
Answer:
A measure of the ability of a material to transfer heat.
Explanation:
Please mark me as brainliest please
Unimpressed with your previous stunt, the director of the new James
Bond movie has come to you with a more exciting idea. In this stunt,
Bond will run towards a bridge that is 18m above a river. His partner
is in a speedboat 60 meters away from the bridge. Bond jumps
horizontally off the bridge with a speed of 6.7 m/s toward where
his partner is waiting. Starting from rest, his partner begins racing
toward the bridge the moment Bond jumps. What is the minimum
acceleration his partner will need in order to catch Bond before he
hits the water?
Answer:
The minimum acceleration his partner will need in order to catch Bond before he hits the water is 25.688 meters per square second.
Explanation:
Let be the initial position of the sppedboat the reference location, James Bond jumps horizontally and experiments a parabolic motion, which consists in a horizontal motion at constant velocity and an vertical uniform accelerated motion due to gravity.
Speedboat must accelerate from rest and get Bond at right location and instant. Now we describe the appropriate equations of motion for James Bond and for the speedboat:
James Bond
[tex]x_{B} = x_{B,o} + v_{B,o,x} \cdot t[/tex]
[tex]y_{B} = y_{B,o} + v_{B, o, y}\cdot t + \frac{1}{2}\cdot g \cdot t^{2}[/tex]
Speedboat
[tex]x_{S} = x_{S,o}+v_{S,o}\cdot t + \frac{1}{2}\cdot a_{S}\cdot t^{2}[/tex]
Where:
[tex]x_{B,o}[/tex], [tex]x_{S,o}[/tex] - Initial horizontal positions for James Bond and the speedboat, measured in meters.
[tex]x_{B}[/tex], [tex]x_{S}[/tex] - Current horizontal positions for James Bond and the speedboat, measured in meters.
[tex]v_{B,o,x}[/tex], [tex]v_{S,o}[/tex] - Initial horizontal velocities of James Bond and the speedboat, measured in meters per second.
[tex]v_{B,o, y}[/tex] - Initial vertical velocity of James Bond, measured in meters per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]a_{S}[/tex] - Acceleration of the speedboat, measured in meters per square second.
We must observe the following conditions such as we may calculate the minimum acceleration of the speedboat:
1) [tex]x_{B} = x_{S}[/tex]
2) [tex]y_{B} = 0\,m[/tex]
Now, if we know that [tex]x_{B,o} = 60\,m[/tex], [tex]x_{S,o} = 0\,m[/tex], [tex]y_{B, o} = 18\,m[/tex], [tex]y_{B} = 0\,m[/tex], [tex]v_{B,o, x} = -6.7\,\frac{m}{s}[/tex], [tex]v_{S,o} = 0\,\frac{m}{s}[/tex], [tex]v_{B,o,y} = 0\,\frac{m}{s}[/tex] and [tex]g = -9.807\,\frac{m}{s^{2}}[/tex], the resulting system of equations is:
[tex]60\,m +\left(-6.7\,\frac{m}{s} \right)\cdot t = 0\,m +\left(0\,\frac{m}{s} \right)\cdot t +\frac{1}{2}\cdot a_{S}\cdot t^{2}[/tex]
[tex]\frac{1}{2}\cdot a_{S}\cdot t^{2} +\left(6.7\,\frac{m}{s} \right)\cdot t -60\,m = 0[/tex] (Eq. 1)
[tex]0\,m = 18\,m +\left(0\,\frac{m}{s} \right)\cdot t +\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot t^{2}[/tex]
[tex]\frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot t^{2}+18\,m = 0[/tex] (Eq. 2)
At first we get the time from (Eq. 2) by using the Quadratic Formula:
[tex]t_{1} \approx 1.916\,s[/tex] and [tex]t_{2}\approx -1.916\,s[/tex]
Only the first root is physically reasonable. ([tex]t\approx 1.916\,s[/tex])
Then, we substitute time in (Eq. 1) and clear the acceleration of the speedboat:
[tex]\frac{1}{2}\cdot a_{S}\cdot (1.916\,s)^{2} +\left(6.7\,\frac{m}{s} \right)\cdot (1.916\,s) -60\,m = 0[/tex]
[tex]1.836\cdot a_{S}-47.163\,m = 0[/tex]
[tex]a_{S} = 25.688\,\frac{m}{s^{2}}[/tex]
The minimum acceleration his partner will need in order to catch Bond before he hits the water is 25.688 meters per square second.
#8. Benny pushes Betty on her skateboard with a force of 150 N. If she accelerates at 3.0 m/s? what is her
mass? Type the formula and answer.
Answer:
50 kg
Explanation:
Force = Mass x Acceleration
150 = Mass x 3
150 = 50 x 3
At locations A and B, the electric potential has the values VA=1.51 VVA=1.51 V and VB=5.81 V,VB=5.81 V, respectively. A proton released from rest at one of these locations passes through the other location. From which location was the proton released? A B What is its speed when it passes through the other location? speed: m/s Repeat the same question, but this time for an electron. From which location was the electron released? B A What is its speed when it passes through the other location? speed: m/s
Answer:
For proton:
A. The proton is released from Vb (highest potential)
B. v = 2.9x10⁴ m/s
For electron:
A. The electron is released from Va (lowest potential)
B. v = 1.2x10⁶ m/s
Explanation:
For a proton we have:
A. To find the origin from which the proton was released we need to remember that in a potential difference, a proton moves from the highest potential to the lowest potential.
Having that:
Va = 1.51 V and Vb = 5.81 V
We can see that the proton moves from Vb to Va, hence the proton was released from Vb.
B. We now that the work done by an electric field is given by:
[tex]W = \Delta Vq[/tex] (1)
Where:
q: is the proton's charge = 1.6x10⁻¹⁹ C
V: is the potential
Also, the work is equal to:
[tex] W = \Delta K = (K_{a} - K_{b}) = \frac{1}{2}mv_{a}^{2} - \frac{1}{2}mv_{b}^{2} [/tex] (2)
Where:
K: is the kinetic energy
m: is the proton's mass = 1.67x10⁻²⁷ kg
[tex]v_{a}[/tex]: is the velocity in the point a
[tex]v_{b}[/tex]: is the velocity in the point b = 0 (starts from rest)
Matching equation (1) with (2) we have:
[tex]\Delta Vq = \frac{1}{2}mv_{a}^{2}[/tex]
[tex](5.81 V - 1.51 V)*1.6 \cdot 10^{-19} C = \frac{1}{2}1.67 \cdot 10^{-27} kg*v_{a}^{2}[/tex]
[tex] v_{a} = 2.9 \cdot 10^{4} m/s [/tex]
For an electron we have:
A. For an electron we know that it moves from the lowest potential (Va) to the highest potential (Vb), so it is released from Va.
B. The speed is:
[tex]\Delta Vq = \frac{1}{2}mv_{b}^{2} - \frac{1}{2}mv_{a}^{2}[/tex]
Since [tex]v_{a}[/tex] = 0 (starts from rest) and [tex]m_{e}[/tex] = 9.1x10⁻³¹ kg (electron's mass), we have:
[tex](5.81 V - 1.51 V)*1.6 \cdot 10^{-19} C = \frac{1}{2}9.1 \cdot 10^{-31} kg*v_{b}^{2}[/tex]
[tex]v_{b} = 1.2 \cdot 10^{6} m/s[/tex]
I hope it helps you!
What is force? Force is the change in velocity with respect to time. Force is a push or a pull that usually causes distortion and/or acceleration. Force is the product of mass and velocity. Force is the ability to do work. Identify several of the forces that are acting on or around you. (Select all that apply.) force of friction holding nails and screws in desks, cabinets, walls, etc. the outward force acting on a ball that you are twirling on a string force of inertia keeping your car moving weight (force of gravity) pulling down on everything force of friction between you and your seat
Answer:
1. Force is a push or a pull that usually causes distortion and/or acceleration.
2. force of friction holding nails and screws in desks, cabinets, walls, etc.
3. weight (force of gravity) pulling down on everything.
4. force of friction between you and your seat
Explanation:
A force can be defined as a push or a pull that usually causes distortion and/or acceleration. A force is a vector quantity because it has both magnitude and direction. Also, force typically causes an interaction (push or a pull) between two objects such as frictional force, gravitational force, tension force, electric force, normal force, magnetic force etc.
Mathematically, a force is given by the equation;
[tex]F = ma[/tex]
Where;
F represents force.
m represents the mass of an object.
a represents acceleration.
Thus, the acceleration (a) of an object of constant mass (m) is directly proportional to the amount of force acting on it or the degree of force exerted on it.
Additionally, the standard unit of measurement for a force is Newton (N).
Some examples of forces found around us are;
1. Force of friction holding nails and screws in desks, cabinets, walls, etc.
2. Weight (force of gravity) pulling down on everything.
3. Force of friction between you and your seat.
a car of mass 500 kg is moving with an instantaneous speed of 80.0 km/h. what is its kinetic energy
Answer:7.5. 10^4 J
Explanation:
Answer:
The Kinetic Energy of the car at that instant will be 123,210 Joules.
Explanation:
Given:
Mass=500 Kg
[tex]Speed= 80 km/h=\frac{80*1000}{3600}\ m/s =22.2 m/s[/tex]
Required:
Kinetic energy (K.E)=?
Formula:
[tex]K.E=\frac{1}{2}mv^{2}[/tex]
Where:
m is the mass.
v is the speed.
Solution:
[tex]K.E=\frac{1}{2}mv^{2}\\K.E=\frac{1}{2} *500* (22.2)^{2} \\K.E=123,210 J[/tex]
The Kinetic Energy of the car at that instant will be 123,210 Joules.
Laboratory experiments, observational field studies, and model-building are all examples of different forms of scientific investigations. In what way do laboratory experiments primarily differ from other forms of scientific investigations?
A.
A laboratory experiment is the only accepted form of investigation within the scientific community.
B.
Studies about how things behave in nature or studies involving very large objects are best answered through laboratory experiments.
C.
Data can only be generated through laboratory experiments, not other forms of investigation.
D.
Laboratory experiments involve the identification and control of variables.
Answer:D:
Laboratory experiments involve the identification and control of variables.
Explanation:
Its D
Laboraty Expirements inolve the Identification and control of variables
. Common household appliances are rated at 110 V, but power companies deliver voltage in the kilovolt range and then step the voltage down using transformers to 110 V to be used in homes. You will learn in later chapters that transformers consist of many turns of wire, which warm up as current flows through them, wasting some of the energy that is given off as heat. This sounds inefficient. Why do the power companies transport electric power using this method
Answer: High voltage transmission minimizes energy losses during electricity transmission.
Explanation:
When electricity is to be transmitted over a long distance, high voltage transmission is preferred to minimize energy losses due to heat.
The higher the transmission voltage, the lower the current and the lesser the resitance in the wire and the lesser the energy lost due to heat during transmission.
High voltage transmission in kilowatts enables light weight cables to be used for long distance electricity transmission.
This explains why, even though only 110 V may be required at home by some appliances, but electricity is transmitted in kilovolts and often require a stepdown transformer
Gravity is affected by (2 points)
force only
force and distance
mass and distance
force and mass
Answer:
Mass and distance
Explanation:
Answer:
Mass and distance
Explanation:
the larger the mass the faster it falls or more gravity is applied same goes for the distance the farther it is from the ground its heavier however if its to far gravity then does not apply
hope this helps :)
can have brainlist please
Could you add two vectors and have the sum be smaller in magnitude than one of the vectors?
Also, why is it either yes or no?
Answer:
Let there be vectors A and B where B = -A
Then A + B = 0
cylindrical in shape with a radius of 2.5 cm and a height of 6 cm. The bottle is filled with squirts of pepper extract from a machine. Each squirt fills the bottle to a height of 0.025 cm. The density of the pepper extract is 1.135 gm/mL a. The machine malfunctions and stops when the bottle is two thirds full. How many squirts had the machine squirted into the bottle at this time? Show your work. b. What is the mass of extract is in the bottle when it is two thirds full? What is the mass of 1 squirt of extract?
Answer:
Explanation:
Volume of bottle filled = 2/3 x π R²h , R = radius = 2.5cm , h = height = 6 cm
= 2/3 x 3.14 x 2.5² x 6 = 78.5 cm³
volume of one squirt = π R² x .025 = 3.14 x 2.5² x .025 = .49 cm³
No of squirt required = 78.5 / .49 = 160.2 = 160
b )
mass of extract = volume x density = 78.5 x 1.135 = 89 gm
c ) mass of one squirt = volume of one squirt x density = .49 x 1.135 = .57 gm
Help ASAP). Describe the Net Force lab and explain what the lab demonstrated? Will Mark Brainliest. Working on it now can someone please help
Answer:
In the statement of Newton's first law, the unbalanced force refers to that force that does not become completely balanced (or canceled) by the other individual forces. If either all the vertical forces (up and down) do not cancel each other and/or all horizontal forces do not cancel each other, then an unbalanced force exists. The existence of an unbalanced force for a given situation can be quickly realized by looking at the free-body diagram for that situation. Free-body diagrams for three situations are shown below. Note that the actual magnitudes of the individual forces are indicated on the diagram.
In each of the above situations, there is an unbalanced force. It is commonly said that in each situation there is a net force acting upon the object. The net force is the vector sum of all the forces that act upon an object. That is to say, the net force is the sum of all the forces, taking into account the fact that a force is a vector and two forces of equal magnitude and opposite direction will cancel each other out. At this point, the rules for summing vectors (such as force vectors) will be kept relatively simple. Observe the following examples of summing two forces:
Observe in the diagram above that a downward vector will provide a partial or full cancellation of an upward vector. And a leftward vector will provide a partial or full cancellation of a rightward vector. The addition of force vectors can be done in the same manner in order to determine the net force (i.e., the vector sum of all the individual forces). Consider the three situations below in which the net force is determined by summing the individual force vectors that are acting upon the objects.
What invisible force will cause you to fall to the earth if you fall off your bed?
Answer:
The answer to this is falling all the way through the Earth is impossible, since its core is molten. ... As you approached the center of the earth the pull of gravity would decline and eventually (at the center) cease, but inertia would keep you going.
Explanation:
your welcome
You are an engineer in charge of designing a new generation of elevators for a prospective upgrade to the Empire State Building. Before the state legislature votes on funding for the project, they would like you to prepare a report on the benefits of upgrading the elevators. One of the numbers that they have requested is the time it will take the elevator to go from the ground floor to the 102nd floor observatory. They are unlikely to approve the project unless the new elevators make the trip much faster than the old elevators. If state law mandates that elevators cannot accelerate more than 2.10 m/s2 or travel faster than 10.3 m/s , what is the minimum time in which an elevator can travel the 373 m from the ground floor to the observatory floor
Answer:
The value is [tex]t_t =41.12 \ s [/tex]
Explanation:
From the question we are told that
The maximum acceleration is [tex]a_m = 2.10 \ m/s^2[/tex]
The maximum velocity is [tex]v_m = 10.3 \ m/s[/tex]
The height of the observatory floor is [tex]H = 373 \ m[/tex]
Generally at the initial state of the motion the elevator accelerates from rest with a maximum acceleration [tex]a_m = 2.10 \ m/s^2[/tex] to attain a maximum velocity [tex]a_m = 2.10 \ m/s^2[/tex] at a time period of [tex]t_a[/tex]
Then it continues with the maximum velocity for a time period of [tex]t_b[/tex]
and finally decelerates with a maximum deceleration [tex] a_m = -2.10 \ m/s^2[/tex] to come to rest at a time period of [tex]t_c[/tex]
Generally the velocity of the elevator for the first part of the motion is
[tex]v = u + at_a[/tex]
given that it started from rest u = 0 m/s
=> [tex]10.3 = 2.10t_a[/tex]
=> [tex]t_a = 4.90 \ s [/tex]
Generally from kinematic equations the distance covered during the first part of the motion is
[tex]S_1 = ut_a + \frac{1}{2} at_a^2[/tex]
=> [tex]S_1 = 0 + \frac{1}{2} (2.10 ) (4.90)^2[/tex]
=> [tex]S_1 = 25.21 \ m [/tex]
Generally the distance covered during the second part of the elevators motion is mathematically represented as
[tex]S_2 = v_m * t_2[/tex]
[tex]S_2 = 10.3 t_b[/tex]
Generally given that the first part of the elevator motion is similar to the third part of the elevator motion it implies that the distance covered is similar
i.e [tex]S_1 = S_3 = 25.21 \ m[/tex]
The total distance covered is mathematically repented as
[tex]H = S_1 + S_2 + S_3[/tex]
=> [tex]373 = 25.21 + 10.3 t_b + 25.21 [/tex]
=> [tex]t_2 = 31.32 \ s [/tex]
Generally the minimum total time taken is
[tex]t_t = t_a + t_b + t_c[/tex]
Generally [tex]t_a = t_c = 4.90 \ s[/tex]
So
[tex]t_t =4.90+ 31.32 +4.90[/tex]
=> [tex]t_t =41.12 \ s [/tex]
You take a couple of capacitors and connect them in series, to which you observe a total capacitance of 4.8microfarads. However, when you connect them in parallel their combined capacitance is 35microfarads. Determine the value of each capacitor.
Answer:
C₁ = 34.8 μF
C₂ = 0.2 μF
Explanation:
When the capacitors are connected in series their resultant capacitance is given by the formula:
Cs = 1/C₁ + 1/C₂
where,
Cs = Series equivalent capacitance = 4.8 μF
C₁ = Capacitance of 1st Capacitor
C₂ = Capacitance of 2nd Capacitor
Therefore,
4.8 μF = 1/C₁ + 1/C₂
(4.8 μF)(C₁ C₂) = C₁ + C₂ --------------- equation 1
When the capacitors are connected in parallel their resultant capacitance is given by the formula:
Cp = C₁ + C₂
where,
Cp = Parallel equivalent capacitance = 35 μF
Therefore,
35 μF = C₁ + C₂ -------------- equation 2
solving equation 1 and equation 2 simultaneously, we get:
C₁ = 34.8 μF
C₂ = 0.2 μF
Calculate critical angle for right angle prism with apex angle 30o and refraction index 1.5. Consider that light is incident on flat surface of prism. Calculate minimum deviation angle of prism.
Answer:
Solution:
For small angle prism
δ
1
=(μ−1)A
⟹δ
1
=(1.5−1)(4)
⟹δ
1
=2
∘
So ray is incident on plane mirror at 2
∘
,
Hence δ
2
=S
mirror
=180
∘
−2(2
∘
)=176
∘
Total reflection = δ
1
+δ
2
=176
∘
+2
∘
=178
∘
clockwise.
A design team for an electric car company finds that under some conditions the suspension system of the car performs in a way that produces unsatisfactory bouncing of the car. When they perform measurements of the vertical position of the car y as a function of time t under these conditions, they find that it is described by the relationship: y(t) = yoe-at cos(wt) where yo = 0.75 m, a = 0.95s-1, and w= 6.3s-1. In order to find the vertical velocity of the car as a function of time we will need to evaluate the dy derivative of the vertical position with respect to time, or dt As a first step, which of the following is an appropriate way to express the function y(t) as a product of two functions?
a) y(t) = f(t) · g(t), where f(t) = yoe cos and g(t) wt.
b) y(t) = f(t) · g(t), where f(t) = yoe and g(t) = cos(wt).
c) y(t) = f(t)·g(t), where f(t) = yoe cos(wt) and g(t) = -at.
d) y(t) cannot be expressed as a product of two functions.
Answer:
The answer is "Option b"
Explanation:
[tex]\to \bold{y(t) = y_0e^{-a t} cos(\omega t)}[/tex]
[tex]= y_0 e^{-\alpha t} cos(\omega t)[/tex]
and
[tex]\bold{y(t) =f(t) \cdot g(t)}[/tex]
where
[tex]\to f(t) = y_{0}\ e^{- at} \ \ \ \ \ \\\\\ \to g(t) = cos {(\omega t)}[/tex]
Convert 0.0000004372896 to scientific notation.
O 4.372896 x 10^7
O 4.372896 x 10^-7
O 0.437 x 10^-7
O 4.37 x 10^7
Answer:
Based on the scientific notation ,
4.372896 x10^-7 is the answer.
a 5.5kg box us pushed across the lunch table. the net force applied to the box is 9.7n. what is the acceleration of the box?
Answer:
1.76 m/s^2
Explanation:
The formula to find the force is F = ma (reference from 2nd law of Newton's Laws of Motion). Since you need to find the acceleration of the box, you need to use the formula a = f/m
a = 9.7 n divided by 5.5 kg = 1.76 m/s^2
PLS HELP
A marble rolls off a table with a horizontal velocity of 8 m/s and the cliff has a height of
2.71 m. How far does the marble land from the base of the table? Round your answer to
two decimal places.