(a) The equivalent resistance of three parallel resistors is (R₁R₂R₃)/(R₁R₂ + R₁R₃ + R₂R₃).
(b) The total circuit current is 12/R.eq.
(c) The voltage drop across and current in each resistor is IR₁, IR₂ and IR₃.
Equivalent resistance of three parallel resistors
The equivalent resistance of three parallel resistors is calculated as follows;
Let the first resistor = R₁Let the second resistor = R₂Let the third resistor = R₃[tex]\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_2}\\\\R_{eq} = \frac{R_1R_2R_3}{R_1R_2 + R_2R_3 + R_1R_3}[/tex]
Total Circuit CurrentThe total circuit current is calculated as follows;
V = IR
[tex]I= \frac{V}{R_{eq}} = \frac{12 \ V}{R_{eq}}[/tex]
Voltage drop in each resistorVoltage drop in resistor 1 = IR₁
Voltage drop in resistor 2 = IR₂
Voltage drop in resistor 3 = IR₃
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Every summer I drive to Pennsylvania. It is 895 km to get there. If I average 100 km/hr, how much time will I spend driving?
Answer the time you bee spending driving iss 795 because 895-795=100
Explanation:
How are distance and displacement related?
Answer: They both give us a notion about the position of an object
Explanation:
how does the egg drop project apply to everyday life
Answer:
Explanation:
It apply on how you will protect the egg because you protect the egg at all cost. It's very similar on who is protecting you, You need someone to be there for you always because an egg can't survive on it's own. Just like your life your can't be always rolling around like an egg you need to be safe and always with the person who cares for you. An egg is safe when they are together in a tray just like family and friends.
A car started its journey at point A. After 30 seconds, the car had reached point B. The car stops at point B for 10 seconds. Then, the car turned around and arrived at point A after 15 seconds. The car stopped at point A for 20 seconds. The car then went on his way and get to the point C after 10 seconds. Find the velocity from 30 to 40s
Since the displacement is equal to zero, the velocity from 30 to 40s will also be zero.
VelocityVelocity is the distance travelled by a body in a specific direction per time taken. It is measured in meter per second. That is, m/s
Given that a car started its journey at point A. After 30 seconds, the car had reached point B. The car stops at point B for 10 seconds. Then, the car turned around and arrived at point A after 15 seconds. The car stopped at point A for 20 seconds. The car then went on his way and get to the point C after 10 seconds.
To find the velocity from 30 to 40s, we must realize that velocity can also be defined as;
Velocity = displacement / time
The displacement from point A to B and back to A is equal to zero.
Therefore, The velocity from 30 to 40s is also zero.
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Sam runs 9 kilometers in 2.5 hours. what is his speed?
Considering the definition of speed, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].
Definition of speedSpeed is a quantity that expresses the relationship between the space traveled by an object. That is, the speed is associated with the change of position of an object in space within a certain amount of time.
The speed can be calculated using the expression:
[tex]speed= \frac{displacement}{time}[/tex]
Speed of SamIn this case, you know:
displacement= 9 kmtime= 2.5 hReplacing in the definition of speed:
[tex]speed= \frac{9 km}{2.5 h}[/tex]
Solving:
speed= 3.6 [tex]\frac{km}{h}[/tex]
Finally, the speed of Sam is 3.6 [tex]\frac{km}{h}[/tex].
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The words can only be used onece. Use the words to complete the sentences below: Switch, break, on, complete, electricity, bulb, off, battery A circuit which has a _____________________ in it will not allow _____________________ to flow through it. A device called a ______________________ can be used to ______________ a circuit so that other devices can be switched ____________ or ______________________.
Answer:
A circuit which has a battery in it will not allow electricity to flow through it. A device called a switch can be used to complete a circuit so that other devices can be switched on or off.
Explanation:
^^^
Calculate the energy used by a radio of power 30W in 1 minute.
Answer:
1.8kJ
Explanation:
Formula :
Energy used = Power x time
===============================================================
Given :
⇒ Power = 30 W
⇒ Time = 1 minute = 60 seconds
=============================================================
Solving :
⇒ Energy used = 30 W × 60 s
⇒ Energy used = 1,800 J
⇒ Energy used = 1.8kJ
Answer:
1800 joule (1.8kJ)
Explanation:
Formula:
Power = Work / Time
30 = Work / 60
Work = 1800 joule
Work = 1.8kJ
Energy = Work done = 1.8kJ
Hence, Energy used is 1.8kJ.
Click this link to view O*NET’s Work Styles section for Postal Service Mail Carriers. (Common work styles are listed near the top and less-common work styles are near the bottom.) According to O*NET, which common work styles do Postal Service Mail Carriers need? Select four options.
dependability
creativity
leadership
integrity
self-control
attention to detail
The common work styles do Postal Service Mail Carriers need creativity, integrity, self-control and attention to detail.
They commonly sort mail and orchestrate it arranged by their conveyance course. They convey the mail by walking or any vehicle. They also gather mail and convey it to the post office. Mail transporters answer clients inquiries, provide forms, and look out for surprising conditions on their course.
Thus, the common workstyles they should need to have are creativity, integrity, self-control and attention to detail.
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Answer:
1456
Explanation:
If a rock is thrown downward with an initial speed 6ms then what is the rocks velocity after 4 sec
Answer:
[tex]\huge\boxed{\sf V_f=45.2 \ m/s}[/tex]
Explanation:
Given Data:Initial velocity = [tex]V_i[/tex] = 6 m/s
Time = t = 4 sec
Acceleration due to gravity = g = 9.8 m/s²
Required:Final velocity = [tex]V_f[/tex] = ?
Formula:[tex]v_f=v_i+gt[/tex]
Solution:Put the givens in the formula
[tex]V_f=6 +(9.8)(4)\\\\V_f=6+39.2\\\\V_f=45.2 \ m/s\\\\\rule[225]{225}{2}[/tex]
the yacht shown below has a mass of 8300kg. determine its weight in air [ Acceleration due to gravity, g = 10 N kg¹
[tex]w = mg [/tex]
Answer:
83000kg
Explanation:
mass=8300kg
g=10
w=mg
8300×10=83000kg
Pls help me l will make it brainlest
Answer:
0.04 °C⁻¹
Explanation:
First, we need to calculate linear expansivity, then after finding that value, we can move on to finding the area expansivity.
=============================================================
Finding Linear Expansivity :
⇒ α = Final length - Original length / (Original length × ΔT)
⇒ α = 9 - 4 / (4 × 70 - 20)
⇒ α = 5 / 5 × 50
⇒ α = 0.02
============================================================
Finding Area Expansivity :
⇒ Area Expansivity = 2 × Linear Expansivity
⇒ β = 2 × α
⇒ β = 2 × 0.02
⇒ β = 0.04 °C⁻¹
Calculate the value of the area expansion of a steel rod of lenght 4cm at 20°c after heating attains another length of 9cm at 70°c.
Area = 0.02
Area Expansity = [tex]0.0 {4}^{ - 1} [/tex]
The only way we get information about what's happening at large astronomical distances away, such as the length of our galaxy, is through the detection of light. true false
Answer:
true
Explanation:
Light Years are the longest unit-distance. Our galaxy is numerous light years across.
Two 1-kg objects, C and D, increase in temperature by the same amount, but the
thermal energy transfer of object C is greater than the thermal energy transfer of
object D. If object C has a specific heat of 235 J/kg-K, which material might object
D be made of?
(A) aluminum
(B) brass
(C) iron
(D) lead
The object D is made up of material Lead. The correct option is D.
What is specific heat?The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.
Two 1-kg objects, C and D, increase in temperature by the same amount, but the thermal energy transfer of object C is greater than the thermal energy transfer of object D. The object C has a specific heat of 235 J/kg-K.
Q = m C ΔT
Qc > Qd
The energy transfer is proportional to specific heat.
Specific heat of D must be less. The possible material with specific heat less than the given value is for Lead material.
Thus, the correct option is D.
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A spring with a spring constant of 350 N/m pulls a door closed. How much work is done as the spring pulls the door at a constant velocity from an 85.0-cam stretch to a 5.0-cm stretch?
The work done to stretch the spring will be 112 J.
What is spring force?The force required to extend or compress a spring by some distance scales linearly with respect to that distance is known as the spring force. Its formula is
F = kx
The given data in the problem is;
F is the spring force =?
K is the spring constant= 8.5 N/m
x is the length by which spring got stretched = 1.2m
The work is done to stretch the spring is;
[tex]\rm W= \frac{1}{2} kx^2 \\\\ W=\frac{1}{2} \times 350 \times (0.850-0.050)^2 \\\\ W=0.5 \times 350 \times (0.80)^2 \\\\W=112 \ J[/tex]
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A motor with a power of 7.0 × 104 watts lifts a loaded elevator to a height of 20.00 meters for 40 seconds. what is the force exerted by the motor on the elevator? a. 1.4 × 104 newtons b. 7.0 × 104 newtons c. 1.4 × 105 newtons d. 2.1 × 105 newtons e. 3.5 × 105 newtons
Answer:
c. 1.4×10^5 N
Explanation:
Work is the product of power and time. It is also the product of force and distance. We can equate these two products to find the distance.
__
Wt = Fd
(7.0×10^4 N·m/s)(40 s) = F(20 m)
F = (7.0×10^4)(40/20) N = 1.4×10^5 N
The force exerted by the motor is 1.4×10^5 newtons.
Please select the word from the list that best fits the definition
the resistance of an object to moving or to stopping
a. gravity
b. inertia
c. gravitational force
Answer:
inertia
Explanation:
the resistance of an object to moving or to stopping
a. gravity
b. inertia
c. gravitational force
What would happen if the atmosphere consisted of pure oxygen.
Answer:
Then our fires would become massive.
Explanation:
Hope this helps
Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which change shows the best application of Newton’s laws of motion to achieve this goal?
increasing the inertia of the car
decreasing the reaction force
increasing the action force
decreasing the mass of the car
Decreasing the mass of the car will help increase the acceleration of the car using application of Newton’s laws of motion.
What is Newton's law of motion?
This law discusses the relationship between motion of a substance and the forces acting on it.
Heavy objects are more difficult to move which is why decrease in mass will help increase the acceleration.
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Answer: decreasing the mass of the car
Explanation: this is for a TLDR trust
Scientists are making plans to put a probe in orbit around Earth. They want the probe to enter the orbit shown below.
An illustration of the earth with a concentric circle around the earth with arrowheads in the counterclockwise direction. At the top of the circle is a black dot with a vector labeled Y away from the center of the circle, a vector labeled W toward the center of the circle, a vector tangent to the circle and clockwise labeled Z and a vector labeled X tangent to the circle and counterclockwise.
Which arrow shows the direction that the probe should be moving in order for it to enter the orbit?
An arrow which shows the direction that the probe should be moving in order for it to enter the orbit is X.
What is an orbit?An orbit can be defined as the curved path through which a astronomical (celestial) object such as planet Earth, in space move around a Moon, Sun, planet or star.
In this scenario, if the scientists want the probe to enter the orbit they should ensure that probe moves in direction X. This ultimately implies that, the probe must move in the same direction as the orbit, in order to enter it.
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Answer:
(b)
Explanation:
X
The 85-lb force P is applied to the 200-lb crate, which is stationary before the force is applied. Determine the magnitude and direction of the friction force F exerted by the horizontal surface on the crate.
The direction of the friction force F exerted by the horizontal surface on the crate will be in the left direction.
How to depict the force?From the information given, the 85-lb force P is applied to the 200-lb crate, which is stationary before the force is applied.
mg = 200 × 0.2248 × 9.8 = 440.608
The static friction force will be:
= 0.5 × 440.608
= 220.304N
Therefore, the static friction is greater than the force applied. Therefore, there'll be a static friction acting on the box on the left direction.
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What type of motion a particle has if its velocity-time graph is as mentioned below? i) Graph is parallel to the time axis ii)Graph is a straight line passing through the origin and having a constant slope.
The velocity time graph is used to plot the velocity of a body against the time.
What is the velocity time graph?The velocity time graph is used to plot the velocity of a body against the time. The slope of this graph is called the velocity.
Now the following are true regarding the scenarios below;
Graph is parallel to the time axis - This is constant velocity
Graph is a straight line passing through the origin and having a constant slope. - There is a uniform acceleration.
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A bicyclist moving at a constant speed takes 10.0 seconds to travel 500 meters down a path inclined 30.0° downward from the horizontal. what is the vertical velocity of this motion? a. 18.3 meters/second b. 43.3 meters/second c. 25.0 meters/second d. 28.9 meters/second e. 32.1 meters/second
A bicyclist moving at a constant speed takes 10.0 seconds to travel 500 meters down a path inclined 30.0° downward from the horizontal. the vertical velocity of this motion is mathematically given as
V' = 25 m/s. Option C.
What is the vertical velocity of this motion?Generally, the equation for the Inclined Component is mathematically given as
V=d/s
Therefore
V = 500/10
V= 50 m/s
In conclusion, for the vertical Component
[tex]V'= dsin \theta[/tex]
V'= 50Sin30
V' = 25 m/s
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To fully complete this project, you will submit the following: complete the data table with values that you determine from the video and calculated. find the average wave speed as asked for in question 3. find the mathematical speed of sound as asked for in question 4. show your calculation. answer to question 5 in complete sentences.
Since no data table was provided, the wave speed be calculated by taking the mean of speed values.
Also, the mathematically derived speed of sound is 343 m/s at 20 °C.
What is speed of sound in air?Sound is an example of a mechanical wave and require a material medium for it's transmission.
The speed of sound in air has been determined to be about 343 m/s at 20 °C.
The average wave speed can be calculated using the formula:
Average wave speed = (initial speed + final speed)/2The formula relating speed of a wave, frequency, and wavelength is given below:
Speed = wavelength × frequency.It is important to note that in this question, no data table or video was provided.
Therefore, the wave speed be calculated by taking the mean of speed values obtained in the experiment as shown in the video.
Also, the mathematically derived speed of sound is 343 m/s at 20 °C.
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When the switch is closed electrons will flow from.
The statement is true, when the switch is closed electrons will flow.
What is current?Current can be defined as the rate of flow of charges or electrons in a given circuit.
Q = It
I = Q/t
where
Q is charget is timeI is currentWhat is a Closed circuit?A closed circuit is a type of circuit in which the wire connection of the circuit is complete and in which current flows.
Switch can be used close or open a circuit.
Thus, the statement is true, when the switch is closed electrons will flow.
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How much does a
0.150 kg baseball weigh?
[?] Not
The weight of the baseball is 1.47 N.
What is weight?Weight is the gravitational pool of a body or an object.
To calculate the weight of the body, we use the formula below.
Formula:
W = mg.............. Equation 1Where:
W = Weight of the baseballm = Mass of the baseballg = Acceleration due to gravity.From the question,
Given:
m = 0.150 kgg = 9.8 m/s²Substitute these values into equation 1
W = 0.150×9.8W = 1.47 N.Hence, the weight of the baseball is 1.47 N.
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This diagram shows half of the magnetic field of a bar magnet. Carefully draw in the other
half of the field.
Which way does the magnetic field go? Tick the correct box.
From the north pole to the south pole of the magnet. From the south pole to the north pole of the magnet..
Answer:
Explanation:
Which air mass would produce cold, dry weather in the winter
a. continental polar
b. maritime polar
c. continental tropical
d. maritime tropical
The air mass would produce cold, dry weather in the winter is continental polar. The correct option is a.
What is air mass?A huge collection of air with evenly uniform degrees of temperature, humidity, and pressure.
Continental air masses which are formed cold and dry. Air mass that forms over northern Canada is known as continental polar air mass. As it moves to South, it brings dry weather like conditions in the United States.
Thus, the correct option is a.
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Norma kicks a soccer ball with an initial velocity of 10.0 meters per second at an angle of 30.0°.
If the ball moves through the air for 3.2 seconds, what is the horizontal distance traveled by the ball? Round your answer to the nearest tenth.
Answer: 30
Explanation:
A bungee jumper jumps off a bridge and bounces up and down several times.
She finally comes to rest 16 m below the bridge from which she just jumped.
If her mass is 50 kg and the spring constant of the bungee cord is 35 N/m,
how much energy was lost due to air resistance while she was bouncing?
(Recall that g = 9.8 m/s²)
OA. 5420 N
OB. 3360 N
OC. 4280 N
O D. 6550 N
The energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
Conservation of energyThe amount of energy lost due to air resistance while she was bouncing is determined from the principle of conservation of energy.
ΔE = P.E - Ux
ΔE = mgh - ¹/₂kx²
ΔE = (50)(9.8)(16) - ¹/₂(35)(16)²
ΔE = 3,360 J
Thus, the energy that was lost due to air resistance while she was bouncing is determined as 3,360 J.
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3 What is the displacement of a satellite when it makes a complete round along its circular path?
Answer:
0
Explanation:
The displacement is zero since it goes in a full circle and ends up where it started.