The sum of the currents through all the branches in the parallel circuit is 0.3 A.
What is a parallel circuit?A parallel circuit is a type of circuit which comprises branches so that the current divides and only part of it flows through any branch.
The voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.
The sum of the current flowing in any branch of a parallel circuit is determined by applying Ohms law as follows;
I = V/R₁ + V/R₂ + V/R₃
where;
V is the voltage across the circuitR₁ is the resistance of the first component of the circuitR₂ is the resistance of the second component of the circuitR₃ is the resistance of the third component of the circuitThus, If the current leaving the cell in a parallel circuit is 0.3 A, then it implies that the resultant current or total current in the parallel circuit is 0.3 A.
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Can u pls show me what a velocity time graph would look like when it’s “moving at a negative constant velocity but then decelerates to a rest”? I cant figure out how it can decelerate to zero is deceleration is going down
If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period equals the change in velocity during that time period.
What happens to an acceleration graph when velocity is constant?Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.
During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.
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How much tension must a cable withstand if it is used to accelerate a 1800- kg car vertically upward at 0.60 m/s2
Answer:
Approximately [tex]1.9\times 10^{4}\; {\rm N}[/tex] (rounded up) assuming that [tex]g = (-9.81)\; {\rm N \cdot kg^{-1}}[/tex] (downwards.)
Explanation:
The car is accelerating at a constant [tex]a = 0.60\; {\rm m\cdot s^{-2}}[/tex] (positive since the car is accelerating upwards.) Hence, the net force on this car will be:
[tex]\begin{aligned}F_{\text{net}} &= m\, a \\ &= 1800\; {\rm kg} \times 0.60\; {\rm m\cdot s^{-2}} \\ &= 1080\; {\rm N}\end{aligned}[/tex].
Note that since net force points in the same direction as acceleration (upwards,) [tex]F_{\text{net}}[/tex] is also positive.
The main forces on this car are:
Weight (downward).Tension from the cable (upward): [tex]F(\text{tension})[/tex].With a mass of [tex]m = 1800\; {\rm kg}[/tex], the weight on this car will be [tex]m\, g = 1800\; {\rm kg} \times (-9.81)\; {\rm N \cdot kg} = (-17658)\; {\rm N}[/tex] (negative since weight points downwards to the ground.)
The net force on this car is the sum of the external forces:
[tex]F_{\text{net}} = F(\text{tension}) + m\, g[/tex].
It is shown that [tex]F_{\text{net}} = 1080\; {\rm N}[/tex] while [tex]m\, g = (-17658)\; {\rm N}[/tex]. Substitute both values into the equation and solve for [tex]F(\text{tension})[/tex]:
[tex]1080\; {\rm N} = F(\text{tension}) + (-17658)\; {\rm N}[/tex].
[tex]\begin{aligned}F(\text{tension}) &= 1080\; {\rm N} + 17658\; {\rm N} \approx 1.9\times 10^{4}\; {\rm N} \end{aligned}[/tex] (rounded up.)
According to the law of universal gravitation, all objects exert gravitational forces on each other. Which statement best describes the information you need to calculate the gravitational force?
The mass of each object and the distance between the two objects
The mass of the larger object and the distance between the two objects
The distance between the objects and the electrical charge of each object
The weight of the objects and the distance between the two objects
Option -a is correct. The two objects' respective masses and distances from one another.
Which of the following statements about objects in gravitational pull on one another is always true?In other words, a line connecting the two masses is where the force vectors we could depict on each mass lie. When two objects pull on one another due to gravity, this is always true. The lines of those attractional forces run between the centers of mass of the two objects.
Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them, according to Newton's law of gravitation.
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Johnny lets a 0.5 kg ball roll on the floor of the classroom. The ball gradually slows down. Draw a free body diagram and calculate the acceleration of the ball
The free body diagram of the ball as shown shows al the forces that acts on the ball as it rolls on the floor.
What is the free body diagram of the ball?We know that a free body diagram is the diagram that shows the forces that act on an object. Force is a vector quantity thus we must consider the magnitude and the direction of the force. An object can be acted upon by a system of forces. The system of forces would only cause the object to move when the forces are unbalanced. If the system of forces is balanced, the object would not move at all.
In this case, we have a ball that is rolling on a floor. There are four main forces that are acting on the ball as we can see from the free body diagram. These are;
1) The weight of the ball that acts downwards
2) The normal reaction that acts upwards
3) The force that moves the ball forward
4) The force of friction that resists the forward motion of the ball.
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A force of 10 N acts on a toy car of mass 2kg. What is the acceleration if the force is doubled?
Explanation:
According to newton's second law.
The acceleration of the car would be 10 m/s² if the force (10 N) on it is doubled.
We know that the acceleration of an object can be calculated using the formula ⇒ a = F/m (i)
Here, the force experienced by the car is ⇒ F = 10 N
If this force is doubled we would have ⇒ 2×10 ⇒ 20 N (ii)
The mass of the car is ⇒ m = 2 kg (iii)
Now, putting the values of the doubled force and mass (ii and iii) in (i), we get ⇒ a = 20/2
a = 10 m/s²
Therefore, the car has an acceleration of 10 m/s² when the force on it is doubled.
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A boy standing on top of a cliff throws a rock horizontally. The rock hits the ground 2.5 seconds later. How high is the cliff?
Answer:
30 . 7 m
Explanation:
It takes 2.5 seconds for the rock to fall the vertical height
d = 1/2 a t^2
d = 1/2 ( 9.81)(2.5^2) = 30.7 m
Please help, this question is on viscosity!
A steel ball of mass m falls in a viscous liquid with a terminal velocity v. Another steel ball of mass 64 m will fall through the same liquid with a terminal velocity
(1) v
(2) 4 v
(3) 8 v
(4) 16 v
(5) 2 v
please help
help having issues with the problem
Answer:
2 m/s²
Explanation:
You want the acceleration produced by a force on 14 kg if that same force produces an acceleration of 7 m/s² when acting on a mass of 4 kg.
Inverse proportionFor the same force, the acceleration is inversely proportional to the mass. In this problem, the mass increases from 4 kg to 14 kg, a factor of 14/4 = 7/2.
The acceleration will change by a factor that is the inverse of this: 2/7.
acceleration of 14 kg = (7 m/s²) × (2/7) = 2 m/s²
Think about a demonstration with a can of compressed gas. The can weighed less after some gas was shot out of the can. How does this show that gas is matter?
The gas is a matter as it has mass and occupies space which is evident from the fact that it weighed less.
Anything that occupies space and has mass is matter.
When the gas was shot out of the can, the can weighed less. This simply means that gas has mass.
Since the gas has mass and does occupy space, so, this shows that gas is matter.
Everything around is made up of matter. There are different types of matter like solids, liquids, and gas. These three are the primary forms of matter. Two other forms are also discovered which are Plasma and Bose-Einstein Condensate.
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The name iron (ll) chloride would indicate that the compound contains
The compound would contain;
iron ions with an 11+ chargetwo ions of chlorine. Options A and C.What is an ionic compound?We have to know that an ionic compound has to d with a compound that is composed of ions. The ions are species that do not have the same number of positive and negative charges.
We have to note that ionic compounds must be composed of two ions that have opposite charges. In this case the iron II ion has a positive charge while the chloride ion has a negative charge.
The chloride ions are two and there is only one iron II ion present.
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Missing parts;
The name iron (II) chloride would indicate that the compound contains
a. iron ions with an 11+ charge
b. iron ions with a negative charge
c. two ions of chlorine
d. none of the above
Assuming we have a 1 cm long empty solenoid with a 1 mA current flowing through it, how many loops do we need to have in the solenoid to generate a 1 T magnetic field inside the solenoid? Give your answers as integers rounded up
N =
What if we had an iron core inside the solenoid with relative permeability of 64,000 ? How many loops would we need in this case?
N =
(a) To generate a 1 T magnetic field inside the solenoid, we need 7.96 x 10⁶ turns.
(b) If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be 124 turns.
What is the number of turns of the solenoid?
The number of turns of the solenoid is determined by applying the following equation for magnetic field strength at the center of the solenoid.
B = μnI
where;
μ is the permeability of free space = 4π x 10⁻⁷ T/AI is the current = 1 mA = 0.001 AB is magnetic field strength = 1 Tn is number of turns per lengthn = B/ μI
N/L = B/μI
N = (BL)/μI
where;
L is the length of the solenoidn = (1 x 0.01) / (4π x 10⁻⁷ x 0.001)
n = 7.96 x 10⁶ turns
If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be calculated as;
N = (BL)/(μI x μr)
where;
μr is the relative permeabilityN = (1 x 0.01) / (4π x 10⁻⁷ x 0.001 x 64,000)
N = 124 turns
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In class, one sophisticated and expensive demonstration the class would see is where I lifted one end of the table until my book started to slide, then kept the angle fixed. Suppose the coefficient of kinetic friction was μk = 0.490, and the 1.35 kg book started sliding from rest at an angle of 39.7o. What would the speed of the book at the bottom of the 1.27 m long table?
5.03 m/s
2.85 m/s
2.55 m/s
1.28 m/s
In class, one sophisticated and expensive demonstration the class would see in where I lift the table, so the speed of the book at the bottom of the table is 2.55 m/s. Hence, option C is correct.
What is Kinetic friction?A force that acts across sliding surfaces is referred to it as kinetic friction. A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' kinetic friction will determine how much force is applied.
According to the given data in the question,
mgh - (μmg cosθ)s = 1/2 mv²
v²/2 = (9.8)(1.27)(sin 39.7) - (0.49)(9.8)(1.27)(cos 39.7)
v = 2.55 m/s.
Therefore, the speed of the book will be equal to 2.55 m/s.
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Regarding the likelihood of planets orbiting other stars,
I hate to leave you answer less, but there isn't even a question here to answer.
An object with a mass of 7 kg accelerates 8 m/s2 when an unknown force is applied to it. What is the amount of the force?
The amount of force applied to the 7kg object that caused it to accelerate at 8m/s² is 56 newtons.
What is the force applied to the object?A force is simply a push or a pull of an object resulting from the object's interaction with another object.
From newton's second law;
Force = mass × acceleration
Given the data in the question;
Mass of the object = 7kgAcceleration = 8m/s²Applied force = ?Plug the given values into the formula to determine the applied force.
Force = mass × acceleration
Force = 7kg × 8m/s²
Force = 56kgm/s²
Force = 56 N
Therefore, the applied force is 56 newtons.
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A ball at the end of a string of length 2m rotates at a constant speed in a horizontal circle. It makes 7 rev/s.
What is the period of the ball’s motion? Answer in units of s.
The period of the ball's motion is 0.142 s and the frequency of the motion is 7 Hz.
What is the period of the ball's motion?The period of the ball's motion is calculated by applying the following kinematic equation as shown below.
v = 2πr/T
ωr = 2πr/T
ω = 2π/T
T = 2π/ω
where;
T is the period of the ball's motionω is the angular speed of the ballThe angular speed of the ball = 7 rev/s = 7 rev/s x 2π rad/rev = 14π rad/s
T = 2π/14π
T = 1/7 s = 0.142 s
The frequency of the ball's motion is the inverse of the period of the motion and can be calculated as follows;
f = 1/T
f = (1) / (1/7) = 7 Hz
Thus, the period of the ball's motion is determined from the angular speed of the ball while the frequency of the ball's motion is the reciprocal of the period of the motion.
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A person with a weight of 190 N sits on a box with a weight of 20 N, what is the normal force on the box?
The normal force on the box is 210 N.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Normal force on the box = total Weight of box and person = 210 N.
The normal force on the box is 210 N.
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If the mass of an object is 2 kg, the gravitational field strength is 4 ms and the
change in height is 2 m, what is the change in gravitational potential energy stored?
The change in gravitational potential energy stored in 16 Jule.
What is gravitational potential energy?
In classical mechanics, of the gravtitational potential at in a location is equal to the work per unit mass that's would be needed to Move an object to that locations from a fixed references location. It is analogous to the electric potential with the mass playing the role of charge.
Sol-As per the given question ∆PE = mgh
M= skg
g= 4m/s^2
∆h = 2m
∆PE = 2m×4m×2m
= 16 Joules.
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I need this answer, urgently
Friction is a force that resists motion between surfaces that are touching each other
Answer:
Yes.
Friction is the force which resists the motion of an Object. Measured in Newtons.
formula = F=ma, where f is the force, m is the mass and a is the acceleration
True or false: Rocks have different properties such as hardness and texture
True. Rocks have different properties.
What are Rocks?Rocks are naturally formed, consolidated material composed of grains of one or more minerals. Rocks are grouped into three categories depending on their origin:
igneous (formed from solidification of molten material)sedimentary (formed by the accumulation of fragmental material derived from preexisting rocks of any origin as well as the accumulation of organic material or precipitated material)metamorphic (occur as a result of high pressure, high temperature and the chemical activity of fluids changing the texture and (or) mineralogy of preexisting rocks).Physical properties of RocksThere are many physical properties of rocks, they may include; color, crystal form (or shape), hardness, luster (or shine), density, texture and fracture (how the rock disintegrates)
In conclusion, all rocks have different physical properties; texture and hardness are few of the possible properties.
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If the friction force between layers in fluid is dependent on gradient of velocity, area of layer and viscosity coefficient of fluid by using the theory of the dimensions estimate the relation.
The characteristics of the surfaces in contact determine the coefficient of static frictional force. It doesn't depend on how big the surfaces are. Depending on the fluid gradient in velocity between fluid layers.
What viscosity means?It speaks of the friction force of a fluid in motion. A fluid with high viscosity resists motion due of high internal stress created by its molecular structure. In cold conditions, low-viscosity oils help the motor begin more quickly by reducing friction between engine components. Elevated oils, on the other hand, retain the strength and thickness of the film.
How come viscosity is measured?Measurements of viscosity are utilized in the grocery business to increase productivity and cost effectiveness. It has an effect on how quickly a substance moves through a pipe, what it takes to set or dry, and also how quickly the fluid is dispensed into packaging.
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If your actual mechanical advantage is 70 J, and the theoretical is 100 J, what is your percent efficiency?
A 487 kg bear grasping a vertical tree slides
down at constant velocity.
The acceleration of gravity is 10 m/s².
What is the friction force that acts on the
bear?
Answer in units of N.
Answer:
4870 N
Explanation:
Since he is not accelerating
the force is equal to his weight mg = 487 * 10 = 4870 N
The force acting on a particle varies as in the figure below. (The x axis is marked in increments of 10.0 m.)
Find the work done by the force as the particle moves across the following distances.
(a) from x = 0 m to x = 80.0 m
(b) from x = 80.0 m to x = 120.0 m
(c) from x = 0 m to x = 120.0 m
The amount of work that the force does as the particle crosses the 21.0 J. Work done refers to the amount of energy used by a force that move an object.
What exactly does science work on?A force's output is defined as the product of the force's component acting in the displacement's direction and its magnitude. Formula. The following formula can be used to determine work: multiply force by distance traveled inside the direction of force. W = F × d.
What type of work is done?A force is said to have completed its work when it exerts itself on an object and the object really moves in the direction of the applied force. A product of the force as well as the object's displacement in the force's direction is the work that the force produces.
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Answer:
Explanation:
The work is numerically equal to the area of the figure lying under the graph of the function.
(a)
A₁ = (1/2)·80·6 = 240 J
(b)
A₂ = (1/2)·40·3 = 60 J
(c)
A = A₁ + A₂ = 240 + 60 = 300 J
What do astronomers refer to as the retrograde motion of the planets? A. apparent movement of the planets eastward in a single night B. apparent movement of the planets westward in a single night C. apparent movement of the planets eastward from night to night D. apparent movement of the planets westward from night to night
Astronomers refer to as retrograde motion of the planets to an apparent movement of the planets westward from night to night.
What is a retrograde motion?The retrograde movement or the retrogradation of the planets is the apparent movement that a planet makes in the opposite direction to the other bodies that make up the system where it is.
This movement is actually an optical illusion that occurs due to the difference in speed between the different planets, looking as if one of them were moving backwards from east to west.
Therefore, we can confirm that the correct answer is option D. apparent movement of the planets westward from night to night.
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The decibel rules of thumb can be combined. (a) If a sound has intensity xdB, how many dB does a sound 100 times more intense have? (b) If another sound has intensity ydB, how many dB does a sound 4 times less intense have? (c) Combine what you know about (a) and (b): If a sound has intensity zdB, how many dB does a sound 25 times more intense have?
A cart is sliding across a horizontal floor. It has a mass of 25 kg and a force of 250 N. Using Newton's second law, a = F ÷ m, what is the acceleration of the cart?
0.1 m/s2
5 m/s2
10 m/s2
25 m/s2
Answer:
10m/s2
Explanation:
250/25=10
Patrick walks 6 meters to the south, 3 meters west, 2 meters to the north, and 5 meters to the east. Which of the following is true?
A. His displacement was 4 meters.
B. His distance traveled was 6 meters.
C. His distance traveled was 16 meters.
D.His displacement was 17 meters.
An electric motor is used to hoist building supplies from the ground to the roof of a building. How high can it lift a 131 kg bundle of shingles in that time?
The electric motor will lift the 131 kg bundle of shingles at a height of 14 m.
What is gravitational potential energy?Gravitational potential energy is the energy exhibited by an object because of a change in its position in the presence gravitational field.
The gravitational potential energy of an object at height h from the surface of the earth is given by:
[tex]U = mgh,[/tex] where m is the mass of the object.
Given, the power of the electric motor, P = 1.5 KW, and time, t - 12 s
Power = Work/ time
Work = Power × time
Work = 1500 ×12 = 18000 J
Given, the mass of the object, m= 131 Kg
The gravitational potential energy, U = 18000J
The height of the bundle of shingles can be determined as:
18000 = 131 ×9.8 ×H
H = 14 m
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Your question was incomplete most probably complete question was,
An electric motor is used to hoist building supplies from the ground to the roof of a building. How much work can the motor do in 12 seconds if its power output is 1.5 kW. How high can it lift a 131 kg bundle of shingles in that time?
How much energy must a stove transfer to completely heat 1g of liquid water from 1o C to 25o C?
The energy needed by a stove to transfer heat completely to 1 g of liquid water fro 1 °C to 25 °C is 100.37 J.
What is energy?Energy is the ability or the capacity to do work.
To calculate the amount of energy, we use the formula below.
Formula:
Q = cm(t₂-t₁).............. Equation 1Where:
Q = Amount of energyc = Specific heat capacity of the waterm = mass of the watert₂ = Final temperaturet₁ = Initial temperatureFrom the question,
Given:
m = 1 g = 0.001 kgc = 4182 J/kg°Ct₁ = 1 °Ct₂ = 25 °CSubstitute these values into equation 1
Q = 0.001(4182)(25-1)Q = 100.37 JHence, The energy required is 100.37 J.
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Taking into account the definition of calorimetry, the energy that a stove must transfer to completely heat 1 g of liquid water from 1 °C to 25 °C is 100.416 J.
Definition of calorimetryCalorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
When heat added or removed from a substance causes a temperature change in it without affecting its molecular structure, it is called sensible heat.
So, the expression that allows to calculate heat exchanges is:
Q = c× m× ΔT
where:
Q is the heat exchanged by a body of mass m.c is the specific heat substance.ΔT is the temperature variation.Energy in this caseIn this case, you know:
Q= ?c= 4.184 J/gCm= 1 gΔT= Tfinal - Tinitial= 25 C - 1 C= 24 CReplacing in the definition of calorimetry:
Q = 4.184 J/gC× 1 g× 24 C
Solving:
Q= 100.416 J
Finally, the energy needed is 100.416 J.
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