A 3.00-kilogram mass is thrown vertically upward with an initial speed of 9.80 meters per second. [Neglect friction.]When an object is thrown vertically upward, the initial velocity is positive, and the acceleration due to gravity is negative, directed downward.
We can use the following formula to calculate the maximum height, also known as the maximum displacement, reached by the object:
\(v_f^2 = v_i^2 + 2ad\)
where v_f is the final velocity, \(v_i\) is the initial velocity, a is the acceleration, and d is the displacement. At the maximum height, the final velocity is zero, so we can simplify the equation to:
\(d = (v_f^2 - v_i^2) / (2a)\)
Substituting the given values:
\(d = (0 - 9.80^2) / (2 x -9.81)d = 4.90 m\)
Therefore, the maximum height reached by the object is 4.90 m.
Hence, the correct option is (2) 4.90 m.Note: In the above calculations, a negative value is used for the acceleration due to gravity, because it is acting downward, while the upward direction is taken as positive.
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What would life at the surface be like if there were no core?
what is ex(p), the value of the x-component of the electric field produced by by the line of charge at point p which is located at (x,y)
The component of the electric field is determined by calculating the electric field generated by the charged line and then considering only the x-directional influence of that field at point p.
The x-component of the electric field, denoted as \(e_{x}\)(p), is the horizontal component of the electric field produced by a line of charge at a specific point, p, located at coordinates (x, y).
To find \(e_{x}\)(p), we first determine the total electric field produced by the line of charge using Gauss's Law or Coulomb's Law, taking into account the charge distribution, line length, and distance from the line to point p. Next, we analyze the geometry of the situation, specifically the angle between the electric field vector and the x-axis, which is related to the coordinates (x, y) of point p.
By applying trigonometric principles, we can isolate the x-component of the electric field. Generally, the x-component is given by \(e_{x} = E \cos{\theta}\), where E is the total electric field, and θ is the angle between the electric field vector and the x-axis.
In conclusion, \(e_{x}\)(p) is the x-component of the electric field produced by a line of charge at point p with coordinates (x, y). It is found by calculating the total electric field generated by the line and isolating the x-directional influence using trigonometry.
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A circular coil with 210 turns has a radius of 2.6 cm. (a) What current through the coil results in a magnetic dipole moment of 3.0 Am2? (b) What is the maximum torque that the coil will experience in a uniform field of strength 5.0x10 T?
(a) The magnetic dipole moment of a circular coil is given by the equation:
μ = NIA
where μ is the magnetic dipole moment, N is the number of turns, I is the current, and A is the area of the coil.
Substituting the given values, we get:
3.0 Am² = 210 × I × π(0.026 m)²
Solving for I, we get:
I = 4.76 A
Therefore, a current of 4.76 A through the coil results in a magnetic dipole moment of 3.0 Am².
(b) The torque experienced by a magnetic dipole in a uniform magnetic field is given by the equation:
τ = μBsinθ
where τ is the torque, μ is the magnetic dipole moment, B is the magnetic field strength, and θ is the angle between μ and B.
In this case, the maximum torque occurs when θ = 90°, which means sinθ = 1. Substituting the given values, we get:
τ = (3.0 Am²)(5.0 × 10⁻⁵ T)(1)
τ = 1.5 × 10⁻⁴ Nm
Therefore, the maximum torque that the coil will experience in a uniform field of strength 5.0 × 10⁻⁵ T is 1.5 × 10⁻⁴ Nm.
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if the distance moved by the effort is greater than the distance moved by the load, the machine is speed multiplier. TRUE/FALSE
Answer: TRUE
Explanation: I did it before
Two ways to report the amount of elements is to give the percentage by number and percentage by mass. When reporting the composition of the sun by mass percentage, the amount of hydrogen drops, but the amount of helium grows. Why?
The composition of the sun by mass of hydrogen drops, but the amount of helium grows because helium is heavier than hydrogen.
What is the percentage by mass of an element in a substance?The percentage by mass of an element in a compound is the percentage the mass of that element contributes to the total mass of the substance.
The percentage by mass of an element depends on the mass of the element.
Heavier elements in equal amounts with less dense elements have a greater percentage mass.
Since the mass of the helium atom is greater than the mass of the hydrogen atom, the Sun's composition by mass of hydrogen drops while that of helium increases.
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if a gas produced, most likely a ______ reaction took place
Answer:
if a gas produced, most likely a chemical reaction took place
Explanation:
Answer:
if a gas produced, most likely a Chemical reaction took place
Explanation:
hope this helps and have a good day <3
An ideal fluid flows at 12 m/s in a horizontal pipe. If the pipe widens to twice its original radius, what is the flow speed in the wider section?.
The flow speed of the ideal fluid in the wider section is 6 m/s.
What is the flow speed of the ideal fluid in the wider section?
The flow speed of the ideal fluid in the wider section is calculated by applying continuity equation as shown below.
A₁V₁ = A₂V₂
Where;
A₁ is the area of the pipe in the narrow sectionV₁ is the speed of the fluid in the narrow sectionA₂ is the area of the pipe in the wider sectionV₂ is the speed of the fluid in the wider sectionπr₁²V₁² = πr₂²V₂²
r₁²V₁² = r₂²V₂²
V₂² = r₁²V₁² / r₂²
Where;
V₂ is the fluid speed at the wider sectionV₁ is the fluid speed at the narrow sectionr₁ is the radius at the narrow sectionr₂ is the radius at the wider sectionV₂² = r₁²V₁² / r₂²
V₂² = ( r₁²V₁²) / (2r₁)²
V₂² = ( r₁²V₁²)/(4r₁²)
V₂² = (V₁²)/(4)
V₂² = (12²)/4
V₂² = 36
V₂ = √36
V₂ = 6 m/s
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A man is pulling on his dog with a force of 34.7 N directed at an angle of 24.4° to the horizontal. Find the x component of this force.
Answer:
\(31.7\:\mathrm{N}\)
Explanation:
We can use basic trig in a right triangle to solve this problem. Let the x component of the force be \(x\). We have the following equation:
\(\cos 24^{\circ}=\frac{x}{34.7},\\x=34.7\cos 24^{\circ}\approx \boxed{31.7}\)
How is a force multiplied in a hydraulic
system?
Answer:
Pascal's law states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container. ... Applied to a more complex system below, such as a hydraulic car lift, Pascal's law allows forces to be multiplied.
Explanation:
A car is being lifted by a crane so that it moves upwards at a constant speed. A50%Part (a) Which force is doing negative work on the car as it is being lifted? The force of gravity on the car due to the Earth. The force of the car acting on the rope. There is no work being done because the kinetic energy of the car is constant. The force of the rope acting on the car. (7\%) Problem 1: A car is being lifted by a crane so that it moves upwards at a constant speed. a.50%Part (a) Which force is doing negative work on the car as it is being lifted? A 50%Part (b) Which force is doing posirive work on the car as it is being lifted? The force of the rope acting on the car. The force of the car acting on the rope. There is no work being done because the kinetic energy of the car is constant. The force of the Earth acting on the car.
(a) Force is doing negative work on the car as it is being lifted is The force of gravity on the car due to the Earth.
(b) The force is doing positive work on the car as it is being lifted is the force of the car acting on the rope.
(a) Due to the gravity of the earth on the car, negative work is done on the car when lifting it, as gravity is in the opposite direction of the car moving. Negative work is done when force and displacement are in opposite directions. In this case, gravity acts downward as the car moves upward. The force of the rope acting on the car does positive work because it is in the same direction as the car is moving.
(b) The work done is defined as the product of the force and the displacement in the direction of the force.
W = F x d x Cos θ
where θ is the angle between force and displacement.
Gravity is acting downward, moving upward, so the included angle is 180. cos 180 = -1 , so the work done by gravity is negative.
The upward force and upward movement of the rope.
Thus, the work performed is active.
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A common brick is about 1.8 times denser than water. what is the apparent weight of a 0.20 m3 block of bricks under water?
Answer:
Pressure of .2 m^3 of bricks:
Pb = ρ g H = 1.8 ρw * 9.80 m/s^2 * .20 m = 1800 * 9.8 * .2 = 3530 Pascals
ρb = 1.8 ρw = 1.8 since the density of bricks is 1.8 that of water
Pw = 1 * 9.8 * 1000 * .2 = 1960 Pascals
W = P * A pressure * Area = Force
Pnet = 1570 Pascals - pressure due to bricks under water
F = 1570 N/m^2 * .2m^2 = 63 N force on pile of bricks
Explain how if a solid, liquid, and gas are put into individual containers how they fill the container.
Answer:
serial in which container is filled
Solid -base of container
Liquid- above solid
Gas- above liquid
Explanation:
If any mixture of matter in different state (that solid , liquid or gas )are kept in any container, then substance with higher density will be settled at lowest surface first and similarly the substance with lowest density will be at upper part of container.
In the given container we have to keep solid, liquid and gas
sold has the highest density,gas the lowest density andliquid has the density higher than gas but less than solid.based on this
solid will be at surface of container
above sold will be liquid
above liquid will be presence of Gas
serial in which container is filled
Solid -base of container
Liquid- above solid
Gas- above liquid
Calculate the speed of a car that traveled 200 kilometers in 3 hours.
66.67 k/h
.015 k/h
600 k/h
There is not enough information to solve this problem.
Answer:
right option is :- A
Explanation:
What happens when electromagnetic waves cause a disturbance in electric and magnetic fields?
A. Any particles in the fields move with them.
B. They cancel vibrations in electric and magnetic fields.
C. The electromagnetic waves transfer energy.
D. The fields line up parallel to each other.
Answer:
The answer is C. The electromagnetic waves transfer energy.
The electromagnetic waves cause a disturbance in the electric and magnetic field as the electromagnetic waves transfer energy. Thus, the correct option is C.
What are electromagnetic waves?The electromagnetic radiation (EMR) consists of waves of the electromagnetic (EM) field. These waves propagate through space and carry momentum and electromagnetic radiant energy as well. It includes radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. All of these waves form together different parts of the electromagnetic spectrum.
Electromagnetic waves or the EM waves are waves which are created as a result of vibrations between an electric field and a magnetic field. Electromagnetic waves are composed of oscillating magnetic and electric field lines and transmit energy.
Therefore, the correct option is C.
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If an object has a weight of 4050 N near the surface of the Earth, what is its mass?
Answer:
417.5 kg
Explanation:
Since the gravitational for of attraction F, equals the weight of the object W when its close to the earth, F = GMm/R² = W = mg where m = mass of object and g = acceleration due to gravity close to the earth = 9.8 m/s².
g = GM/R² where g = acceleration due to gravity close to the earth, G = universal gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg², M = mass of earth = 5.927 × 10²⁴ kg and R = radius of earth = 6.4 × 10⁶ m
So, g = GM/R²
= 6.67 × 10⁻¹¹ Nm²/kg² × 5.927 × 10²⁴ kg/(6.4 × 10⁶ m)²
= 39.53 × 10¹³ Nm²/kg ÷ 40.96 × 10¹² m²
= 9.65 N/kg
≅ 9.7 N/kg
= 9.7 m/s²
Since W = 4050 N and W = mg
m = W/g = 4050 N/9.7 m/s²
= 417.53 kg
≅ 417.5 kg
So, the mass of the object is 417.5 kg
The measurement of an object's mass is a
For most everyday objects, scientists use a balance to obtain an object's mass. A balance compares an object with a known mass to the object in question. One example of a balance is the triple beam balance.
In order to maximize the resolution in the visible range of a circular aperture such as a telescope, it is best to
A. apply a violet filter and use the telescope with the largest aperture possible
B. apply a red filter and use the telescope with the smallest aperture possible
C. apply a violet filter and use the telescope with the smallest aperture possible
D. apply a red filter and use the telescope with the largest aperture possible
A red filter with a large aperture telescope offers the best solution for maximizing resolution.
How does the choice of a red filter affect the resolution in a telescope?To maximize resolution in the visible range of a circular aperture, it is best to choose option D: apply a red filter and use the telescope with the largest aperture possible.
Resolution is determined by the size of the aperture, with larger apertures allowing more light to enter and providing higher resolution.
The red filter is chosen because longer wavelengths of light (such as red) are less affected by atmospheric turbulence, resulting in better image quality.
This combination enables the telescope to capture more light and reduce the blurring effects caused by atmospheric conditions, leading to enhanced resolution in the visible range.
A red filter with a large aperture telescope offers the best solution for maximizing resolution.
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Question 6, “Some students observe drops of water falling from a tap that leaks, as shown in the diagram.
The students measure the time for 50 drops to fall from the tap. The time for 50 drops to fall is 20 seconds.
Calculate the average time between two drops falling.”
The average time between two drops falling t = 2/5 sec.
Equation :To calculate average time use formula,
t + t / product
So,
given,
time = 20 s
drops = 50
average time = ?
From this,
measured time for 50 drops = 20sec
Time required for 1 drop = 20/ 50
Average time between two drops = (2/5 + 2/5) / 2
Hence,
The average time between two drops t = 2 / 5
What is average time?Average Time on Page is a web analytics metric that gauges how long, on average, all website visitors stay on a single page. Only the average amount of time that users spend on non-exit pages is measured by this metric, which ignores exit pages and bounces.
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Mary Jo went on riding her horse through the trails. Her pace was 8 km/hr. She left at 8:30 am and got back to the barn at 9:00 am. How far did she go?
Question 4 options:
16 m/s
4 m/s
4 km
16 km
Answer:
4km
Explanation:
Distance=speed x time
Knowing this we know the time and speed
so it is 8 x .5= D
And 8 x .5 =4
If you have any questions let me know
Una mujer recorre una trayectoria rectilínea en su camioneta primera una velocidad constante de 50 km/h luego a 70 km/h y después de 60 km/h durante su trayecto a su trabajo ¿cuál será la velocidad promedio?
Answer:6/1 %50 x11
Explanation:
25-45
b) Explain the method of preparing electromagnet. How do you test the
poles of an electromagnet with the help of magnetic compass ?
Answer:
An electromagnet is made by forming a coil around a soft iron bar (known here as the metal) such as a nail or screw and connect with an insulated copper wire (known here as the electric current conductor) the ends of the wound copper is then connected separately to the positive and negative terminals of a battery (known here as the source of electric current)
The north seeking needle of the magnetic compass will move away when brought close to the north pole of the formed electromagnet which can then be labelled N
The magnetic compass needle will be attracted to the south pole of the electromagnet which can then be labelled S
Explanation:
An electromagnet is an electric powered magnet that is formed (temporarily) by the perpendicular movement of electric current with respect to a metal core
The magnitude and the poles of an electromagnet can be changed by changing the magnitude and the direction of flow of the electric current respectively.
People often think that Galileo dropped two objects of dramatically different mass off of the Leaning Tower of Pisa that both hit the ground at the same time. Explain why in reality this was most likely not true.
Answer: because of air resistance. See explanation for further details.
Explanation: Galileo performed an experiment to proof that the time of descent of two different masses is independent of time.
But in reality this is most likely not true because of air resistance and other fluid frictional effects in consideration.
If the experiment is performed in a vacuum, it will always be true that time is independent of masses of two falling objects.
HELP ME PLS i need this rn i love u guys <<3 if u dont know dont answer
Answer:
1.78m/s
Explanation:
Given parameters:
Velocity of the arrow = 22.8m/s
Height of the wall = 15.5m
Unknown:
Time taken for the arrow to reach the ground = ?
Solution:
To solve this problem we employ the appropriate motion equation:
H = ut + \(\frac{1}{2}\) g t²
H is the height
u is the initial velocity = 0
g is the acceleration due to gravity = 9.8m/s²
t is the unknown time
15.5 = \(\frac{1}{2}\) x 9.8 x t²
15.5 = 4.9t²
t² = 3.16
t = 1.78m/s
The student investigates how the resistance of a thermistor varies with temperature. The student has a power supply, a thermistor, an ammeter, a voltmeter and some connecting leads. Describe an investigation the student could carry out to measure the resistance of a thermistor between –10 °C and 70 °C.
Your answer should include:
1. Any other apparatus the student will need
2. The measurements to be taken
3. How the data should be processed.
(This question is worth 6 marks on my assignment so I just really want to get down the best possible answer for it.)
The characteristics of the thermistors allow to design an experiment to analyze the dependence of resistance with temperature;
1) We set up the circuit
2) We look for the current of the circuit and we keep it fixed.
3) We look for the thermistor resistances for each temperature.
4) Plot Resistance versus Temperature.
A Thermitor is an element whose resistance changes with temperature, for example a platinum resistance.
An experiment that we can carry out to measure is to set up the attached circuit where we have:
A DC power supply. A resistor to control the maximum current in the circuit and avoid thermal problems in the thermistor. A thermistor. A thermometer placed next to the thermistor. A source of heat under the thermistor under a glass with ice and water, but without affecting the other elements of the circuit.
Let's start by looking for the current in the circuit.
In thermistors, the resistance for room temperature is given, so if we measure the voltage across the fixed resistor, we can shrink the voltage across the thermistor.
\(V_{source} = V_R + V_{therm} \\V_{therm} = V_{source} - V_R \\ i = \frac{V_{therm} }{R_{therm}}\)
This current remains fixed, since the fixed resistance is greater than the resistance of the thermistor throughout the range.
Second step.
Now we can change the temperature that is measured in the thermometer, for each temperature the voltage in the fixed resistance is measured, the resistance in the thermistor is calculated.
\(R_{therm} = \frac{V_{source} - V_R}{i}\)
Third step.
We end with a graph of resistance versus temperature of the curve obtained, it is possible to understand the behavior of the resistance of the thermistor with temperature.
In conclusion with the characteristics of thermistors we can design an experiment to analyze the dependence of resistance with temperature:
1) We set up the circuit
2) We look for the current of the circuit and we keep it fixed.
3) We look for the thermistor resistances for each temperature.
4) Plot Resistance versus Temperature.
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Is alpha an particle?
Look up how much power a typical light bulb uses/produces. Then look up how much power a typical microwave uses/produces. How do these appliances compare to your physical activities?
The current drawn by a microwave is greater than the amount of current used by an electric bulb, hence the microwave consumes more power.
Energy dissipated by electrical applianceThe amount of energy dissipated by an electrical appliance is the calculated using the following formulas;
P = I²R
where;
P is powerI is currentR is resistanceThe current drawn by a microwave is greater than the amount of current used by an electric bulb, hence the microwave consumes more power.
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the terms interrupting rating and ____ are used interchangeably in the electrical industry, but there is a subtle difference.
The term "short circuit current rating" is often used interchangeably with interrupting rating in the electrical industry, but there is a subtle difference.
Interrupting rating refers to the maximum current level that a circuit breaker or other protective device can safely interrupt without damage, whereas short circuit current rating refers to the maximum level of fault current that a device or system can withstand without damage.
In other words, interrupting rating is a measure of a device's ability to stop a fault, while short circuit current rating is a measure of its ability to withstand the fault.
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why does making the slit smaller make the spot larger
When the slit is made smaller, the spot becomes larger because of the phenomenon known as diffraction.
Diffraction is the bending of light waves around small obstacles and the spreading out of light waves past small openings. When the slit is made smaller, the amount of diffraction increases, causing the spot to become larger. This is because the smaller the slit, the more the light waves spread out as they pass through it, creating a larger spot on the other side. This is an example of the wave nature of light and is described by the Huygens-Fresnel principle.
In mathematical terms, the size of the spot is inversely proportional to the size of the slit. This means that as the slit size decreases, the spot size increases, and vice versa.
In conclusion, making the slit smaller causes the spot to become larger due to the phenomenon of diffraction, which causes light waves to spread out more as they pass through the smaller slit.
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Describe a situation in which the average velocity and the instantaneous velocity vectors are identical. Use complete sentences.
When acceleration is equal to zero average velocity and the instantaneous velocity vectors are identical.
Types of velocityVelocity is defined as the rate of displacement of an object with respect to time. It is measured in meter/ seconds and is a vector quantity.
Acceleration is defined as the rate at which velocity changes with time.
There are two types of velocity which includes:
Average velocity: This is the average rate of change of position of particles with respect to time over an interval.Instantaneous velocity: This is defined as the specific rate of change of position with respect to time at a particular point.The situation that will make the average velocity and the instantaneous velocity vectors to be equal or identical is when acceleration is equal to zero.
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What is an example of the strong nuclear force
100 times stronger than electromagnetic force. And 10,000 times stronger than the weak force. With radioactive decay, it's a hundred millionss times stronger than gravity.