Describe the energy changes as a pendulum swings if the pendulum has a mass of 50g and is lifted so that has a GPE of 0. 1j calculate a,its increase in height
b,the velocity of the bob as it pass through the bottom of the swing (assume no energy losses
Answers
The increase in height of the pendulum is: approximately 2.04 cm, and the velocity of the bob as it passes through the bottom of the swing is approximately 0.894 m/s.
a) To calculate the increase in height, we can use the formula for GPE: GPE = mgh, where m is the mass (50g or 0.05kg), g is the gravitational acceleration (approximately 9.81 m/s^2), and h is the height.
Given that the GPE is 0.1 J, we can rearrange the formula to solve for h:
h = GPE / (mg).
Plugging in the values, we get h = 0.1 / (0.05 * 9.81) ≈ 0.0204 m or 2.04 cm.
b) As the pendulum swings, its GPE is converted to KE at the bottom of the swing. We can use the conservation of energy principle, which states that the total energy (GPE + KE) remains constant. Since the GPE at the top of the swing equals the KE at the bottom,
we can use the formula for KE to find the velocity of the bob:
KE = 0.5 * m * v^2, where m is the mass (0.05kg) and v is the velocity.
We know that the GPE is 0.1 J, so we can set this equal to the KE and solve for v: 0.1 = 0.5 * 0.05 * v^2. Rearranging and solving for v, we get v ≈ 0.894 m/s.
In summary, the increase in height of the pendulum is approximately 2.04 cm, and the velocity of the bob as it passes through the bottom of the swing is approximately 0.894 m/s.
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complete question:
Describe the energy changes as a pendulum swings if the pendulum has a mass of 50g and is lifted so that has a GPE of 0. 1 calculate
a. its increase in height
b. the velocity of the bob as it pass through the bottom of the swing
Related Questions
What causes a gravitational field around an object?
density
mass
shape
volume
Answers
Answer: It is mass
Explanation: It is caused by a bending of space-time.
Answer:
B - Mass
Explanation:
Edg
true or false, the three stages of collision include the vehicle crash, the human crash and the external crash
Answers
The given statement "True or false, the three stages of collision include the vehicle crash, the human crash, and the external crash" is False.
The stages of collision include three steps namely: the vehicle collision, the human collision, and the internal collision. The stages of collision are as follows:Vehicle collision: In this stage, the vehicles collide and crush each other which results in the sudden deformation of the vehicle.Human collision:
In this stage, the occupants of the vehicle crash and experience injury due to the collision.Internal collision: In this stage, internal organs are affected due to the sudden change in speed and the occupants may experience life-threatening injuries due to the collision.Therefore, it is concluded that the given statement is False and the main answer is: False.
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describe the single touch method of making magnet. Also describe the process of making electromagnet.
Answers
Answer:
The single touch method of making a magnet is a simple way to magnetize a ferromagnetic material, such as a piece of iron. The process involves taking a magnet and bringing it into contact with the material to be magnetized, while moving it along the length of the material in a single direction. This process aligns the magnetic domains within the material, causing it to become magnetized. The strength of the resulting magnet depends on the strength of the magnet used and the length of time it is in contact with the material.
The process of making an electromagnet involves using an electric current to create a magnetic field. To make an electromagnet, a wire is wound into a coil around a magnetic core, such as an iron rod. When an electric current flows through the wire, it creates a magnetic field around the coil, which in turn magnetizes the magnetic core. The strength of the resulting magnet depends on the strength of the current flowing through the wire, the number of coils in the wire, and the type of magnetic core used. Electromagnets are commonly used in a variety of applications, including electric motors, speakers, and MRI machines.
Explanation:
6. What is the
displacement of a horse that runs at a velocity
of 3.2 m/s [S] for 12 s? T/I h
Answers
The displacement of the horse is 38.4 m/s.
Given :
velocity of the horse = 3.2 m/s
The time that the horse
displacement of the horse =?
According to the formula,
velocity = displacement/time
we can get the value of displacement.
That is, displacement = velocity×time
Substituting the values of velocity and time, we get
displacement = 3.2 × 12 m
That is, displacement = 38.4 m
Hence, the displacement of the horse is 38.4 m/s.
It measures the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement. The final location of a point relative to its beginning position xi, or a relative position (derived from the motion), is another way to express a displacement. The difference between the end and beginning positions can be used to define the equivalent displacement vector:
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how does density play a part in determining how unlike air masses react
Answers
Identification of compounds can benefit from density. It is also a useful feature since it connects (or acts as a conversion factor between) a substance's mass and volume. Volume and mass are extended (or extrinsic) qualities of matter that are quantity dependent.
What is the density playing a part in air masses detection?The force of an air mass acting on the earth's surface is known as atmospheric pressure. Remember that wind currents are created when the densities of two separate air masses differ.
Our wind currents are driven by the atmospheric pressure density, and denser air exerts a higher pressure than less dense air. Compared to the cold and dry air, the warm and humid air is less dense. The less dense air will then float on top of the thicker air in certain regions.
Therefore, Warm air masses rise while cold air masses descend because they are less dense.
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A magnifier allows one to look at a very near object by forming an image of it farther away. The object appears larger. To create a magnifier, one would use a.
Answers
In order to create a magnifier in convex lens, you should choose a short focal length that is lesser than 1 meter.
What is a convex lens?A convex lens is also referred to as converging lens and it can be defined as a type of lens that typically causes parallel rays of light with respect to its principal axis to come to a focus (converge) and form a real image.
In Science, a magnifier refer to an optical instrument that allow us to look at a very near object because its image is generally formed farther away. Thus, the image of the object appears to be much larger.
In this context, you should choose a short focal length that is lesser than 1 meter when you want to create a magnifier in convex lens because the nearer the object is to the lens, the larger would be the image formed.
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1000 cm + 114 m + 12 km + 160 mm = mm
Answers
Answer:
12 124 160 millimeters
Explanation:
1000 cm + 114 m + 12 km + 160 mm = "12124160 mm" = "1.212 x 10⁷ mm"
In order to get the sum of all the lengths in millimeters (mm), we need to convert all the values of lengths into millimeters (mm), before adding them.
We shall use the unitary method of conversion here. In this method, the value is multiplied by the fractional unit of conversion from one unit to the other.
\(1000\ cm + 114\ m + 12\ km + 160\ mm = mm\\\\1000\ cm + 114\ m + 12\ km + 160\ mm = 1000\ cm(\frac{10\ mm}{1\ cm}) + 114\ m(\frac{1000\ mm}{1\ m}) + 12\ km(\frac{1000000\ mm}{1\ km}) + 160\ mm\\\\1000\ cm + 114\ m + 12\ km + 160\ mm = 10000\ mm + 114000\ mm + 12000000\ mm + 160\ mm\\\\\)
1000 cm + 114 m + 12 km + 160 mm = 12124160 mm = 1.212 x 10⁷ mm
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The attached picture shows different unit conversion factors.
What is the momentum of a ball that weighs .142 Kg and has velocity of 100 meters per second?
Answers
Answer:
710 newtons
Explanation:
KE=1/2*m*v^2
1/2*.142*100^2
1/2*.142*10000
1/2*1420
710
Unless otherwise stated, all objects are located near the Earth's surface, where g = 9.80 m/s2 .A girl pushes a 20 kg lawn mower as shown in the figurea) If F = 27 N and θ = 36 ∘ what is the acceleration of the mower? Ignore friction. b) What is the normal force exerted on the mower by the lawn?
Answers
Before we begin we need to make the free body diagram of the situation, it is shown below:
Now, from Newton's second law we have that:
\(\begin{gathered} F\cos \theta=ma \\ N-W+F\sin \theta=0 \end{gathered}\)a)
From the first equation we have that:
\(\begin{gathered} a=\frac{F\cos \theta}{m} \\ a=\frac{27\cos 324}{20} \\ a=1.09 \end{gathered}\)Therefore the acceleration of the mower is 1.09 meters per second per second.
b)
From the second equation we have:
\(\begin{gathered} N=W-F\sin \theta \\ N=(20)(9.8)-27\sin 324 \\ N=211.87 \end{gathered}\)Therefore the normal force is 211.87 N
There are 2 rocks sitting on 2 cliffs. One rock is sitting on a cliff that is 25 m high. The
other rock is sitting on a cliff that is 12 m high. Which rock has the greater gravitational
potential energy?
Explain.
Answers
The rock sitting on the cliff that is 25 m high has the gratest gravitational potential energy.
How do I determine the rock that has a greater potential energy?Potential energy is defined as the energy of an object by virtue of it's location. Mathematically, it is written as:
PE = mgh
Where
PE is the potential energym is the mass g is the acceleration due to gravityh is the heightTo determine the rock with the grater potential energy, we shall determine the potential energy of both rock assuming they have the same mass. Details below:
For rock sitting at 25 m high:
Mass (m) = 10 KgHeight (h) = 25 mAcceleration due to gravity (g) = 9.8 m/s² Potential energy (PE) = ?PE = mgh
PE = 10 × 9.8 × 25
PE = 2450 J
For rock sitting at 12 m high:
Mass (m) = 10 KgHeight (h) = 12 mAcceleration due to gravity (g) = 9.8 m/s² Potential energy (PE) = ?PE = mgh
PE = 10 × 9.8 × 12
PE = 1176 J
From the above calculation, we have:
Potential energy of rock at 25 m high = 2450 JPotential energy of rock at 12 m high = 1176 JThus, we can conclude that the rock sitting at 25 m high, has the gratest potential energy.
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look around you, find an appliance, and look for its power rating. what is the power in watts? what current does this appliance "draw" if the voltage applied to it is 120?
Answers
power rating of the appliance is 1000 watts.
Current that the appliance draw is 8.33 amperes.
Explanation:-
if the power rating of an appliance is specified as 1000 watts and the voltage applied is 120 volts, you can calculate the current drawn as follows:
P = VI
1000 = 120 × I
Solving for I:
I = 1000 / 120
I ≈ 8.33 amperes
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A small car of mass M travels along a straight,horizontal track. As suggested in the figure, the track then bendsinto a vertical circle of radius R.
What is the minimum acceleration that the car must have at the topof the track if it is to remain in contact with the track?
A) 4. 9 m/s2,upward
B) 9. 8 m/s2,downward
C) 4. 9 m/s2,downward
D) 9. 8 m/s2,upward
E) 19. 6 m/s2,upward
Answers
According to the given statement the correct answer will be option ( D ) 9.8 m/s², upward.
The minimum acceleration that the car must have at the top of the track in order to remain in contact with the track can be determined by considering the forces acting on the car.
When the car is at the top of the track, it is in circular motion and experiences two forces:
its weight (mg) acting downward and the normal force (N) exerted by the track acting upward.
To remain in contact with the track, the net force acting on the car must be directed towards the center of the circle.
This means that the net force should be the difference between the normal force and the weight, and it should be directed downward.
The net force is given by:
Net force = N - mg
At the top of the track, the net force is equal to the centripetal force required to keep the car moving in a circle of radius R.
The centripetal force is given by:
Centripetal force = mv² / R
where m is the mass of the car and v is its velocity.
Setting the net force equal to the centripetal force, we have:
N - mg = mv² / R
Solving for v², we get:
v² = gR
where g is the acceleration due to gravity.
The minimum acceleration at the top of the track is when v is at its maximum value, which is when v = √(gR).
Therefore, the minimum acceleration that the car must have at the top of the track is:
a = v² / R = (gR) / R = g
The minimum acceleration that the car must have at the top of the track in order to remain in contact with the track is equal to the acceleration due to gravity (g).
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on an icy day your worry about parking your car in a driveway
Answers
true or false
two different notes can have the same fundamental frequency
Answers
Answer:
true:)
Explanation:
What direction is the force of gravity?
up
down
neither up nor down
Answers
Answer:
down I think I'm pretty sure
you walk 5 km east then turned and walked 2km west what would your displacement be
Answers
Answer:
3km? im a beginner
what is the dimensional consistency of s = Vot + 1/2 at2
Answers
Answer:
The formula is dimensionally consistent
Explanation:
Dimensional Analysis
There are three fundamental magnitudes in Physics:
L = Length
T = Time
M = Mass
All the formulas and equations that use physical magnitudes must be consistent in their units.
For example, the formula:
\(\displaystyle s=v_ot+\frac{1}{2}at^2\)
Is used to calculate the distance traveled by an object, knowing its initial speed vo, acceleration a, and time t.
The units for each magnitude are:
s = L
vo = L/T or \(LT^{-1}\)
a = L/T^2 or \(LT^{-2}\)
Let's analyze the dimensions of the magnitudes in the formula (the constant 1/2 is neglected because it doesn't affect the dimensional analysis):
\(\displaystyle L=L/T*T+L/T^2*T^2\)
The first term simplifies to L because the T's simplify. The same happens with the second term, the squared T's simplify:
\(\displaystyle L=L+L\)
Thus the formula is dimensionally consistent
what can be respresented by a force arrow weight or mass
Answers
Answer:
Force arrows are used to represent both the magnitude and direction of forces. The length of the arrow corresponds to the magnitude of the force, with longer arrows indicating forces with larger magnitudes. The direction of the arrow corresponds to the actual direction that the force is being exerted. Force arrows are used by scientists and engineers to predict the motion of an object based on the forces that are applied to it.
Let's go back to Amil and his box for a moment. To represent the force that he is exerting on the box, we can draw the box and then show the force using a force arrow, like this:
Explanation:
How would our force arrow change if he pushed the box with twice as much force? Because the magnitude of the force is doubled, the length of the force arrow should also be doubled.
Now, what if he didn't push directly to the right, but instead his arms made a 30-degree angle with the ground? In that case, the direction of the force arrow needs to change to show the direction in which the force is applied.
I need to know how to solve: finding magnitudes of forces related to a sum of three vectors
Answers
The solution is (v, u) = (- 585.709, 593,034). Please notice that the value of v only means that the direction of the real vector is antiparallel to the supposed one.
What are the magnitudes of two vectors to get the zero vector by vector sum?
According to the definition of vector sum and vectors in rectangular form, we must solve the following vector equation:
(0, 0) = 205 · (cos 23°, - sin 23°) + v · (- cos 75°, sin 75°) + u · (- cos 55°, - sin 55°)
(0, 0) = (188.703, 80.100) + v · (- 0.259, 0.966) + u · (- 0.574, 0.819)
(- 188.703, - 80.100) = v · (- 0.259, 0.966) + u · (- 0.574, 0.819)
Then, we must solve the following system of linear equations:
- 0.259 · v - 0.574 · u = - 188.703
0.966 · v + 0.819 · u = - 80.100
The solution is (v, u) = (- 585.709, 593,034). Please notice that the value of v only means that the direction of the real vector is antiparallel to the supposed one.
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What is promising evidence of a habitat that might support life
on the planet Mars?
Detailed Answer please, will give thumb up rating definitely
Answers
A promising evidence of a habitat that might support life on the planet Mars is water.
There is evidence supporting the existence of liquid water on Mars from numerous sources. The finding of repeated black streaks on Martian slopes and the presence of hydrated minerals suggest the potential of seasonal or location-specific briny water flows. A necessary component of life as known is liquid water.
Additionally, Mars possesses underground ecosystems that could provide defence against radiation and severe surface conditions. Researchers have found evidence of ancient underground hydrothermal systems as well as beneath ice. These settings might offer consistent conditions for the development of microbial life. Methane gas has been found in the Martian atmosphere, along with variations over time, and this has led to questions regarding its origin. Both geological and biological processes can result in the production of methane.
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a 45kg box is being pulled directly to the right from your point of view by a rope. the person is pulling the box via a rope with a force of 25n. while the person is pulling the box, it is displaced 7.5 meters in the direction it is being pulled. calculate the work done by the force of tension on the rope.
Answers
Answer: hope this helps
Explanation:a 45kg box is being pulled directly to the right from your point of view by a rope. the person is pulling the box via a rope with a force of 25n. while the person is pulling the box, it is displaced 7.5 meters in the direction it is being pulled. calculate the work done by the force of tension on the rope.
A soccer player standing on a football field kicks a soccer ball off of the gound at the 10 yard line and it lands at the 30 yard line.
Answers
To determine the horizontal distance covered by the soccer ball, we can subtract the initial position (10 yards) from the final position (30 yards).
Horizontal distance = Final position - Initial positionHorizontal distance = 30 yards - 10 yardsHorizontal distance = 20 yardsTherefore, the soccer ball covers a horizontal distance of 20 yards.
About soccer ballA soccer ball is a ball used in the game of soccer. In general, soccer balls are made of leather. In its development, the ball kicked by these players has undergone very significant changes.
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blank is a wave that remains in a constant position
Answers
A wave that remains in a constant position is referred to as a stationary wave or a standing wave.
It is formed by the superposition of two waves with the same frequency and amplitude traveling in opposite directions. Unlike a traveling wave that moves through space, a standing wave appears to be stationary because the wave peaks and troughs oscillate in place.
The formation of a standing wave occurs when a wave reflects back upon itself, interacting constructively and destructively with the incoming wave. This phenomenon is characterized by the presence of nodes and antinodes. Nodes are points along the wave where the amplitude is always zero, resulting from destructive interference between the two waves. Antinodes, on the other hand, are points of maximum displacement, created by constructive interference..
Standing waves have significant implications in various fields of study. In physics and engineering, they are essential in the analysis of acoustics, optics, and electromagnetic fields. They find applications in musical instruments, where standing waves inside the instrument's resonating body create distinct harmonics and produce specific musical tones.
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Before raw data can be used as scientific evidence, it must be analyzed and summarized. one way of summarizing data is to find the mean, or average, of a set of data points. what method is used for calculating the mean? adding the values of all the data points and dividing by the number of data points dividing the value of each data point by the total value of all the data points multiplying the values of the highest and lowest data point, and then dividing by two subtracting the highest value among the data points from the lowest value
Answers
Adding the values of all the data points and dividing by the number of data points dividing the value of each data point by the total value of all the data points multiplying the values of the highest and lowest data point, and then dividing by two subtracting the highest value among the data points from the lowest value.
A scientific model is a bodily and/or mathematical and/or conceptual representation of a system of ideas, occasions, or procedures. Scientists are seeking to perceive and recognize patterns in our world by drawing on their scientific understanding to offer motives that enable the styles to be anticipated.
Benefits of modeling and simulation :
* Can be more secure and less expensive than the real international.
* Able to test a product or device that works earlier than building it.
* Can use it to discover unexpected troubles.
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the downward velocity at a point 2 meters orthogonally from a line vortex is 2 . the circulation is
Answers
The circulation of the line vortex is 4 m/s.
In a line vortex, the circulation is defined as the product of the velocity of the fluid and the distance from the center of the vortex. To find the circulation of a line vortex, we need to know the velocity of the fluid at a given distance from the center of the vortex.
Assuming that the downward velocity at a point 2 meters orthogonally from the line vortex is 2 m/s, we can use the equation for the velocity of the fluid in a line vortex to find the circulation:
Circulation = 2 * r
where r is the distance from the center of the vortex.
In this case, the velocity of the fluid is 2 m/s and the distance from the center of the vortex is 2 meters. Plugging these values into the equation, we get:
Circulation = 2 * 2 = 4 m/s
Therefore, the circulation of the line vortex is 4 m/s.
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element X has two isotopes: X-27 and x-29. x-27 has an atomic mass of 26.975 and a relative abundance of 82.33%, and X-29 has an atomic mass of 29.018 and a relative abundance of 17.67%. calculate the atomic mass of element X. show your work
Answers
Answer:
27.34 (no unit)
Explanation:
26.975*82.33%+29.018*17.67%
=27.34
Rodney hits a 0.060 kg tennis ball straight up with a speed of 15 m/s from a height of 2.2 m above the ground. How fast is the ball going when it is 9.5 m above the ground?
Answers
Answer:
Explanation:
From the question we are told that
The mass of the tennis ball is \(m = 0.060 \ kg\)
The speed is \(u = 15 \ m/s\)
The initial height of the ball is \(h_o = 2.2 \ m\)
The height considered is \(h = 9.5 \ m\)
Generally the time taken to reach the considered height is mathematically evaluated from the equation of motion as follows
\(h = h_o + ut - \frac{1}{2} gt^2\)
=> \(9.5 = 2.2 + 15t - \frac{1}{2} * 9.8 t^2\)
=> \(7.3 = 15t - 4.9t^2\)
=> \(4.9t^2 -15t + 7.3\)
solving the above equation using quadratic formula
\(t= 0.6070 \ s\) and \(t_1 = 2.454 \ s\)
Generally from kinematic equation we have that
\(v = u - gt\)
=> \(v= 15 - 9.8 * 0.6070\)
=> \(v= 9.0514 \ m/s\)
Note if we had used the second values of time the velocity at 9.5 \ m would have been negative which is not correct given that at maximum height velocity is zero
Is the spanish plant an example of sexual reproduction
Answers
yes it is any plant is apart of reproduction
What's this please
w
Answers
The best explanation for the phenomenon shown in the picture is that electrons are moving between the cloud and the three forming a current.
How does lighting occur?During a storm, the energy inside clouds becomes unstable due to the movement caused by air currents. As a result, clouds become negatively charged while the ground has a positive charge.
This difference causes a current to be created between the surface of the land and the cloud. In this, electrons play a major role as atoms gain or lose electrons in this process.
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A light ray travels through water and reflects off a glass surface back into the water. How do the phases of the incident light and the reflected light compare?.
Answers
The aquarium's glass wall reflects light that is passing through the water. The incident light's phase has a 180° phase shift.
What are light and its various types?Light is the electromagnetic radiation that the visual system may perceive. From radio waves with wavelengths measured in metres to cosmic rays having wavelengths less then roughly 1 103 meters, ionizing waves occurs throughout a very broad spectrum of wavelengths.
What is light defined as using an example?Wavelength of electromagnetic radiation, or occasionally only the 400–700 nm range of wavelength that are observable to the na-ked eye. (2) A light source, such as a lamp or perhaps an electric fixture. (3) The experience or sensing light.
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