I believe there are two things which we asked to find here:
1. its speed just as it left the ground
2. find its maximum height
Solutions:
1. We use the formula:
ΔKE = - ΔPE
where KE is kinetic energy = ½ mv^2, and PE is potential energy = m g h, Δ = change
Therefore:
½ m (v2^2 – v1^2) = m g (h1 – h2)
at initial point, point 1: h1 = 0, v1 = ?
at final point, point 2: h2 = 15.4 m, v2 = 24.2 m/s
½ (24.2^2 – v1^2) = 9.8 (0 – 15.4)
585.64 – v1^2 = -301.84
-v1^2 = 887.48
v1 = 29.8 m/s
So the rock was travelling at 29.8 m/s as it left the ground.
2. The maximum height (hmax) reached is calculated using the formula:
v1^2 = 2 g hmax
Rewriting in terms of hmax:
hmax = v1^2 / 2 g
hmax = (29.8)^2 / (2 * 9.8)
hmax = 45.3 m
Therefore the rock reached a maximum height of 45.3 meters.
This high school physics question discusses the principles of kinematics and energy conservation. Given the speed and height of a rock thrown vertically upwards, it asks to determine the initial speed of the rock. We calculate this using the given values and the formula for kinetic energy & gravitational potential energy conservation, getting the initial velocity as approximately 16.88 m/s.
Explanation:The subject of this question pertains to physics, specifically the application of the principles of kinematics and energy conservation in studying projectile motion. Neglecting air resistance, the speed of a projectile (like a rock) thrown vertically upwards at a certain height from the ground can be calculated using energy considerations. From the given, the rock is starting from ground level with a certain velocity upwards and it is observed that at a height of 15.4 m, its speed is 24.2 m/s. Let's denote the initial speed when the rock was thrown as v0.
Using the equation v = √(2gh + v0²), where g is the acceleration due to gravity (9.8 m/s²) and h is the height (15.4 m), we can find the initial velocity of the rock. Plugging in the known values, we get v0 as √[(24.2 m/s)² - 2*(9.8 m/s²)×15.4 m] = √(585.64-301.6) m/s = √284.04 m/s = 16.88 m/s.
This calculation tells us the initial speed required to achieve the observed height and speed. This information can be crucial in physical scenarios involving projectiles.
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What did galileo’s principle of inertia state?
Answer:
Explanation:
Inertia is the property of any object which always resist any change in the object.
Inertia is measured by the mass of the object.
More be the mass of the object, more be the inertia.
Galileo's law of inertia state that, if a body is at rest it always remains at rest and if a body is in motion it remains in motion, until and unless an external force is not applied on the body.
It is also called Newton's first law of motion.
A person struggles very hard to lift a large boulder. He puts in so much effort, he starts to sweat, his heart rate increases, and he gets really tired. All of his effort is for nothing, the boulder does not move at all. In this situation, has work been done? Explain!
*Use the scientific definition of "work" to answer this question.
A(n) __________ is a fast-flowing river of air at the boundary between the troposphere and stratosphere.
When gas or liquid particles become more spread out over time what is that called?
What are the units of the constant of proportionality, k?
What is the direction of the net force acting on the object at position a? hints what is the direction of the net force acting on the object at position a? upward downward to the left to the right the net force is zero?
Looking at the position A, we can actually see that velocity vectors connecting position A and its adjacent positions appear to have similar magnitude and in similar direction. Hence the acceleration is zero and similarly, the net force is also zero.
Answer:
Net force is zero
The net force acting on the object at position A is zero, option 5 is correct.
In physics, an object's motion is determined by the net force acting upon it. When multiple forces act on an object, they can either cancel each other out or add together to create a resultant force. At position A, if the forces acting on the object are balanced in such a way that the magnitudes and directions of all forces cancel each other out, the net force is zero.
This means that there is no overall acceleration or change in motion, and the object remains in a state of equilibrium. In other words, the forces pushing or pulling in various directions at position A are perfectly balanced, resulting in a net force of zero, option 5 is correct.
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The complete question is:
What is the direction of the net force acting on the object at position A?
1. upward
2. downward
3. to the left
4. to the right
5. The net force is zero.
What is the difference between a transverse and a longitudinal wave?
Transverse Waves: Displacement of the medium is perpendicular to the direction of propagation of the wave.
To understand this it is good to think of a rope being held still by person B and being moved up and down by person A. The direction of propagation is from person A to B, so you will see the waves move along this way. But the displacement will be up and down.
Can travel in solids, but not in liquids and gas.
Electromagnetic radiation
Transverse Waves: Displacement of the medium is perpendicular to the direction of propagation of the wave.
To understand this it is good to think of a rope being held still by person B and being moved up and down by person A. The direction of propagation is from person A to B, so you will see the waves move along this way. But the displacement will be up and down.
Can travel in solids, but not in liquids and gas.
eg. Electromagnetic radiation
Longitudinal Waves: Displacement of the medium is parallel to the direction of propagation of the wave.
A good example for this is a slinky being pushed along the table, the propagation will be along the table and so will the displacement of all the 'rings'.
Can travel through all states of matter.
Sound waves
A closed container is filled with oxygen. the pressure in the container is 335 kpa . what is the pressure in millimeters of mercury?
A closed container is filled with oxygen. the pressure in the container is 335 k-pa . The pressure in mili meters of mercury 2,513 millimetres of mercury.
What is pressure?The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.
Conversion factor is
1 mm of Hg = 133.322 pascals,
So, 335 kpa the pressure in millimeters of mercury is 2,513 millimetres of mercury.
The pressure in mili meters of mercury 2,513 millimetres of mercury.
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You are riding on your bike and stop pedaling , coasting along the road. eventually, your bike slows down and stops. what happened to the energy of your motion when your bike stopped?
Answer: A
Explanation:
What did William Herschel discover that Isaac newton didn't
William Herschel discovered the planet Uranus, mapped the structure of the Milky Way, and was the first to detect infrared radiation, all of which were discoveries not made by Isaac Newton.
William Herschel made several significant discoveries that Isaac Newton did not, owing to the advancement of scientific knowledge and technology in Herschel's time. One of Herschel's most noteworthy achievements was the discovery of the planet Uranus in 1781. This discovery was the first identification of a new planet in the modern era and extended the known boundaries of our solar system at the time.
Furthermore, Herschel's contributions to astronomy also include the recognition of the Milky Way's structure. In 1785, using his custom-built large reflecting telescope, he conducted an extensive star count along with his sister Caroline. Through this, he mapped the shape of the Milky Way Galaxy, deducing that it has a disk-like structure with the sun near its central region. Prior to Herschel's observations, the full extent and shape of the galaxy were not understood.
What’s a shield volcano
Volcanoes come in different shapes, depending on the type of eruption. Shield volcanoes have shallow, sloping sides and are formed by very hot, runny lava that spreads over a wide area. The majority of the volcanoes that happen occur along the cracks in the lithosphere that mark the edges of the tectonic plates.
One disadvantage of using a survey to gather data for psychological purposes is the fact that it can be __________.
One disadvantage of using a survey to gather data for psychological purposes is the fact that it can be subject to response bias.
Social Desirability Bias: Respondents may provide answers that they believe are socially acceptable or desirable rather than their true feelings or behaviors. They may want to present themselves in a positive light, which can lead to inaccurate responses.
Acquiescence Bias: Some individuals have a tendency to agree with statements or questions, regardless of their true beliefs.
Extreme Response Bias: On the other hand, some respondents may consistently choose the most extreme response options (e.g., always selecting "strongly agree" or "strongly disagree") without considering the nuances of the questions.
Non-Response Bias: Not all individuals approached to participate in a survey actually respond. Those who choose not to respond may have different characteristics or perspectives from those who do respond, leading to potential bias in the sample.
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When the voltage across a steady resistance is doubled, the current?
I'm actually going ahead in the book (DC Circuits) so this isn't really homework but I figured the tag was appropriate....the name of the chapter is Ohm's Law and Watt's Law.
Problem: Calculate the power dissipated in the load resistor, R, for each of the circuits.Circuit (a): V = 10V; I = 100mA; R = ?; Since I know V and I use formula P = IV: P = IV = (100mA)(10V) = 1 W.The next question is what I'm not sure about:
Question: What is the power in the circuit (a) above if the voltage is doubled? (Hint: Consider the effect on current).
What I did initially was: P = IV = (100mA)(2V) = 2 W
But then I looked at the answer and it said 4 W, then I looked at the Hint again. Then I remembered in the book early on it said "If the voltage increases across a resistor, current will increase."
So question is: When solving problems I have to increase (or decrease) current (I) every time voltage (V) is increased (decreased) in a problem, right? How about the other way around, when increasing current (I), you need to increase voltage (V). I'm pretty sure that's how they got 4 W, but want to make sure before I head to the next section of the book.
P = IV = (200mA)(2V) = 4 W
According to Ohm's law, if the voltage across a constant resistance is doubled, the current will also double. This relationship holds true as long as the resistance remains unchanged. The key concept here is the direct proportionality of voltage and current, as described by I = V/R.
According to Ohm's law, the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The mathematical equation that describes this relationship is I = V/R.
When the voltage across a fixed resistance is doubled, Ohm's law dictates the relationship between voltage and current. If the voltage is increased two-fold while the resistance remains constant, the current will also double. This is because, in the equation I = V/R, if V is multiplied by two, and R remains the same, then I must also be multiplied by two.
Therefore, if a student is faced with the decision to either double the voltage or the resistance with the voltage remaining constant, the best choice to maintain the current flow would be to option (b) double the current, which aligns with Ohm's law. Doubling the resistance would actually halve the current based on the formula.
If the voltage across a circuit is increased four times, the current would also increase four times, assuming the resistance stays the same. Additionally, if the resistance of a circuit is halved, for a fixed amount of voltage such as the 110 V provided by an electric company, this means the current would double, leading to twice as much power dissipation.
"what is the important measure from weather radar that gives the intensity of the precipitation?"
The measure that gives the intensity of precipitation from the weather radar is the rate of dispersion of the microwave energy pulses returning back to the radar .
There are three main ways of measuring intensity of precipitation and they are
Precipitation/rain gauge Ground based weather radar Earth-observing satellitesFor the purpose of your question the weather radar been discussed is the ground based weather radar.
A weather radar is an equipment used for the predetermination of precipitation in a region. it performs this function by sending out microwave energy pulses via tube transmitter into the atmosphere( air ) to detect the possibility of precipitation.
Hence The important measure of the weather radar that helps determine the intensity of the precipitation is; rate of dispersion of the microwave energy pulses sent out to the atmosphere.
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When one car was twice the mass of the other, do the cars still experience equal and opposite forces? Why or why not?
During a collision, two cars experience equal and opposite forces according to Newton's Third Law of Motion, but their accelerations differ due to Newton's Second Law as a less massive car will experience a greater change in velocity.
When one car is twice the mass of the other during a collision, the two cars do indeed experience equal and opposite forces according to Newton's Third Law of Motion. This law states that for every action, there is an equal and opposite reaction. Therefore, no matter the disparity in mass, the forces exerted on each other during a collision are equal in magnitude but opposite in direction. Although the forces are equal, the effect of these forces will differ due to Newton's Second Law of Motion, which links the net force acting on an object to its mass and acceleration (F = ma). A less massive car will experience a greater acceleration (or deceleration) than a more massive car under the same force. This concept is crucial in understanding the dynamics of collisions.
List six forms of electromagnetic radiation from the shortest waves(highest energy) to the longest waves (lowest energy)
What is energy? differentiate between potential and kinetic energy?
Energy is the capacity to do work or cause motion, existing as either potential energy, which is stored, or kinetic energy, which is the energy of motion. Potential energy can be elastic, gravitational, or chemical, while kinetic energy is directly involved in movement and changes in motion.
Energy is the capacity to do work or cause motion. It exists in various forms which can be generally categorized into potential energy and kinetic energy. The fundamental difference between these two is that potential energy is stored energy based on an object's position, condition, or composition, whereas kinetic energy is the energy of motion, the energy that an object possesses due to its movement.
In kinetic energy, an object is in motion, like a moving car. In potential energy, the energy is stored, like a stretched spring. For example, a ball thrown in the air has kinetic energy when moving upward and potential energy at the highest point of its trajectory.
Potential energy can be further differentiated into various types, such as elastic potential energy found in stretched or compressed springs and rubber bands, gravitational potential energy which is due to an object's position relative to Earth or another celestial body, and chemical potential energy which is stored in chemical bonds and released during chemical reactions.
Kinetic energy is expressed as [tex]KE = \frac{1}{2} mv^2[/tex], where 'm' stands for mass and 'v' for velocity. Examples of kinetic energy include the movement of machinery, electricity flow, wind, and water currents. It's the active form of energy, that is directly involved in causing changes and creating motion.
When an object's potential energy is converted into kinetic energy, it begins to move and work is done. This occurs without the creation or destruction of energy, adhering to the law of conservation of energy or the first law of thermodynamics.
Which heat transfer method is used to capture the sun's energy?
Identify two types of nuclear reactions in which the equation E = mc2 applies.
Which of the following is a physical property of wood?
Wood can burn
Wood can rot
Wood does not rust
Wood is softer than coal
Answer:
d is the answer
Explanation:
What diameter is the sun by the scale used? a0 mm
Pls help!!! Quick question!!!
Which of the following is a difference between rotation and translation?
A. Rotation has a reference point, while translation does not.
B. Translation has a reference point, while translation does not.
C. A rotation body moves around an internal or external axis, but a translating body does not.
D. A translation body moves around an external axis, but a rotating body moves around an internal axis.
Too much skepticism can
What is a successful result of science
the correct answer is a discovery
) the best rebounders in basketball have a vertical leap (that is, the vertical movement of a fixed point on their body) of about 120 cm. (a) what is their initial "launch" speed off the ground? (b) how long are they in the air?
The initial 'launch' speed of a basketball rebounder with a vertical leap of 120 cm is approximately 4.9 m/s. They are in the air for about 1 second, given the symmetry of the jump's ascent and descent.
Explanation:The best rebounders in basketball who have a vertical leap of 120 cm possess a certain initial launch speed and time in the air. These can be determined using the equations of motion in physics. The equation for the height h in terms of initial speed v, time t, and acceleration due to gravity g (about 9.8 m/s²) is: h = vt - 0.5gt².
(a) Setting h to 1.2 meters (or 120 cm) and t to the time of the peak of the jump (which is when the velocity v becomes 0), we get h = 0.5gt, or v = gt. Plugging in g, we get an initial launch speed off the ground of roughly 4.9 m/s.
(b) To find out how long they are in the air, we recognise that the time to reach the peak and the time to fall back down should be the same, given symmetry. Therefore the total time in air would be 2t, which is also equal to 2v/g. Plugging in the values, we get the athlete is in the air for roughly 1 second.
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The record of an earthquake obtained from a seismic instrument is a(n) ________.
Answer:
Explanation:
It’s a SESMOGRAPH
An aircraft engine takes in 9000 j of heat and discards 6400 j each cycle. (a) what is the mechanical work output of the engine during one cycle? (b) what is the thermal efficiency of the engine?
a. The mechanical work output of the engine during one cycle is 2600 Joules.
b. The thermal efficiency of the engine is equal to 28.89%.
Given the following data:
Heat input = 9000 JoulesHeat output = 6400 Joulesa. To determine the mechanical work output of the engine during one cycle:
Mathematically, the mechanical work output of an engine during one cycle is given by the formula:
[tex]Work = H_{in}- H_{out}\\\\Work = 9000-6400[/tex]
Work output = 2600 Joules
b. To determine the thermal efficiency of the engine:
[tex]Th_{E} =\frac{Work}{H_{in}} \times 100\\\\Th_{E} =\frac{2600}{9000} \times 100\\\\Th_{E} =0.2889 \times 100[/tex]
Thermal efficiency = 28.89%
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Waves interact with __________ and other___________ .
Answer:
Waves interact with
⇒ objects and other
⇒ waves.
Explanation:
Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = gmm r2 where g is the gravitational constant and r is the distance between the bodies. (a) find df/dr.
Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = Gmm/r² where G is the gravitational constant and r is the distance between the bodies. Then df/dr = Gmm(-2/r³).
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.
The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
f = Gmm/r²
df/dr = Gmm(-2/r³).
Newton's law of gravitation says that the magnitude f of the force exerted by a body of mass m on a body of mass m is f = Gmm/r² where G is the gravitational constant and r is the distance between the bodies. Then df/dr = Gmm(-2/r³).
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A 1.28×103 kg car accelerates uniformly from rest to 11.7 m/s in 2.93 s. what is the work done on the car in this time interval?
To solve this we must be knowing each and every concept related to work and its calculation. Therefore, 439,805 Joules is the work done on the car in this time interval.
What is work?Work in physics is the energy delivered to or out of an item by applying force across a displacement. It is frequently expressed in its most basic form as the combination of displacement and force.
When a force is applied, it is said to produce positive work if it has a proportion in the orientation of the movement of a site of application. Work done is positive when the direction of force acting on the object and displacement of the object both are in the same direction.
Mathematically,
acceleration=(V-Vo)/t
= (12.4-0)/3.77
= 3.29 m/s^2
d = 0.5×3.29×(3.77)² = 23.37 m
Work = F×d
= (m×g) ×d
=(1920*9.8)23.37
= 439,805 Joules.
Therefore, 439,805 Joules is the work done on the car in this time interval.
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