Answers
Given data
*The given height is h = 35 m
*The value of the acceleration due to gravity is g = 9.8 m/s^2
The formula for the speed of the lantern is given by the conservation of energy as
\(\begin{gathered} U_p=U_k \\ mgh=\frac{1}{2}mv^2 \\ v=\sqrt[]{2gh} \end{gathered}\)Substitute the known values in the above expression as
\(\begin{gathered} v=\sqrt[]{2\times9.8\times35} \\ =26.19\text{ m/s} \end{gathered}\)Hence, the speed of the lantern is v = 26.19 m/s
Related Questions
"n 25 kg object is moving at a velocity or 10 ml. the obec has energy. Calculate it.
Answers
The energy of 25 kg object is moving at a velocity or 10 ml is 1250J.
What does a 25 kilogram object travelling at 10 m/s kinetic energy look like?KE = 1/2mv²
The mass is m = 25kg
The velocity is v = 10ms⁻¹
KE = 1/2 × 25 × 10²
⇒ KE = 1250J
Hence, Kinetic energy is 1250J
What is Kinetic energy?The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.
What is velocity?The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.
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A waveform with a wavelength of 2.5 meters is graphed. How far apart will each node be? __m
Answers
Answer:
If the wavelength is 2.5 meters, each node will be half a wavelength apart from each other. Therefore, each node will be 1.25 meters apart.
Explanation:
The distance between nodes of a standing wave is equal to half the wavelength of the wave. This is because nodes are points along the wave where there is zero amplitude or displacement, and they occur at fixed intervals that are determined by the wavelength of the wave. Therefore, the distance between nodes is directly proportional to the wavelength of the wave.
Order the substances from least dense at the top (1) to most dense at
the bottom (5).
Carbon
dioxide
Lead
Water
Helium
Gold
1
O
O
O
O
2
O
O
O
O
3
O
O
O
4
O
O
O
O
O
*
50 puntos
5
O
O
O
O
Answers
The most denser among the given materials is gold and the least dense one is helium. The order of density from least to most dense is helium, carbon dioxide, water, lead and gold.
What is density?Density of a substance is the measure of its mass per unit volume. It describes how closely packed its particles. density depends on the bond type, temperature and pressure.
The density of helium is very low and it is the lightest element after hydrogen. It density is about 0.00017 g/ml. Density of carbon dioxide is 0.0019 g/ml and the density of water is 1 g/ml.
Gold is a denser metal and its density is about 19.3 g/ml and that of lead is 11.3 g/ml. Hence, the order of density from least to most dense is He < carbon dioxide< water< lead < gold.
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PLEASE PLEASE HELP PICTURE INCLUDED
Answers
Answer:
an electro magnet is technology contain at least one permanent magnet
please i dont understand
Answers
An asteroid is in a highly eccentric elliptical orbit around the Sun. The period of the asteroid’s orbit is 90 days. Which of the following statements is true about the possibility of a collision between this asteroid and the Earth? (a) There is no possible danger of a collision. (b) There is a possibility of a collision. (c) There is not enough information to determine whether there is danger of a collision
Answers
About the possibility of a collision between this asteroid and the Earth the true statement is there is not enough information to determine whether there is danger of a collision.
What is asteroid?
A tiny, stony object called an asteroid orbits the Sun. They are made up of materials left over from the formation of the solar system and are typically found in the asteroid belt. Most asteroids are less than one kilometer in diameter, but some can be much larger. Asteroids are commonly composed of minerals and metals, such as iron, magnesium, and silicon. Asteroids are classified into three main types: C-type, S-type, and M-type. C-type asteroids are the most common and make up around 75% of known asteroids. They are made up of dark, carbon-rich material and are often referred to as "carbonaceous chondrites". S-type asteroids are made up of silicate material, such as clay and silica, and are typically brighter than C-type asteroids. M-type asteroids are made of metallic material, such as iron and nickel, and are the least common type.
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Need help with this assignment please
Answers
Torque is a measure of the turning force applied to an object about a rotational axis. It is calculated as the product of the force applied to the object and the distance from the axis of rotation at which the force is applied.
How to explain the informationUse the equation slope = mod to calculate the unknown mass (mo) for parcels A and C, setting d = 1.0 m, and parcels G and H, setting d = 1.5 m.
Record all data, tables, and four graphs for analysis.
The experiment demonstrates the application of torque in determining unknown masses and provides valuable insights into the concept of torque in physics.
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Which of the following relationships is correct?
2 points
1 N = 1 kg
1 N = 1 kg·m
1 N = 1 kg·m/s
1 N = 1 kg·m/s2
Answers
A bungee jumper with mass 50.0 kg jumps from a high bridge. After arriving at his lowest point, he oscillates up and down, reaching a low point five more times in 28.0 s. He eventually comes to rest 27.0 m below the level of the bridge. Assume very little damping.
Estimate the spring constant of the bungee cord assuming SHM.
Estimate the unstretched length of the bungee cord assuming SHM.
Express your answer with the appropriate units.
Answers
The unstretched length of the bungee cord is 29.4 m.
Simple harmonic motion is a type of periodic motion in which the displacement of an object from its equilibrium position is directly proportional to the force acting on it and is always directed towards the equilibrium position. It is characterized by a sinusoidal pattern of motion and has many real-world applications, including in oscillations of springs and pendulums.
We can solve this problem by applying the principles of simple harmonic motion (SHM) to the bungee jumper's oscillations.
Let's begin by finding the period of oscillation, T. The time it takes for the bungee jumper to reach the lowest point and return to the same point is one period of oscillation. From the problem, we know that the bungee jumper completes 6 cycles (5 low points plus the initial jump) in 28.0 s. Therefore, the period of oscillation is:
T = 28.0 s / 6 = 4.67 s
Next, we can use the formula for the period of an object undergoing SHM to find the spring constant, k, of the bungee cord:
T = 2π √(m/k)
where m is the mass of the bungee jumper. Rearranging this formula to solve for k, we get:
k = (4π²m) / T²
Substituting the given values, we get:
k = (4π² × 50.0 kg) / (4.67 s)² = 360 N/m
So the spring constant of the bungee cord is approximately 360 N/m.
To find the unstretched length of the bungee cord, we can use the fact that the bungee jumper comes to rest 27.0 m below the level of the bridge. At this point, all of the potential energy from the initial jump has been converted into elastic potential energy stored in the bungee cord. Therefore, the total energy of the system is:
E = mgh = (1/2)kx²
where h is the height from which the bungee jumper initially jumped (we assume that there is no air resistance), and x is the unstretched length of the bungee cord.
Substituting the given values, we get:
(50.0 kg)(9.81 m/s²)(27.0 m) = (1/2)kx²
Solving for x, we get:
x = √[(2mgh)/k] = √[(2 × 50.0 kg × 9.81 m/s² × 27.0 m) / 360 N/m] ≈ 29.4 m
Hence, the unstretched length of the bungee cord is approximately 29.4 m.
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Newton's Third Law of Motion
Answers
Answer:
Whenever one body exerts a force on a second body, the first body experiences a force that is equal in magnitude and opposite in direction to the force that it exerts
Explanation:
Answer: According to Khan Academy "Newton's third law: If an object A exerts a force on object B, then object B must exert a force of equal magnitude and opposite direction back on object A.
Explanation: This law represents a certain symmetry in nature: forces always occur in pairs, and one body cannot exert a force on another without experiencing a force itself. We sometimes refer to this law loosely as action-reaction, where the force exerted is the action and the force experienced as a consequence is the reaction.
We can readily see Newton’s third law at work by taking a look at how people move about. Consider a swimmer pushing off from the side of a pool, as illustrated below.
A swimmer pushes on the wall with her feet, which causes the wall to push back on her feet due to Newton's third law."
Hope this helps ^_^ and have a great day
An object is attached to a trolley with a 0.80 kg mass, which is then pushed into an identical trolley at a speed of 1.1 m / s. The two trolleys couple together and move at a speed of 0.70 m / s after the collision. Calculate the mass of the object.
Answers
The mass of the object is approximately 0.457 kg.
The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.
Using the momentum equation, the mass of the object can be calculated as follows:
Total momentum before collision = Total momentum after collision
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
Solving for the mass of the object, we get:
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object
0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object
0.32 kg = 0.70 kg * mass of the object
Dividing both sides by 0.70 kg, we find:
mass of the object = 0.32 kg / 0.70 kg = 0.457 kg
The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.
The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.
After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.
In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.
Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.
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answer the question in the picture
Answers
The option that represents what the magnetic field look like above the North pole is an arrow that decreases as we go up and points up (E)
How to explain the informationThe magnetic field lines of a magnet point away from the north pole and towards the south pole. The field lines are strongest at the poles and weaken as you move away from the poles.
So, the arrow that represents the magnetic field above the north pole will be pointing up, but it will become smaller and smaller as you go up.
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A boy slides a book across the floor, using a force of 5 N over a distance of 2
m. What is the kinetic energy of the book after he slides it? Assume there is
no friction.
A. 5 J
B. 10 J
C. 20 J
D. 2.5 J
SUBMIT
Answers
The kinetic energy of the book after it is slids a distance of 2 meters will be 10 Joules.
How to determine the kinetic energy of an object?The work-energy theorem states that "the work done on an object is the change in its kinetic energy".
Hence;
Kinetic energy = work done
Note that: work-done is expressed as:
Work done = f × d
Where f is force applied and d is distance traveled.
Given that:
Force applied f = 5 newton
Distance d = 2 meters
Work done = ?
Plug these values into the above formula and solve for the workdone.
Work done = f × d
Work done = 5N × 2m
Work done = 10Nm
Work done = 10 Joules
Therefore, the kinetic energy is 10 Joules.
Option B) 10 J is the correct answer.
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A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 60 m/s and 80 m/s, respectively. (a) Determine the initial speed of the projectile. (b) At what angle is the projectile fired (measured with respect to the horizontal)
Answers
This question involves the concepts of projectile motion and launch speed.
(a) The initial launch speed of the projectile is "100 m/s".
(b) The launch angle of the projectile is "53.13°".
(a) LAUNCH SPEEDA projectile motion is a motion that takes place on both x and y axes, simultaneously. In this motion the initial launch speed is given by the following formula:
\(v_o=\sqrt{v_{ox}^2+v_{oy}^2}\)
where,
\(v_o\) = initial launch speed = ?\(v_{ox}\) = horizontal component of initial launch speed = 60 m/s\(v_{oy}\) = vertical component of initial launch speed = 80 m/sTherefore,
\(v_o = \sqrt{(60\ m/s)^2+(80\ m/s)^2}\\\\v_o = 100 m/s\)
(b) LAUNCH ANGLELaunch angle is given by th following formula:
\(\theta = tan^{-1}(\frac{v_{oy}}{v_{ox}})=tan^{-1}(\frac{80\ m/s}{60\ m/s})\\\\\theta=53.13^o\)
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As a ball falls freely toward the ground, its kinetic energy
Answers
Answer:
increases.
Explanation:
As a ball falls freely towards the ground, it's kinetic energy increases. If the kinetic energy increases, that means the object hasn't hit the bottom yet. If the ball continues to fall freely towards the ground, the air gives it more pressure, after that the pressure begins to increase.
It is the psychological, emotional and behavioral reactions and deficits of women victims and their inability to respond to repeated physical and psychological violence?
Answers
PTD. Post-traumatic stress disorder. Post-traumatic stress disorder (PTSD) affects battered women and results from exposure to a severe traumatic stressor, such as actual or imminent death or significant harm.
Being exposed to or experiencing a terrible experience can cause post-traumatic stress disorder (PTSD), a mental health disease. Flashbacks, nightmares, excruciating anxiety, and irrational thoughts about the incident are just a few symptoms that may appear. Most survivors of traumatic situations may initially struggle with adjusting and coping, but with time and proper self-care, they typically grow better. You might have PTSD if the symptoms worsen, last for weeks, months, or even years, and affect how you function on a daily basis. For PTSD symptoms to be reduced and functioning to be improved, receiving adequate therapy after the onset of symptoms is crucial.
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please help me !
1. Suppose that the temperature drops 25 degrees overnight. When you get into your car the next morning, your low tire pressure light comes on. Explain, in terms of the ideal gas law, why this happened (assume air is an ideal gas). (10 points)
Answers
Answer:
The drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires. According to the ideal gas law, this leads to a decrease in tire pressure. The low tire pressure light in vehicles is triggered when the pressure falls below a certain threshold, alerting the driver to check and adjust the tire pressure.
Explanation:
The ideal gas law, represented by the equation PV = nRT, relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas. In this case, we can analyze how the drop in temperature affects the tire pressure.
When the temperature drops, according to the ideal gas law, the pressure of a gas will decrease if the volume and the number of moles remain constant. This is because the decrease in temperature causes a decrease in the average kinetic energy of the gas particles, leading to less frequent and less forceful collisions with the tire walls, resulting in a decrease in pressure.
In the context of the tire pressure, the air inside the tires behaves as an ideal gas. When the temperature drops overnight, the air inside the tires also cools down, causing a decrease in its temperature. As a result, the average kinetic energy of the air molecules decreases, leading to a decrease in pressure inside the tires.
The low tire pressure light comes on as a result of this drop in pressure. The tire pressure monitoring system in modern vehicles is designed to detect significant deviations from the recommended tire pressure. When the pressure drops below a certain threshold, typically due to temperature changes or a puncture, the light is triggered to alert the driver to check and adjust the tire pressure.
Therefore, the drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires, resulting in a decrease in tire pressure, which triggers the low tire pressure warning light.
Hope this helps!
A 10kg object is 15 meters up a hill. Find its potential energy
Answers
Answer:
Explanation:
Relative to an origin at the bottom of the hill,
PE = mgh = 10(9.8)(15) = 1470 J
¿Cuál es el trabajo neto en J que se necesita para acelerar un auto de 1500 kg de 55 m/s a 65 m/s?
What is the net work in J required to accelerate a 1500 kg car from 55 m/s to 65 m/s?
Answers
The net work done (in J) required to accelerate a 1500 kg car from 55 m/s to 65 m/s is 3127500 J
How do i determine the net work done?First, we shall obtain the initial kinetic energy. Details below:
Mass (m) = 1500 Kginitial velocity (u) = 55 m/sInitial kinetic energy (KE₁) =?KE₁ = ½mu²
= ½ × 1500 × 55²
= 41250 J
Next, we shall final kinetic energy. Details below:
Mass (m) = 1500 KgFinal velocity (v) = 65 m/sFinal kinetic energy (KE₂) =?KE₂ = ½mv²
= ½ × 1500 × 65²
= 3168750 J
Finally, we shall determine the net work done. Details below:
Initial kinetic energy (KE₁) = 41250 JFinal kinetic energy (KE₂) = 3168750 JNet work done (W) =?W = KE₂ - KE₁
= 3168750 - 41250
= 3127500 J
Thus, the net work done is 3127500 J
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a ball with a mass of 5 kg is acted upon by a force of 20 n. if the ball moves from a velocity of 0 m/s and accelerates for 2 seconds, what is the change in velocity?
Answers
The change in velocity of the ball is 8 meter/second.
What is acceleration?Acceleration is the rate at which a velocity changes over time. It qualifies as a vector quantity because it possesses both direction and magnitude. Meter/second^2 (m/s^2) is the SI unit of acceleration.
Given that: a ball with a mass of 5 kg is acted upon by a force of 20 N.
Hence, acceleration of the ball = 20/5 m/s² = 4 m/s².
Initial velocity of the ball = 0 m/s.
Time interval = 2 seconds.
Then the change in velocity is = acceleration × time
= 4 × 2 meter/second.
= 8 meter/second.
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NEED HELP ON QUESTION ASAP! !
If answer is correct I'll rate you five stars a thanks and maybe even brainliest!
Please can you explain what this paragraph is trying to say. Also what does it mean in the sentence 'the difference in charge across the battery provides push for current' and what is the difference in charge.
Here's paragraph I need to have a simple definition of:
A high waterfall is also like a large voltage. It will transfer a lot of energy to the water (charge), making the river flow very fast (a large current) the difference in height makes the river flow. In a circuit , the difference in charge across battery provides push for the current.
Answers
It is saying that a high waterfall has a lot of potential energy that can transfer to the water and cause it to flow very fast, which is similar to how a large voltage in an electric circuit can create a large current. The difference in height of the waterfall causes the water to flow, just as the difference in charge across a battery provides the push or force for the current to flow in a circuit.
In an electric circuit, voltage is the measure of the electric potential difference between two points, and it is measured in volts. Current is the flow of electric charge through the circuit, and it is measured in amperes or amps. The difference in charge across the battery refers to the potential difference or voltage between the positive and negative terminals of the battery, which creates an electric field and provides the force or push for the current to flow through the circuit.
The photosphere refers to the Sun's:
core
atmosphere
surface
magnetic field
Answers
Answer:
The photosphere is the visible "surface" of the sun. So your answer would be C.
Explanation: its right
An average person is 175 cm tall. How
many people could you stack one on top of
another to reach the top of the CN Tower
(553 m)?
Answers
The number of people you will stack to reach the top of the CN Tower (553 m) is 316 people
Hor to convert 175 centimeters to metersWe'll begin by converting 175 cm to m. This can be obtained as illustrated below:
100 cm = 1 m
Therefore,
175 cm = (175 cm × 1 m) / 100 cm
175 cm = 1.75 m
Thus, 175 cm is equivalent to 1.75 m
How to determine the number of people neededThe number of people needed to be stacked to get to the top of the CN tower can be o btained asfollow:
Height of tower = 553 mHeight of a person = 1.75 mNumber of people needed =?Number of people needed = Height of tower / height of a person
Number of people needed = 553 / 1.75
Number of people needed = 316 people
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A 0.55 kg basketball moving 6.3 m/s to the right collides with a 0.06 kg tennis
ball moving 35 m/s to the left. After the collision, the tennis ball is moving
39.5 m/s to the right. What is the velocity of the basketball after the collision?
Assume an elastic collision occurred.
A. 1.8 m/s to the right
B. 14.4 m/s to the left
C. 14.4 m/s to the right D. 1.8 m/s to the left
Answers
Answer:
1.8 ms to the left
Explanation:
Answer:1.8 ms to the left
Explanation:
Acceleration vs. Mass
16
The graph shows the acceleration of the cart as the
mass of the cart varies.
As the mass of the cart increases, the acceleration of
the cart increases
The type of relationship that exists between the mass of
the cart and the acceleration of the cart is
relationship.
Answers
Answer:
decreases, inverse
Explanation:
if you are on edge, i'm helping you, go run
To solve this we must be knowing each and every concept related to direct relationship and inverse relationships. Therefore, there is direct relationship that exists between the mass of the cart and the acceleration of the cart.
What is direct relationship?In a direct connection, one variable's growth is directly proportionate to another's. Using the ball from the previous section as an example, a ball will bounce higher the higher it is dropped.
The way inverse relationships function varies. The quantity of y drops when x is raised. For instance, your travel time will be reduced if you go more swiftly to your destination. There is direct relationship that exists between the mass of the cart and the acceleration of the cart.
Therefore, there is direct relationship that exists between the mass of the cart and the acceleration of the cart.
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The amount of energy needed to a power a 0.20kw bulb for one minute would be just sufficient to lift a 2.5 kg object through a vertical distance of
Answers
The amount of energy needed to power a 0.20 kW bulb for one minute would be just sufficient to lift a 2.5 kg object through a vertical distance of approximately 29.03 meters.
To calculate the energy required to lift a 2.5 kg object through a vertical distance, we need to consider the gravitational potential energy formula:
Potential energy (PE) = mass (m) × gravity (g) × height (h)
Where:
m = 2.5 kg (mass of the object)
g = 9.8 m/s² (acceleration due to gravity on Earth)
h = ? (height)
First, let's find the height (h) by rearranging the formula:
h = PE / (m × g)
Now, let's calculate the potential energy (PE) needed to lift the object. We are given that the power of the bulb is 0.20 kW, and we want to find the energy required for one minute. To convert kilowatts (kW) to joules (J), we multiply by the conversion factor of 3,600 (60 seconds × 60 minutes):
Energy (E) = power (P) × time (t)
E = 0.20 kW × 1 min × 3,600 J/kW
Now, we can substitute the values into the equation to find the height:
h = (0.20 kW × 1 min × 3,600 J/kW) / (2.5 kg × 9.8 m/s²)
Calculating the expression on the right side:
h ≈ 0.20 × 1 × 3,600 / (2.5 × 9.8) ≈ 29.03 meters (rounded to two decimal places)
Therefore, the amount of energy needed to power a 0.20 kW bulb for one minute would be just sufficient to lift a 2.5 kg object through a vertical distance of approximately 29.03 meters.
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An object falling from a great height in Earth's atmosphere eventually reaches a speed called Terminal velocity. What cause a falling object to stop increasing in speed once it reaches terminal velocity? Really struggling, I need an answer--quick. Which letter is correct and why please?
A. Its mass and weight have become equal
B. It has no more potential energy
C. No forces are acting on it any longer
D. The forces acting on it are balanced
Answers
Answer:
A.
Explanation:
If its at a height the Gratitude of it falling down with only Gravity if Any other Forces are acting on it so as Friction But Sideways.
how much work does a man perform on a lawnmower if he applies 25 N of force to push it 100 meters
Answers
\(\\ \sf\longmapsto Work\:Done=Force\times Displacement\)
\(\\ \sf\longmapsto Work\:Done=25(100)\)
\(\\ \sf\longmapsto Work\:Done=2500J\)
Explanation:
Solution,
Given:-
Force applied (F)=25 NDistance travelled (S)=100mBy the formula of work, we have
W=F×SW=25×100W=2500 JSo, the work done is 2500 J.
What is the component of the trucks weight parallel to the hill
Answers
Answer:
Below
Explanation:
It will be m * g * sin (angle of hill) You will need to put in the numbers for 'm' and sin (angle) and g = 9.81 m/s^2
A box with a mass of 0.5 slugs lies on an inclined plane making an angle of 30o with the horizontal. If the coefficient of kinetic friction between the box and the plane is 0.4, what is the magnitude of the force that must be applied parallel to the incline to keep the box moving down the incline at a constant speed
Answers
Answer: 10.98 N
Explanation:
Given
mass of box is \(m=0.5\ slugs\approx 7.3\ kg\)
The coefficient of kinetic friction is \(\mu= 0.4\)
It is given that on the application of force box started moving with constant speed i.e. there is no net external force
\(\Rightarrow F+mg\sin 30^{\circ}=\mu mg\cos 30^{\circ}\\\Rightarrow F=mg(\mu \cos 30^{\circ}-\sin 30^{\circ})\\\Rightarrow F=7.3\times 9.8(0.866\times0 .4-0.5)=-10.98\ N\\\)
The negative sign indicates direction of force is opposite i.e. it must be applied upwards