Answer:
change in kinetic energy of the trolley is 53.91 J.
Explanation:
mass of the trolley, m = 5.0 kg
initial velocity of the trolley, u = 1.0 m/s
external force on the trolley, F = 25 N
time of force action, t = 0.75 s
The final velocity of the trolley at the end of 0.75 s is calculated as follows;
\(F = \frac{m(v-u)}{t} \\\\25 = \frac{5(v-1)}{0.75}\\\\5(v-1) = 18.75\\\\v-1 = \frac{18.75}{5} \\\\v-1 = 3.75\\\\v = 4.75 \ m/s \ in \ the \ direction \ of \ the \ applied \ force\)
The change in kinetic energy of the trolley is calculated as;
Δ K.E = ¹/₂m(v² - u²)
Δ K.E = ¹/₂ x 5(4.75² - 1²)
Δ K.E = 53.91 J.
Therefore, change in kinetic energy of the trolley is 53.91 J.
A 0.14 kg ball is dropped from a height and hits the ground at a velocity of -9 m/s (the negative sign shows the downward direction of the ball's motion). After
touching the ground for a short period of time, the ball bounces back at a velocity of +8.5 m/s. What is the impulse on the ball due to the floor?
Answer:
Impulse = Δp = 2.45 kg m/s
Explanation:
Impulse = change in momentum = final momentum - initial momentum
The initial momentum of the ball before hitting the ground is given by:
m * v_i = 0.14 kg * -9 m/s = -1.26 kg m/s
The final momentum of the ball after bouncing back is given by:
m * v_f = 0.14 kg * 8.5 m/s = 1.19 kg m/s
So the change in momentum is:
Δp = v_f - v_i = 1.19 kg m/s - (-1.26 kg m/s) = 2.45 kg m/s
Impulse = Δp = 2.45 kg m/s
define standard atmospheric pressure
Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kPa or 1 atm and serves as a reference point for scientific measurements and comparisons related to atmospheric pressure.
Standard atmospheric pressure is the average pressure exerted by the Earth's atmosphere at sea level under normal conditions. It is defined as 101.325 kilopascals (kPa) or 1 atmosphere (atm). This pressure is used as a reference point for various scientific measurements and is crucial in fields such as meteorology, physics, and engineering.
Atmospheric pressure is caused by the weight of the air above a given point on the Earth's surface. The air is composed of molecules, mainly nitrogen (approximately 78%) and oxygen (approximately 21%), along with other trace gases. These molecules are in constant motion and exert a force on the surfaces they come into contact with, including the Earth's surface.
The standard atmospheric pressure of 101.325 kPa is equivalent to the pressure exerted by a column of mercury 760 millimeters (mm) in height in a barometer at sea level. This measurement was established as a reference point for atmospheric pressure, providing a consistent value for scientific calculations and comparisons.
It is important to note that atmospheric pressure can vary with altitude and weather conditions. As altitude increases, the atmospheric pressure decreases because the column of air above becomes thinner. In areas of high or low pressure systems associated with weather patterns, the atmospheric pressure deviates from the standard value.
The standard atmospheric pressure is a valuable reference in many applications. For instance, it is used as a standard for measuring gas pressure in laboratories and industrial processes. It is also used in meteorology to calculate and compare pressure systems and to study atmospheric phenomena such as wind patterns and weather changes.
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Final Answer:
If there is lower air pressure being "pushed" onto the surface of the water, then the water molecules do not need as much energy to overcome the force of atmospheric pressure pushing on the surface, and they can more easily escape and become a vapor. When the vapor pressure of the liquid is equal to the air pressure surrounding the liquid, it will boil. If you lower the air pressure, you will lower the temperature that water will boil at.
Explanation:
The boiling point of a liquid depends on the balance between the vapor pressure of the liquid and the external pressure, which is typically atmospheric pressure. When the external pressure is reduced, such as at higher altitudes or in a vacuum, the liquid molecules require less energy to escape the surface and become vapor. This is because there is less force pushing down on the liquid's surface, allowing for easier vaporization.
At lower air pressure, the water molecules can overcome the diminished force of atmospheric pressure more readily, requiring less heat energy to transition from liquid to vapor. When the vapor pressure of the liquid equals the surrounding air pressure, the liquid will start to boil.
Boiling point and vapor pressure are fundamental concepts in thermodynamics and phase transitions. Understanding how pressure affects the boiling point of liquids is crucial in various scientific and engineering applications, such as cooking, chemical processes, and high-altitude cooking.
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Does a series connection between capacitors always result in equal amount of charge being stored in each capacitor
Answer:
Yes - If a charge of +Q is removed from one side of a battery, a charge of -Q must be removed from the other side of the battery, the charges on the intervening capacitors are likewise equal.
a plane files from point a to point b. b is 1207 km west 957 km south a. sketch a picture of this situation. what is the total displacement of the plane
The closest distance and angle to this question are 1540.35 kilometers and 38.4 ° S. (depending on how you rounded).
What is Displacement and distance are they equivalent?There is a common misconception that distance & displacement are simply two different terms for the same thing. But separation separates the concepts of distance and displacement. The total distance covered by an object is always larger than the movement between those two sites, even if it changes direction throughout the course of its voyage.
The displacement is which one, which?The smallest (straight line) length between a body's starting position and its final location—represented by an arrow pointing from starting spot to final position—is referred to as a brain's displacement when it moves through one position to another.
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A 6 kg blue ball rolls across the ground and collides with a stationary 1 kg red ball.
Before the collision the blue ball moved right with a speed of 4 m/s, and after the
collision it moved left with a speed of 1 m/s. If the red ball was not moving before the
collision, how fast is it moving after the collision?
The final velocity of the red ball is 18 m/s.
What is momentum?The term momentum has to do with the product of the mass and the velocity of an object We know that the momentum is always conserved in accordance with the Newton third law. Also it is clear that the momentum before collision is equal to the total momentum after collision and we are going to apply this principle here.
Then;
Mass of the blue ball = 6 kg
Mass of the red ball = 1 kg
Initial velocity of the blue ball = 4 m/s
Initial velocity of the red ball = 0 m/s
Final velocity of the red ball = ??
Final velocity of the blue ball = 1 m/s
We now have;
(6 * 4) + (1 * 0) = (1 * v) + (6 * 1)
24 = v + 6
v = 24 - 6
v = 18 m/s
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what is the potential energy the greatest in a roller coaster
Answer:
Gravitational potential energy is the greatest
Explanation
It is the highest point of a roller coaster.
What is true about the requirements of your academic care plan
Care plans are a technique to approach academic tasks strategically and make them run more quickly. They also make it possible for an academic team to communicate effectively.
A nursing care plan's goal is to list the patient's needs, preferences, and the nursing interventions (or implementations) that are planned to address those goals.
The care plan is intended to guarantee continuity of care and is kept as a part of the patient's medical file.
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Exercising helps reduce?
Answer:
stress,depression and anxiety by improving self esteem.
As part of a carnival game, a 5.00 kg target is freely hanging from a very long and very light wire. Contestants can use one of two 1.5 kg balls to try to hit the target and deflect it high enough to win a prize. Ball A will have an elastic collision and bounce back toward you while ball B will have a nearly perfectly inelastic collision, but rather than sticking to the target, the ball will just drop straight downward to the ground after the collision. You can throw each ball with a velocity of 12 m/s. You are the first to try the game and which ball should you throw? Calculate the expected height the target will reach after each is thrown.
Answer:
Height ball A will deflect the target is 2.65 m
Height ball A will deflectthe target is 2.2 m
Ball A, will deflect the target to greater height, thus i will throw ball A
Explanation:
Given;
mass of the target, m₁ = 5.00 kg
mass of the ball, m₂ = 1.5 kg
initial velocity of each throw, u = 12 m/s
Throwing ball A; apply the principle of conservation linear momentum for elastic collision;
m₁u₁ + m₂u₂ = v₁m₁ + v₂m₂
The initial velocity of the target, u₁ = 0
The ball bounced back at the same speed, v₂ = -12 m/s
the velocity of the target after collision, = v₁
0 + 1.5 x 12 = v₁(5) + (-12 x 1.5)
18 = 5v₁ - 18
18 + 18 = 5v₁
36 = 5v₁
v₁ = 36/5
v₁ = 7.2 m/s
The vertical height reached by the target is given by;
v₁² = u₁² + 2gh
v₁² = 0 + 2gh
v₁² = 2gh
h = v₁² / 2g
h = (7.2)² / (2 x 9.8)
h = 2.65 m
Throwing ball B; apply the principle of conservation energy for the inelastic collision;
the kinetic energy of the ball will be converted to the potential energy of the target.
¹/₂m₁u₂² = mgh
¹/₂(1.5)(12)² = (5 x 9.8)h
108 = 49h
h = 108 / 49
h = 2.2 m
Ball A will deflect the target to greater height, thus i will throw ball A.
An ice skater with a mass of 80 kg pushes off against a second skater with a mass of 32 kg. Both skaters are initially at rest. (a) What is the total momentum of the system after they push off? (b) If the larger skater moves off with a speed of 3 m/s, what is the corresponding speed of the smaller skater
A. The total momentum of the system after they push off is zero.
B. m1v1=m2v2
v2=m1v1/m2
v2=80*3.0/32
v2=7.5 m/s
in fact
m1v1=80*3= 240 kgm/s
m2v2= 32*7.5= 240 kgm/s.
A penny board is a type of skateboard characterized by a short, narrow deck made of plastic. If you're on the short side, consider choosing a smaller deck. Smaller decks are easier to operate and control, lighter, and more portable. If you are taller, you should choose a larger deck.
The larger deck gives more stability and power when skating. A big part of being a skater girl is looking like that which means wearing skate-branded shoes and clothes. Other skaters tend to wear these clothes cut to allow the skater's movement. Good skatesHer brands include Vans DC Nike especially basketball lines and Etnies I have.
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2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere
Answer:
Motor cortex
Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).
Explanation:
Jean is generating a wave by woving one end of a rope up and down Z times every second as shown in the diagram. Jean is 3m away from the wall.
1. a. frequency of the wave is = 2 cycles per second.
Wavelength of the wave is = 1.5 m.
2.a. The frequency of the wave is 3 cycles per second.
b, It is a longitudinal wave of wavelength = 40 cm.
What is wave?A wave is an energetic disturbance in a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are some of the possible manifestations.
From picture 1.
1. a. frequency = 2 cycles per second.
Wavelength is = 3 m/2 =1.5 m.
From picture 2.
2.a. As it moves forward and backward 3 times in very second, frequency of it is 3 cycles per second.
b, It is a longitudinal wave of wavelength = 40 cm.
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the material which obey hooke's law is called.....................
The material that obeys Hooke's law is elastic material.
What is Hooke's law all about?Hooke's Law says that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance. And it is known for the formula F = kX
F is the force, x is the deformation, and k is the spring constant.
Elastic materials are able to return to their original shape after being deformed by a force.
The amount of deformation is noted to be directly proportional to the amount of force applied.
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relationship beetween image distance,focal length ,power magnification, for both concave and convex lens.
Answer:
Object distance means what is the distance between pole and object. Image distance means when image is formed then the distance between pole and image is called image distance. Focal length is the distance between pole and the principal focus of the mirror.
A lens is a clear object, usually made of glass or plastic, which is used to refract, or bend light. Lenses can concentrate light rays (bring them together) or spread them out. Common examples of lenses include camera lenses, telescope lenses, eyeglasses, and magnifying glasses. Lenses are often double lenses, meaning they have two curved sides. A convex lens is rounded outward, while a concave lens curves inward. (A great way to remember this is that a concave lens creates an indent like a cave!)
The image distance can be calculated with the knowledge of object distance and focal length with the help of lens formula. In optics, the relationship between the distance of an image (i), the distance of an object (o), and the focal length (f) of the lens are given by the formula known as Lens formula. Lens formula is applicable for convex as well as concave lenses. These lenses have negligible thickness. It is an equation that relates the focal length, image distance, and object distance for a spherical mirror. It is given as,
1/i + 1/o = 1/f
i= distance of the image from the lens
o= distance of the object from the lens
f= focal length of the lens
Explanation:
Hope it is helpful....
Explanation:
image distance is the image between the pole and the image
A jogger takes 30 s to run a total distance of 200 m by running 150 m [E] and then 50 m [W]. (a)
Calculate the jogger’s average speed (b) Calculate the jogger’s average velocity
Answer:
(a) 6.67 m/s (b) 3.33 m/s
Explanation:
if i understood your question correctly, the jogger goes 150m east before going in the opposite direction west for 50m. (see diagram)
in avg speed, we use the total distance (150m + 50m = 200m) and total time (30s)
v = d/t =200/30 =6.67 m/s
in avg velocity, we use the total displacement (150m - 50m = 100m) and total time (30s)
v= d/t = 100/30 = 3.33 m/s
A horse 1 m tall running towards a tree at a constant velocity of 20m/s,
there was a baboon on the tree which is 3m tall, if the baboon falls exactly on
the back of the horse and sped away with baboon at its back.
Calculate
I) how far was the horse from the tree and the time the baboon
falls on the horse.
The horse's position on the ground at time t is
x = (20 m/s) t
The baboon's height from the ground at time t is
y = 3 m - 1/2 g t²
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.
The baboon falls and lands on the horse, so that the two animals meet when the baboon's height is 2 m from the ground, which happens after
2 m = 3 m - 1/2 g t²
1/2 g t² = 1 m
t² = (2 m) / (9.80 m/s²)
t ≈ 0.452 s
In this time, the horse reaches the tree, so its distance from it is
(20 m/s) * (0.452 s) ≈ 9.04 m
Before Collision Consider a system to be one train car moving toward another train car at rest When the train cars collide, the two cars stick together What is the total momentum of the system after the collision? O 800 kg . m/s m, = 600 kg V,= 4 m/s m = 400 kg v2 = 0 m/s 1,600 kg. m/s 0 2,400 kg • m/s 0 4,000 kg . m/s After Collision
Answer:
2,400kg * m/s
Explanation:
You are missing some information in the question but the rest could be found some where else.
The question gives the masses and starting velocity of each car.
Car 1: m = 600kg and sv = 4m/s
Car 2: m 400kg and sv = 0m/s
Find the momentum of both cars.
Car 1: 600 * 4 = 2400
Car 2: 400 * 0 = 0
Add both.
2400 + 0 = 2400
Best of Luck!
Answer: answer C
Explanation:
Your welcome
What is the total charge of barium oxide?
When deciding whether or not something is matter, which question is least useful?
A. Does it take up space?
B. Does it have mass?
C. Is it made from atoms?
D. Is it made of particles?
C. Does it include atoms? is the least helpful inquiry to ask when determining whether or not something is matter because some types of matter, such as photons and neutrinos, do not include atoms but nonetheless display characteristics of matter, such as mass and taking up space.
In order to determine whether or not something is matter, all of the above inquiries are helpful. If we had to pick the least helpful query, though, it would be C. Is it composed of atoms?
This is because of the existence of entities like photons, which are light-related particles, which are thought of as matter but are not composed of atoms. It is crucial to remember that atoms are the fundamental units of matter and that they actually make up the majority of it.
Therefore, even if it might not always be the best question to ask, it is still an important one to take into account when deciding whether or not something is important.
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A car starting at rest accelerates at 3m/s² How far has the car travelled after 4s?
Answer:
24m
Explanation:
you can use the formula
s=ut+1/2at²
s=0+1/2(3)(4)²
=1/2(3)(8)
=24m
I hope this helps
ASAP!!!!!!
An object that has the ability to do work has __________ energy. (4 points)
magnetic
kinetic
potential
electrical
Answer:
kinetic energy
Explanation:
Hope it helps you
what are the very small particles that make up matter
Answer:
The very small particles that make up matter are I) Atoms
Matter - Anything that have mass and occupies space is called matter . it is made up of atoms and molecules
Atoms - The smallest part of matter is called atom.
Molecule - Group of atoms combine together to form a molecule.
More to know - Atom is made up of even smaller particles called neutron, proton and electron. Electron moves around nucleus ( nucleus is made up of neutron and proton) Different types of atom combine and form molecule ( Nitrogen dioxide No2 has 1 atom of nitrogen and 2 atoms of oxygen)Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
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Find the gravitational potential energy of an 85kg person, standing atop Mt. Everest, at an altitude of 8848m. Use sea level as the location for y=0.
Explanation:
Gravitational potential energy
= mgh
= (85kg)(9.81N/kg)(8848m)
= 7,377,904.8J.
Mr. Bateman creates a standing wave in the front of the classroom with the spring. S nodes form. The distance from Mr. Bateman to the cabinet is 6m. If a student times the spring moving back and forth and gets 0.2s for one cycle of the spring, how fast are the
waves moving?
Answer:
The speed of a wave is equal to the wavelength divided by the period. The wavelength is the distance between two consecutive nodes, and the period is the time it takes for one complete cycle of the wave.
In this case, the wavelength is 6 m and the period is 0.2 s. Therefore, the speed of the wave is 30 m/s.
The answer is 30 m/s.
Explanation:
If a car with a mass of 1,200 kg traveling westward at 30 m/s is
slowed to a stop in 3 s, then what was the net force acting on
the car?
The net force acting on the car is equal to -12000 Newton.
Given the following data:
Mass = 1,200 kgInitial velocity = 30 m/s.Final velocity = 0 m/s (since the car came to a stop).Time = 3 seconds.To determine the net force acting on the car:
How to calculate the net force.Mathematically, the net force acting on the car is given by Newton's Second Law of Motion:
\(F = \frac{m(v\;-\;u)}{t}\)
Where:
m is the mass.t is the time.u is the initial velocity.u is the final velocity.Substituting the given parameters into the formula, we have;
\(F = \frac{1200 \times (0\;-\;30)}{3}\\\\F = \frac{1200 \times (-30)}{3}\\\\F = \frac{-36000 }{3}\)
Net force = -12000 Newton.
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Which of the following solutions contains the smallest total concentration of ions, assuming complete dissociation?
a) 2 M AI2(SO4)3
b) 2 M AICl3
c) 2 M NaCl
d) 2 M CaCl2
The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulphate.
What is concentration?Concentration in chemistry is defined as the abundance of an ingredient divided by the total volume of a combination. There are four sorts of mathematical descriptions: mass concentration, molar concentration, number concentration, and volume concentration. The amount of a material, such as salt, that is present in a certain amount of tissue or liquid, such as blood. When there is less water present, a material becomes more concentrated. When a person does not drink enough water, the salt in his or her urine may become more concentrated. A substance's concentration is the amount of solute contained in a given amount of solution. Molarity is the number of moles of solute in one liter of solution and is used to express concentrations.
Here,
The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulfate.
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QUESTION 2
How do plants help in erosion control?
1.Plants roots hold the soil in place.
2.Plants are pretty and keep the neighborhood from being ugly.
3. Plants do not help in erosion control.
4. Plants allow the soil to float in the rainwater.
Answer:
1.Plants roots hold the soil in place.
A car Excel accelerates from rest to a velocity of 5 m/s in 4 seconds. What is its average acceleration over this period of time
Answer:
1.25
Explanation:
acceleration = velocity÷time
Answer:
Its acceleration is 1.25 meters/second2
Explanation:
The car's average acceleration would be 1.25m/s^2 or 1.25meters/second/second. That looks to be the fourth one you've listed.
which statement did Ernest Rutherford make about atoms?
Answer:
Option A
Explanation:
Ernest Rutherford concluded that the atom has a small, dense center which constitutes the mass of the whole atom. He called it a "Nucleus". He also said that most of the space in the atom is empty.