he difference between mass and weight. *
A 5.0 kg crate slides down a smooth ramp that is elevated at an angle of 38 degrees. The length of the ramp is 2.0 m. What will be the speed of the crate at the bottom of the ramp?
Answer:
0.0337 J or 33.7 mJ
Explanation:
PEspring = ½ kx = 0.5 A 55.0 N/m A (0.0350 m) = 0.0336875 J = 2 2
state the law of the conservation of mechanical energy
Answer:
The law of the conservation of mechanical energy states that the total mechanical energy of a closed system remains constant, unless there is work done by non-conservative forces or heat transfer to or from the system.
In other words, the law states that the sum of the kinetic energy (energy of motion) and potential energy (energy due to position) of a system remains constant as long as there are no non-conservative forces acting on the system. Non-conservative forces are forces that dissipate energy, such as friction and air resistance. If these forces are present, they will convert some of the mechanical energy of the system into other forms of energy, such as heat or sound.
For example, if you lift a book off the ground, you are doing work on the book, which increases its potential energy. At the same time, the kinetic energy of the book decreases, because it is not moving. If you then release the book, it will fall to the ground, converting its potential energy back into kinetic energy. If there are no non-conservative forces present, the sum of the kinetic energy and potential energy of the book will remain constant throughout this process. This is an example of the conservation of mechanical energy in action.
The law of the conservation of mechanical energy states that the total mechanical energy of an isolated system remains constant, unless external forces are present. This means that the sum of the kinetic energy and potential energy within the system will remain constant over time, unless the system is subjected to external forces such as friction or gravity. This law is based on the principle that energy cannot be created or destroyed, but rather it can only be transferred or transformed. Therefore, any changes in the mechanical energy of a system must be due to the transfer or transformation of energy from one form to another, rather than the creation or destruction of energy itself.
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What does the amplitude of sound refer to?
the sound’s volume
the sound’s pitch
the sound’s duration
the sound’s frequency
Answer:
2) the sounds pitch
The strength or level of sound pressure
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A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?
Answer:
Decreasing the angle to 10
Explanation:
Edge 2020
A third class lever makes our work easy by
a. magnifying force
b. gaining speed
c. changing the direction of force
d. and, both
Gaining speed and changing the direction of force
A third-class lever makes our work easier by both magnifying force and gaining speed.
Hence, the correct option is D.
In a third-class lever, the effort (force) is applied between the fulcrum and the load. The load is closer to the fulcrum than the effort. This mechanical arrangement allows the lever to amplify the force applied at the expense of the distance the effort has to travel.
By applying a smaller force over a greater distance, a third-class lever can magnify the force applied to the load. Additionally, the increased distance covered by the effort compared to the load's displacement results in a greater speed at the load's end. So, both force magnification and speed gain are advantages of a third-class lever, making our work easier.
Therefore, A third-class lever makes our work easier by both magnifying force and gaining speed.
Hence, the correct option is D.
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Which examples best demonstrate likely tasks for Legal Services workers? Check all that apply.
Cisco inspects an office building to make sure it meets fire safety regulations.
Gina gathers information about a court case.
Saul oversees inmates at a correctional facility.
Hana interviews and advises a person who has been accused of a crime.
Pamela pursues and arrests a person suspected of a crime.
Dewayne creates the paperwork for a business contract.
Answer:
b. d. f.
Explanation:
Got it right on Edge
Answer:
2. Gina gathers information about a court case.
4. Hana interviews and advises a person who has been accused of a crime.
6. Dewayne creates the paperwork for a business contract.
At time t=0, a particle is located at the point (3,8,8). It travels in a straight line to the point (8,9,4), has speed 7 at (3,8,8) and constant acceleration 5i+j−4k. Find an equation for the position vector r(t) of the particle at time t The equation for the position vector r(t) of the particle at lime t is r(t)= (Type exact answers, using radicals as needed.)
The equation for the position vector r(t) of the particle at time t is :r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
Given,Initial velocity, v0= 7 m/s
Final velocity, v = ?
Acceleration, a= 5i + j - 4k
Time, t = ?
Distance between the points, d= √(8 - 3)² + (9 - 8)² + (4 - 8)²
= √25 + 1 + 16
= √42 m
We know that,v = v0 + at
On substituting the given values in the above equation, we get,
7 + a×t = v
⇒ v = 7 + (5i + j - 4k)×t
Now, the equation of motion can be given by the following equation,r(t) = r0 + v0t + 1/2at²
Here,r0 = (3i + 8j + 8k) is the initial position of the particle
On substituting the given values in the above equation, we get,
r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
Hence, The particle's location vector at time t is represented by the equation:r(t) = 3i + 8j + 8k + (7i + 0j + 0k)t + (5/2i + 1/2j - 2k)t²
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A ball is thrown upward.
What is its initial vertical speed? The acceleration of gravity is 9.8 m/s and maximum height is 5.9 m, Neglect air resistance.
Answer in units of m/s.
Answer:
It is 10.75
Explanation:
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution. Minutes Relative Frequency 3 .14 4 .30 5 .27 6 .18 7 .11 Answer the following questions: Be sure to include files containing all work to receive full credit.
A. Compute the mean drying time?
B. Using these random numbers, simulate the drying time for 12 processes. .33 .09 .19 .81 .12 .88 .53 .95 .77 .61 .91 .47
C. What is the average drying time for the 12 processes you simulated?
A. Mean drying time = 4.82 minutes
B. Simulated drying times: 3, 3, 4, 3, 4, 6, 5, 7, 7, 5, 7, 5
C. Average drying time for the 12 simulated processes = 5.33 minutes
A. To get the mean drying time, multiply each drying time by its relative frequency and add the products.
Mean = (3 * 0.14) + (4 * 0.30) + (5 * 0.27) + (6 * 0.18) + (7 * 0.11)
Mean = 0.42 + 1.20 + 1.35 + 1.08 + 0.77
Mean = 4.82
B. We can match each random number with its drying time to replicate 12 operations. If the random number is less than 0.14, drying takes 3 minutes. Repetition for all 12 random numbers.
Simulation drying times: 3, 4, 3, 4, 6, 5, 7, 5, 7, 5
C. Add the drying times and divide by 12 to determine the average drying time for the 12 simulated operations.
Average: (3+3+4+3+4+6+5+7+7+5+7+5) / 12 = 64 Average = 5.33
The average drying time for the 12 simulated procedures is 5.33 minutes.
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A river 800 m wide flows at the rate of 5 km/h. A swimmer who can swim at 10km/h instill, wishes to cross the river straight. (i) Along what direction must he strike. (ii) What should be his resultant velocity? (iii) How much time he would take?
The swimmer would take 258 seconds, or 4 minutes and 18 seconds, to cross the river.
To solve this problem, we can use vector addition to find the swimmer's resultant velocity.
(i) Along what direction must he strike?
Let's draw a diagram to represent the situation:
A
/|
/ |
/ |
/ |
B----C
In this diagram, the river flows from point A to point B, and the swimmer wants to cross the river from point C to point B. Let's call the velocity of the river Vr = 5 km/h and the velocity of the swimmer Vs = 10 km/h. We want to find the direction the swimmer should strike to cross the river straight.
Since the swimmer wants to cross the river straight, he needs to swim in a direction perpendicular to the river's flow. This means that the angle between the swimmer's velocity and the river's velocity should be 90 degrees.
Using trigonometry, we can find that the angle between the swimmer's velocity and the direction perpendicular to the river's flow is:
theta = arctan(Vr / Vs)
= arctan(5 / 10)
= 26.57 degrees
Therefore, the swimmer should strike at an angle of 26.57 degrees to the direction perpendicular to the river's flow.
(ii) What should be his resultant velocity?
To find the swimmer's resultant velocity, we need to add his velocity to the velocity of the river. Since the swimmer is swimming at an angle of 26.57 degrees to the direction perpendicular to the river's flow, we need to use vector addition to find his resultant velocity:
Vs
/|
/ |
/ |Vr
/ |
B----C--->river flow
Using trigonometry, we can find that the magnitude of the swimmer's resultant velocity is:
V = sqrt(Vs^2 + Vr^2)
= sqrt(10^2 + 5^2)
= 11.18 km/h
To find the direction of the swimmer's resultant velocity, we can use the following formula:
theta = arctan(Vr / Vs)
= arctan(5 / 10)
= 26.57 degrees
Therefore, the swimmer's resultant velocity is 11.18 km/h at an angle of 26.57 degrees to the direction perpendicular to the river's flow.
(iii) How much time would he take?
To find the time the swimmer would take to cross the river, we can use the following formula:
time = distance / velocity
The distance the swimmer needs to cross the river is the width of the river, which is 800 m. The swimmer's velocity is 11.18 km/h, or 3.1 m/s.
time = 800 / 3.1
= 258 seconds
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Think about the force that causes a planet to orbit the Sun and the direction of this
force. How does a puck swung by a string on the table relate to a planet orbiting the
Sun? What forces are acting on the puck and what forces are acting on the planet
Answer:
1) For the swung puck tied to the string that has a mass m₁ and having another mass m₂ attached to the string that passes through a hole in the table, such that m₂ > m₁
The swung puck rotating on the table is kept in the circular motion on the table by the centripetal force acting towards the center of its rotation along the string, which is given by the amount the weight of m₂ exceeds m₁, in the same way a planet moving around the Sun is kept in its orbit by the gravitational attraction between the planet and the Sun.
2) i) The forces acting on the puck are;
a) The centripetal force in the string, acting inward, towards the center of rotation provided by the weight of m₂
b) The centrifugal force of the puck, acting outward, tending to continue its motion in a straight line
ii) The forces acting on the planet are;
a) The force of gravitational attraction between the planet and the Sun, acting towards the Sun, such that, the planet revolves around the Sun
b) The centrifugal force of the planet, acting outward, tending to move in a linear or straight path
Explanation:
Forces on Puck Swung
Centrifugal Force (Outwards from puck swung )
Tension( Towards the center)
Forces on the Planet
Centrifugal Force (Outwards from Planets )
Gravitational Force ( Inwards towards Sun )
Let us suppose that the
The puck swung is connected with a center at a distance of radius r
so it is revolving around the point just like planets revolve around the Sun.
The Centrifugal Force and Gravitational Force causes the planetary motion around the sun.
The Centrifugal force is an outward force and is observed from the accelerated frame of reference , In our case Planet and puck swung are the accelerated frame of references.
The Gravitational Force between the Sun and the planets (directed towards Sun) is balanced by Centrifugal Force.
Let us consider that the string of puck swung has negligible mass
So the Tension which is directed towards the center will provide the force to counterbalance the centrifugal force acting on puck swung.
So Tension will act towards the center in case of puck swung and centrifugal force will act outwards.
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A skier with a mass of 49.1 kg stands on top of a hill at a height of 14.7 m. What is her gravitational potential energy?
Formula for Gravitational Potential Energy:
\(GPE=mgh\)
Gravitational potential energy(measured in joules) = mass(measured in kg) * acceleration(measured in 9.8 m/s^2 due to gravity) * height(measured in meters)
__________________________________________________________
Given:
\(m=49.1kg\)
\(h=14.7m\)
\(g=9.8m/s^2\) (due to gravity)
\(GPE=?\)
__________________________________________________________
Finding Gravitational Potential Energy:
\(GPE=mgh\)
\(GPE=49.1\times9.8\times14.7\)
__________________________________________________________
Answer:
\(\fbox{7073.346 Joules}\)
A h-atom is in an excited state represented by a dot. What are the possible energies of emitted photons?.
The possible energy of the emitted photons of the hydrogen atom in first energy level is -3.41 eV.
Energy of emitted photons of hydrogen atomsHydrogen atom will emit electrons of certain energy when the hydrogen atom is in excited state.
Let a dot represent first energy level, the possible energy of the emitted photons is calculated as follows;
\(E = \frac{R_h}{n^2} \\\\E = \frac{-2.18 \times 10^{-18}}{(2)^2} \\\\E = - 5.45 \times 10^{-19} \ J\)
\(E = \frac{-5.45 \times 10^{-19}}{1.6 \times 10^{-19}} \\\\E = -3.41 \ eV\)
Thus, the possible energy of the emitted photons of the hydrogen atom in first energy level is -3.41 eV.
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which equation correctly represents the gravitational potential energy of a system?
Answer:ME= 1\2mv^2 + mgh
Explanation: I hope this helped.
The correctly represents the gravitational potential energy of a system is = - ΣGM₁M₂/R. Negative sign appears as gravitational force is attractive force.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy. It is capable of performing more work when raised.
Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has more potential energy as they become further apart.
Potential energy of a system of particles can be represented as summation of individual's potential energy. Hence, the correctly represents the gravitational potential energy of a system is = - ΣGM₁M₂/R.
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An 856 kg drag race car accelerates from rest to 105 km/h in .934s. What change in momentum does the force produce? Answer in units of kg • m/s
Part 2: what average force is exerted on the car? Answer in N
Hello!
Topic: Dinamic
Value to calculate: Force
First, we have to calculate the aceleration, for that, lets aplicate the formula:
\(\boxed{a=\frac{V-Vi}{t} }\)
How the final velocity is in km/h, we have to convert it on m/s, so:
m/s = km/h / 3,6
m/s = 105 / 3,6
m/s = 29,16
Then, lets replace formula according problem information:
\(a = \dfrac{29,16m/s-0m/s}{0,934s}\)
\(a =31,22\ m/s^{2}\)
Now, how we have the aceleration, lets applicate second law of newton for calculate the force produced:
\(\boxed{F=ma}\)
Replace and resolve it:
F = 856 kg * 31,22 m/s^2
F = 26724,32 kg * m/s^2
Then the force is of 26724,32 kg * m/s^2
But how we know an 1 kg * m/s^2 = 1 N
Then the average of the force is of 26724,32 N
(1) The change in momentum of race car is 89880 kg-km/h.
(2) The average force exerted on the car is of 96231.26 N.
Given data:
The mass of race car is, m = 856 kg.
The initial speed of car is, u = 0 km/h.
The final speed of car is, v = 105 km/h.
The time interval is, t = 0.934 s.
1)
The change in the impact due to average force is known as momentum change. The expression for the change in momentum is given as follows,
\(\Delta P = m(v-u)\)
Solving as,
\(\Delta P = 856 \times (105-0)\\\\\Delta P = 89880 \;\rm kg.km/h\)
Thus, we can conclude that the change in momentum of race car is 89880 kg-km/h.
2)
Now, use the concept of impulse-momentum which says that the impulse is equal to change in momentum. Which means,
\(I = \Delta P\)
And impulse is,
\(F \times t = \Delta P\\\\F = \dfrac{\Delta P}{t}\)
Solving as,
\(F = \dfrac{89880}{0.934}\\\\F = 96231.26 \;\rm N\)
Thus, we can conclude that the average force exerted on the car is of 96231.26 N.
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How to get the radius from the circumference?
Answer:
The equation Pi = c/2r means that Pi (r) = c/2, so r = c / (2 Pi). The radius of a circle is therefore equal to c / (2 Pi), where c is the circumference of the circle.
Explanation:
Can anyone please explain this point with an example. I have presentation tomorrow.
Energy efficiency can either be achieved by either reducing the quantity of energy consumption to produce certain amount of products or producing increased number of products from the same quantity of energy.
Explanation:
Efficiency is a way of describing the amount of useful output a process or machine can generate as a percentage of the input required to make it go. In other words, it compares how much energy is used to do work versus how much is lost or wasted to the environment. The more efficient the machine, the less energy wasted.
For example, if a heat engine is able to turn 75 percent of the fuel it receives into motion, while 25 percent is lost as heat in the process, it would be 75 percent efficient. Out of the original 100 percent of the fuel, 75 percent was output as useful work.
the equation:
energy efficiency =useful output energy/total input energy
It takes 3 minutes for Ann to run 800 meters without sandbags. If Ann runes 800 meters with sandbags it will take 2 more minutes. What is the speed for running with sandbags?
Ann's speed with sandbags is 400 meters in 5 minutes, or an average of 80 meters per minute.
In everyday use and in kinematics, the speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.There are four types of speed which are uniform speed, variable speed, average speed, and instantaneous speed.
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As the mass of an object increases, the weight of the object will ______?
Answer:
also increase
Explanation:
If the mass increases so will the weight.
If a spaceship approaches you at 0.5c, and a light on the spaceship is turned on pointing in your direction, how fast will the light be traveling when it reaches you?
Answer:
I'm pretty sure the speed of light is a constant so I my hypothesis is that the light will be travelling at *c*
The ramp is used to lift a heavy load
Which type of resources do we have a limited supply of?
Explanation:
The resources that we value—time, money, labor, tools, land, and raw materials—exist in limited supply. There are simply never enough resources to meet all our needs and desires.
Explanation:
Time, money, labor, land , and raw materials
Is mechanical energy the result of both kinetic and potential energy?
Answer:
Yes
Explanation:
Because putting them together would make a type of energy making the answer yes
Using my raw survival instincts, I am trying to catch a trout from a stream with my bare hands. Despite my exceptional reflexes I continually miss the fish even though I can see them clearly. Which wave behavior explains why I cannot catch a trout? reflection absorption transmission refraction
Answer:
refraction
Explanation:
Complete each of the following parts and show your work: a.) Draw the electric field around a +3.0 × 10–5 C point source charge. Draw the field lines and indicate their direction. Draw two different equipotential lines. b.) Calculate the force between a +6 µC test point charge and this source charge at a distance of 3.00 cm. (µC = 1.0 × 10–6 C) c.) If the test charge were moved closer to the source charge, would the change in its potential energy be positive, negative or zero? Explain.
a) Electric field lines radiate outward from the positive charge, and equipotential lines are concentric circles around the charge.
b) The force between the test charge and the source charge is 5.4 N.
c) The change in potential energy would be negative if the test charge is moved closer to the source charge.
a) To draw the electric field around a +3.0 × \(10^-^5\) C point source charge, we can use the principle that electric field lines radiate outward from positive charges. The density of field lines represents the strength of the electric field. Here is a visual representation:
```
+
|
|
---+---
|
|
```
The "+" symbol represents the positive point source charge, and the lines radiating outward represent the electric field lines. The direction of the field lines is away from the positive charge, indicating the direction of the electric field.
For the equipotential lines, we can draw two concentric circles around the point charge. The distance between the circles represents a constant potential difference.
```
---
| |
| |
| |
---
```
b) To calculate the force between the +6 µC test point charge and the +3.0 × 10–5 C source charge, we can use Coulomb's Law:
\(\[ F = \frac{{k \cdot q_1 \cdot q_2}}{{r^2}} \]\)
where F is the force, k is the electrostatic constant (approximately 9 × 10^9 N·m^2/C^2), q1 and q2 are the charges, and r is the distance between the charges.
Substituting the given values:
\(\[ F = \frac{{(9 \times 10^9 \, \text{N} \cdot \text{m}^2/\text{C}^2) \cdot (6 \times 10^{-6} \, \text{C}) \cdot (3 \times 10^{-5} \, \text{C})}}{{(0.03 \, \text{m})^2}} \]\)
Simplifying the equation:
\(\[ F = 5.4 \, \text{N} \]\)
Therefore, the force between the test charge and the source charge at a distance of 3.00 cm is 5.4 N.
c) If the test charge were moved closer to the source charge, the change in its potential energy would be negative. This is because the potential energy of a test charge in the presence of an electric field is given by the equation:
\(\[ U = q \cdot V \]\)
where U is the potential energy, q is the charge, and V is the electric potential. As the test charge approaches the source charge, the electric potential increases due to the increased influence of the source charge. Since the test charge is positive, a decrease in potential energy corresponds to a negative change.
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A stone propelled from a catapult with a speed of 50m|s attains a height of 100m. Calculate:
a) the time taken
(b) the angle of projectile
(c) the range attained
For the projectile motion of the stone a) The time taken T = 9.04s b) the angle of the projectile = 62.31° c) the Range attained R = 209.923m
A stone propelled from a catapult is an example of projectile motion.
Given, the initial velocity of the stone u = 50 m/s; This initial velocity with which the stone is thrown has two components 1) vertical \(u_{y}\) = u sinθ along the Y axis and 2) horizontal \(u_{x}\)=u cosθ along the X axis
where θ is the angle of projection
maximum vertical displacement or height attained by stone = H
(Use sign convention +ve for upwards and -ve for downwards)
a) equation for the maximum vertical height reached by a body during projectile motion \(H=\frac{u^{2} sin^{2}\theta }{2g}\) (1)
equation for the time of flight of projectile motion \(T=\frac{2usin\theta}{g}\) (2)
Given H = displacement in the y direction = height attained = 100m
u = initial velocity = 50m/s ; acceleration due to gravity g =9.8 m/\(s^{2}\)
using equation (1)
\(100=\frac{50^{2}sin^{2}\theta }{2*9.8}\)
⇒\(sin^{2} \theta= \frac{100*2*9.8}{50^{2} }\)
⇒sinθ\(=\sqrt{\frac{10*2*9.8}{50^{2} } }\)
⇒sinθ = 0.885437
⇒θ = \(sin^{-1} (0.885437)\)
⇒θ = 62.31°
Hence from equation (2) time of flight
\(T=\frac{2*50*sin\theta}{9.8}\)
⇒\(T=\frac{2*50*0.885437}{9.8}\)
⇒T = 9.04 s
Time is taken T =9.04s
b) Angle of projectile θ = 62.31°
c) The range attained \(R=\frac{u^{2}sin2\theta }{g}\)
⇒\(R = \frac{50^{2}sin(2*62.31)}{9.8}\)
⇒R = \(\frac{50^{2}*0.8229}{9.8}\)
⇒R= 209.923m
horizontal range attained R= 209.923m
Components of a projectile motion:
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Which statement correctly describes plastic?
A. It has a low resistivity and allows charges to move freely.
B. It has a high resistivity and prevents charges from moving freely.
C. It has a high resistivity and allows charges to move freely.
D. It has a low resistivity and prevents charges from moving freely.
Answer:answer is B
Explanation:
When a wave passes from a less dense medium to a denser one, most of the
wave energy is
A. reflected.
B. diffracted.
C. absorbed.
D. refracted.
Answer:
D. Refracted
Explanation:
At the point when light passes from a less thick to a more thick substance, (for instance passing from air into water), the light is refracted (or bowed) towards the ordinary. The bowing happens on the grounds that light voyages all the more gradually in a denser medium. The answer is D, refracted.
A chemist is likely to do which of the following
Answer:
I need to see the answer choices firsts silly
Explanation:
I need to see the answer choice firsts in order to answer because it can be many different answers