A 15.0 kg crate, initially at rest, slides down a ramp 2.0 m long and inclined at an angle of 20.0° with the horizontal. Using the work-kinetic energy theorem and disregarding friction, find the
velocity of the crate at the bottom of the ramp. (g = 9.81 m/s?)

Answers

Answer 1

The component of the crate's weight that is parallel to the ramp is the only force that acts in the direction of the crate's displacement. This component has a magnitude of

F = mg sin(20.0°) = (15.0 kg) (9.81 m/s^2) sin(20.0°) ≈ 50.3 N

Then the work done by this force on the crate as it slides down the ramp is

W = F d = (50.3 N) (2.0 m) ≈ 101 J

The work-energy theorem says that the total work done on the crate is equal to the change in its kinetic energy. Since it starts at rest, its initial kinetic energy is 0, so

W = K = 1/2 mv ^2

Solve for v :

v = √(2W/m) = √(2 (101 J) / (2.0 m)) ≈ 10.0 m/s


Related Questions

PLEASE HELP WITH THIS QUESTION

What of Newton's 3 laws is represented in this picture?​

Answers

Answer:

The first law states that an object at rest will stay at rest, and an object in motion will stay in motion unless acted on by a net external force. Mathematically, this is equivalent to saying that if The second law states that the rate of change of momentum of a body over time is directly proportional to the force applied, and occurs in the same direction as the applied force. the net force on an object is zero, then the velocity of the object is constant. The third law states that all forces between two objects exist in equal magnitude and opposite direction: if one object A exerts a force FA on a second object B, then B simultaneously exerts a force FB on A, and the two forces are equal in magnitude and opposite in direction

Explanation:

5. A wire, resistance 23.6 carries a current. 5.9 A. What is the
potential difference across the wire?
a. V = 139 V
c. V=4V
b. V = 17.7 V
d. V = 0.25 V

Answers

Answer:

d

Explanation:

Answer:

B

Explanation:

Amelia is doing an experiment in which she is
going to burn various solid chemicals to see the
colors of flames they produce. For this laboratory
experiment, what types of safety precautions
should she take?
tie hair back
leave open flame unattended to get a drink
only burn the amount of chemicals as
directed by the lab procedure
put out the flame with water from the eyewash
station

Answers

Answer:

tie hair back

only burn the amount of chemicals as

directed by the lab procedure

Explanation:

The correct safety precautions for Amelia to take from the options would be to tie her hair back and to only burn the amount of chemicals recommended by the lab procedure.

With her hair left flowing freely, Amelia runs the risk of the hair catching flame while trying to burn the chemicals according to the procedure. Hence, tying her hair up into one neat bunch will limit the risk of it catching fire while working in the lab.

Also, burning less or more than the amount of chemicals recommended by the procedure may be dangerous or hinder Amelia from getting the right result.

Answer:

1,3

Explanation:

just did it

Q) A farmer moves along the boundary of a
square field of side 10 min 40 s .What will
be the magnitude of displacement of the
farmer at the end of 2 minutes 20 seconds
from his initial position?​

Answers

The answer will be 8 because kedks

What is the sum of a systems potential and kinetic energy is equal to?
a. Total Energy
b. Mechanical Energy
c. Thermal Energy
d. Hyper Energy

Answers

Answer:

Explanation:

TE = KE + PE which is total energy available to a system is equal to its potential energy plus its kinetic energy, and that total energy will remain throughout the entire "trip", whatever it might be. So a is your answer.

A 50.0 kg object is moving east at an unknown velocity when it collides with a 60.0 kg stationary object. After collision, the 50.0 kg object is traveling at a velocity of 6.0 m/s 50.0degree N of E and the 60.0 kg object is traveling at a velocity of 6.3 m/s 38degree S of E.

What was the velocity of the 50.0 kg object before collision?

p=m•v is the formula.

Answers

Based on the principle of conservation of momentum,  the velocity of the 50.0 kg object before collision was 13.56 m/s.

What was the velocity of the 50.0 kg object before collision?

The principle of conservation of momentum states that:

momentum before collision = momentum after collisionMomentum = mass * velocity

Momentum before collision:

Velocity of 50.0 kg object = v m/s

Momentum of 50.0 kg object = 50 * v

Momentum after collision:

Velocity of the 50.0 kg object = 6.0 m/s 50.0degree N of E

Velocity of the 60.0 kg object = 6.3 m/s 38degree S of E.

Momentum of 50.0 kg object = 50 * 6 = 300 kgm/s

Momentum of 50.0 kg object = 60 * 6.3 = 378 kgm/s

Total momentum after collision = 678 kgm/s

From the principle of conservation of momentum:

50 kg * v = 678 kgm/s

v = 678 kgm/s / 50 kg

velocity, v = 13.56 m/s

Therefore, the velocity of the 50.0 kg object before collision was 13.56 m/s.

Learn more about conservation of momentum at: https://brainly.com/question/7538238

please helpppp... thank u ❤️​

Answers

Answer:

For Ryan:

[tex]at \: highest \: point : v = 0 \\ velocity = 0 \: {ms}^{ - 1} [/tex]

For the football kicked:

[tex]s = ut - \frac{1}{2} g {t}^{2} \\ for \: range : s = 0 \\ u \sin( \theta) = \frac{gt}{2} \\ t = \frac{2u \sin(\theta) }{g} \\ range(x) = ut \\ x = \frac{ {2u {}^{2} \sin(\theta) }^{} }{g} \\ \frac{50 \times 9.8}{ {2318.9}^{} } = \sin(\theta) \\ \\but \: 0 = u \sin(25) - 2 \times 9.8 \times 50 \\ u = 2318.9 \: {ms}^{ - 1} \\ \theta = 12.2 \degree[/tex]

Answer:

the highest point for the first question is 0 meters per second

the answer for question 2 is 45 degrees

what current flows between a voltage of 120v across a resistance of 30Ω?​

Answers

Answer:

4 amp

Explanation:

From ohm's law,

V=IR

so,

I=V/R

I=120/30

I=4amp ans..

When the surface of a metal is exposed to blue light, electrons are emitted. If the intensity of the blue light is increased (so the light is just brighter), what value will also increase?
A. the maximum kinetic energy of the ejected electrons
B. the number of electrons ejected per second
C. the time lag between the onset of the absorption of light and the ejection of electrons

please help!!!

Answers

So, we know that this question is about photoelectric effect.

What is photoelectric effect?

-Photoelectric effect is a phenomenon where electrons are released from a material whenever an electromagnetic radiation such as light, hits it.

-This phenomenon is first discovered by Heinrich Rudolf Hertz in 1887 whereas Albert Einstein, in 1905, resolved the conflict between the photoelectric effect and Maxwell's electromagnetic wave theory of light.

Now to your question, the intensity of light only determines the number of the electrons released, not their maximum kinetic energy because this are proportional to the light's frequency.

Also, there is no time lag detected between the entry of radiation and the emission of electrons in experiments held.

So, with letter A and C out, we can therefore conclude that the answer for this is Letter B

The correct answer is B: the number of electrons ejected per second

The Einstein photoelectric equation states that;

[tex]KE = hf - hfo[/tex]

Where

KE = kinetic energy of the ejected photo electrons

h = Plank's constant

f = frequency of incident light

fo = threshold frequency.

The kinetic energy of ejected photoelectrons depends on frequency of incident photon and not on the intensity of the incident photon.

However, the number of photoelectrons ejected per second depends on the intensity of the incident blue light.

https://brainly.com/question/9260704

Let's say you cut open a log of wood with an axe, what type of simple machine are you using? Does it matter how sharp it is?

Answers

yes it matters because if it's not sharp it would take all day

Answer:

an axe is a type of machine called a wedge. it does matter how sharp your axe is. if your axe is not sharp then you will have a harder time cutting wood.

Explanation:

How long does it take you to create 200 Watts of power if you use 1000 J of
work?

Answers

Answer:200,000

Explanation:

p=w/t

200=1000/t

t=200*1000

time=200,000

Which of these events is an example of resonance?
A- a bridge collapses due to the overloading of vehicles using it.
B-A baker kneads dough by pounding it repeatedly
C-The sound of teo guitars changes from loud to soft every second
D- An ambulance siren rises and falls in frequency as it passes by you
E-An opera singer breaks a thin glass with only the use of her high frequency voice

Answers

Answer: E- An opera singer breaks a thin glass with only the use of her high frequency voice

Explanation:

Resonance is when a person is able to evoke emotions or when a person is deep in character. It is the ability to evoke memories, images and emotions.

Examples of resonance include old pictures which has emotional attachments, feel voice of a singer etc.

Therefore, the event that is an example of resonance is an opera singer breaks a thin glass with only the use of her high frequency voice.

Q1. What is the mass of a ball that has a kinetic energy of16 J and it is traveling at 4 m/s?
Q2. What is the kinetic energy of a soccer ball which has a mass of 1 kg and is kicked with a velocity of 10 m/s?
Q3.exercise ball is on a table 2 m above the ground. What is the mass of the ball if it has a GPE of 40 ?
Q4.What is the gravitational potential energy (GPE) of a 2 kilogram book that is 20 meter above the ground?

Answers

Answer:

Explanation:

Kinetic Energy has a formula of

[tex]KE=\frac{1}{2}mv^2[/tex] and

Potential Energy has a formula of

PE = mgh. The first 2 problems use the KE formula and the next 2 use the PE formula.

Q1. KE = 16 and v = 4 m/s:

[tex]16=\frac{1}{2}m(4)^2[/tex] and

[tex]\frac{2(16)}{16}=m[/tex] so

m = 2 kg

Q2. mass = 1 kg and v = 10 m/s:

[tex]KE=\frac{1}{2}(1)(10)^2[/tex] so

KE = 50 J

Q3. PE = 40, h = 2, g = 9.8:

40 = m(9.8)(2) and

[tex]\frac{40}{(9.8)(2)}=m[/tex] so

m = 2.0 kg

Q4. mass = 2 kg, g = 9.8 m/s/s, h = 20:

PE = 2(9.8)(20) so

PE = 392 J

**I completely disregarded the rules for sig fig's because your numbers were very inexact**

As an IT technician for your company, you have been notified that the Windows domain does not seem to be functioning properly. Being familiar with domains, you are fairly confident you know what the issue is. But just to be safe, you take the applicable time to gather additional information and to identify what, if anything, has changed.

Which of the following is the BEST next step?

A. Determine the appropriate fix.
B. Create a hypothesis.
C. Implement the fix.
D. Identify what has changed.
E. Gather information.

Answers

Answer: Create a hypothesis

Explanation:

From the information given, information has been gathered and the identification to ascertain if there's a change. Then, an hypothesis has to be created in order to know what the problem is.

One has to carry out some research in order to know what went wrong and should also validate the hypothesis by consulting with ones peers. By doing this, the most likely causes of the issues will be gotten.

A motor has an internal resistance of 12.1 Ω. The motor is in a circuit with a current of
4.0 Amps
What is the voltage?

Answers

Answer:

Explanation:

V = I * R

V = 4 * 12.1 = 48.4 v

why would the planets move in a straight path if there was no gravitational energy from the sun​

Answers

Explanation:

The sun's gravitational force is very strong. If it were not, a planet would move in a straight line out into space. The sun's gravity pulls the planet toward the sun, which changes the straight line of direction into a curve. This keeps the planet moving in an orbit around the sun

Answer and Explanation:

The planets would move in a straight path since there would be no source that will be acting upon them (if the sun wasn't there).

Gravitational pull is the amount of force that an object emits. Due to the Sun having a larger mass and a larger gravitational pull, the planets orbit around it.  

If, for example, a house was bigger than everything, including planets and stuff, those things would orbit around the house.

A real life example is the moon orbiting Earth. The Earth has a greater magnitude and mass, so it is able to pull the Moon.

Right now the Sun is the external force, as its gravitational pull is moving the planets around. IF the sun was to magically disappear, the planets won't follow an orbit anymore, since there isn't a gravitational pull on them. This leads them to going in a straight line for possibly a couple years.

Eventually, the planets will stop going in a straight line and start to orbit each other, leading to the planets eventually crashing.

External Force = Sun's gravitational pull because of bigger mass

The planets themselves were created after the sun (though some minerals were created before the sun, but that's minerals and not the planet entirely). The sun gives the planet's their motion. The planets, however (though I'm not sure about mercury and Venus) are going super fast, fast enough to where they aren't being pulled into the sun, but not fast enough to go out of orbit.

If the sun goes out magically, the planets, actually yes will continue orbit due to them being in that motion at such a fast rate, but eventually when they are supposed to turn again, (like, to another part of the sun), the would go straight. Eventually, the will get into the orbit of something else and start going around that object's orbit, most likely outcome being that they crash.

The excess force from no gravitational pull will make the planets go in a straight path. Since nothing is acting upon it, the planets would move in a straight line. Imagine if you were on those spinning circle things, and then let go. You would go around it for like a second and then go immediately straight in one direction.

#teamtrees #PAW (Plant And Water)

A piece of iron has a mass of 30 g and its volume is 6.2 cm3. What is its density?

Answers

Answer:

Density = 4.84 g/cm³

Explanation:

Given the following data;

Mass = 30 g

Volume = 6.2 cm³

To find the density of the piece of iron;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

[tex]Density = \frac{mass}{volume}[/tex]

Substituting into the equation, we have;

[tex]Density = \frac{30}{6.2}[/tex]

Density = 4.84 g/cm³

What's the meaning of longitudinal?

Answers

Answer:

A longitudinal study is a research design that involves repeated observations of the same variables over short or long periods of time. It is often a type of observational study, although they can also be structured as longitudinal randomized experiments.

Explanation:

How are galaxies named?

Answers

Answer:

Some galaxies are given descriptive names (e.g. "Andromeda", "Whirlpool") if they are particularly distinctive in location or appearance. But most galaxies are known from their designation in a catalogue. One of the earliest catalogues of objects in the sky was made by Charles Messier.

give an example of a body with uniform acceleration​

Answers

Answer:

A ball rolling down the slope.

A bicycle rider is riding the bicycle on tthe slope where both pedals are engaged.

Which variable is represented by the following symbol? λ
a. Wavelength
b. Amplitude
c. Frequency
d. Velocity

Answers

Answer:

A

Explanation:

Wavelength is represented by lambda

A wavelength is the answer

Convert 162 km/h into m/s.

Answers

Answer:

45 m/s

Explanation:

162 / 3.6 = 45 m/s

Divide by 3.6 to convert km/h to m/s.

how can you account for the differences in the entropies of combination of methyl propane (-1465J/mol K) and butane (1465J/mol K)​

Answers

Explanation:

The change in entropy is a measure of temperature. When the temperature of a compound or a system increases, there will be more randomness in the system.

The boiling point is directly related to the number of carbon atoms but is indirectly proportional to the branching in a hydrocarbon.

Butane and methyl propane, both have 4 carbon atoms.

But, butane has 4 carbon atoms in a straight chain while methyl propane has 3 carbon atoms in a straight chain and 1 methyl substituent which makes it a branched hydrocarbon.

Thus, the boiling point of methyl propane will be less than the butane. Likewise, the pattern in entropies will be seen.

Loops spaced further apart create a stronger electromagnet. True or False

Answers

Answer:

False

Explanation:

Electromagnetic strength is inversely proportional to separation distance

The temperature of an ideal gas in a sealed 0.40m3 rigid container is reduced from 350 K to 270 K.The final pressure of the gas is 60 kPa. The molar heat capacity at constant volume of the gas is 28.0 J/(mol K). The heat absorbed by the gas is closest to

Answers

Answer:

The answer is below

Explanation:

Given that the volume (V) = 0.4 m³, temperature difference (ΔT) = 270 K - 350 K = -80 K, pressure (P) = 60 kPa = 60000 Pa, R = 8.314 J/molK

Since we have constant volume, we can use the final state parameters to calculate the number of moles using the ideal gas law:

[tex]PV=nRT\\\\n=\frac{PV}{RT} =\frac{60000*0.4}{8.314*270} =10.69\ moles[/tex]

Given that the molar heat capacity at constant volume ([tex]C_v[/tex]) = 28.0 J/(mol K), the heat absorbed (Q) is:

[tex]Q=nC_v\Delta T=10.69*28*(-80) = -23945.6\ J\\\\Q=-23.95\ kJ[/tex]

Q ≈ -24 kJ

Which state has the most fixed shape?
O A. Gas
O B. Solid
O C. Liquid
O D. Plasma

Answers

Answer: Liquid

“A substance will take on the shape of an open container if it is a Liquid. Explanation: The major state of matter are solid, liquid and gas. Liquid usually have a definite volume.”

Answer:

solid

Explanation:

Solids are fixed and solid.

A 75kg hockey player is skating across the ice at a speed of 6.0m/s. What is the magnitude of the average force required to stop the player in 0.65s?

Answers

Answer:

692.31 N

Explanation:

Applying,

F = ma............... Equation 1

Where F = Average force required to stop the player, m = mass of the player, a = acceleration of the player

But,

a = (v-u)/t............ Equation 2

Where v = final velocity, u = initial velocity, t = time.

Substitute equation 2 into equation 1

F = m(v-u)/t............ Equation 3

From the question,

Given: m = 75 kg, u = 6.0 m/s, v = 0 m/s (to stop), t = 0.65 s

Substitute these values into equation 3

F = 75(0-6)/0.65

F = -692.31 N

Hence the average force required to stop the player is 692.31 N

What is the three-body problem? Explain at a level so an 8th grader could understand

Answers

Answer:

In physics and classical mechanics, the three-body problem is the problem of taking the initial positions and velocities (or momenta) of three point masses and solving for their subsequent motion according to Newton's laws of motion and Newton's law of universal gravitation.[1] The three-body problem is a special case of the n-body problem. Unlike two-body problems, no general closed-form solution exists,[1] as the resulting dynamical system is chaotic for most initial conditions, and numerical methods are generally required.

Hope this answer is right!

5. What type of chemical reaction is shown?
1 point
2 AgNO3 + CuCl2
-
2 AgCl + 2 Cu(NO3)2
Synthesis
Decomposition
Singe Replacement
Double Replacement
Combustion

Answers

Answer:

double Replacement

Explanation:

The mutual replacement of radical and ions between the two compounds or molecules is called double replacement.

General equation : AB+CD = AD +B

if a car is taken from the garage driven for 100km before returning to the garage after 2 hours what is it average speed?

Answers

Answer:

50km/h

Explanation:

Average Speed = Distance/Time

100km/2h = 50km/h

Other Questions
According to exponent rules, when we divide the expressions weexponents. 5xx can u give me the anwser Document 1Theodore M. Brown and Elizabeth Fee, writing for the American Public Health Association, provide the following description of a photograph similar to the one pictured below:Gandhis manner of dress and commitment to hand spinning were essential elements of his philosophy and politics. He chose the traditional loincloth as a rejection of Western culture and a symbolic identification with the poor of India. His personal choice became a powerful political gesture as he urged his more privileged followers to copy his example and discardor even burntheir European-style clothing and return with pride to their ancient, precolonial culture. Document 2Before the Turkish Hat Law was passed In 1925, Mustafa Kemal Atatrk gave a speech now known as The Hat Sermon during which he argued in support of ideas that would later lead to the Hat Law. The speech was given in a Turkish town the inhabitants of which Atatrk refers to as masters, which is how he customarily referred to most audiences. During the speech he placed a top hat on his head when stating Here it is.The people who constitute the Turkish nation are a civilized bunch. It is historically and essentially civilized. But I have to inform you, as a brother of yours, as your friend and as your father that members of the Turkish nation who call themselves civilized must prove and show that they are intellectually civilized as well. They must show how civilized they are through their family life and lifestyles.Is our dress nationalistic? Is our dress civilized and universal?Does it make sense to daub [coat] a very precious jewel with mud? If there is a jewel inside the mud then we need to wipe away the mud in order to reveal the jewel; this is only natural and necessary.We shall wear Oxford shoes or alternately, ankle shoes from now on; and trousers, waistcoats, shirts, ties, removable collars, jackets and most naturally, hats. This is something like a redingote, a bonjour, a smoking coat, a frock. Here it is.Some people say it is not lawful to wear it. And I say to them you are absent minded and ignorant! Identify a similarity or a difference between the events, ideas, or historical developments presented in documents 1 and 2. iiidjdjfjfjdjndndjxixjxjn Name one way the male and female endocrine systems are different. The vertex of this parabola is at (-5, 4). Which of the following could be itsequation? In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other two experiments required the same number of test tubes. How many test tubes were needed for each of the the other two experiments Choose the verbs in the correct tense to complete the paragraph Find the equation of the line parallel to y = 2/3-7 (2 over 3)passing through A(6,-1). How do you determine whether a nutritional claim or product is too good to be true? el vector desplazamiento de un objeto en movimiento inicialmente en el origen tiene una magnitud de 12.5 cm y est en un ngulo de 210 grados en relacin con el eje de las x en determinado instante Cules son las coordenadas del objeto en ese instante ? una pelota rueda con velocidad constante a 2.40 m por segundo con un ngulo de 37 grados en relacin al eje de las x del cuadro cuadrante si sabemos que la pelota est en el origen en tiempo igual iniciar cules son sus coordenadas x 1.75 segundos triangle ABC has angle measures as shown. A) what is the value of x? show your work. B) what is the measure of angle C? show your work. Una persona pesa 700 N al nivel del mar. Cundo sube a un avin a 10000 m de altura pesar ms, igual o menos? Bien explicado por favor Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml . Once people started using neumes, composers stopped getting credit for their works.TrueFalse True False 28. Symmetry gives a sense of stabilin and balance to design.a. trueb. false Each edge of a cube is 9 centimeters long. Find the total length of all the edges of the cube. Current assets include a.cash and assets that will be converted into cash or consumed within either one year or the normal operating cycle of the business, whichever is longer. b.plant assets. c.assets that are expected to serve the business for many years. d.cash and assets that will be converted into cash or consumed within either one year or the normal operating cycle of the business, whichever is shorter. Labor power is a special commodity right or wrong? Which XXX declares a student's name. public class Student { XXX private double myGPA; private int myID; public int getID() { return myID; } } Group of answer choices String myName; public String myName; private myName; private String myName;