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

Daniel wants to find out if he can notice the difference in light intensity when he adds some lit candles to a set of 50 lit candles. When he adds 5 candles to the set, he notices the difference in intensity half the time. However, when he adds less than 5 candles to his set, he does not notice any difference in the intensity of light. In this scenario, Daniel's difference threshold for detecting the change in light intensity is ________ lit candles.

Answers

Answer:

5

Explanation:

The light intensity may be defined as the strength of the light or the magnitude of its brightness that a source of light can produce.

The light threshold is the minimum intensity of the light that our eye can detect and the ability to adapt to darkness.

In the context, Daniel wishes to find if can notice the difference in the intensity of the light when he add 5 candles to the set of 50 candles.

He noticed that when he added 5 candles, he could notice the difference in the intensity and when he added less than 5 candles to the set of 50 candles he could not detect.

Thus, the difference threshold for Daniel to detect the change in the intensity of the light is 5 candles.

can someone answer pls??​

Answers

Answer:

2. the volume of the square are the same

Answer:

the volume of the squares are the same

Explanation:

What causes the mechanical advantage of the inclined plane to be less than that of the lever?

Answers

Answer:

The force of friction that is caused when using an inclined plane causes the mechanical advantage of the inclined plane to be less than that of the lever.

Explanation:

Which term is the product of force and distance?

power
work
net force
acceleration

Answers

Answer:

work

Explanation:

it is a scalar quantity. it is equal to product of force and distance if the direction of motion is in direction of force in straight line

Answer:

work

Explanation:

:>)

Resolver el siguiente problema usando los pasos de Pólya y la estrategia razón, proporción y porcentajes De los 240 viajeros que ocupan un avión, el 30% son asiáticos, el 15% africanos, el 25% americanos y el resto europeos. a) ¿Cuántos europeos viajan en el avión? b) ¿Cuál es el total de asiáticos y americanos que viajan en el avión? c) ¿Cuál es la razón de viajeros africanos a viajeros americanos?

Answers

Answer:

a) 72 europeos viajan en el avión, b) 132 pasajeros viajan en el avión, c) Hay una proporción de 3 africanos a 5 americanos en el avión.

Explanation:

a) Si 30 % son asiáticos, 15 % africanos y 25 % americanos, entonces 30 % son europeos. La cantidad de europeos en el avión es:

[tex]x = 0.3\cdot (240)[/tex]

[tex]x = 72[/tex]

72 europeos viajan en el avión.

b) El total de asiáticos y americanos en el avión se determina mediante la siguiente expresión:

[tex]x = (0.3 + 0.25)\cdot (240)[/tex]

[tex]x = 132[/tex]

132 pasajeros viajan en el avión.

c) En primer lugar, se calculan los números de africanos y americanos en el avión:

Africanos

[tex]x_{1} = 0.15\cdot (240)[/tex]

[tex]x_{1} = 36[/tex]

Americanos

[tex]x_{2} = 0.25\cdot (240)[/tex]

[tex]x_{2} = 60[/tex]

Y la razón de viajeros africanos a viajeros americanos es:

[tex]r = \frac{r_{1}}{r_{2}}[/tex]

[tex]r = \frac{36}{60}[/tex]

[tex]r = \frac{3}{5}[/tex]

Hay una proporción de 3 africanos a 5 americanos en el avión.

In what direction does the force of friction act?
A. Perpendicular to the surface, pointing up
B. Perpendicular to the surface, pointing down
C. Along the surface, in the direction opposite to the motion
D. Along the surface, in the same direction as the motion

Answers

The answer should be C
The Correct answer is c

Select the correct answer. A truck moves 60 kilometers east from point A to point B. At point B, it turns back west and stops 15 kilometers away from point A. What are the total distance and total displacement of the truck? A. The total distance is 105 kilometers, and the total displacement is 15 kilometers east. B. The total distance is 105 kilometers, and the total displacement is 45 kilometers east. C. The total distance is 60 kilometers, and the total displacement is 60 kilometers east. D. The total distance is 60 kilometers, and the total displacement is 45 kilometers east. E. The total distance is 105 kilometers, and the total displacement is 75 kilometers east.

Answers

Answer:

Option a

Explanation:

What are three methods of water conservation that we can do to protect our aquifers, watersheds, and ground water?

Answers

Answer:

• Go Native. Use native plants in your landscape. ...

• Reduce Chemical Use. Use fewer chemicals around your home and yard, and make sure to dispose of them properly - don't dump them on the ground!

• Manage Waste. ...

Explanation:

There are some easy ways to conserve water to help protect our aquifers, watersheds, and ground water. First, we can all conserve water, by not running the water while we brush our teeth and making sure we fix all leaking or dripping faucets. Another was to conserve water is to collect rain water to use to water your plants. Speaking of plants, you can also plant more zeroscape type landscapes that require less water. We can also update our shower heads and toilets to be low-flow and more efficient. Can't afford a new toilet? Simply add a brick to your tank and this will cut down on the water used for every flush.

Reduce, Reuse, and Recycle
Reduce the amount of "stuff" you use and reuse what you can. Recycle paper, plastic, cardboard, glass, aluminum and other materials.
Natural Alternatives
Use all natural/nontoxic household cleaners whenever possible. Materials such as lemon juice, baking soda, and vinegar make great cleaning products, are inexpensive, and environmentally-friendly.
Learn and Do More!
Get involved in water education! Learn more about groundwater and share your knowledge with others.

Tính nhiệt lượng cần cung cấp để đun nóng 5kg nước từ nhiệt độ 25 độ C lên 100 độ C. Biết nhiệt dung riêng của nước là 4,18.10^3 J/kg.K

Answers

Answer:

Q = 7837500 Joules.

Explanation:

Cho các dữ liệu sau đây;

Khối lượng = 25 kg

Nhiệt độ ban đầu = 25°C

Nhiệt độ cuối cùng = 100°C

Nhiệt dung riêng = 4,18 * 10³ = 4180 J/kg.K

Để tìm nhiệt lượng cần thiết;

Về mặt toán học, nhiệt dung được cho bởi công thức;

[tex] Q = mcdt[/tex]

Ở đâu;

Q là nhiệt dung hoặc nhiệt lượng. m đại diện cho khối lượng của một vật. c biểu diễn nhiệt dung riêng của nước. dt thể hiện sự thay đổi của nhiệt độ.

Chuyển đổi:

Nhiệt độ ban đầu = 25°C đến Kelvin = 273 + 25 = 298 K

Nhiệt độ cuối cùng = 100°C đến Kelvin = 273 + 100 = 373 K

dt = T2 - T1

dt = 373 - 298

dt = 75 Kelvin

Thay các giá trị vào phương trình, ta có;

[tex] Q = 25 *4180*75[/tex]

Q = 7837500 Joules.

9) What is the temperature of 5 moles of nitrogen at 1 atm in a 2 liter container?*


- 4.88 K
- 0.0328 K
- 0.41 K.
- 0.0164 K

Answers

Answer:

4.88 K.

Explanation:

From the question given above, the following data were obtained:

Number of mole (n) = 5 moles

Pressure (P) = 1 atm

Volume (V) = 2 L

Gas constant (R) = 0.082 atm.L/Kmol

Temperature (T) =?

The temperature of the gas can be obtained by using the ideal gas equation as illustrated below:

PV = nRT

1 × 2 = 5 × 0.082 × T

2 = 0.41 × T

Divide both side by 0.41

T = 2 / 0.41

T = 4.88 K

Therefore, the temperature of the gas is 4.88 K.

which of the following is not made up of atoms answers choices A heat b tree c balloon ​

Answers

Answer:

the answer is  tree

Explanation:

because tree is made up of woodly barks and not atoms so we can say that tree is the answer. u may wander, why not hear or baloon cause heat is a gas state which is made up of atom and baloon contains gall like helium which is also made up of atom.

hope this helps u

what is neant by velocity ratio of machine is 3 and efficency is 60%​

Answers

Answer:

Velocity ratio of a lever is 3 means distance travelled by effort is 3 times the distance travelled by the load. Efficiency of the pulley is 60%means 40% of the energy is lost in the machine due to the friction

a 60 kg runner accelerates during a race at 3m/s2. what force is exerted on the earth with each step

Answers

Answer:

180 Newton(N)

Explanation:

force =mass *acceleration

=60 * 3

=180 kgm/s^2

=180 N

Which of the following statements is NOT correct?
A. If the forces on an object are balanced, then the object can be at a constant speed.
B. If the forces on an object are balanced, then the object can be at rest.
C. If the forces on an object are unbalanced, then the object can be accelerating.
D. If the forces on an object are unbalanced, then the object can be at rest.

Answers

The answer is
D:if the

Un objeto de masa de 250 g es arrastrado sobre una superficie con una velocidad de 25 m/s. Determina la energía cinética que pose

Answers

Contenido:

→  Energía cinética

Ecuación

[tex]\large {\boxed {\bf E_c = \cfrac{mv^2}{2} }}[/tex]

                                               

La energía cinética de la masa se da en kilogramos, por lo que tendremos que convertir gramos a kilogramos...

[tex]\large {\text {$ \blue {\sf 250 g \rightarrow 0,25 kg }$}}[/tex]

Entonces tendremos:

[tex]\large {\text {$ \purple {\sf E_c = \cfrac{ 0,25 \cdot 25 }{2} \rightarrow \quad \cfrac{6,25}{2} = 3,125} $}}[/tex]

[tex]\large {\boxed {\boxed {\boxed {\bf E_c = 3,125 }}}}[/tex]

A spring stretches from 10cm to 22cm when a force of 4n is applied, if it obeys Hooke’s law,its total length in cm when a force of 6N is applied is?

Answers

Answer:

Explanation:

Hooke's Law is a linear representation that, in equation form, looks like this:

F = -kΔx where F is force, k is the spring constant, and Δx is the displacement of the spring when a Force is applied to it in the form of a mass hanging on the end of it. We need to use the equation to solve for the spring constant, k. Doing this by filling in the values we were given:

4 = -k(-12) the 12 is negative because the mass hangs below the point of equilibrium. This gives us that

k = 1/3. Now we'll use that in the next equation where we need to solve for displacement:

6 = -1/3(Δx) and

Δx = -18 cm

As a train starts from rest then accelerates down the track, coming toward an observer faster and faster, the frequency of the sound waves coming toward the observer will be

Answers

Answer:

Increase in frequency constantly

Explanation:

This concept can be explained by Doppler shift as per which any form of disturbance spreads out spherically from its point of origin. If the source of sound wave is stationary and the receiver is also stationary, then the frequency remains the same but if the source is moving, then the disturbance caused is closer on one side and distant on the other side thereby producing shorter wavelength in direction the source is moving and longer wavelength in the opposite direction.

Whats this i give 13 points

Answers

Answer:

pretty sure its A hope this helped

HELP PLSSS I HAVE AN EXAM MONDAY AND I THINK THIS IS GONNA BE ON ITTTT
A fish is at the western bank of a river that is 64 m wide and has a current with a velocity of 0.90 m/s [S]. The fish swims directly across the river going due east. The fish can swim at a speed of 0.2 m/s.

a) How long does it take for the fish to get across the river
b) What is the resulting velocity of the fish
c) When the fish arrives on the opposite bank, how far is it from being at the point directly across from where it started?

The answers are here, please show work on how to get these
a) 3.2 x 10^2
b) 0.9 m/s (S 13 E)
c) 2.9 x 10^2

Answers

Answer:

(a) 3.2 x 10²s

(b) 0.9 m/s (S 13 E)

(c) 2.9 x 10²m

Explanation:

The sketch illustrating the scenario has been attached to this response.

As shown;

The fish swims due east with a velocity [tex]V_{x}[/tex] = 0.2m/s

The river current has a velocity [tex]V_{y}[/tex] due South = 0.9m/s

The resultant of the velocity is V

The width of the river is x = 64m

(a) To calculate how long it took the fish to get across the river, we know that velocity is the rate of change in distance, therefore we can use the relation;

V = [tex]\frac{d}{t}[/tex]      -------------(i)

Where;

V = velocity of the fish = [tex]V_{x}[/tex] = 0.2m/s

d = distance from the start to the end = width of the river = x = 64m

t = time taken to move for that distance

Make t subject of the formula in equation (i);

t = [tex]\frac{d}{V}[/tex]

Substitute the values of d and V into the equation;

t = [tex]\frac{64m}{0.2m/s}[/tex]

t = 320 s

t = 3.20 x 10²s

Therefore, the time taken for the fish to get across the river is 3.20 x 10²s

(b) The resulting vector of the fish is V whose magnitude is the algebraic sum of vectors  [tex]V_{x}[/tex] and  [tex]V_{y}[/tex], and direction is given by θ. i.e

The magnitude of the resulting vector is;

|V| = [tex]\sqrt{(V_x)^2 + (V_y)^2}[/tex]

|V| = [tex]\sqrt{(0.2)^2 + (0.9)^2}[/tex]

|V| = [tex]\sqrt{(0.04) + (0.81)}[/tex]

|V| = [tex]\sqrt{(0.85)}[/tex]

|V| = 0.92m/s

|V| ≅ 0.9m/s

The direction of the resulting vector θ and is given by;

tan θ = [tex]\frac{V_y}{V_x}[/tex]

tan θ = [tex]\frac{0.9}{0.2}[/tex]

tan θ = 4.5

θ = tan⁻¹ ( 4.5)

θ = 77.47° South of East.

θ  ≈ 77.5° South of East.

Subtracting θ = 77.5° from 90° gives its value East of South

i.e

90 - 77.5 = 12.5° East of South

This can also be written as S12.5°E

Approximating to the nearest whole number gives S 13 E

Therefore, the resulting velocity of the fish is 0.9m/s in the direction S13°E

(c) When the fish arrives on the opposite bank, its distance from being at the point directly across from where it started is the product of the velocity of the river current and the time taken by the fish to get across the river. This point is equivalent to k as shown in the diagram.

Therefore;

distance = velocity of river current x time taken

distance = 0.9m/s x 3.20 x 10²s

distance = 2.88 x 10²m

distance ≅ 2.9 x 10²m

Notice that the velocity of the river current is used since that's the velocity of the fish on the y-axis.

What is Newton’s third law?

Answers

Answer:

For every action, there is an equal and opposite reaction

Explanation:

Newton's Third Law of Motion states "To every action, there is an equal and opposite reaction; action and reaction forces act on different bodies".

what can make an inclined plane more efficient?

Answers

Answer:

Efficiency can be increase by using rollers in conjunction with the inclined plane. Wedge. The wedge is an adaptation of the inclined plane. It can be used to raise a heavy load over a short distance or to split a log

How efficient is a pulley system if an operator has to pull 2.5m of rope to lift a 250 N pail of water a distance of 4.5 m?

Answers

Answer:

the pulley system is very efficient

Explanation:

Given;

load, L  = 250 N

distance moved by the load, a = 4.5 m

distance moved by the effort, e = 2.5 m

let the force or effort applied = F

Apply the principle of conservation of energy;

F x e = L x a

F = (L x a) / e

F = (250 x 4.5) / 2.5

F = 450 N

The efficient of the pulley system;

E = Output force / Input force

E = (450 x 2.5) / (250 x 4.5)

E = 1 = 100%

Therefore, the pulley system is very efficient

4. A cell membrane contains all of the following EXCEPT:*
O glycolipids
phospholipids
sphingolipids
steroids
none of the above

Answers

Answer:

The correct answer is - none of the above.

Explanation:

Cell membranes or plasma membranes of the cell are composed mainly of fatty-acid-based lipids and proteins. Membrane lipids are of two types majorly, glucolipids, phospholipids, and sterols (generally cholesterol).

Sphingolipids are also a structural component of the cell membrane that helps in segregation into distinct membrane domains. Glycolipids are present on the surface of the plasma membrane.

a petrol engine raises 200kg of water in well from a depth of 7m in 6s show that the engine is developed about 2.33 kw of power​

Answers

Answer:

P = 2.33 kW

Explanation:

Given that,

Mass, m = 200 kg

It is raises in the well from a depth of 7 m in 6 s.

W e know that,

Power = work done/time

Put all the values,

[tex]P=\dfrac{mgh}{t}\\\\P=\dfrac{200\times 10\times 7}{6}\\\\P=2333.3\ W[/tex]

or

P = 2.33 kW

Hence, the power of the engine is 2.33 kW.

A certain capacitor, in series with a resistor, is being charged. At the end of 25 ms its charge is half the final value. The time constant for the process is about:

Answers

Answer:

  τ = 36 10⁻³ s

Explanation:

The charge of a circuit Rc is given by the expression

          q = q₀ (1 - [tex]e^{-t/ \tau }[/tex])

          q / q₀ = 1 - e^{-t/  \tau }

in this exercise they indicate that

          q / q₀ = ½

for a time t = 25 10⁻³ s

we substitute

          ½ = 1 - [tex]e^{- 25 \ 10^{-3} / \tau}[/tex]

          e^{- 25 \ 10^{-3} /  \tau} =  1 -½

         - 25 10⁻³ /τ = ln 0.5

         -25 10⁻³ / ln 0.5 = τ

         τ = 36 10⁻³ s

Calculate the capacitance of a system that stores 9.4 x 10-10 C of charge at
Q
50.0 V. Use C=
AV
O A. 1.9 x 10-11 F
OB. 4.7 x 10-8 F
O C. 5.3 x 1010 F
O D. 2.1 x 107 F

Answers

Answer:

A. [tex]1.88\times 10^{-11}\,F[/tex].

Explanation:

By definition of Electric Capacitance, the capacitance of the system ([tex]C[/tex]), in farads, is described by the following formula:

[tex]C = \frac{q}{V}[/tex] (1)

Where:

[tex]q[/tex] - Electric charge, in coulombs.

[tex]V[/tex] - Voltage, in volts.

If we know that [tex]q = 9.4\times 10^{-10}\,C[/tex] and [tex]V = 50\,V[/tex], then the capacitance of the system is:

[tex]C = \frac{9.4\times 10^{-10}\,C}{50\,V}[/tex]

[tex]C = 1.88\times 10^{-11}\,F[/tex]

The correct answer is A.

4) Describa una situación en la cual un cuerpo se encuentre en reposo para un observador, y en movimiento para otro.

Answers

Answer:

Rest and motion are the relative terms.

Explanation:

When the position of the object does not change with respect to time, the object is said to be at rest.

When the position of the object changes with respect to time, the object said to be in motion.

let there is a tree, the tree is at rest with respect to the person which is standing near by the tree.

But when the person is in outer space and able to see the tree, the tree is in motion as the earth is in  motion.

A person sitting in the train which is moving is at rest when observed by the other person sitting in the train but he is in motion with respect to a person which is standing on the platform.  

HELP ME ILL MARK YOU THE BRAINLIEST

Answers

Option C: Later in the day, less power is developed in lifting each box

Answer:

Later in the day, less power is developed in lifting each box.

power= workdone÷time

Tần số ngưỡng của một kim loại có giá trị X. Nếu tần số của chùm sáng chiếu đến bề mặt katot tăng từ 2X đến 4X thì cường độ dòng quang điện sẽ

Answers

Answer:

Năng lượng tăng gấp đôi.

Explanation:

Như chúng ta biết

E = nhf

Năng lượng tỷ lệ thuận với f

Thay đổi về tần số sẽ tương đương với những thay đổi tương tự về Năng lượng

Nếu tần số trở thành hai lần, thì năng lượng sẽ trở thành 2 lần.

Please help ASAP
у.
B
C
Position (m)
A А
0
1
2
3
4
5
6
7
8
9
10
11
12
Time (s)
The graph describes the motion of an object.
The object moves with
from A to B. It
from B to C. It moves
from C to D.

Answers

Answer:

a10

Explanation:

Other Questions
Cameron is making trail mix. The ratio of peanuts to raisins to walnuts is 3:2:1. If there are 224 raisins, how many total peanuts and walnuts are there? Help with math earn 10 points 1.the prayer every night.The youngest daughtera. leadb. leadsC. ledd. will lead Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure. ) yx2x1 how do you write it in simplest form Determine if the data of described below is quantitative or qualitative. Explain. Voltage measurements from your home What happens to the equilibrium when sodium hydroxide is added to ammonia Which of the following is a FALSE statement about fungi?A. Fungi may be multicellular or unicellularB. Fungi are heterotrophsC. Fungi have a cell wall made of chitinD. Fungi are autotrophs PLS HELP ASAP !!! PLSSSSSSS What is one of the key phases of procurement processes that employ competitive bidding mechanisms? The retail cost of a TV is 50 % more than its wholesale cost. Therefore, the retail cost is ____ times the wholesale cost. Explain why the triangles are similar and write a similarity statement. [tex] {( {5}^{ - 1 } \times {3}^{ - 1} })^{ - 1} \div {6}^{ - 1} [/tex]Pls include steps... what are the most powerful "checks" a president has 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; A married couple filing jointly with a taxable income of $240,000 and a $7000 tax credit. The tax owed is? Convert y + 2 = 3/2(x 4)to general form. Why is it important to use PPE in doing the task of upgrading a computer server? Adams is a psychologist who works in the area of animal behavior. She has a particular interest in crows, and her research is primarily aimed at gaining more information about the behaviors of these birds, such as their mating habits, eating rituals, and so on. Dr. Adams research is best categorized as:__________ DUE TODAY!!! PLS HELP IF YOU KNOW!!!