A cart is moving at 55 m/s at an angle of 25° to the ground. Determine the horizontal component.

Answers

Answer 1

Answer:

The horizontal component of the velocity is 49.85 m/s.

Explanation:

Rectangular Components of a Vector

A 2D vector can be expressed in several forms. The rectangular form gives its two components, one for each axis (x,y). The polar form gives the components as the pair (r,θ) being r the magnitude and θ the angle.

When the magnitude and angle of the vector are given, the rectangular components are calculated as follows:

[tex]v_x=v\cos\theta[/tex]

[tex]v_y=v\sin\theta[/tex]

Where v is the magnitude of the vector and θ is the angle with respect to the x positive direction.

The cart is moving at v=55 m/s at θ=25°, thus:

[tex]v_x=55\cos 25^\circ[/tex]

[tex]v_x=49.85\ m/s[/tex]

The horizontal component of the velocity is 49.85 m/s.


Related Questions

give reason: the liquid pressure varies with the depth.
can I get the answer fast?? ​

Answers

Answer:

This is due to an increase in hydrostatic pressure, the force per unit area exerted by a liquid on an object. The deeper you go under the sea, the greater the pressure of the water pushing down on you.

how can you verify the archimedes principle?​

Answers

Answer:

It is found that W1 - W2 loss in weight of solid when immersed in water is equal to the weight of the water displaced by the body. This verifies Archimedes' principle.

Answer with explanation!!!

Answers

Answer:

The light enters the box along the normal to the side of the box or perpendicularly to the box's surface

Therefore, the light is expected to travel straight through the box

However, when a rectangular glass prism is placed inside the box, the light can then be refracted to pass through the box in the given path as shown

Light bends towards the normal when passing from a less dense medium to a denser medium with larger refractive index and vice versa

Therefore, when the glass prism with a larger refractive index than air is inclined with the top part further away from the incident beam and the bottom part closer to the incident beam as shown, the refracted ray through the box will be shifted downwards as shown in the drawing created with Microsoft Visio

Explanation:

[tex]Refractive \ index, n = \dfrac{sin(i)}{sin(r)}[/tex]

Where;

i = The angle between the incidence light and the normal line

r = The angle between the refracted light and the normal line

n = The refractive index

When n > 1 is large, we have, ∠i > ∠r and the light is bent towards the normal when moving from a less dense medium to a denser medium and vice versa.

How can speed and velocity be used to describe motion?

Answers

Answer:

speed described how fast the object moves velocity describes how fast and in what direction its moved..

The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Skip
|?]s
-nte

Answers

Answer:

The moon Phobos orbits Mars

(mass = 6.42 x 1023 kg) at a distance

of 9.38 x 106 m. What is its period of

orbit?

Explanation:

Answer: 27.9816 x 10^3 is the period of orbit

12. A rolling ball has 18 J of kinetic energy and is rolling 3.0 m/s. Find its mass.

Answers

Answer:

4g

I hope it will be useful.

Explanation:

KE = (1/2)*m*v^2

A runner went from 6 m/s and two seconds what was his acceleration

Answers

Answer:

is it 3?

Explanation:

Im taking a guess and just dividing 6 and 2

A car’s brakes decelerate it at a rate of -1.70 m/s2. What is the time, in seconds, required to slow the car from 15 m/s to 9.0 m/s?

Answers

Answer:

t = 3.52 s

Explanation:

Given that,

The deceleration of a car is, a = -1.7 m/s²

The initial velocity of the car, u = 15 m/s

Final velocity of the car, v = 9 m/s

We need to find the time that is required to slow the car from 15 m/s to 9 m/s. The definition of acceleration is :

[tex]a=\dfrac{v-u}{t}\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{9-15}{-1.7}\\\\t=3.52\ s[/tex]

So, it will take 3.52 seconds to slow the car from 15 m/s to 9 m/s.

The dancing bear family loves when their trainer gives them little treats to reward them for a good performance. If the trainer gives the dancing bear family 34 treats each show, how many treats will the trainer need for 22 shows?

Answers

Answer:

748 treats.

Explanation:

If the trainer gives out 34 treats and gave them out for 22 shows, then to find the total you need to multiply 34 by 22, or (a longer but more simple way) add 34, 22 times.

Calculate the total energy transferred when 200 g of ice cubes at 0°C are changed to steam at 100°C.

Specific heat capacity of water = 4200 J/kg °C
Specific latent heat of fusion = 340 kJ/kg
Specific latent heat of vaporisation = 2260 kJ/kg

Answers

Answer:

[tex]604000\ \text{J}[/tex]

Explanation:

m = Mass of ice = 200 g

[tex]\Delta T[/tex] = Temperature change of water = [tex](100-0)^{\circ}\text{C}[/tex]

c = Specific heat capacity of water = 4200 J/kg °C

[tex]L_f[/tex] = Specific latent heat of fusion = 340 kJ/kg

[tex]L_v[/tex] = Specific latent heat of vaporisation = 2260 kJ/kg

Heat required to convert ice to water = [tex]mL_f[/tex]

Heat required to raise the temperature of water to boiling point = [tex]mc\Delta T[/tex]

Heat required to convert water to steam = [tex]mL_v[/tex]

Total heat required

[tex]q=mL_f+mc\Delta T+mL_v\\\Rightarrow q=m(L_f+c\Delta T+L_v)\\\Rightarrow q=0.2(340\times 10^3+4200(100-0)+2260\times 10^3)\\\Rightarrow q=604000\ \text{J}[/tex]

Heat required to convert the given amount of ice to steam at the required temperature is [tex]604000\ \text{J}[/tex].

A car accident my rolls off a cliff as it leaves the cliff it has a horizontal velocity of 13 ms it hiys the ground 60 m from the shoreline calculate the height of the cliff

Answers

Answer:

104.59 m

Explanation:

The following data were obtained from the question:

Horizontal velocity (u) = 13 ms¯¹

Horizontal distance (s) = 60 m

Height (h) =?

Next, we shall determine the time taken for the car to get to the ground. This can be obtained as follow:

Horizontal velocity (u) = 13 ms¯¹

Horizontal distance (s) = 60 m

Time (t) =?

s = ut

60 = 13 × t

Divide both side by 13

t = 60 / 13

t = 4.62 s

Finally, we shall determine the height cliff. This can be obtained as follow:

Time (t) = 4.62 s

Acceleration due to gravity (g) = 9.8 m/s²

Height (h) =?

h = ½gt²

h = ½ × 9.8 × 4.62²

h = 4.9 × 21.3444

h = 104.59 m

Thus, the height of the cliff is 104.59 m

Question 24 (1 point)
A 85 kg boy is riding his bicycle in circles with a radius of 7.2 meters. It takes him 6
seconds to make ones revolution. What is his velocity?
730 m/s
0.53 m/s
1.25 m/s
4:
7.54 m/s

Answers

I believe it is B. Or C.


I hope this helped!


I would appreciate it if you gave me a Thanks and a brainliest (:

A boy of mass 85 kg is riding a bicycle in a circle with a radius of 7.2 meters, and it takes 6 seconds to make one revolution, then his velocity will be equal to 7.54 m/s.

What is tangential velocity?

The movement of an object along the circle's edge which path is always at the tangent to any specific point on the circle is described by tangential velocity.

As a result, tangential velocity is the amount of motion along a circle's edge that may be measured at any given time.

The speed at any location that really is tangent to the rotating wheel is quantified as the tangential velocity in a circular motion. The connection between rotational acceleration and tangential velocity is expressed by the formula. The part of movement along the circle's edge that can be detected at any time is called tangential velocity.

The given data in the question,

Radius, r = 7.2 meters.

Time, t = 6 seconds.

v = 2πr / t

v = 2π(7.2)/6

v = 7.54 m/s.

Therefore, the velocity of the boy is 7.54 m/s.

To know more about tangential velocity:

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write the chemical name and chemical formula for four hydrogens and two nitrogen

Answers

Answer:

2 moles of H2Nsuperscript(-) or NHsubscript2 , amide group!

I hope it will be useful.

Which object has a net force of -68 N?
F = 31 N
F = 89 N
F, = 27 N
F=-53N
F = 53 N F-56N
F = 103 N
F = 34 N
F=-102 N
F = -27 N
F = -74 N
F=-89 N

Answers

Answer:third one from the left

Explanation:

The third object from the given problem has a net force of - 68 Newtons because there is no net vertical force action of this object as equal upward and downward forces cancel each other.

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

F = m*a

The net vertical force = 27 Newtons - 27 Newtons

                                    = 0 Newtons

The net vertical force on the object would be zero.

The net horizontal force acting on the object = - 102 Newtons + 34 Newtons

                                                                           = -68 Newtons

Hence we can conclude that the net force of - 68 Newton acting on the third object.

Learn more about Newton's second law here, refer to the link;

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acrostic poem for cell theory. Especially theory

Answers

Answer:

In biology, cell theory is the historic scientific theory, now universally accepted, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells. Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.

Explanation:

The three tenets to the cell theory are as described below:

All living organisms are composed of one or more cells.

The cell is the basic unit of structure and organization in organisms.

Cells arise from pre-existing cells.

There is no universally accepted definition of life. Some biologists consider non-cellular entities such as viruses living organisms,[1] and thus reasonably disagree with the first tenet. Throughout this article, it will lead you through the history of cell theory, how the discovery of cells was made possible, what the cell theory has become today and background information and history regarding other opposing concepts of cell theory.

What happens to cause the tissue around a cut to become swollen, red, and
painful?
A. Fluid and white blood cells move into the tissue from nearby blood
vessels.
B. White blood cells burst and release wastes made by digesting
pathogens.
C. Lymph nodes develop in the tissue and begin trapping pathogens.
D. Chemical messengers released by the tissue cause nearby
muscles to contract and pull on bones.
SUBM

Answers

Answer:

The answer is A. Fluid and white blood cells move into the tissue from nearby blood  vessels.

Explanation:

Answer:

A is the Answer

Explanation:

I took the test

It has been known for many years that ceramics can conduct electricity. In 2008, scientists found a ceramic material that can conduct electricity with no resistance at 133 K. What is the most important significance of this 2008 finding?

This is a lower temperature than Onnes’s experiment, and it will allow for a broader use of superconductors.

This is a higher temperature than Onnes’s experiment, and it will allow for a broader use of superconductors.

Materials that can conduct electricity with no resistance are new and can allow for new materials to be made.

Ceramic materials have been known to be able to conduct electricity prior to year 2008.

Answers

Answer:

mercury

Explanation:

edge 2020

How are computers used in education and entertainment? List them.​

Answers

Answer:

The computers used in education and entertainment are:

Explanation:

Analog computer,Digital COMPUTER,Hybrid Computer

Objects with different masses have the same gravitational force acting
on them.
TRUE
FALSE

Answers

False!

It’s false. The answer is False.

Uses of Photodiode.State the 8 uses of phototide...................​

Answers

Answer:

Photodiodes are used in consumer electronics devices such as compact disc players, smoke detectors, medical devices and the receivers for infrared remote control devices used to control equipment from televisions to air conditioners. For many applications either photodiodes or photoconductors may be used.

What is the kinetic energy of a go-kart with a mass of 25 kg and a velocity of 2 m/s?

Answers

Answer:

50 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 25 \times {2}^{2} \\ = 12.5 \times 4[/tex]

We have the final answer as

50 J

Hope this helps you

If six moles of hydrogen chloride (HCl) react with plenty of aluminum, how many moles of aluminum chloride (AlCl3) will the reaction produce?
2Al + 6HCl → 2AlCl3 + 3H2

Answers

Answer:

Two moles of aluminum chloride [tex](AlCl_3)[/tex] are produced when six miles of hydrogen Chloride [tex](HCl)[/tex] react with plenty of aluminum

Explanation:

6 Moles of [tex]HCl[/tex] will only react with 2 moles of [tex]Al[/tex] irrespective of the number of moles of each compound present. The reaction wiil take place in this ratio only. The products produced will be 2 moles of [tex]AlCl_3[/tex] and 3 moles of [tex]H_2[/tex] this ratio will also be constant.

So, six moles of hydrogen chloride [tex](HCl)[/tex] will react with plenty of aluminum to produce many 2 moles of aluminum chloride [tex](AlCl_3)[/tex].

When a capacitor, in RC circuit, is fully charged, the current through the resistor is Select one: zero if it is the only capacitor, but maximum if there is another capacitor in series with it. At its maximum value. Greater than the current in a resistor that is farther from the battery than the capacitor. Zero. Equal to the current in a resistive circuit in parallel with the capacitor circuit.

Answers

Answer:

The correct option is "Zero". A further explanation is given below.

Explanation:

As we know,

The capacitor is given by:

⇒ [tex]Q=C\times V[/tex]

Rate of change with respect to the time will be:

⇒ [tex]\frac{dQ}{dt}=C\times \frac{dV}{dt}[/tex]

Now,

It is mentioned in the question that the capacitor is completely charged, then

⇒ [tex]\frac{dV}{dt}=0[/tex]

i.e.,

⇒ [tex]\frac{dQ}{dt}=0[/tex]

All other choices available aren't related to that same scenario in question. So the answer above is the perfect one.

What are the units of Mass and Weight in the English System? Explain.

Answers

Answer:

I tried...

Explanation:

Assuming the English system of mass and weight is the same as the Imperial system, the measurements are:

• 1 pound (lb) = 16 ounces (oz)

• 2,000 pounds (lbs) = 1 ton (T)

I think that's everything?

In the English system, mass is measured in pounds and weight is also measured in pounds. However, it is important to understand the difference between mass and weight.

Mass is a measure of the amount of matter in an object and is a scalar quantity. It does not change with location or gravitational force. In the English system, mass is typically measured using a scale or balance, which compares the object's mass to a standard mass. The pound (lb.) is the unit of mass in the English system.

Weight, on the other hand, is a measure of the force exerted on an object due to gravity and is a vector quantity. It depends on the object's mass and the gravitational force acting on it. In the English system, weight is typically measured using a spring scale or a balance that incorporates a spring. The pound (lb.) is also used as the unit of weight in the English system.

Weight = Mass x Acceleration due to gravity

Mass is measured in pounds (lb.) and weight is also measured in pounds (lb.).It is important to note that weight can vary depending on the gravitational force acting on an object.

Learn more about weight here:

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Given the distance between the crest of one wave and the crest of the next wave, you can determine the?

Answers

answer: wavelength !!
hope this helped :)

Find the direction cosines of cartesian coordinates (3, -1, 2).

Answers

Explanation:

vgfbhhhhhjhbgvbhggy

At night, within how many feet of approaching a vehicle from the rear must you dim your high beam headlights

Answers

Answer: 500 ft

Explanation:

High beam headlights help one to see better at night as the range of vision is greatly expanded. They can however, blind drivers coming on the opposite lane.

It is therefore prudent to ensure that when using high beam headlights, you dim them when a car is coming towards you. The appropriate distance to do so is a minimum of 500 ft from the car.

True or false? When a change of state starts to occur, the energy supplied changes the temperature but not the internal energy.​

Answers

Answer:

True

Explanation:

This heat energy allows the change of state to happen, and the temperature remains constant during the process. The amount of energy required to change the state of a substance depends upon the mass and characteristics of that substance. The energy required to change the state of a material is known as the latent heat. During a change of phase the temperature does not change, but the internal energy does. The internal energy is the sum of the kinetic energy of the molecules and the chemical potential energy of the molecules.

If red and blue light rays fall with the same angle of incidence on the separating
surface between two different transparent media, then the ratio between the refraction
angle of the red light and the refraction angle of the blue light (.) is
a) greater than 1
b)equal to 1
c )indeterminable
d)less than 1​

Answers

Answer:

I'm gonna say it's D

Explanation:

but when u do the experiment on in u head you'll actually find out that it is actually , indeterminable

Please help as soon as possible!! Please!

Answers

The answer is D because the mass stays the same
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