At a particular instant, a football has a velocity of 25 m s–1 and its direction makes an
angle of 30° above the horizontal. Determine the vertical and horizontal components
of its velocity

Answers

Answer 1

This question involves the concepts of the resolution of vector and rectangular components.

The vertical and horizontal components of velocity are "21.65 m/s" and "12.5 m/s", respectively.

What are rectangular components?

The resolution of a vector into its rectangular components gives two components of the vector in the horizontal and the vertical directions. These components can be mathematically found as follows:

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

where,

[tex]v_x[/tex] = horizontal component = ?v = velocity = 25 m/sθ = angle = 30°

Therefore,

[tex]v_x = (25\ m/s)Cos (30^o)\\v_x = 21.65\ m/s[/tex]

For vertical component:

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

where,

[tex]v_y[/tex] = vertical component = ?v = velocity = 25 m/sθ = angle = 30°

Therefore,

[tex]v_y = (25\ m/s)Sin (30^o)\\v_y = 12.5\ m/s[/tex]

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Related Questions

What exercises can help reduce stress?

Answers

Running,Swimming,Cycling,Dancing

Indium-117 has a half-life of 43 minutes. If you start with 500 grams of indium-117, how much time will it take to have 31.25 grams of indium-117 left in the sample?​

Answers

Answer:

500 / 31.25 = 16

(1/2)^n = 1/16     where n is the number of elapsed half-lives

(1/2)^4 = 1/16     so the sample has gone thru 4 half-lives

43 min * 4 = 172 min = 2.87 hrs

Navigation is the art of measuring distances in order to be able to __________.

Answers

Navigation is the art of measuring distances in order to be able to get from one place to another

Take 50 points please help me look the picture ​

Answers

Answer:

4 : 1

Explanation:

Pulse rate

Also referred as heart rate can be affected due to vigorous exercise, age, health. Normally the pulse rate of an adult is between 60 to 100 beats per minute. pulse rate: 80 bpm.

Breathing rate

The amount of oxygen taken in inside of our body from the air. Breathing rate is usually affected due to age. Normal breathing rate of an adult is between 15 to 24 breaths per minute. breathing rate: 20 bpm.

Ratio of breathing to pulse rate

pulse rate : breathing rate

            80 : 20

              4 : 1

Which one of the following statements is not true.
A. Soil is the second layer of Earth's crust.
B. Metals can be extracted from minerals.
C. Oil is made from dead plants and animals.
D. Chemical weathering can break down rocks into fragments.

Answers

the answer is option C

when an object is thrown, the thrower pushes the object. that causes the object to move in a what motion?

Answers

Answer:

When an object is thrown, the thrower pushes the object. This causes the object to move in a  

Explanation:

d. A student kept a school bag in the floor of bus. When he was getting off the bus the bag was not their but few foots away. What might be the reasons?​

Answers

Answer:

He had pushed the bag with his leg

Please answer this I need help

Answers

all i see is a white screen? maybe it’s my phone? orr

please help me with questions 3and 4​

Answers

q3 - I am not sure, sorry:(

q 4 - Alcoholism is a disease because it not only causes people to become addicted to alcohol, which has many harmful consequences such as heart disease, but it also causes people to relapse when they say they will stop drinking. However, some people who were addicted to alcohol realised during that time that life has a purpose and that being addicted to alcohol will not solve problems. This person's alcoholism inspired them to change their lives and mindsets, as well as to work on their goals, which has led them to accomplish many things in life.For example, celebrity Daniel Radcliffe, 29, acknowledged to using alcohol to cope with the immediate popularity he'd achieved as the lead of the Harry Potter films. Despite enjoying his work, the English actor claims he isolated himself from the public to avoid the constant attention. Radcliffe attributes his ability to get therapy and create new, better coping techniques to his close pals.

The driver of a car moving with a constant speed applies the breaks, and the car comes to a stop after traveling 3.5 meters. Which force causes the deceleration of the car?

Answers

Answer:

Friction is the resistive force. when a driver applies brakes, the wheels stop rotating and there is friction between the tyres and the rough surface of the road. (but if you ask why it moves 3.5 m after braking, that is due to the intertia of the moving car)

What is the voltage of a circuit with power 12 W and current 2
A?

Answers

Answer:

6 v

Explanation:

power = watts

        watt = voltage * current

           12    =  v  * 2

              v = 6 v

1.2Amp
40 ohm
20 ohm
calculate the current flowing through each resistor ​

Answers

Hi there!

We can begin by finding the equivalent resistance of the parallel segment shown in the diagram.
Recall the following for resistors in parallel:
[tex]\frac{1}{R_e} = \frac{1}{R_1} + \frac{1}{R_2} + ... + \frac{1}{R_n}[/tex]

Plug in the given values for the resistances and solve.

[tex]\frac{1}{R_e} = \frac{1}{40} + \frac{1}{20}\\\\\frac{1}{R_e} = 0.075\\\\R_e = \frac{1}{0.075} = 13.333 \Omega[/tex]

Now, to solve for the total voltage that will go through this segment, we can use Ohm's Law:
[tex]V = iR\\\\V = 1.2 (13.333) = 16 V[/tex]

This is a parallel branch, so 16V goes through each resistor. We can now rearrange Ohm's law equation to solve for current for each resistor.

[tex]i = \frac{V}{R}\\\\i_{40} = \frac{16}{40} =\boxed{ 0.4 A}\\\\i_{20} = \frac{16}{20} = \boxed{0.8 A}[/tex]

**Notice that the two currents ADD UP in parallel to the total. Also, this problem can be done more simply using ratios, but this method will help you solve series and parallel combination circuits.

Explain why the water that is used to cool the reactor vessel of a nuclear power plant is kept separate from the water that is heated to produce steam for the turbine generators.

Answers

Explanation:

Reasons:

- to separate and

- to avoid formation of electricity.


What is the time in seconds?

Answers

Answer:

5/9  Hz

Explanation:

Period = 1.8  seconds to go through a full cycle

  freq = 1/period =  1/ (1.8) =   5/9 Hz

Definition for insulator

Answers

Answer:

any substance which does not allow the passage of electricity through it is known as insulator

A substance that does not let an electric current flow through it (example: rubber)

Using the graph above determine the acceleration for the object represented between 6.0s and 8.0s

Answers

The object was moving at constant velocity between the points on the graph that we marked 6 s to 8s.

What is acceleration?

The term acceleration has to do with the change of velocity with time. In this case, we saw that the velocity of the car was not changed between 6 s to 8s.

Now , the object was moving at constant velocity between the points on the graph that we marked 6 s to 8s.

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A 6.1 car is traveling at 17 m/s. What is its momentum?

Answers

Answer:

103.7

Explanation:

The equation to find momentum is p=mv

P- momentum

M- Mass

V- velocity

Then just plug in 6.1 for mass and 17m/s for velocity. Multiply!

103.7 because the equation is to find momentum p=my

form a hypothesis to explain the shape of this graph

Answers

Answer:

Where's the graph?

Explanation:

An ecosystem with one dominant type of plant growing in it is a healthy, stable ecosystem. True or false?

Answers

This stamens is false

What is the difference between velocity and time​

Answers

Answer:

velocity is the speed of something in a particular direction while time is what is measured in hours , minutes and seconds

it is possible for an object to maintain constant velocity when only one non-zero force acts on the object. True or false? Explain.


it is possible for an object to maintain constant velocity when three non-zero act on the object. True or false? Explain ​

Answers

Answer:

false

Explanation:

False - For an object to maintain a constant velocity, 0 Newtons of net force (i.e., a balance of forces) is required. i. True - Unbalanced forces cause stationary objects to accelerate from rest. In the absence of an unbalanced force, a stationary object would remain at rest.

The "brightness" or tallness of an electromagnetic wave is its:

A) Amplitude
B) Wavelength
C) Frequency

Answers

Answer: Amplitude

Explanation: The amplitude of light waves is associated with our experience of brightness or intensity of color, with larger amplitudes appearing brighter.

Two capacitors C1 = 1.5 μF and C2 = 5 μF are in series. If the charge stored by C1 is 10 C, determine the charge stored by C2. a. 4 C b. 1.5 C c. 10 C d. 3 C

Answers

Answer: I buleve it’s B 1.5C

Explanation: I took the quiz

Hope this helps and have a nice day!

the 20 kg wheel has a radius of gyration about its center G of kG = 300 mm. When it is subjected to a couple moment of M = 50 N # m, it rolls without slipping. Determine the angular velocity of the wheel after its mass center G has traveled through a distance of sG = 20 m, starting from rests.

Answers

The angular velocity of the wheel after its mass center G has traveled through a distance starting from rests is 31.62 m.

What is angular velocity?

The velocity of an object when moving on a circular track.

The moment of inertia of the wheel about the center O is

I = mk²

Where radius of gyration k= 300mm =0.3 m and mass of wheel m =30kg

I = 20 x (0.3)² = 1.8 kg.m²

The final kinetic energy of wheel is

K.Ef = 1/2 x mx (rω²) + 1/2 x I x ω²

Substitute the values from the question, we have

K.Ef = 1/2 x 20 x (0.4 x ω²) +1/2 x 1.8 x ω² =2.5ω²

The initial kinetic energy is zero, K.Ei =0

According to the work energy theorem, W =K.Ef  -K.Ei =2.5ω² ...............(1)

Work done = moment x angular displacement

W = 50 N.m x 20m/0.4m = 2500 N.m............(2)

Equating both the equations and solving for ω, we get

ω =31.62 rad
Thus, the angular velocity is 31.62 rad.

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5. With gears, force is multiplied when the _______________ gear is smaller and has fewer teeth than the _______________ gear.
a) output, input b) input, output

Answers

Answer:

b

Explanation:

IF- force you use

OF- force the machine give you

1. How long would the car in Sample Problem C take to come to a stop from its initial velocity of 20.0 m/s to the west? How far would the car move before stopping? Assume a constant acceleration. Aron1​

Answers

The time taken, and the distance travelled by the car before stop, will be 5.3 second and -53.3 m west.

What is the distance?

The length of the path traveled by the body is known as the distance covered by the body.

Distance is a 1-dimensional phenomenon. its unit is a meter(m). The distance can be found by the product of velocity and time.

The given data in the problem will be

u is the initial velocity =20m/sec

t is the time =?

d is the distance =?

From the Newtons second law;

[tex]\rm F \triangle t = \triangle P \\\\ \triangle t = \frac{\triangle P }{F} \\\\ \triangle t = \frac{m(v_f-v_i)}{F} \\\\ \ \triangle t = \frac{2240 (0-20))}{8410} \\\\ \triangle t = 5.3 \ sec \\\[/tex]

The distance travelled before the car stop is,

[tex]\rm \triangle t = \frac{1}{2} (v_f+v_i)\traingle t \\\\ \traingle x = \frac{1}{2} (-20+0)5.3 \\\\\ \triangle x= -53.3 m \ west[/tex]

Hence,the time taken, and the distance travelled by the car before stop, will be 5.3 second and -53.3 m west.

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For the summer 5th grade trip, the students
traveled for 90 miles. The trip took 3 hours. What
was the buses' average speed?

Answers

Answer:

30 miles/hour

Explanation:

Bus traveled 90 miles and took 3 hours if you take the average per hour it should be around, 30 miles every hour

What happens to the atomic number of an atom when the number of neutrons in the nucleus of that atom increases? a It decreases b It increases c It doubles d It remains the same

Answers

Answer:

It remains the same

Explanation:

It remains the same. This is because the number of protons doesn't change and the number of protons determines the atomic number.

You and your friend each drive 100.0 km. You travel at 30.0 km/h. Your friend travels at 45 km/h. How long will your friend be waiting for you at the end of the trip?.

Answers

Answer:

See below

Explanation:

100 km / 45 km/hr = 2.222 hr

100 km / 30 km/hr =3.3333 hr

Difference = 1.111 hr  =   1 hr 6  2/3 min

A 4 loop standing wave on a string that is 2 meters long oscialltes at a frequency of 6.7 Hz. What woud be the frequency of the string if it had an 8 loop standing wave pattern?

Answers

The frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.

Relationship between number of loops and harmonics

The relationship between number of loops and harmonics of the standing wave is given as follows;

1 loop = first harmonic = f₁2 loops = second harmonic = f₂ = 2f₁3 loops = third harmonic = f₃ = 3f₁4 loops = fourth harmonic = f₄ = 4f₁8 loops = eight harmonic = f₈ = 8f₁

Frequency of the string if it had an 8 loops standing wave pattern

f₄ = 4f₁

f₁ = f₄/4

f₈ = 8f₁

f₈ = 8(f₄/4)

f₈ = 2f₄

f₈ = 2 x 6.7 Hz

f₈ = 13.4 Hz

Thus, the frequency of the string if it had an 8 loop standing wave pattern is determined as 13.4 Hz.

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