An object is launched at a velocity of 20 m/s in a direction making an angle of 25° upward with the horizontal. (Given gravity g =9.8 , sin 25° = 0.42 and cos 25° =0.91) What is the maximum height reached by the object at B?​

Answers

Answer 1

Answer:

Explanation:

a) The formulas for the components Vx and Vy of the velocity and components x and y of the displacement are given by x = V0 cos(θ)       Vy = V0 sin(θ) - g t

x = V0 cos(θ) t       y = V0 sin(θ) t - (1/2) g t2

In the problem V0 = 20 m/s, θ = 25° and g = 9.8 m/s2.

The height of the projectile is given by the component y, and it reaches its maximum value when the component Vy is equal to zero. That is when the projectile changes from moving upward to moving downward.(see figure above) and also the animation of the projectile.

Vy = V0 sin(θ) - g t = 0

solve for t

t = V0 sin(θ) / g = 20 sin(25°) / 9.8 = 0.86 seconds

Find the maximum height by substituting t by 0.86 seconds in the formula for y

maximum height y (0.86) = 20 sin(25°)(0.86) - (1/2) (9.8) (0.86) 2 = 3.64 meters

b) The time of flight is the interval of time between when projectile is launched: t1 and when the projectile touches the ground: t2. At t = t1 and t = t2, y = 0 (ground). Hence

V0 sin(θ) t - (1/2) g t2 = 0

Solve for t

t(V0 sin(θ) - (1/2) g t) = 0

two solutions

t = t1 = 0 and t = t2 = 2 V0 sin(θ) / g

Time of flight = t2 - t1 = 2 (20) sin(θ) / g = 1.72 seconds.

c) In part c) above we found the time of flight t2 = 2 V0 sin(θ) / g. The horizontal range is the horizontal distance given by x at t = t2.

range = x(t2) = V0 cos(θ) t2 = 2 V0 cos(θ) V0 sin(θ) / g = V02 sin(2θ) / g = 202 sin (2(25°)) / 9.8 = 31.26 meters

d) The object hits the ground at t = t2 = 2 V0 sin(θ) / g (found in part b above)

The components of the velocity at t are given by

Vx = V0 cos(θ)       Vy = V0 sin(θ) - g t

The components of the velocity at t = 2 V0 sin(θ) / g are given by

Vx = V0 cos(θ) = 20 cos(25°)       Vy = V0 sin(25°) - g (2 V0 sin(25°) / g) = - V0 sin(25°)

The magnitude V of the velocity is given by

V = √[ Vx2 + Vy2 ] = √[ (20 cos(25°))2 + (- V0 sin(25°))2 ] = V0 = 20 m/s


Related Questions

Placing ice on a sprained ankle this is an example of conduction, convection, radiation?

Answers

Conduction because that’s when energy transfers by two things touching each other


Vector L is 303 m long in a
205º direction. Vector M is
555 m long in a 105° direction.
Find the magnitude of their
vector sum

Answers

Answer:

584.32m

Explanation:

Firstly, we need to find the x and y components of each vector.

x-component for vector L=303cos205°=-274.61

y-component for vector L=303sin205°=-128.05

x-component for vector M=555cos105°=-143.64

y-component for vector M=555sin105°=536.09

Since it's the vector sum, we add the x and y components of each vector.

Resultant vector x-component -274.61+(-143.64)=-418.25

Resultant vector y-component -128.05+536.09=408.04

Now, to find the magnitude, we use the formula [tex]\sqrt{x^{2}+y^{2}}[/tex]

sqrt(-418.25^2+408.04^2)=584.32m

Check my work for errors just in case.

if you walk 8km at an average speed of 4km/h, how much time does it take

Answers

Answer:

2 hours

Explanation:

Distance = rate x time
8km = 4km/h x time
Time = 2 hours

what causes list development of a country ?why is Nepali still one of the least developed countries? write in points​

Answers

Nepal is still least developed country because
1. The people are still believing superstitious belief in some parts
2. People are drinking alcohol and taking drugs instead of thinking about the development
3. People are not utilizing the resources properly
4. Lack of industry

I hope this is enough

plz help i beg, veryyy confused :)

Answers

Displacement is distance in one particular direction. Distance is the route taken without worrying about the direction.
To find the displacement draw a straight line from the start point to the end point. Measure the length and use the scale to find the real distance.
Ask me if you need more help.

A Galapagos tortoise weighs 59 Newtons (on Earth). What is its mass in kilograms?

Answers

Answer:

It is 6.02 kilograms.

Explanation:

One kilogram is equal to 9.81 Newtons. To convert Newtons to Kilograms,divide by 9.81. For instance, 20 Newtons would be equivalent to 20/9.81 or 2.04 kilograms

How will you describe the motion of an object in a balanced and unbalanced
state? ASAP​

Answers

Answer:

Objects move according to their net force, or the total amount of force acting on them. Balanced forces are just that, balanced. An object with balanced forces will not move because the opposing forces will cancel each other out. However, if there are unbalanced forces, the object will move in accordance with the force that is greater. When moving though, there is always friction. Whether you be underwater, on the ground, or in the air there is always friction on the Earth. (Besides vacuums, of course.)

Force is equal to mass x acceleration.

With that you can find the forces of the object if you know its mass and acceleration.

Explanation:

The motion of an object can be described in many ways, including path, speed, velocity, and acceleration.

A dog walks a distance of 55.5 meters in 120 seconds. What was its speed?

A car travels 600 seconds at a speed of 25 m/s. How far did it go?

How long will it take a toy car to travel a distance of 1500 m at a speed of 3 m/s?

A car travels a distance of 9999 m in 3600s. What was its speed?

A sailboat travels a distance of 8080 m in 7200 seconds. What speed is it going?

What distance will a car traveling at a speed of 5.5 m/s cover in 0.25 s?

How long will it take a ball to roll 10 meters along the floor at a speed of 0.11 m/s?

Show work pls

Answers

Answer: ...

Explanation: 1: The dog is walking 0.4625MPS (Meters per second. M/S)

To calculate speed you divide the distance by time so 55.5 Meters/120 Seconds is 0.4625 MPS

2: The car traveled 15 KM

To calculate speed you need to multiply the speed by time. (Since it's multiplication it can be put in any order) So 600 Secondsx25 Meters is 15,000 M which is 15 KM.

3: It would take 8 Minutes and 20 Seconds to travel 1500 Meters.

To calculate the time you multiply Speed by distance (Order doesn't count.)

So 1500 Metersx3 MPS is 8 Minutes and 20 seconds.

4: It was going 2.7775 MPS.

To calculate the speed you divide the distance over time. So 9999 Meters/3600 seconds is 2.7775 MPS.

5: It was going 1.1222... (Infinite)

To calculate the speed you divide the distance over time

So 8080 Meters/ 7200 Seconds is 1.222...

6: It would cover 1.375 Meters.

To calculate the Distance you multiply Speed by time (Order doesn't count.)

So 10.25 Secondsx5.5 MPS is 1.375 Meters.

7: It would take 1 Minute and 31 Seconds to travel 10 Meters.

To calculate the time you multiply Speed by distance (Order doesn't count.)

So 10 Metersx0.11 MPS is 1 Minute and 31 seconds

Hopes this helps because this took over 10 minutes.

How far will a 50 N crate be moved if 500 J of work are accomplished?

Answers

Formula: F=w*d => d=F/w
Since F=500j, w=50N
=>d= 500/50=10m
So, D=10m

What is electronegativity? (2 points)
An atoms ability to attract other electrons and form a chemical bond
A type of electricity only found in some atoms
The total number of electrons in an atom
A property of electrons that give them a negative charge

Answers

Answer:

the first one

Explanation:

an atoms ability to attract other electrons and form a chemical bond

since other one got deleted :(

Electronegativity is an atom's ability to attract other electrons and form a chemical bond.

What is electronegativity?

The tendency of an atom of a given chemical element to attract shared electrons (or electron density) when forming a chemical bond is known as electronegativity.

The electronegativity of an atom is affected by its atomic number as well as the distance between its valence electrons and the charged nucleus. The higher the associated electronegativity, the more an atom or substituent group attracts electrons.

Electronegativity is a simple way to quantify bond energy as well as the sign and magnitude of a bond's chemical polarity, which characterizes a bond along a continuous scale from covalent to ionic bonding.

Hence, electronegativity is an atom's ability to attract other electrons and form a chemical bond.

Learn more about electronegativity here:

https://brainly.com/question/17762711

#SPJ2

Does frequency of sound change with the temperature?

Answers

Answer:  Temperature is also a condition that affects the speed of sound. Molecules at higher temperatures have more energy, thus they can vibrate faster. Since the molecules vibrate faster, sound waves can travel more quickly. The speed of sound in room temperature air is 346 meters per second.

Explanation: so basically, yes!

Describe the three particles that make up an atom (name, charge, and location in the atom).

Answers

Answer:Protons, neutrons, and electrons are the three main subatomic particles found in an atom. Protons have a positive (+) charge. An easy way to remember this is to remember that both proton and positive start with the letter "P." Neutrons have no electrical charge.

Proton is positive
Neutron is neutral
Electron is negative

The nucleus is made of protons and neutrons while the electrons surround the nucleus in the form of probability “clouds”

What is population education?

Answers

Answer:

Is all about people – how many of us there are, how we shape the world around us, and how we interact with each other.

Explanation:

Answer:

Population is derived from French word "populous" meaning 'people' so population is study of people living together and education is life long knowledge.

Explanation:

sana makatulong

Billy, a mountain goat, is rock climbing on his favorite slope one sunny spring
morning when a rock comes hurtling toward him from a ledge 40.0 m above.
Billy ducks and avoids injury. a) How fast is the rock traveling when it passes
Billy? b) How does this speed compare to that of a car traveling down the
highway at the speed limit of 25 m/s (equivalent to 55 mi/h)?

Answers

Answer:

There is not enough information to solve how fast the rock was traveling

They are both very fast, as mountain goats are very fast, and if he ducks, he was faster than the rock. The speed compares

Explanation:

I did find this tho.

This question can be solved by using the law of conservation of energy.

a) The rock is traveling at "28 m/s" when it passes billy.

b) The speed of the rock is "1.12 times" the speed of the car.

a)

We can find the speed of the rock by using the law of conservation of energy:

Loss of Potential Energy = Gain in Kinetic Energy

[tex]mgh = \frac{1}{2}mv^2\\\\2gh = v^2\\v = \sqrt{2gh} \\\\[/tex]

where,

v = speed of the rock = ?

g = acceleration due to gravity = 9.81 m/s²

h = height = 40 m

Therefore,

[tex]v = \sqrt{2(9.81\ m/s^2)(40\ m)}[/tex]

v = 28 m/s

b)

Now, we find the ratio between the speed of the rock and the speed of the car:

[tex]\frac{speed\ of\ rock}{speed\ of\ car} = \frac{28\ m/s}{25\ m/s}\\\\speed\ of\ rock = (1.12)speed\ of\ car[/tex]

Learn more about the law of conservation of energy here:

https://brainly.com/question/20971995?referrer=searchResults

The attached picture explains the law of conservation of energy.

Contact forces & friction. Please help!!! (20 points & brainliest!)

Answers

Let w denote the weight of the box, n the magnitude of the normal force (the sheet pushing up on the box), k the magnitude of the kinetic friction force, and µ the coefficient of kinetic friction.

The kinetic friction force doesn't kick in until the sheet is tilted at an angle θ₂. Since the box is sliding down at constant speed, it's in equilibrium and the forces acting on it sum to 0.

In the horizontal direction (literally left-and-right, parallel to the ground and not the sheet), we have only the horizontal components of the friction and normal forces to worry about, so that [tex]\mathbf n_x+\mathbf f_x=\mathbf0[/tex], which reduces to

f cos(θ₂) + n cos(90º + θ₂) = 0

(where we take the right to be positive and left to be negative)

Recall that cos(90º + x) = -sin(x) for all x, and that the friction force is proportional to the normal force by a factor of µ. This gives

µ n cos(θ₂) - n sin(θ₂) = 0

Solve for µ :

µ n cos(θ₂) = n sin(θ₂)

µ = sin(θ₂) / cos(θ₂)

µ = tan(θ₂)

Acceleration
A car traveling to the right speeds up from Okm/h to 50km/h in 8s. Convert the time from seconds to minutes.

Answers

Explanation:

Initial speed, u = 0 km/h

Final sped, v = 50 km/h

Time, t = 8 s

1 minute = 60 seconds

⇒ 1 s = (1/60) minutes

⇒8 s = 0.1334 minutes

Acceleration,

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{50\cdot\dfrac{5}{18}}{8}\\\\a=1.73\ m/s^2[/tex]

Hence, this is the required solution.

How far can a person run in 13.22 minutes if he or she runs at an average speed of 12.33 km/hr?

Answers

Answer:

2.72 km

Explanation:

(12.33 km)/ 1 hr * (1 hr)/ 60 min

0.2055 km/ min

distance=rate * time (assuming v is constant,

a=0)

(0.2055 km/ min)*(13.22 min)

2.72 km OR 2716.71 m

Select all that change when adding or subtracting a Proton

Question 1 options:

Atomic Mass


Atomic Number


Charge


Which Element the atom is
I NEED ANSWER ASAP PLZ HELP!!!

Answers

Answer:

Explanation:

To the atomic mass;

1.   Atomic mass is the number of protons + neutrons;

  When a new proton is added, the atomic mass increases.

   When a proton is removed, the atomic mass reduces

The mass of an atom is concentrated in the nucleus where there is the proton and neutron.

2. Atomic number is the number of protons:

When a new proton is added, the atomic number increases

When a new proton is removed, the atomic number reduces

3. Charge:

 An atom is neutral if the number of positive charges is the same as negative charges:

    Protons = electrons

If :

   Protons > electrons = +Ve charges

   Protons < electrons =  -Ve charges

The image below shows the same egg in water (on the left) and in seawater (on the right). What must be true about these liquids?

a
The seawater is less dense than the plain water
b
The seawater is denser than the plain water
c
The plain water and the seawater have equal densities
d
It is impossible to tell which liquid is denser

Answers

Answer:

C

Explanation:

the correct answer is C

The gravitational force of the Earth on the Moon is 1.99 x 1020 N.
If the mass of the Moon is 7.34 x 1022 kg, what is the acceleration
of the Moon?

Answers

Explanation:

ANSWER

g

m

=

R

2

GM

1.4=

R

2

(6.667×10

−11

)(7.34×10

22

)

R=

1.4

6.667×10

−11

(7.34×10

22

)

=

34.95×10

11

=1.87×10

6

m

HOPE IT'S HELP AND PLZ FOLLOW ME


A rock is thrown off a cliff with a horizontal velocity of 18.3 m/s. Right before it hits the ground, it has a vertical velocity of -31.3 m/s. What is the magnitude of the rock's overall velocity?

Answers

Answer: 36.257 m/s

Explanation:

The vertical and horizontal components of a projectiles motion are completely independent of each other. The only thing they share is the amount of time in the air. Because they are independent, the acceleration of gravity cannot affect the horizontal acceleration. This means horizontal acceleration is 0. If the acceleration is 0, this means the velocity does not change horizontally. So the final velocity of the x component is equal to the initial.

Now if you actually imagine these two vectors, it forms a right triangle. So you can use the Pythagorean Theorem to find the resultant vector.

[tex]a^2+b^2=c^2\\18.3^2+(-31.3)^2 = c^2\\c = 36.257 m/s[/tex]

We can see Newton’s 3rd law everyday when what ?

Answers

Answer:

answer down below

Explanation:

hi! newton's third law applies to a lot of things. this is shown when we jump, bounce a ball, or push something, for example. the law states that for every action, there an equal and opposite reaction. when you bounce a ball, it bounces back up at the same force at which you dropped it.

hope this helps!

3
Select the correct answer
A kilogram is an si unit. Which quantity might you measure in kilograms?
О А.
temperature
B.
mass
C. length
D.
electric current
Reset
Next

Answers

Answer:

mass

.

Explanation:

Answer:

It would be B

Explanation:


Which land feature is formed by two oceanic tectonic plates diverging? *
mid-ocean ridge
volcanic island arc
continental volcanoes
continental mountain range

Answers

Answer:

mid-ocean ridge

Explanation:

When two oceanic tectonic plates diverge, it means they pull away from each other. When this happens, new land is created where the two plates moved apart.

Answer:

Mid-Ocean Ridge

Explanation:

Just trust me

It is considered aerobic dance if you dance 3-4 times a week for at least 45 minutes each time.

Question 2 options:
True
False

Answers

Answer:

yes

Explanation:

yes

So I just did the quiz and I just guessed cause I couldn't find a straight answer but I was right. the answer is

TRUE

~

YES, it was considered aerobic dance if you dance 3-4 times a week for at least 45 minutes each time.

What is the fastest speed at which a tennis ball can cross the net horizontally and still land in the court? From the net to the end line is 12 m, and the height of the net is 1 m. Neglect air resistance and spin on the ball.

A. 0.04 m/s
B. 27 m/s
C. 53 m/s
D. 45 m/s

self note *6

Answers

Answer:

B. 27 m/s

Explanation:

The horizontal velocity of the ball is 27 m/s

The given parameters;

horizontal distance, x = 12 mheight of the net, h = 1 m

The time of motion is calculated as;

h = ut + ¹/₂gt²

1 = 0 + (0.5 x 9.8)t²

1 = 4.9t²

[tex]t^2 = \frac{1}{4.9} \\\\t^2 = 0.205\\\\t = \sqrt{0.205} \\\\t = 0.45 \ s[/tex]

The horizontal velocity of the ball is calculated as;

X = uₓt

[tex]u_x = \frac{X}{t} = \frac{12}{0.45} = 26.7 \ m/s \ \approx 27 \ m/s[/tex]

Thus, the horizontal velocity of the ball is 27 m/s

Learn more here:https://brainly.com/question/9606019

Unlike secondary pollutants,
pollutants are
released directly into the air by natural processes or by human
activities

Answers

Answer:

True

Explanation:

List 3 objects that would sink in water & 3 object that would float in water :)​

Answers

Answer:

items that would sink : spoon marbles rocks

Explanation:

items that would float : straw feather cotton

Which is an example of nuclear energy being converted into heat and light?

A a volcano
B The sun
C A rocket engine
D A coal burning power plant

Answers

Answer:

D.   A coal burning power plant

Explanation:

it is a coal power plant , nuclear power is economical and does not fluctuate as much as wind or solar power.

Unlike coal, it is considered clean in terms of the amount of greenhouse gas emissions produced by the power plant itself, although uranium mining and processing are not without risks and environmental impact

Select the correct answer.
A car traveling south is 200 kilometers from its starting point after 2 hours. What is the average velocity of the car?
А.
100 kilometers/hour south
B.
200 kilometers/hour
C.
200 kilometers/hour north
D.
100 kilometers/hour

Answers

Answer:

D) 100 kilometres/hour.

Explanation :

Given -

Displacement = 200 kmTime taken = 2 hrs.

To find -

Average velocity of the car.

Solution -

★ Velocity = displacement/time

→ V = 200/2

v = 100 km/h

Therefore, the average velocity of the car is 100 km/h.

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