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

A 80.0kg football player running at 12.5 m/s North runs into a 120.kg player running South. The 120.kg player grabs the other one so they move together at -4.50m/s. What was the velocity of the 120.kg player?

Answers

Answer:

p=-540kg•m/s

Explanation:

because I used a calc

The force needed to stop an object in motion is called?

Answers

force called friction

The force applied to object to stop its motion is known as frictional force.

Newton's first law of motion states that an object in a state of rest or uniform motion in a straight line, we continue in that form unless it is acted upon by an external force. This reluctance of an object to move or stop moving is known as the object's inertia. This inertia depends on the mass of the object.

When an object is finally in motion, the friction, between the object and the surface on which it is moving tends to limit the motion.

Thus, to stop an object in motion, we increase the frictional force between the object and the surface on which the object is moving

Learn more here: https://brainly.com/question/12012843

a hypothesis is
a- an experiment
b - a question
c - an educated guess ( an ' inference ;)
d - a conclusion

Answers

Answer:

D a conclusion

Explanation:

The definition of hypothesis is a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation

is c an educated guess because is a guess of what might happen in the experiment

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

What is the name of the system for conducting a scientific investigation?

1. Comparative analysis
2. Scientific Method
3. Evaluation Process
4. Trial by error

Answers

Answer:

i beleive it is 2

Explanation:

What did scientists create using scientific measurements?

Answers

Answer:

lines?

Explanation:

A student ties a ball at the end of a string and whirls the string at a constant speed. If the radius of the circle along which the ball moves is 1.2 m and the acceleration is 7.5 m/s2what is the speed of the ball?

Answers

a = v ² / R

where a is acceleration, v is speed, and R is the radius. So

7.5 m/s² = v ² / (1.2 m)

v ² = (7.5 m/s²) / (1.2 m)

v ≈ 6.8 m/s

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

2. The Himalayas in central Asia are the tallest mountains in the world. But fossils of seashells can be found high in these mountains, far from any ocean.
How do you think they got there?

Answers

Answer:

The sea level could have been much higher in the past.

Explanation:

The tectonic plates shifted and the mountain rose from there.

They are trapped throughout the rock whereas the seashells have been on the floor of a modest seafloor.

These same containers dropped down on the base of the silt level or sheet, as well as those layering finally became rock.Few more million generations previously, the Indian civilization or the subcontinent crashed well with the continents of Asia, making the Himalayan mountains rock which thus previously were such a sea level.

Thus the above response is appropriate.

Learn more about the Himalayan mountains here:

https://brainly.com/question/20673296

Calculate the distance a baseball will travel if it moves at a speed of 30 m/s for 2.5 seconds.

Answers

Answer:

speed = 12 miles per second

= 12 mi/s

Explanation:

dont skip and pls help ASAP bc if you do i will give 10 pts + brainliest but pls hurry

Answers

ANSWER

Mass: The resistance of an object to acceleration, size-dependent

Volume: The amount of space an object occupies

Boiling point: The temperature at which a liquid boils and turns to vapor.

Melting point: The temperature at which a solid melts and turns to liquid

Density: Size-independent

Solubility: The ability of a substance (solvent) to dissolve when placed in a liquid (solute)

Magnetism: Size-dependent

EXPLANATION:

Mass: the more mass something has, the harder it is to accelerate. This is somewhat intuitive, but is also demonstrated in newton's third law. It's size-dependent because for an object of a given density, the size (volume) will change the mass.

Volume: big objects take up more space. If you put an apple in bucket filled to the brim with water, a little water will splash out, because the apple is now occupying the space that the water used to, but if you put in a watermelon, a lot of water will splash out, because the watermelon is taking up even more space.

Boiling point: when a liquid gets too hot, it will change to gas (example: water to steam)

Melting point: when a liquid gets too cold, it will change to a solid (example: water to ice)

Density: how much mass there is in a given volume. A sphere made of lead will have more mass than a sphere made of wood, even if they are the same size. Size-independent because a big lead sphere has the same density as a small lead sphere, they just have different masses.

Solubility: some substances dissolve in certain solvents, other's don't.

Magnetism: size-dependent because a bigger magnet is stronger than a smaller one if they are identical in every other way. More space means more domains means a stronger magnet.

Answer:

i agree

Explanation:

In addition to hot surface temperatures, which characteristic makes mercy different from earth

Answers

Answer:

has no air on it and no animals or plants live there.


Please help me

1. Rank the following items from MOST
inertia to LEAST inertia: Chick Fil A
Biscuit, Feather, Elephant, a 1st grader.

Answers

Answer:firt answer corrcect who answerd

Explanation:

Feather, Biscuit, a 1st grader, Elephant is order of  LEAST inertia to MOST inertia.

What is inertia?

Inertia is the resistance of an object to any change in motion. Inertia is proportional the mass of the object: in fact, as we experience in common situations, the larger the mass of an object, the more difficult it is to change its motion.

Inertia of an object is its inherited property. It is the measure of its mass. It is clear that the inertia of an object depends directly on its mass. Mass of an object is the amount of matter contained in it. It is same at every location.

Given that in the case four thing Biscuit, Feather, Elephant, a 1st grader out of which Feather, Biscuit, a 1st grader, Elephant is order of  LEAST inertia to MOST inertia.

Feather, Biscuit, a 1st grader, Elephant is order of  LEAST inertia to MOST inertia.

To learn more about inertia refer to the link:

brainly.com/question/3268780

 #SPJ2

A piece of copper with a volume of 100cm3 has a mass of 890 g. Explain how you could use this information to find out how much mass would be in 13cm3 of copper.


plz help this q. is due today

Answers

Answer:

115.7g

Explanation:

Given parameters:

    Volume of copper  = 100cm³

    Mass of copper  = 890g

Unknown:

Mass of 13cm³ copper  = ?

Solution:

We know that the two materials are both made up of copper. Since we know the mass and volume of the first one, let us solve for the density. Using the density of the first one, we can determine the mass of the second one by the given volume.

Density is an intrinsic property of matter. It has the same value for every given substance.

It is expressed as mass per volume of  a substance;

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

Input the parameters and solve;

  Density  = [tex]\frac{890}{100}[/tex]  = 8.9g/cm³

Now to find the mass of the 13cm³ copper;

       Mass  = density x volume

       Mass  = 8.9 x 13  = 115.7g

The unit we use to measure speed is

Answers

Answer:

However, to mention a few, there are other units of speed such as meters per second, feet per second, light-years per millennium, and knots. Feet per second, but specially meters per second are usually used to measure speed of animals, humans, and free fall objects. Knots is used to measure the speed of ship and/or boats.

Explanation:

Please help!! i will mark brainly

Answers

Answer:

The object sped up, moved at constant speed, then slowed down.

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

Answers

Answer:

True

Explanation:

A cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to have the cannonball travel a target distance of 400m. Based on this, will the cannonball reach the target distance?

A. Yes, the cannonball will hit its goal
B. More information is needed to determine the outcome
C. No, the cannonball will overshoot its goal
D. No, the cannonball will fall short of the goal

self note *9

Answers

Answer:

D. No, the cannonball will fall short of the goal

Explanation:

Based on the information given in the problem,  No, the cannonball will fall short of the goal, therefore the correct answer is option D.

What are the three equations of motion?

There are three equations of motion given by Newton,

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem a  cannonball is launched off a 100 m cliff horizontally with an initial velocity of 50 m/s. The goal is to have the cannonball travel a target distance of 400 meters,

By using the second equation of motion in the vertical direction,

100 = ut + 0.5*9.81*t²

t = 4.51 seconds

The distance traveled by the cannonball in the horizontal direction at the same time = 4.51*50

                 =205 meters

Thus, based on the information given in the problem,  No, the cannonball will fall short of the goal, therefore the correct answer is option D.

To learn more about equations of motion here, refer to the link;

brainly.com/question/5955789

#SPJ2

what are derive quantities​

Answers

Answer:

Derived quantities are quantities that are calculated from two or more measurements. Derived quantities cannot be measured directly. They can only be computed. Many derived quantities are calculated in physical science. Three examples are area, volume, and density.

Answer:

What is derive quantities​?

Derived quantities are those that may be expressed in terms of base or derived quantities by means of the mathematical symbols of multiplication and division only (no addition or subtraction or any other sign). ... The first group consists of derived quantities, which have proper units. Derived quantities are expressed as algebraic combinations of base quantities.

Examples of the Derive quantities

Derive Quantity and their units

Volume, V =Density, p = kgm⁻³Velocity, v = ms⁻¹Force, F = NAcceleration, a = ms⁻²

An electric current of 0.05 A passes through a circuit that has a resistance of
15 2. According to Ohm's law, what is the voltage of the circuit?

A. 15.1 V
B. 300 V
C. 0.003 V
D. 0.75 V

Answers

The voltage of the circuit will be 0.75 V.The potential difference between the circuit is known as the voltage.

What is ohm’s law?

Ohm's law claims that the voltage across a conductor is directly proportional to the current flowing through it.

This current-voltage connection may be expressed mathematically as,

The Equation of Ohm's Law

[tex]\rm V=IR \\\\ V= 0.05 \times 15.2 \\\\\ \rm V=0.75 \ V[/tex]

The voltage of the circuit will be 0.75 V.

Hence option D is correct.

To learn more the ohm's law refer to the link;

https://brainly.com/question/796939

Noah Formula is in airplane which is flying at constant speed in a circular course of radius 5000 m., circling O'Hare Airport prior to landing. Noah observes that the plane completes each round trip in 400 seconds. What is the speed of the airplane? What is centripetal acceleration?

Answers

Answer:

(a). The speed of the airplane is 78.53 m/s.

(b). The centripetal acceleration 1.234 m/s².

Explanation:

Given that,

Radius = 5000 m

Time = 400 second

We need to calculate the speed of the airplane

Using formula of speed

[tex]v=\dfrac{d}{t}[/tex]

[tex]v= \dfrac{2\pi r}{t}[/tex]

Put the value into the formula

[tex]v=\dfrac{2\times\pi\times5000}{400}[/tex]

[tex]v=78.53\ m/s[/tex]

We need to calculate the centripetal acceleration

Using formula formula

[tex]a=\dfrac{v^2}{r}[/tex]

Put the value into the formula

[tex]a=\dfrac{78.53^2}{5000}[/tex]

[tex]a=1.234\ m/s^2[/tex]

Hence, (a). The speed of the airplane is 78.53 m/s.

(b). The centripetal acceleration 1.234 m/s².

Which statement about mass and inertia is not true?
A. Both mass and inertia play a role in Newton's first law.

B.Mass is a quantitative measurement of inertia.

C. The tendency of an object to remain at rest results from a property called inertia.

D.Newton's first law is sometimes called the relative inertia law.""​

Answers

Answer:

D. Newton's first law is sometimes called the relative inertia law.

Explanation:

Newton's first law of motion states that an object at rest will stay at rest and that in motion will stay in motion with same speed and in the same direction unless an unbalanced force acts on it. It is also called the law inertia. Mass and inertia play a role in this law because mass is a quantity that mainly depends on inertia in that a body with more inertial will exhibit more mass.

What is the wavelength of a wave with a frequency of 466 Hz and a speed of
343 m/s?
A. 1.35 m
B. 0.74 m
C. 1.6 x 105 m
D. 6.25 x 10-6 m

Answers

Answer:

The answer is option B

Explanation:

The wavelength of a wave can be found by using the formula

[tex] \lambda = \frac{c}{f} \\ [/tex]

where

c is the speed of the wave

f is the frequency

From the question

c = 343 m/s

f = 466 Hz

We have

[tex] \lambda = \frac{343}{466} \\ = 0.73605150...[/tex]

We have the final answer as

0.74 m

Hope this helps you

Answer: B: 0.74 m

Explanation:

Hope this helps / I did this question.

A student leaves a pencil on a desk and the pencil stays in the same spot until another student picks it up. Which law would that be?

Answers

The first law

In Newtons first law it states that an object will not change its motion unless a force acts upon it.

Answer:1st law

Explanation:

A thin plastic rod of length 2.5 m is rubbed all over with wool, and acquires a charge of 75 nC, distributed uniformly over its surface. Calculate the magnitude of the electric field due to the rod at a location 7 cm from the midpoint of the rod. Do the calculation two ways, first using the exact formula for a rod of any length, and second using the approximate formula for a long rod.

Answers

Answer:

find out the le

Explanation:

A space-walking astronaut has become detached from her spaceship. She's floating in space while holding a wrench. She is thinking about how she might get back to the ship, which she can see 50 m from her current location. Which of Newton's three laws will help her the most to get back to the ship?

Answers

Answer:

please find the solution which is defined as follows:

Explanation:

Throughout the opposite direction, she not able to throw her tool-belt. In this scenario, she will be sending her floating through her ship. Unless interrupted, it could refer to Newton's The rule of it in motion remains in motion. Consequently, if they throw it one way because there are no molecules to interrupt your course, you can continue to go the other way.

What speed should a spaceship of mass 5.21 x 107kg moving around a planet
only by the gravitational force be, if the distance between them is 6.27 x 108 m
and the mass of the planet is 4.76 x 1026 kg? Estimate G as 6.67 * 10-11 N (m/kg)

A. 7.12 x 103 m/s
B. 6.23 x 103 m/s
С. 4.25 x 103 m/s
D. 7.43 105 m/s
E. 7.25 x 103 m/s

Answers

Answer: A

Explanation:

The speed of the spaceship  moving around a planet only by the gravitational force  is 7.12 × 10³ m/s.

What is centrifugal force?

A fictitious force that moves in a circle and is directed away from the center of the circle is called centrifugal force. When measurements are taken in an inertial frame of reference, the force does not exist. It only becomes relevant when we switch from a ground/inertial reference frame to a rotating reference frame.

The centrifugal force's unit is newton.

As the gravitational force is balanced by centrifugal force is orbital motion:

Gravitational force =centrifugal force

GMm/r² = mv²/r

v² = GM/r

v = √( GM/r)

= √(6.67×10⁻¹¹ ×4.76  ×10²⁶/6.27 ×10⁸)

= 7.12 × 10³ m/s.

Hence, The speed of the spaceship  is 7.12 × 10³ m/s. Hence, option (A) is correct.

Learn more about centrifugal force here:

https://brainly.com/question/17167298

#SPJ2

Where is mercury naturally found?

Answers

wellll that would be in earth crust

Answer:

in space

Explanation:

its a planet

At $0.095/kwh, what does it cost to leave a 25 w porch light on day and night for a year?

Answers

Answer:

It will cost $20.81

Explanation:

Cost of Electricity

The rate of the cost of electricity is usually expressed in $/KWH because the consumption of electricity is measured in Kilowatts-hour.

If a 25W porch light is on day and night for a full year, the electricity consumption is:

25W*24 H/Day*365 Day/year* 1 year=219,000 WH

converting to KWH: 219,000 WH = 219,000 /1000 KWH = 219 KWH

The rate is $0.095/KWH, thus:

The cost of electricity is 219 KWH*$0.095/KWH= $20.81

It will cost $20.81

what are 5 different movements you can use to warm up

Answers

Answer:

1) Jumping Jacks (their a great way to get blood into your muscles and keep your blood running)

2) Toe touches (helps warm up your hamstring so you won‘t get injured easily)

3) Jog in place (Warm up leg muscles and whole body)

4) Arm circles (Warms up arm muscles)

5) 10,10,9,9. (This is something I like, you hop on 1 foot for 10 times and then switch to your other foot ten times without stopping, but after the ten you go back foryour previous hopping leg and hop 9 times this time and same for your other foot, THEN hop 8 times with the foot you started with and, keep going in that order in decending order until you reach 1, (a great way to warm up leg muscle)

Other Questions
Using the table below, what is Esmeralda's take-home pay? What were the roman consuls allowed to do in time of crisis? Alchemy is the process of trying to turn non-gold metals into gold. It was practiced hundreds of years ago by scientists who believed that with the right amounts of heat or chemical reactions, they could make gold. After years of experiments and observations, gold was never produced. Which best describes the practice of alchemy? Alchemy was scientific, because scientists practiced it. Alchemy was scientific, because it included observations and experiments. Alchemy was pseudoscientific, because beliefs came before any observations of success. Alchemy was pseudoscientific, because some successful experiments inspired others. Por favor aydeme con mi tarea de matemticas... Son ecuaciones2x + 4y=10-x+5=9 Ray won't eat cream of wheat cereal. He doesn't particularly enjoy the taste or texture of the cereal. Based on thisinformation, Ray most likely has a problem with theof cream of wheat.A. appearanceB. satiabilityC. availabilityD. palatability Which historical detail best helps clarify a readers understanding of the information in the excerpt? What is the slope of the trend line drawn into the scatterplot?A. 15/163B. 11/109C. 109/11D. 163/15 A cell is a system TrueFalse Based on this map, describe the movement of early people from their starting point in Africa. Mina finds out that a company is pumping water from an aquifer near her home. What can Mina conclude about thewater being pumped?The water being pumped is under a lot of pressure and comes from a confined aquifer.The water being pumped is under a lot of pressure and comes from an unconfined aquifer.The water being pumped is at atmospheric pressure and comes from a confined aquifer.The water being pumped is at atmospheric pressure and comes from an unconfined aquifer. Giwe two Escample of translucentObject If you give me your Netflix account I will give 50 points in my other questions how are ocean trenchers formed?A. when oceanic plate cooled and moves to the surface of the ocean B. when the denser plate sinks C. when molten rock cools and solidifiesD.when magma accumulates on the ocean floor A cake recipe calls for 0.75 kg of butter. How many grams of butter would be needed for 4 cakes Nora lies to torvald about macaroons about working to pay of a loan and about borrowing money without his consent why does she lie? Select all values that make the equation true.2(x - 8) = x + 5xX = -4X = -16X = -2X = 0 my little brother needs help and my dad wont let me help him so im posting this for him HELP ASAP Explain when do we have an acceleration. Who established the Presidents Panel on Mental Ret*rdation?a. Dorothea Dixb. John F. Kennedyc. Franklin Delano Roosevelt An organisms niche is aall the physical and biological factors in the organisms environment. ba full description of the place an organism lives. cthe way the organism uses the range of physical and biological conditions in which it lives. dthe range of temperatures that the organism needs to survive.