A batter hits the baseball A with an initial velocity of v0 = 100 ft/sec directly toward fi elder B at an angle of 30° to the horizontal; the initial position of the ball is 3 ft above ground level. Fielder B requires 14 sec to judge where the ball should be caught and begins moving to that position with constant speed. Because of great experience, fi elder B chooses his running speed so that he arrives at the "catch position" simultaneously with the baseball. The catch position is the fi eld location at which the ball altitude is 7 ft. Determine the velocity of the ball relative to the fi elder at the instant the catch is made.

Answers

Answer 1

Answer:

47.4 ft/s

Explanation:

Using v² = u² - 2gs where u = initial vertical velocity of ball = 100sin30, v = final vertical velocity of ball at the time it was caught by the fielder, g = acceleration due to gravity = 32 ft/s² and s = vertical displacement = y₂ - y₁, y₁ = 3 ft and y₂ = 7 ft. s = y₂ - y₁ = 7 - 3 = 4 ft

Substituting these values into the equation, we have

v² = u² - 2gs

v² = (100sin30)² - 2 × 32ft/s² × 4 ft

v² = (100sin30 ft/s)² - 256 ft²/s²

v² = (50 ft/s)² - 256 ft²/s²

v² = 2500 ft²/s² - 256 ft²/s²

v² = 2244 ft²/s²

v = √2244 ft²/s²

v = 47.37 ft/s

v ≅ 47.4 ft/s

So, the velocity of the ball relative to the fielder at the instant the catch is made is 47.4 ft/s.


Related Questions

A hiker walks 11 km due north from camp and then turns and walks 11 km due east. What is the magnitude of the displacement (on a straight line) of the hiker from the camp?

Answers

Answer:

16 km

Explanation:

Drawing a right triangle to model the problem helps. I started by drawing the lines of the triangle to model the hiker's journey- a vertical straight line for 11 km north and then a horizontal line connected to the top of it for 11 km east; I then drew the hypothenuse to connect the two lines.

The hypothenuse is what we have to solve for, so we will use the Pythagorean Theorem, a^2 + b^2 = c^2. Since both distances are 11 km both a and b in the equation are 11.

11^2 + 11^2 = c^2

121 + 121 = c^2

242 = c^2

c = 15.56

Rounding the answer makes it 16 km for the hiker's magnitude of displacement.

A block slides to the right on a rough horizontal surface. The forces exerted on the block are shown above. Which of the following statements about the frictional force Ff exerted on the block is true?


A) It is the only force acting on the block that is caused by microscopic interactions.


B) It does not depend on the materials that the block and the surface are made of.


C) It is caused by gravitational interactions between the atoms in the block and the atoms in the surface.


D) It is the sum of all the microscopic contact forces between the bottom of the block and the surface.

Answers

Answer:

The correct option is;

A) It is the only force acting on the block that is causes by microscopic interactions

Explanation:

The force of friction is the force due to the relative motion of two surfaces in the presence of a perpendicular force acting between the surfaces.

The force of friction comes into play from the additional effect of the adhesion that is present between surfaces, the roughness of the surfaces, the contamination or deformation of the surfaces which is generated by the microscopic interactions be between the two surfaces, rather than the applied force.

The characteristics of the friction force, you can find which statements are correct:

   D) It is the sum of all the microscopic contact forces between the bottom of the block and the surface.

The force is an image of the interactions between bodies, these interactions create binding energy that can be formed and broken, the friction force is the macroscopic sum of all these microscopic interactions between two different surfaces.

The magnitude of the friction force depends on the type of each surface, on rough surfaces the interaction area is high, therefore the friction force is high, on smooth surfaces the interaction area is small, therefore the force is small, a way to create superficiality is to place a layer of air between the two surfaces.

Based on these explanations, let's review the different statements:

A) False. The friction forces are caused by interaction, but between two bodies not within the same body, this is what maintains the shape and volume of the body.

B) False. The contact area depends on each surface and therefore each type of material

C) False. The gravitational force is this in the line of interaction between the two bodies, in this case the force is perpendicular to movement, not in the line of interaction.

D) True. It is the sum of the interactions in the contact between the two bodies, it agrees with the explanation above.

Using the characteristics of the friction force, we can find the statements that are correct is:

   D)  It is the sum of all the microscopic contact forces between the bottom of the block and the surface.

 

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A body of mass 10 kg is pulled by a force 8 N. calculate the acceleration and the the final velocity of the body after 5 second.​

Answers

Acceleration = force / mass = 8/10 m/s^2
After 5 s (from the start) velocity = 5 x 8/10= 4 m/s

The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car’s motion? A. It’s not moving. B. It’s moving at a constant speed. C. It’s moving at a constant velocity. D. It’s speeding up. i dont know if ive asked this before if i have sorry

Answers

answer i think its d because the car is gradually going up

Select the correct words from the drop-down menus to complete the sentence.
The
v work of a machine can never exceed the
work because
some of the work.
uses

Answers

Answer:

1. C

2. B

3. B

Explanation:

Took assignment on edge

The

are unicorns real or not

Answers

Answer:

no lol

Explanation:

A ball is thrown upwards into the air with an initial velocity of
17.5 m/s. What is the maximum height that the ball traveled
during that time (assuming there is no air resistance). Round your
answer to two decimals places.

Answers

Answer:

y = 15.61 [m]

Explanation:

To solve this problem we must use the following kinematics equation. We must bear in mind that the acceleration of gravity is negative since the direction of gravity is opposite to the direction of motion.

[tex]v_{f} ^{2} = v_{i} ^{2} -(2*g*y)[/tex]

where:

Vf = final velocity = 0

Vi = initial velocity = 17.5 [m/s]

g = gravity acceleration = 9.81 [m/s^2]

y = height [m]

The final speed is zero, since the ball reaches the maximum height its speed will be zero since it cannot be lifted up more.

0 = (17.5)^2 - (2*9.81*y)

306.25 = 2*9.81*y

y = 15.61 [m]

Which of the following is not a property of electromagnetic waves?

Answers

Answer: It does not include alpha rays

Explanation: It does not include alpha rays

Caitlin is riding her bike. Which of the following statements tells what is happening?

Answers

What are the following statements? If there's one that mention a description of current action, or motion, that's your answer.

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

Ignoring air resistance, if a 20 kg ball and a 400 kg crate were both dropped from the
top of a building, the acceleration of the crate would be
the acceleration
of the ball.

Answers

The crate’s acceleration is gravity= 9.81m/s^2
The ball’s acceleration is also gravity=9.81m/s^2


Two asteroids with masses 5.34 x 108 kg and 2.06 x 104 kg are separated by a distance of 5,000 m. What is the gravitational force between the asteroids? Newton's law of gravitation is F. Gm}m2. The gravitational constant gravity Gis 6.67 x 10-11 N.m²/kg². A. 1.47 x 10-⁶N
B. 4.00 N
C. 1.24 x 10³³ N
D. 2.93 x 10-¹⁰N​

Answers

Answer: D

Explanation: just completed this question on a p e x

Regarding Newton's 3rd Law, do we always see an equal effect on each object? Aka, are both objects always affected the same? Why so?

Answers

Answer:

not always ot depends mostly on the mass of each object and how the collode

which of the following is NOT a physical property of matter
A:Thermal Conductivity
B:Reactivity to water
C:Collor
D:Ductility​

Answers

Collor is not a physical property of matter

Un transformador reductor se usa para convertir un voltaje alterno de 10000 V a 500V ¿Cuál deberá ser la razón (N1/N2) entre las espiras si la corriente en el primario es de 1 amp. Y el transformador tiene un rendimiento del 100%. ¿Cuál es la corriente de salida?

Answers

Answer:

(a). The value of [tex]\dfrac{N_{1}}{N_{2}}[/tex] is [tex]\dfrac{1}{20}[/tex]

(b). The output current is 0.05 A

Explanation:

Given that,

Secondary voltage = 10000 V

Primary voltage = 500 V

Primary current = 1 A

(a). We need to calculate the value of [tex]\dfrac{N_{1}}{N_{2}}[/tex]

Put the value into the formula

[tex]\dfrac{V_{s}}{V_{p}}=\dfrac{N_{2}}{N_{1}}[/tex]

[tex]\dfrac{N_{1}}{N_{2}}=\dfrac{V_{p}}{V_{s}}[/tex]

Put the value into the formula

[tex]\dfrac{N_{1}}{N_{2}}=\dfrac{500}{10000}[/tex]

[tex]\dfrac{N_{1}}{N_{2}}=\dfrac{1}{20}[/tex]

(b). We need to calculate the output current

Using formula of current

[tex]\dfrac{I_{s}}{I_{p}}=\dfrac{N_{1}}{N_{2}}[/tex]

[tex]I_{s}=I_{p}\times\dfrac{N_{1}}{N_{2}}[/tex]

Put the value into the formula

[tex]I_{s}=1\times\dfrac{1}{20}[/tex]

[tex]I_{s}=0.05\ A[/tex]

Hence, (a). The value of [tex]\dfrac{N_{1}}{N_{2}}[/tex] is [tex]\dfrac{1}{20}[/tex]

(b). The output current is 0.05 A

Which is true A. You can see both lunar and solar eclipses from outside the shadow.B. You can see neither lunar and solar eclipses from outside the shadow. C. You can see only lunar from outside the shadow. D. You can see only solar eclipses from outside the shadow. .plz.help

Answers

Answer:

A

Explanation:

A lunar eclipse occurs when the Moon enters the Earth's shadow. A solar eclipse occurs when the Moon's shadow falls on the Earth. They do not happen every month because the Earth's orbit around the sun is not in the same plane as the Moon's orbit around the Earth.

The speed of an object changes only when it is acted on by an unbalanced force.

Answers

Answer:

If an object has a net force acting on it, it will accelerate. The object will speed up, slow down or change direction. An unbalanced force (net force) acting on an object changes its speed and/or direction of motion. An unbalanced force is an unopposed force that causes a change in motion.

Explanation:

I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)

what do waves create

Answers

Answer:

Waves transmit energy, not water, and are commonly caused by the wind as it blows across the ocean, lakes, and rivers. Waves caused by the gravitational pull of the moon and the sun are called tides.

Explanation:

Answer:

Waves are created by energy passing through water, causing it to move in a circular motion. However, water does not actually travel in waves. Waves transmit energy, not water, across the ocean and if not obstructed by anything, they have the potential to travel across an entire ocean basin. Waves are most commonly caused by wind. I hope this helped!

Two positively charged particles are 0.03 m apart. The first particle has a
charge of 8.1 C, and the second a charge of 2.6 C. Which change would
increase the electric force between the two particles?

Answers

Answer:1.3  103 N

Explanation:hope this helps.

Increasing the charge on each particle by 2.0C would increase the electric force between the two particles. Therefore, option (B) is correct.

What is coulomb's law?

According to Coulomb’s law, the force between two charged point charges is the product of the magnitude of their charges and is inversely proportional to the square of the distance between the point charges. This force usually acts along the line which is joining the two charges.

The magnitude of the electric force can be expressed mathematically:

[tex]F = k\frac{q_1q_2}{r^2}[/tex]

where k is constant and has a value of 8.99 × 10⁹ N.m²/C².

We have given the two-point charges 8.1 C and 2.6 C. The distance between them is equal to 0.03 m. From the above-written formula, we can say that the charge on the particles is directly proportional to the electric force, and the distance between the charged particles is inversely proportional to the electric force.

Therefore, increasing the charge on each particle by 2.0 C would increase the electric force between the two particles.

Learn more about Coulomb's law, here:

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When you ride your bike around a corner at 10 m/s, you are accelerating?

Answers

When you ride your bike around a corner at 10 m/s, you are accelerating. Acceleration is caused by any forces. Sliding friction keeps you in the seat when a car goes around a corner. If you throw a ball into the air, Earth exerts a force on the ball.

Answer:

yes because acceleration is a vector quantity and as u turn around a corner you are changing direction.

Explanation:

21. The speed of light is approximately 3.00 x 108 m/s. What is the speed of light in miles per hr?

Answers

Answer:

6.7*10^8 mi/hr

Explanation:

(3*10^8 m)/1s * (3600 s)/ 1 hr * (1 mi)/ 1609 m

6.7*10^8 mi/hr

A man is riding his 4-wheeler at 60 km/hr. If he is riding it constantly at
this rate for 1.5 hours, how far did he ride?

Answers

Answer: 90 km

Explanation: 60 * 1.5

A drug like cocaine causes more dopamine to be produced in the brain.


Please select the best answer from the choices provided

T
F

Answers

Answer:

True

Explanation:

A drug like cocaine causes more dopamine to be produced in the brain is True.

What is Dopamine?

Dopamine is a type of neurotransmitter which can be a monoamine. This dopamine will be produced in brain and it acts as a chemical messenger which will be used to communicate messages between the nerve cells in the brain and to the brain and the other parts of the body.

When an individual who takes the drugs such as heroin, nicotine, cocaine and methamphetamine can increases or promotes the neurochemical reaction which will produce or increases the amount of dopamine that is a primary factor which can be the addiction that is secreted by neurons in the brain's reward center.

The functions of the reward center is memory, movement, motivation, mood, attention and more.

The diseases caused by dopamine are higher dopamine levels lead to pleasure in the mind of an addict and it makes people forget the pain or stress and gives immense pleasure.

To know more about dopamine,

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an object 2cm high when placed in front of a converging mirror produces a virtual image 3cm high. if the object is placed at a distance of 8cm from the pole of the mirror, calculate the position of the image

Answers

Answer:

v= +12cm

Explanation:

m = (size of image)/(size of the object) = -v/u  

u = - 8 cm

 3/2 = -v/u 

3/2 = -v/-8 

v = +12 cm

Using mirror formula, 

1/v + 1/u = 1/f  ...(i)

1/12 + 1/(-8) = 1/f 

f = -24 cm

Focal length is 24 cm

If you fire a gun horizontally, and at the same time drop a bullet/slug from the same height, what will happen?

Answers

Answer:

There you have it. The y-component of air resistance for the fired bullet still depends on the fired speed of the bullet (since it is proportional to v2). A fired bullet (with air resistance) does not hit the ground at the same time as a dropped bullet.

Explanation:

hope this helped ✨

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:

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

Where is mercury naturally found?

Answers

wellll that would be in earth crust

Answer:

in space

Explanation:

its a planet

What stage of mitosis does mutations occur?!

Answers

Answer:

if it is a gene mutation then it is during the S phase, and if it is a chromosome mutation, then during metaphase or anaphase.

Explanation: I think it happens in the interphase

When a mutation occurs in mitosis, stage of Mitosis is interphase.

What is mutation?

Mutation that occurs in mitosis typically causes tumor.

Genetic mutations occur during the S phase of the cell cycle i.e during interphase before mitosis begins. When DNA is replicated, error would cause a mutation in the genetic code. Chromosomal nondisjunction denotes the failure of replicated chromosomes to separate causing extra or missing chromosomes in the daughter cells to occur. This mutation can occur during mitosis.

Thus, When a mutation occurs in mitosis, stage of Mitosis is interphase.

Learn more about mutation.

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a car with a mass of 1,100 kg is moving down the highway with an applied force (force of the engine) of 2,450 N and a friction force of 825 N. What is the cars acceleration

Answers

Explanation:

2.23 m/s^2 squared yung 2

What was the main aim behind Wegener's continental drift theory?
A. To explain major climate changes
B. To explain geological similarities
C.to explain landforms of area
D. All of the above

Answers

d.all of the above is the answer for this question
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