Alejandro Kirk is the catcher for the Blue Jays’ baseball team. He exerts a forward force on the 0.145-kg baseball to bring it to rest from a speed of 38.2 m/s. During the process, his hand recoils a distance of 0.135 m.
Determine is the acceleration of the ball.
Determine the force applied by Alejandro.

Answers

Answer 1

Answer:

a= -5404.6 [m/s²]; F=785.75 [N].

Explanation:

1. Determine is the acceleration of the ball:

equation of the distance (0.135m) is:

[tex]S=-\frac{at^2}{2} +v_0t,[/tex]  where S=0.135[m]; a - required acceleration; t - elapsed time; v₀ - initial velocity (38.2 m/s);

also the required acceleration is:

[tex]a=\frac{v-v_0}{t}, where[/tex] V - the end velocity (0 m/s), t - elapsed time, ₀ - initial velocity (38.2 m/s).

Using the equations of reqruired acceleration and the distance it is possible to make up and solve the next system:

[tex]\left \{ {{a=-\frac{38.2}{t} } \atop {S=-\frac{at^2}{2}+38.2t }} \right. \ => \ \left \{ {{a=-\frac{38.2}{t} } \atop {0.5at^2-38.2t=0.135}} \right. \ => \ \left \{ {{a=-\frac{38.2}{t} } \atop {19.1t-38.2t=0.135}} \right. \ => \ \left \{ {{a=-5404.6} \atop {t=0.007}} \right.[/tex]

finally, a≈-5404.6 [m/s²].

2. Determine the force applied by Alejandro.

the energy is:

[tex]E=\frac{mv^2}{2}; \ or E=FS, where \ m-the \ mass; \ v-velocity; \ F-required \ force; S-distance;[/tex]

According to these two equations, the required force is:

[tex]F=\frac{E}{S}=\frac{mv^2}{2S};[/tex]

F=0.145*38.8²/2/0.135≈785.75 [N].

note, the suggested way is not the shortest one and not the only one.

P.S. if it is possible, check the arithmetic operations and the provided answers in other sources.


Related Questions

What is an ellipse?
I want an accurate answer. No spam.

Answers

Answer:

It is defined as an astronomical phenomenon which occurs when one spatial object comes within the shadow of another spatial object.

this planet has a very toxic atmosphere that traps heat, making it the hottest planet in the solar system.

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Answer:

Venus

Explanation:

basic 2nd grade smarts "no offense"

You use a rope 2.00 m long to swing a 10 kg weight around your head. The tension in the rope is 20 N. In half a revolution how much work in J is done by the rope on the weight

Answers

Answer:

No work is done on the weight. :3

To solve this we must be knowing each and every concept related to work and its calculation. Therefore, 250J is the work done in joule by the rope on the weight.

What is work?

Work in physics is the energy delivered to or out of an item by applying force across a displacement. It is frequently expressed in its most basic form as the combination of displacement and force.

When a force is applied, it is said to produce positive work if it has a proportion in the orientation of the movement of a site of application. Work done is positive when the direction of force acting on the object and displacement of the object both are in the same direction.  

Mathematically,    

Work= force ×displacement

force =20 N

displacement=2.00 m

displacement=2×3.14×2=12.5m

substituting all the given values in the above equation, we get

Work= 20 ×12.5

Work =250J

Therefore, 250J is the work done in joule by the rope on the weight.

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You increase your walking speed from 1 m/s to 3 m/s in a period of 1 s.

What is your acceleration?

5 m/s2
3 m/s2
2 m/s2
4 m/s2

Answers

Answer:

2 m/s2

Explanation:

the answer is 2 m/s2

A block with initial velocity of 3 m/s slides 9 m across a rough horizontal surface before coming to rest. What is the coefficient of kinetic
friction?

Answers

The coefficient of kinetic friction between the block and the horizontal surface is 0.051.

The given parameters;

initial velocity, u = 3 m/sdistance traveled by the block, s = 9 m

The acceleration of the block is calculated as follows;

[tex]v^2 = u^2 + 2(-a)s\\\\v^2 = u^2 - 2as\\\\a = \frac{u^2 - v^2}{2s} \\\\a = \frac{3^2 - 0^2}{2\times 9} \\\\a =0.5 \ m/s^2[/tex]

The coefficient of kinetic friction between the block and the horizontal surface is calculated as follows;

[tex]\mu_k mg = ma\\\\\mu_k = \frac{a}{g} \\\\\mu_k = \frac{0.5}{9.8} \\\\\mu_k = 0.051[/tex]

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Plzzzz help mee plzzzz help meeee

Answers

Answer:

1 $1260.00-$700.00=$560.00

2 $700.00/$1260.00*100= approximately 55.6%

Explanation:

* this sign means Multiplication

6. Two skaters, Jim (65 kg) and Mary (50 kg) are standing at rest on the ice. They push each other
and Mary recedes at 2.5 m/s towards the east. Find Jim's velocity (magnitude and direction).

Answers

Hi there!

This is an example of a recoil collision.

Let m1, v1 be Mary

Let m2, v2 be Jim

Utilize the conservation of momentum:

m1v1 + m2v2 = m1v1' + m2v2'

The initial velocities are zero (at rest), so:

0 = m1v1' + m2v2'

Let east be positive, so Jim recoils with a negative velocity:

0 = m1v1' - m2v2'

Set the two equal and solve:

m1v1' = m2v2'

m1v1'/m2 = v2'

(50)(2.5)/65 = v2' = 1.92 m/s to the WEST

What is the use of a hydrometer​

Answers

Answer:

A hydrometer is an instrument used to determine specific gravity

Answer:

it is used determine specific gravity

Explanation:

and u can see them in use by measuring proof of moonshine

When is it safer to drive a heavier car over a lighter car?

a. When you crash into a wall
b. When you crash into a tree
c. When you crash into another car
d. It is never safe in a hevaier car

Answers

Answer:

I think it would be c, crashing into another car

D I believe it’s the awnswer

Find the work done while lifting a 115 kg sofa 1.5 m off the ground.
Find the weight first

Answers

P= 10m = 10 x 115 = 1150 N

work done while lifting a 115 kg sofa 1.5 m off the ground :

A= Ph = 1150 x 1.5 = 1725 J

P/s: I think the weight first is 115kg

ok done. Thank to me :>

What net force would be necessary to cause a block of wood with a mass of 2.5 kg to accelerate at a rate of 3.0 m/s2

Answers

Answer:

7.5 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 2.5 kg

acceleration = 3.0 m/s²

We have

force = 2.5 × 3.0 = 7.5

We have the final answer as

7.5 N

Hope this helps you

an empty bottle weight 22.4 g when empty,406g when filled with water and 52.8g when filled with liquid x​

Answers

Answer:

question is incomplete

A rock climber’s shoe loosens a rock, and her climbing buddy at the bottom of the cliff notices that the rock takes 3.20 s to fall to the ground. How high up the cliff is the rock climber?

Answers

Answer:

50.176 [m].

Explanation:

1) the required height can be calculated using the formula:

h=V₀*t+1/2* g*t₂, where V₀ - initial velocity of the rock, t - elapsed time, g - 9.8 m/s²;

2) if V₀=0, t=3.2, g=9.8, then

h=0.5*9.8*3.2²=1024*49*10⁻³=50.176 [m].≈50[m].

Which is true of the intensity of sound?

Answers

Answer:

c.

Explanation:

A cliff diver dove off a cliff at 8 m/s and landed in the water 21 m away from the cliff. How high is the cliff?

Answers

The vertical height of the cliff on which the diver drove off is 33.76 m.

The given parameters;

horizontal velocity of the diver, v = 8 m/shorizontal distance traveled by the diver, X = 21

The time of motion of the cliff diver is calculated as follows;

[tex]t = \frac{X}{v} \\\\t = \frac{21}{8} \\\\t = 2.625 \ s[/tex]

The vertical height of the cliff is calculated as follows;

[tex]h = v_0_y t + \frac{1}{2} gt^2\\\\h = 0 + 0.5 \times 9.8 \times 2.625^2\\\\h = 33.76 \ m[/tex]

Thus, the vertical height of the cliff on which the diver drove off is 33.76 m.

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You make a bar graph with the following data. What do you plot on the x-axis?

Answers

you make it the independent variable, the part of the data that will continue moving forward with no dependence (eg, time or measurements)

atom a has an atomic number of 40 atom b has an atomic number of 20 and a mass of 40 which of these is an accurate statement

Answers

Answer:14

Explanation:cuz

5. SEP Construct Explanations If the line on
a distance-versus-time graph and the line on
a speed-versus-time graph are both straight
lines going through the origin, can the two
graphs be displaying the motion of the same
object? Explain.

Answers

Answer:

If and only if the object has 0 speed. Any other case is a no.

Explanation:

In increasing math complexity:

If the graph of a distance/time is a straight line with a non-zero slope it means that the velocity-time graph is an horizontal line where every point has the same second coordinate, equal to the value of the slope of the first line (ie, if the first line has equation [tex]y=2t[/tex] the second line will have equation [tex]y=2[/tex] - I'm using y to denote either the distance or the speed, read it as "the non-time variable")

If the graph of a speed/time is a straight line, the graph of the distance/time is the area of the region of space beneath the straight line in the first graph, ie a triangle. And as you increase the sides of that triangle keeping the angles fixed, you get a parabolic curve.

Bonus case: if [tex]v(t)= 0; d(t) = 0[/tex], they are both straight lines, they both pass through the origin, and they are the exact same line.

With calculus (or: math becomes fun after you add the alphabet to it)

You are asking if the answer of the IVP

[tex]\left \{ {{x'=x} \atop {x(0)=0}} \right.[/tex]

is a linear function. The answer is: besides the obvious [tex]x(t)'=x(t)=0 \ \forall t[/tex] there are no other solutions, linear or otherwise.

100N force is applied to a ball with a mass of 0.25kg. Calculate the ball acceleration.

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

How does the force of gravitation between two objects change when the distance between them is reduced to half?

Answers

Answer:

it is 1 / square root of the change in distance

Explanation:

since the equation of the gravitational force is

[tex]F=G{\frac{m_1m_2}{r^2}}[/tex]

then F and r are inversely related, by the equation

[tex]F \alpha \frac{1}{r^2}[/tex]

this means when F is multiplied by 2 then r^2 is multiplied by half

so when r is multiples by half we first square the number (0.5) ^ 2 = 0.25

so

[tex]F \alpha \frac{1}{(0.25)r^2}[/tex]

which means F is multiples by 1/0.25 or 4 when the radius is halfed

The weight of a cart with a mass of 150 kg is ___ N. (Use 9.8
m/s2 for the acceleration due to gravity.)

Answers

Answer:

1470 N

Explanation:

Weight = m*g

So 150 kg * 9.8 m/s^2 = 1470 N

6. Explain a change that you can make in your diet to further your overall health.

Answers

Answer:

“Eat more delicious whole-food plants at every meal and snack. Fruits, vegetables, whole grains, nuts and seeds are packed with nutrients and contain satisfying fiber that is good for digestion, disease prevention and sustained energy.

Explanation:

Make sure you are following the recommended amount of nutrients needed in your diet (depending on age and sex). You need enough carbohydrates (for energy) but also some fats. 40% of your diet should consist of fruits and vegetables, 25% of fibre rich carbohydrates, 25% of proteins and 10% fats.

Hope this helped

under what condition could the weight of an object equal zero

Answers

Normal force is defined as the force that a surface exerts on an object. If the object is at rest, net force on the object is equal to zero; therefore, the downward force (weight) must be equal to the upward force (normal force). Since weight acts in the downward direction it will be negative.

A car was sitting in sunlight all day long. The heat that is now contained in the car was transferred to the car primarily by which of the following processes? Question 1 options: radiation conduction convection electrical energy transfer.

Answers

Radiation conduction…

Fill in the blank: In the Northern Hemisphere, June 21 has ______________ than December 21.
A. longer days and more direct sunlight
B. longer days and less direct sunlight
C. shorter days and more direct sunlight
D. shorter days and less direct sunlight

Answers

Answer:

A. longer days and more direst sunlight

Explanation:

In the Northern Hemisphere, June 21 has longer days and more direct sunlight than December 21, so option A is correct.

What is Hemisphere?

Essentially, it alludes to a person's half-divisions. The Earth can be split up into many equal divisions. Latitudinal or longitudinal divisions may be used. Based on a hypothetical equator line, it can be either the northern or Southern Hemisphere, and based on the prime meridian, it can be either the eastern or western hemisphere. When viewed from a latitudinal perspective, the Northern and Southern Hemispheres are essentially hemispheres of the Earth.

The Northern Hemisphere is the region of the Earth that lies above the equator, which is an imaginary line. This hemisphere includes anything that is above this 0° line. It is the half of the planet that has the most people on the planet and more land than water.

The summer solstice falls on June 21 in the Northern Hemisphere and the winter solstice falls on June 21 in the Southern Hemisphere. The solstices are reversed around December 21 and winter officially starts in the Northern Hemisphere.

Therefore, in the Northern Hemisphere, June 21 has longer days and more direct sunlight than December 21.

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for rogue waves to form so often, they must follow a non linear system, instead of the linear constructive interference system scientists once thought it was to explain these waves. What does it mean to be a non linear equation?

Answers

Rogue waves are unpredictable and sudden waves that appear as surface waves and that have the ability to make ships capsize. For a wave to be a non-linear equation it means that it is unpredictable. What is expected does not actually happen. The resulting wave is often chaotic in nature.

In mathematics, a non-linear equation is one in which the input does not equal the output. This makes it more difficult to predict the outcome of variables.

Also, a linear constructive interference system is one in which the meeting of two waves causes an amplification in which the resulting wave is equal to the sum of the individual waves.

So, when rogue waves are said to be non-linear, it means that the resulting wave is not equal to the individual waves that formed it. They are chaotic and unpredictable.

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The object in this diagram has a mass of 2 kg.

According to this diagram, what is the acceleration of this object?

A. 0 m/s2


B. 4 m/s2


C. 7 m/s2


D. 11 m/s2

Answers

Answer:

[tex]4 ms^{-2}[/tex]

Explanation:

Normal force - should be the reaction from the surface it's on - nullifies the weight of the object. At this point the only force is of [tex]22-14 = 8N[/tex] from whoever is pushing the square and the friction, towards the right. At this point we divide the force by the mass of the object to obtain an acceleration of [tex]8/2 = 4 ms^{-2}[/tex]

Choose all of the following that are compounds.
[]Air
[]Ink
[]Sodium (Na)
[]Mud
[]Hydrochloric acid (HCI)
[]Ocean water
[]carbon dioxide (CO2)
[]Hydrogen gas (H2)
[]water (H20)

Answers

Answer:

Ink

mud

hcl

ocean water

co2

h20

In the year 2081 in a shipping port on the moon, workers for Ore-Space, Inc., hoist a 500.0 kg hunk of anorthosite moon rock by a chain. (Neglect the weight of the chain.) The block is initially accelerating at 4.0 m/s.


How much force is being exerted by the chain?

Answers

Answer:

2,800 n

Explanation:

hope this helps, have a nice day/night! :D

The force of 2812.5 N is being exerted by the chain.

What is force?

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given that:

Mass of the  hunk of anorthosite moon rock : m = 500.0 kg.

Acceleration of the hunk: a = 4.0 m/s².

Acceleration due to gravity in moon = 1.625 m/s².

So, required force = 500.0(4.0 +1.625) n = 2812.5 N.

The force of 2812.5 N is being exerted by the chain.

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can someone help me?

Answers

Answer:

B

Explanation:

Y won't sink because his shoes have wider area

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