A softball pitcher rotates a 0.250 kg ball around a vertical circular path of radius 0.5 m before releasing it. The pitcher exerts a 33.0 N force directed parallel to the motion of the ball around the complete circular path. The speed of the ball at the top of the circle is 13.0 m/s. If the ball is released at the bottom of the circle, what is its speed upon release

Answers

Answer 1

Answer:

The value is  [tex]u = 27.93 \ m/s[/tex]

Explanation:

From the question we are told that

   The  mass of the ball is [tex]m = 0.250 \ kg[/tex]

    The radius of the circle is  [tex]r = 0.5 \ m[/tex]

    The force exerted is  [tex]F = 33 \ N[/tex]

    The  speed of the ball on top of the circle is  [tex]v = 13.0 \ m/s[/tex]

Gnerally from the law of energy conservation we have that

     [tex]PE + W = \Delta KE[/tex]

Here PE  is the potential energy of the pitcher which is mathematically represented as

      [tex]PE = m * g * (2 r )[/tex]

=>   [tex]PE = 0.250 * 9.8 * (2 * 0.5 )[/tex]  

=>   [tex]PE = 24.5\ J[/tex]

And  W  is the workdone by the force applied which is mathematically represented as

       [tex]W = F * \pi * r[/tex]

=>    [tex]W = 33 * 3.142 * 0.5[/tex]

=>    [tex]W = 51.84 \ J[/tex]

And   [tex]\Delta KE[/tex] is the change in kinetic energy which is mathematically represented as

       [tex]\Delta KE = \frac{1}{2} * m * (v^2 - u^2 )[/tex]

=>    [tex]\Delta KE = \frac{1}{2} * 0.250 * ( 13^2 - u^2 )[/tex]

=>    [tex]\Delta KE = 0.125 * ( 13^2 - u^2 )[/tex]

=>    [tex]\Delta KE = 21.125 - 0.125u^2[/tex]

So

      [tex]24.5 + 51.84 = 21.125 - 0.125u^2[/tex]

=>    [tex]u = 27.93 \ m/s[/tex]

Answer 2

The velocity of the ball released at the bottom is required.

The velocity of the ball released at the bottom is 24.56 m/s

F = Force = 33 N

r = Radius of loop = 0.5 m

m = Mass of ball = 0.25 kg

u = Initial velocity of ball = 13 m/s

v = Final velocity

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

The energy balance of the system is given by

[tex]F\pi r+mg2r=\dfrac{1}{2}m(v^2-u^2)\\\Rightarrow v=\sqrt{\dfrac{2}{m}(F\pi r+mg2r)+u^2}\\\Rightarrow v=\sqrt{\dfrac{2}{0.25}(33\times \pi\times 0.5+0.25\times 9.81\times 2\times 0.5)+13^2}\\\Rightarrow v=24.56\ \text{m/s}[/tex]

The velocity of the ball released at the bottom is 24.56 m/s.

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Related Questions

A go-cart and rider have a mass of 14 kg. If the cart accelerates at 6m/s^2 during a 40 m sprint in 100 seconds, how much power did the cart do? MUST SHOW ALL WORK!!!!!!!!!

Answers

Answer:

P = 33.6 [N]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.

∑F = m*a

where:

F = forces [N]

m = mass = 14 [kg]

a = acceleration = 6 [m/s²]

[tex]F = 14*6\\F = 84 [N][/tex]

In the second part of this problem we must find the work done, where the work in physics is known as the product of force by distance, it is important to make it clear that force must be applied in the direction of movement.

[tex]W = F*d[/tex]

where:

W = work [J]

F = force = 84 [N]

d = displaciment = 40 [m]

[tex]W = 84*40\\W = 3360 [J][/tex]

Finally, the power can be calculated by the relationship between the work performed in a given time interval.

[tex]P=W/t\\[/tex]

where:

P = power [W]

W = work = 3360 [J]

t = time = 100 [s]

Now replacing:

[tex]P=3360/100\\P=33.6[W][/tex]

The power is given in watts

Many large and small rocks are found under glaciers. Explain how these rocks are both weathered and eroded.

Answers

Answer:

Explanation below

Explanation:

Ice, mostly in the form of glaciers can create different landforms as it erodes the earth. In some areas with mountains, the glaciers move gradually downhill and across the land areas. When they move, the transport virtually everything on their path, ranging from small grains of sands to huge boulders.  

As these glaciers flow, the rocks being carried in the process scrape against the ground and erode both the ground and the rocks. Rocks are being ground up and oils are scrapped away.  

The main types of erosion created by the glaciers are abrasion and plucking.  

 

a traveller covers 1.2km distance in 5mins find it's average velocity​

Answers

Explanation:

Average Velocity = Displacement / Time

= 1.2km / 5 min

= 1200m / 300s

= 4m/s.

The average velocity of a moving body is the distance covered by time. The average velocity of the traveler covers 1.2 km in 5 min is 4 m/s.

What is velocity ?

Velocity is a physical quantity which measures the distance travelled per unit time. Velocity is a vector quantity thus having both magnitude and direction.

Velocity is the ratio of distance to the time. Given that the distance travelled by the man = 1.2 km = 1200 m

time = 5 min = (5 × 60 s) = 300 s.

Thus, velocity = distance/ time

                       = 1200 m / 300 s

                       = 4 m/s.

Therefore, the velocity of the traveler is  4 m/s.

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When food is digested, the
smell changes considerably.
What would you call this type
of change?
A. A physical change
B. A chemical change
C. A solution change

Answers

Answer:

Chemical change

Explanation:

A chemical change is what happens. The food digested changes smell due to some enzyme the has acted on the food which catalyzes the rate of digestion. The enzymes acts on the food in order to speed up the rate of the reaction (digestion) and in turn causing the smell.

A 45 kg swimmer starting from rest can develop a maximum speed of 12 m/s over a distance of 20 m How much net force must be applied to do this ?

MUST SHOW WORK!

Answers


F = ma = mΔv/t = m(vf - vi)/t = mvf/t (since vi = 0)

⇒ a = vf/t


While accelerating from rest to vf, the distance d the swimmer traveled satisfies

d = (1/2)at2

Then

d = (1/2)(vf/t)t2 = vf t/2 ⇒

t = 2d/vf

F = ma = mvf/t = mvf / (2d/vf) = mvf2 / (2d)

F = [45 * 122 / (2 * 20)] N = 162 N

If you also want to know how long the swimmer took to accelerate to vf,

t = 2d/vf = (2 * 20 / 12) s = 3.33 s
55m got it right on edg


A girl whose weight is 220-N hangs from
the middle of a bar supported by four vertical
strands of rope. What is the tension in each
strand?

Answers

Answer: 55n

Explanation:


What is the most widely accepted theory as to how our Universe formed?

Answers

What is the most widely accepted theory as to how our Universe formed?

BIGBANG THEORY

The Bigbang Theory is the most widely accepted theory as to how our Universe formed

WHAT IS UNIVERSE?

The universe contains everything that is scientifically known.It is thought to be between 12 and 14 billion years old and it has been increasing in size since it starts.

#LearningIsFun

which internal energy source produces heat by converting gravitational potential energy into thermal energy

Answers

Accretion and differentiation

Which best compares radiation and conduction?

A. Both transfer thermal energy from warm objects to cooler objects.
B. Both can transfer energy through empty space.
C. Both transfer thermal energy by electromagnetic waves.
D. Both involve the transfer of energy through direct contact.

And also who likes Rick and Morty OwO

Answers

Answer:

A

Explanation:

at constant pressure by what fraction of its volume will aquantity of gas change if the temperature changes from -173degree C to 27degree C

Answers

Answer:

The volume of the gas becomes three times the initial volume.

Explanation:

Given that the pressure is constant, and temperature changes from -173degree C to 27degree C.

So, the initial temperature, [tex]T_1[/tex] = -173 degree C = -173+273 = 100 K.

The final temperature, [tex]T_2[/tex]= 27 degree C = 27+273=300 K.

As the pressure is constant, so [tex]P_1=P_2[/tex].

Let V_1 and V_2 be the initial and final volume respectively.

Assuming that the given gas is ideal gas.

So, applying the ideal gas equation

PV=nRT

where n is the number of moles of the gas and R is the universal gas constant.

For the initial state, [tex]P_1V_1=n_1RT_1\cdots(i)[/tex]

and for the final state, [tex]P_2V_2=n_2RT_2 \cdots(ii)[/tex]

Dividing the equation (i) by (ii), we have

[tex]\frac {P_1V_1}{P_2V_2}=\frac {n_1RT_1}{n_2RT_2} \\\\\frac {P_1V_1}{P_2V_2}=\frac {n_1T_1}{n_2T_2}[/tex]

As the mass of the gas is not changing, so [tex]n_1=n_2[/tex], then

[tex]\frac {P_1V_1}{P_2V_2}=\frac {T_1}{T_2}[/tex]

As the pressure is not changing, so [tex]P_1=P_2[/tex], then

[tex]\frac {V_1}{V_2}=\frac {100}{300}[/tex]

[tex]V_2=3V_1[/tex]

So, the volume of the gas becomes three times the initial volume.

If y is inversely proportional to x and y = 4 and x=10, find y when x = 20

Answers

Answer:

Y=8

Explanation:

Y=4

X=10

if x is 20 it means it is doubled frm the previous therefore it means even y has to be doubled

first. now

x=10. x=20

y=4. y=8

Consider the moment immediately before the puck is released. At that moment, the kinetic energy, the gravitational potential energy, and the elastic potential energy are, respectively, Select the best answer from the choices provided. a-zero, at a maximum, and at a maximumb-at a maximum, zero, and zeroc-zero, at a maximum, and zerod-at a maximum, at a maximum, and zeroe-zero, zero, and at a maximum

Answers

Answer:

zero, at a maximum, and zero

Explanation:

At the instant that the puck is released, its kinetic energy is zero because we define the kinetic energy of a body as the energy possessed by a body by virtue of its motion.

The gravitational potential energy at the point of release is maximum since gravitational potential energy is possessed by any object in the earth's gravitational field.

Elastic potential energy refers to energy stored in a body as a result of applying a force that deforms the elastic object. . Hence elastic potential energy is available in the puck only when it is deformed upon hitting the earth.

When two ocean plates come together, one ocean plate __________________
under the other, causing a chain of ________________ __________________
to form.

Answers

Answer:

A subduction zone is also generated when two oceanic plates collide — the older plate is forced under the younger one — and it leads to the formation of chains of volcanic islands known as island arcs.

Explanation:

I need help with the questions when it says what is the topic and rest

Answers

It should be a and f would I you like me to explain

A psychologist wants to identify how the holiday season impacts the anxiety levels of Americans. She wants to get results on the feelings of anxiety from over one million Americans in the next month. What design should she use and why?

Answers

Answer: survey

Explanation:

A survey can be an interview or a questionnaire which is given to a particular group in order to know their characteristics or opinions, towards certain issues.

Since the psychologist wants to get results on the feelings of anxiety from over one million Americans in the next month, the survey should be used.

I think it’s b but I’m not sure

Answers

Answer: B

Explanation: Yes it is b, because the lightbulb won’t matter just the circuit and flow of the cable.

11 A car is driven on a long journey along a flat, horizontal road. The car stops several times on the
journey and its engine becomes hot.
Which type of energy does not change during the journey?
A the chemical energy in the fuel tank
the gravitational energy of the car
c the internal (thermal) energy of the engine
B
D the kinetic energy of the car

Answers

Answer:

A

Explanation:

Because the gravity is the one pulling the car to the ground so it doesnot change

The same same thing happens to the chemical energy in the engine it doesnot change as it is the one that makes the car to move from one place to another

Option B is correct that is the gravitational energy of the car does not change.

(A) The chemical energy in the fuel tank gets converted into thermal energy heating up the engine and mechanical energy which helps moving the car.

(B) Gravitational energy is due to the force of gravitation between the car and the earth and depends on their respective masses which does not change as the car moves.

(C) The internal energy is proportional to thermal energy. the thermal energy of the engine increases which means its internal energy also increases.

(D) The kinetic energy of the car changes as it moves and stops.

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Where would you find convergent and divergent plate boundaries relative to
convection currents in the mantle?

Answers

Answer:

When two tectonic plates meet, we get a “plate boundary.” There are three major types of plate boundaries, each associated with the formation of a variety of geologic features.

Explanation:

When the plates meet at the boundaries the convergent boundaries lie at the collision of two plates and the divergent lies near mid-oceanic ridges.

What are plate boundaries?

The earth plate tectonics are divided into the three types of plates as convergent which is the destruction of crust and are found where the heavy and light plate comes and colloid with each other submerging the heavier plate into the mantel.

The divergent ones found near the mid-oceanic ridges are the formation of a new plate as the plates diverge away from the ridges.

Find out more information about the plate boundaries.

brainly.com/question/24519460

A(n) ____________ stretch is one done where antagonist muscles are used to stretch the muscles. But the _____________ stretch is one that is done that the muscle needs help from something or someone to stretch the muscle.

Answers

Answer: Dynamic - Static Flexibility

Explanation:

mass of the planet is 12 times that of earth and its radius is thrice that of earth , then find the escape velocity on that planet ?? ​

Answers

Answer:

The escape velocity on the planet is approximately 178.976 km/s

Explanation:

The escape velocity for Earth is therefore given as follows

The formula for escape velocity, [tex]v_e[/tex], for the planet is [tex]v_e = \sqrt{\dfrac{2 \cdot G \cdot m}{r} }[/tex]

Where;

[tex]v_e[/tex] = The escape velocity on the planet

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

m = The mass of the planet = 12 × The mass of Earth, [tex]M_E[/tex]

r = The radius of the planet = 3 × The radius of Earth, [tex]R_E[/tex]

The escape velocity for Earth, [tex]v_e_E[/tex], is therefore given as follows;

[tex]v_e_E = \sqrt{\dfrac{2 \cdot G \cdot M_E}{R_E} }[/tex]

[tex]\therefore v_e = \sqrt{\dfrac{2 \times G \times 12 \times M}{3 \times R} } = \sqrt{\dfrac{2 \times G \times 4 \times M}{R} } = 16 \times \sqrt{\dfrac{2 \times G \times M}{R} } = 16 \times v_e_E[/tex]

[tex]v_e[/tex] = 16 × [tex]v_e_E[/tex]

Given that the escape velocity for Earth, [tex]v_e_E[/tex] ≈ 11,186 m/s, we have;

The escape velocity on the planet = [tex]v_e[/tex] ≈ 16 × 11,186 ≈ 178976 m/s ≈ 178.976 km/s.

A force of 900N acts on
a stationary body
for 40sec and the body acquires the velocity of360 m/s calculate mass a body.

Answers

Answer:

Explanation:

It is still using F = m*a -- just in a disguised form.

Givens

F = 900 N

vf = 360 m/s

vi = 0

t = 40 second

Formulas

a = (vf - vi)//t

F = m * a

Solution

a = (360 - 0)/ 40

a = 9

F = m * a

900 = m * 9

m = 900/9

m - 100 kg.          Doesn't seem high enough.

Answer:

a= V- u/t

a= 360 - 0 /40 = 9 m/sec2

F = MA

900 = M * 9

M = 900/9

M= 100 kg

A phone's weight is 50 Newtons. It is on top of a
.75m table. How much Potential Energy does it have?

Answers

PE= mgh
= 50x.75x9.8

It takes a crane 59s to lift a flagstone using 342 W of power. How much work is done on the flagstone? ​

Answers

Answer: The work done on the flagstone is 20178 J

Explanation:

Power is the rate at which work is done . It is equal to the amount of work done divided by the time it takes to do the work.

[tex]Work=Power\times time[/tex]

Given : work = ?

Power = 342 W = 342J/s

Time = 59 s

[tex]Work=342J/s\times 59s=20178J[/tex]

Thus the work done on the flagstone is 20178 J

12. A baseball player throws a ball. While the 700.0-g ball is in the pitcher’s hand, there is a force of 125 N on it. What is the acceleration of the ball?

Answers

Answer:

F=ma

125N=.7*a solve for a.

Explanation:

Identify the role of organisms in this food chain.
dragonfly
frog
grass
hawk
mushrooms

Answers

Answer:

the grass is the producer, the mushroom is the decomposer, the dragonfly is the primary consumer, the frog is the secondary, and the hawk is the tertiary consumer.

Explanation:

Hope this helps :)

Answer:

A. Frog

C. Hawk

D. Snake

Explanation:

I just took the test and these answers are right!

A car weighing 19600N is moving with a speed of 30 m/sec on a level road. If it is brought to rest in a distance of 100 m. Find the average distance friction force acting on it

Answers

Answer:

F = -8820 N

Explanation:

Given that,

The weight of a car, W = 19600 N

Initial speed of the car, u = 30 m/s

It is brought to rest, final velocity, v = 0

Distance, d = 100 m

We need to find the average friction force acting on it.

Firstly we find the acceleration of the car using third equation of motion. Let it is a.

[tex]v^2-u^2=2as\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(0)^2-(30)^2}{2\times 100}\\\\=-4.5\ m/s^2[/tex]

Average frictional force,

F = ma

m is mass, [tex]m=\dfrac{W}{g}=\dfrac{19600\ N}{10\ m/s^2}=1960\ kg[/tex]

F = 1960 kg × -4.5 m/s²

= -8820 N

So, the average friction force acting on it is 8820 N.

Ethics are deliberately learned from the family. Please select the best answer from the choices provided

Answers

Answer:

what are the choices provided?

Explanation:

Answer:

True

Explanation:

On Edg

Some metals have a molecular structure that makes them good conductors. Explain how understanding this relationship can help engineers make more powerful batteries.

Answers

Answer:

Explained below.

Explanation:

Conductors can be defined as materials that permit electricity to flow through them easily.

Now, metals have a molecular structure that makes them good conductors because electrons in the atoms of these conductors tend to move freely from one atom to the other. So a majority of metals make good conductors because these metals tend to hold their electrons loosely. In short, it can help engineers make powerful batteries because then it means that they are capable of giving much more electrical energy since nowadays, advanced batteries make use of ion charges for the batteries.

Asha walks 15 m west, then 20 m north, then 15 m east. Calculate the distance and displacement
covered by Asha.(a) (Numbering problem)_​

Answers

Answer:

Asha traveled a distance of 50 m

The displacement is 20 m north.

Explanation:

Distance and Displacement

A moving object constantly travels for some distances at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final positions of the object while moving. The displacement, unlike distance, is a vectorial magnitude and can even have magnitude zero if the object starts and ends the movement at the same point.

Asha walks 15 m west, 20 m north, and 15 m east. The total distance is

dt=15 m + 20 m + 15 m = 50 m

Asha traveled a distance of 50 m

Note the final position is 20 m above the initial position since she goes 15 m west and 15 m east. Thus the displacement is 20 m north.

an object weighs 150N on earth. what is the mass of the object?

Answers

Answer:

450 g =0.9921 lb

Explanation:

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