If a 20kg ball is sitting at rest on the top of a 100m hill, what it the velocity of the ball when it rolls down the hill and is 10m from the bottom? Show, at least, your final calculation.

Answers

Answer 1

Answer:

Explanation:

This is the First Law of Thermodynamics that says that energy cannot be created nor destroyed. Which means, to us, that the ball has a specific amount of energy available to it, regardless of where it is in its travels, and this amount of energy will never be increased or decreased, that it will ust change its form. The Total Energy equation for this situation is

TE = PE + KE whih says that the total energy available to the system is equal to its Potential Energy plus its Kinetic Energy, and that Total Energy will never change. First we need to find the TE available. Looking at the first statement, we come into this problem and the ball is sitting still at the top of a hill. If the ball is sitting still, it has no Kinetic Energy, so all the energy is Potential. Therefore,

TE = PE + 0 and what we find here for the TE is the TE available throughout the trip. PE = mgh, so

TE = (20.0)(9.8)(100.0) I added in some sig dig but will still round to 2 because 1 does nothing for us.

TE = 2.0 × 10⁴ J. Now we move on to the next part of the problem, where the ball starts moving. The instant the ball starts moving, the PE starts to convert to KE, but as long as the ball still has the potential to fall to a lesser height, it also still has PE...long story short, it has both PE and KE at this point. And since TE = PE + KE, then

2.0 × 10⁴ = (20.0)(9.8)(10.0) + [tex]\frac{1}{2}(20.0)v^2[/tex] and we solve for v, simplifying some at first.

2.0 × 10⁴ = 2.0 × 10³ + 10.0v² and

[tex]v=\sqrt{\frac{2.0*10^4-2.0*10^3}{10.0} }[/tex] so, to 2 sig fig,

v = 42 m/s

Get to know how to do this; it will save your sanity!!


Related Questions

A horse pulls a cart along a flat road. Consider the following four forces that arise in this situation. (1) the force of the horse pulling on the cart (2) the force of the cart pulling on the horse (3) the force of the horse pushing on the road (4) the force of the road pushing on the horse Suppose that the horse and cart have started from rest; and as time goes on, their speed increases in the same direction. Which one of the following conclusions is correct concerning the magnitudes of the forces mentioned above?

Answers

Complete Question: A horse pulls a cart along a flat road. Consider the following four forces that arise in this situation. (1) the force of the horse pulling on the cart (2) the force of the cart pulling on the horse (3) the force of the horse pushing on the road (4) the force of the road pushing on the horse Suppose that the horse and cart have started from rest; and as time goes on, their speed increases in the same direction. Which one of the following conclusions is correct concerning the magnitudes of the forces mentioned above?

A) Force 1 exceeds force 2.

B) Force 2 is less than force 3.

C) Force 2 exceeds force 4.

D) Force 3 exceeds force 4.

E) Forces 1 and 2 cannot have equal magnitudes.

Answer: B) Force 2 is less than force 3.

Explanation: From the given four forces to be considered, Force 2 is less than Force 3 is correct option.

After evaluating the forces one by one. Force 3 and Force 4 are the same, both have equal magnitude.

And Force 3 is greater than Force 2, i.e., the force of the horse pushing on the road is much higher than the cart pulling the horse. Hence, more forces is required to pull the cart while on the road towards forward direction.

More so, the force of the road pushing on the horse is greater than the force of the cart pulling on the horse.

A 2kg ball is attached to a 0.80m string and whirled in a horizontal circle at a constant speed of 6m/s .the work done on the ball during each revolution is.​

Answers

Answer:

work done = kinetic energy in a SHM

= 1/2mW²r²

but ; w = v/r

therefore ; w:d = 1/2mv²/r² × r²

= 1/2 mv²

= 1/2 × 2×6²

= 36J

A hippopotamus laying on the rock exerts 10,000 N on the rock. The rock has a mass of
2 tons. How much work is being done? Be sure to show your work.

Answers

Answer:

Explanation:

If the hippo is laying on the rock, I'm assuming that there is no movement going on at all, in either the hippo or the rock. If no movement occurs, there is no work being done.

An electrical heating coil is immersed in 4.6kg of water 22°C.The coil, which has a resistance of 250Ω, warms the water to 32°C in 15min. What is the potential difference at which the coil operates?

Answers

Answer:

242.4 V

Explanation:

Applying,

Q = cm(t₂-t₁)................ Equation 1

Where Q = amount of  heat, c = specific heat capacity, m = mass, t₁ = initial temperature, t₂ = final temperature.

But this heat is produced by electrical power

Therefore,

P = Q/t

Where P = Electrical power, t = time

Also,

P = V²/R

Where V = voltage, R = resistance

Therefore

V²/R = Q/t......................... Equation 2

Substitute equation 1 into equation 2

V²/R = cm(t₂-t₁)/t................. Equation 3

Given: R = 250 ohms, m = 4.6 kg, t₁ = 22°C, t₂ = 32°C, t = 15 min. = (15×60) = 900 seconds

Constant: c = 4600 J/kg.°C

Substitute these values into equation 2

V²/250 = 4600(4.6)(32-22)/900

V²/250 = 235.11

V² = 250×235.11

V² = 58777.78

V = √58777.78

V = 242.4 V

(v) A car
A car is pulled with a force of 60.N at angle of 30 ron, the
horizontal. Find the vertical and horizontal components of the applied
force.

Answers

Answer:

Explanation:

The vertical component is found in the magnitude of the force times the sine of the angle; the horizontal component is found in the magnitude of the force times the cosine of the angle. Thus:

vertical component = [tex]60.0sin(30.0)=30.0[/tex] and

horizontal component = [tex]60.0cos(30.0)=52.0[/tex]

I need help with this science question, 50 points!

Answers

Answer:

an open circuit (A battery, bulb, wire,switch)

Explanation:

the battery supplies the power the wire carries the current from the battery to the bulb but the circuit is not completed if the switch is not connected (Switch )

Un hombre parado en el techo de un edificio, tira una bola verticalmente hacia arriba con una velocidad de 12m/s, la bola llega al suelo en 4s. ¿que altura tiene el edificio ?

Answers

Respuesta:

24m

Explicación:

Según la ecuación de movimiento

v = u + en

Dado

Velocidad final v = 12 m / s

velocidad inicial u = 0 m / s

tiempo t = 4s

Sustituir

12 = 0 + 4a

a = 12/4

a = 3 m / s²

Lo siguiente es obtener la distancia;

S = ut + 1 / 2at²

S = 0 (4) + 1/2 (3) (4) ²

S = 3 * 16/2

S = 48/2

S = 24 m

Por lo tanto, la distancia requerida es de 24 m.

man start to moves from point A (Initial Point) to Point B (Final Point) in a given

figure. Find the Distance and Displacement from the given Figure :-

(2)​

Answers

Answer:

Image not full.

Explanation:

From what I can see, Displacement is 175m,

Distance will be = 100 + 50 + the hidden value on the bottom right

An object falling straight down without air resistance is said to be exhibiting
A. free fall
B. projectile motion
C. circular motion
D. two-dimensional motion

Answers

Answer:

Explanation:

If the object is falling straight down it is in free fall.  The difference between that and two-dimensional motion is that 2D motion is parabolic (projectile)

Which of the following physical quantity is having same SI units?
a) Speed and average speed
b) Speed and velocity
c) Speed and average velocity
d) All the above​

Answers

Answer:

d) All the above

Explanation:

Speed SI unit is metre per second.Velocity SI unit is metre per second.Average speed SI unit is metre per second.Average velocity SI unit is metre per second.

Therefore, as all of the physical quantities have the same SI units, the answer is d) all of the above.

PLS HELP DUE TODAY

A group of Ontario farmers form a cooperative group and build a factory that turns corn into a fuel for generators and cars. Would this energy source be renewable or non-renewable? Explain.

Answers

Answer:

renewable, you can keep growing corn for it. more fossil fuel can be made by nature but it takes way too long to be considered renewable

A person walks at a speed of 6 km/h from point A to point B. If he improves his pace by 1.5 km/h, he will arrive 1 hour earlier.
a) calculate the distance and time he intends to travel from a to b
b) the individual initially travels at v1=6 km/h for a distance s1, then pauses for 15 minutes to rest. So he goes at v2=7.5km/h for the rest of the route and arrives 30 minutes early than expected.

Answers

Answer:

a) The distance is 30 km

The time duration is 5 hours

b) s₁ is approximately 28.142 km or s₁ is approximately 1.505 km

Explanation:

The initial speed with of the person, v₁ = 6 km/h

The distance the walked by the person, d = From point A to point B

The rate at which the person increases the speed, Δv = 1.5 km/h

The time it takes for the person to arrive at point B from point A at the new speed, t₂ = 1 hour earlier than when walking at 6 km/h

a) Let t₁ represent the time it takes the person walking from point A to point B at 6 km/h, we have;

t₂ = t₁ - 1...(1)

d/t₁ = 6...(2)

d/t₂ = 6 + 1.5 = 7.5

∴ d/t₂ = 7.5...(3)

From equation (2), we have;

d = 6 × t₁ = 6·t₁

Plugging in d = 6·t₁, and t₂ = t₁ - 1 in equation (3) gives;

d/t₂ = 7.5

∴ 6·t₁/t₁ - 1 = 7.5

6·t₁ = 7.5 × (t₁ - 1) = 7.5·t₁ - 7.5

7.5·t₁ - 6·t₁ = 7.5

1.5·t₁ = 7.5

t₁ = 7.5/1.5 = 5

t₁  = 5

The time it takes the person walking from point A to point B at 6 km/h, t₁  = 5 hours

The distance from point A to point B, d = 6 km/h × 5 hours = 30 km

b) The distance the person travels at the initial speed, v₁ (6 km/h) = s₁

The duration the person pauses for a rest = 15 minutes = 1/4 hours

The speed with which he walks the rest of the journey, v₂ = 7.5 km/h

The time earlier than expected that he arrives, Δt = 30 minutes = 0.5 hours

We note that the total distance, d = 30 km

The expected time, t₁ = 5 hours

Therefore, we have;

s₁ + s₂ = 30 km

s₂ = 30 - s₁

v₁/s₁ + 1/4 + v₂/s₂ = t₁ - 0.5

Therefore;

6/s₁ + 1/4 + 7.5/(30 - s₁) = 5 - 0.5 = 4.5

6/28.142+ 1/4 + 7.5/(30 - 28.142) = 5 - 0.5 = 4.5

6/s₁ + 7.5/(30 - s₁) = 4.5 - 1/4 = 4.25

-(3·s₁ + 360)/(2·s₁²- 60·s₁) = 4.25

2·s₁²- 60·s₁) × 4.25 + 3·s₁ + 360 = 0

17·s₁²- 504·s₁ + 720 = 0

s₁ = (504 ± √((-504)² - 4 × 17 × 720))/(2 × 17)

s₁ ≈ 28.142 or s₁ = 1.505

The distance the individual travels at v₁ = 6 km/h, s₁ ≈ 28.142 km or 1.505 km


A book with a mass of 2 kg sits on top of a book shelf at a height of 3 m. How much potential energy does the book have

Answers

Answer:

Answer is 98 joules

Explanation:

P. E=2*9.8*3=98

S.i unit of potential energy ⚡ is joules

So answer is 98 joules

6. A ball rolled 125 m from the top of a hill to the bottom of a hill. How long
did it take for the ball to roll if the average velocity was 5m/s? *

Answers

Time = distance / speed
T = 125/ 5
T = 25 meters per second

What is the main energy source that causes changes in the atmosphere of Earth?
A. fossil fuels
B. the moon
C. the sun
D. greenhouse gases

Answers

Answer:

C is the correct answer.

they already answered but it’s the sun

True or False. Friction is a non-contact force?

( please answer !! i’ll mark brainliest! )

Answers

Answer:

False

Explanation:

Friction is a force exerted by a surface against the motion of a body across its surface. Therefore, friction is a type of contact force only.

Why are circuit breakers and fuses important?


1)They help regulate the voltage drop in a power source.


2)They help insulate live wires to prevent shocks.


3)They help prevent electrical accidents.


4)They help current flow smoothly.

Answers

Answer:

option 3, as circuit breakers are mostly used as precautions

is James Charles a boy or a girl ? I am so confused

Answers

Answer:

both

Explanation:

and I'm serious he is literally both

HELP PLEASE 15 POINTS !!!

Answers

B(I)84.0*10^5J
B(ll)1400W

Ponds and lakes are part of marine ecosystem.
True or false ?

Answers

Answer:

True

Explanation:

because they can hold marine organism inside

false because they are fresh water

Having greater or less electrons possessed by an object. Can attract or repel.

A. proton
B. magnetism
C. charge
D.magnet

Answers

Answer:

A. Proton

Explanation:

Given that an electron has a net negative charge equal in magnitude to the charge of a proton (1.602 × 10⁻¹⁹) but having an opposite (negative) sign to that of a proton, and given that like charges (negative to negative) repel and unlike charges attract, an object having;

Greater electron will be negatively charged relative to the other object, to which it is compare, which is a proton will attract the (positively charged) proton

Lesser negative charge compared to the proton; therefore, both objects will be positive, and they will repel each other

We therefore have;

Having greater or less electrons possessed by an object. Can attract or repel a proton

The correct option is option A. proton

The process of making alloys involves

Answers

Answer:

The process of making alloys involves ( Heating ) pure metals to remove impurities. Then the pure metals are(mixed) with other components. An alloy is a mixture of metals or a mixture of a metal and another element. Alloys are defined by a metallic bonding character.

Explanation:

A small 175-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter1.0 m.

Answers

Complete question:

A small 175-g ball on the end of a light string is revolving uniformly on a frictionless surface in a horizontal circle of diameter 1.0 m. The ball makes 2.0 revolutions every 1.0 s. What are the magnitude and direction of the acceleration of the ball?

Answer:

The acceleration of the ball is 78.98 m/s², directed inwards

Explanation:

Given;

mass of the ball, m = 175 g

radius of the circle, r = 0.5 m

angular speed of the ball, ω = 2 rev/s

The magnitude of the centripetal acceleration of the ball is calculated as follows;

[tex]a_c = \omega^2 r\\\\where;\\\omega \ is \ angular \ speed \ in \ rad/s\\\\a_c = (2\ \frac{rev}{s} \times \frac{2\pi \ rad}{1 \ rev} )^2 \times (0.5 \ m)\\\\a_c =78.98 \ m/s^2[/tex]

The centripetal acceleration is directed inwards.

difference between local system and si system​

Answers

Answer:

In antiquity, systems of measurement were defined locally: the different units might be defined independently according to the length of a king's thumb or the size of his foot, the length of stride, the length of arm, or maybe the weight of water in a keg of specific size, perhaps itself defined in hands and knuckles.

Systems of Measurement: there are two main systems of measurement in the world: the Metric (or decimal) system and the US standard system. ... The US Standard system uses units that have no predictable relationship to each other. For example, there are 2 cups in a pint, but 4 quarts in a gallon.

in what state of matter can conduction occur.

Answers

Answer: Conduction occurs more readily in solids and liquids, where the particles are closer to together, than in gases, where particles are further apart.

Answer:

conduction occurs when gas becomes liquid.

Answer this question fast please

Answers

There not a question?
Yea the answer is a because I know

A CAR APPROACHING A SCHOOL ZONE SLOWS DOWN FROM 38 M/S TO 10 M/S AT A CONSTANT ACCELERATION -4 METER PER SEC SQUARE HOW MUCH TIME IS REQUIRED TO SLOW DOWN TO FINAL VELOCITY

Answers

Answer:

7 seconds

Explanation:

he went down -28 m/s so 7 times -4 equals -28 m/s which is what he needed to slowness down to 10 m/s

What is the purpose of the circuit breaker in your home?
To provide electricity to all of the electrical devices in your home.
To maximize the electrical efficiency of appliances plugged in.
To prevent too much current from traveling into the circuit, making the wire hot and starting a fire.
To irritate the %$&* out of you when they turn off.

Answers

Answer:

to prevent to much current

Explanation:

in the event of a power surge the circuit breaker will cut the power. this is what people mean when they say "pop" the breaker

A riddle for you
In some situations, I oppose the motion
in other situations, I facilitate the motion
but, I always oppose
the relative motion
between two moving surfaces.
Put some lubricant, and
I become small there.
Make the moving surfaces rough
I make the movement tough.
I may be
static, sliding or rolling
but whenever two surfaces are in motion
I am always there,
Tell me who I am!


The person who answers it correctly will be marked as brainlist

Answers

Answer:

The Answer is FRICTION!

Select all the correct answers. Which statements about potential energy are true?

Answers

Answer: The statement gaining potential energy is always associated with a force field, is true about potential energy.

Explanation:

The energy acquired by an object due to its position is called potential energy.

Basically, a force field exerts a force that gives rise to potential energy of an object. For example, gravity, spring force etc.

This means that gaining potential energy is always associated with a force field.

A change in position does not always means that an object gains potential energy. For example, a spring will have more potential energy when it is compressed or stretched.

Hence, change in position of an object not necessarily means always gain in potential energy.

There are two types of potential energy that is, gravitational potential energy and elastic potential energy.

Thus, we can conclude that the statement gaining potential energy is always associated with a force field, is true about potential energy.

Answer:

Explanation:

The first one and the last one are the correct answer.

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