A shopping cart with two nice kids, rolls off a horizontal roof ledge that is 50
meters high. The cart and nice kids land 30 meters from the base of the ledge.
How fast was the cart rolling when it left the ledge?

Answers

Answer 1

Answer:

9.39 m/s

Explanation:

Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.

Assume the up direction is positive and the down direction is negative.

v₀ = 0 m/sa = -9.8 m/s² Δy = -50 m t = ?

Find the constant acceleration equation that contains these four variables.

Δy = v₀t + 1/2at²  

Substitute known values into this equation.

-50 = (0)t + 1/2(-9.8)t²

Multiply and simplify.

-50 = -4.9t²

Divide both sides of the equation by -4.9.

10.20408163 = t²

Square root both sides of the equation.

t = 3.194382825

Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.  

List out known variables in the x-direction.

v₀ = ?t = 3.194382825 s a = 0 m/s²Δx = 30 m

Find the constant acceleration equation that contains these four variables.

Δx = v₀t + 1/2at²  

Substitute known values into the equation.

30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²

Multiply and simplify.

30 = v₀ · 3.194382825

Divide both sides of the equation by 3.194382825.

v₀ = 9.391485505

The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.

Answer 2

Answer:

9.39 m/s

Explanation:

Using the y-direction, we can solve for the time t it takes for the cart to reach the ground.

Assume the up direction is positive and the down direction is negative.

v₀ = 0 m/s

a = -9.8 m/s²

Δy = -50 m

t = ?

Find the constant acceleration equation that contains these four variables.

Δy = v₀t + 1/2at²  

Substitute known values into this equation.

-50 = (0)t + 1/2(-9.8)t²

Multiply and simplify.

-50 = -4.9t²

Divide both sides of the equation by -4.9.

10.20408163 = t²

Square root both sides of the equation.

t = 3.194382825

Now we can use this time t and solve for v₀ in the x-direction. Time is most often our link between vertical and horizontal components of projectile motion.  

List out known variables in the x-direction.

v₀ = ?

t = 3.194382825 s

a = 0 m/s²

Δx = 30 m

Find the constant acceleration equation that contains these four variables.

Δx = v₀t + 1/2at²  

Substitute known values into the equation.

30 = (v₀ · 3.194382825) + 1/2(0)(3.194382825)²

Multiply and simplify.

30 = v₀ · 3.194382825

Divide both sides of the equation by 3.194382825.

v₀ = 9.391485505

The cart was rolling at a velocity of 9.39 m/s (initial velocity) when it left the ledge.


Related Questions

Two 5.0 kilogram objects have different gravitational potential energies. What property of the objects must differ?

Answers

Answer:

Height.

Explanation:

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

[tex] P.E = mgh[/tex]

Where,

P.E represents potential energy measured in Joules.

m represents the mass of an object.

g represents acceleration due to gravity measured in meters per seconds square.

h represents the height measured in meters.

Hence, the property of the object (having a mass of 5 kilograms) which must differ to have different gravitational potential energies is the height from which they are falling from.

The object having the higher height would have a greater gravitational potential energy than the lower object.

Why would companies want their sunscreen to absorb nearly all of the UV light?

Answers

Answer:

Sunscreen is like a shield, you would want a better shield to protect you than a weak one so companies try to make their sunscreen better than the rest.

Explanation: UV light is very dangerous to the skin so it helps with sunburn,skin sensitivity,etc.

Question 11(Multiple Choice Worth 4 points)

(05.03 LC)

HELP ASAP!!! WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What most likely happens when water vapor cools?

It changes into gas.
It changes into liquid.
Its temperature increases.
Its temperature remains constant.

Answers

Liquid or second option, water converts from vapor form to liquid form because of condensation. It attaches to small particles and forms liquid droplets. Even though I am helping you, try and use the web browser next time for a faster and more efficient respond

The height of the crest or depth of the trough from the center is called *

Answers

Answer:

amplitude

Explanation:

A crane lifts an air conditioner to the top of a building. If the building is 12 m high, and the air conditioner has a mass of 200 kg, how much work did the crane do to lift it? (Hint: the force the crane exerts is equal to the weight of the air conditioner)

Answers

Work needed = 23,520 J

Further explanation

Given

height = 12 m

mass = 200 kg

Required

work needed by the crane

Solution

Work is the transfer of energy caused by the force acting on a moving object  

Work is the product of force with the displacement of objects.  

Can be formulated  

W = F x d  

W = Work, J, Nm  

F = Force, N  

d = distance, m  

F = m x g

Input the value :

W = mgd

W = 200 kg x 9.8 m/s²x12 m

W = 23520 J

What are sum fossil fuels?
what is a fossil fuels and what is a example

Answers

Answer:

Coal, crude oil, and natural gas are all considered fossil fuels all considered fossil fuels because they were formed from the fossilized, buried remains of plants and animals that lived millions of years ago.

Explanation:

Coal, crude oil, and natural gas are all considered fossil fuels because they were formed from the fossilized, buried remains of plants and animals that lived millions of years ago. A fossil fuel is a natural fuel such as coal or gas, formed in the geological past from the remains of living organisms.

What is the difference between speed and velocity?
a.Speed is displacement and time
b.Speed is velocity/ displacement
c.velocity is speed and direction
d.velocity is displacement and distance

Answers

The answer is c.velocity is speed and direction

A 40-kg person is climbing 3 m up a flight of stairs in 6 seconds. How much power did they exert climbing the stairs?

Answers

Answer:

mate i got you

Explanation:

A 40-kg person is climbing 3 m up a flight of stairs in 6 seconds. How much work did they do climbing the stairs? answer choices . 400 J. 1200 J. 200 J. 120 J. Tags: Question 13 . SURVEY . 30 seconds . Report an issue . Q. A 40-kg person is climbing 3 m up a flight of stairs in 6 seconds. How much power did they exert climbing the stairs? answer choices . 400 W. 1200 W. 200 W. 120 W. Tags

200 W was used in climbing the stairs.

We'll begin by calculating the energy. This can be obtained as follow:

Mass (m) = 40 kg

Height (h) = 3 m

Acceleration due to gravity (g) = 10 m/s²

Energy (E) =?

E = mgh

E = 40 × 10 × 3

E = 1200 J

Finally, we shall determine the power exert in climbing the stairs. This can be obtained as follow:

Energy (E) = 1200 J  

Time (t) = 6 s

Power (P) =?

[tex]Power = \frac{Energy }{Time}\\\\Power = \frac{1200}{6}[/tex]

Power = 200 W

Thus, 200 W was used in climbing the stairs.

Learn more: https://brainly.com/question/5534024

Ella Fitzgerald was a singer who was able to shatter a glass with the sound of her voice. Which of the following is the reason she could do this?


Interference


Diffraction


Resonance


Refraction

Answers

Answer:

refraction

i think i dont know dont take my answer just take it into consideration

Explanation:

The shattering of glass with the help of sound illustrates an example of resonance. Thus, the correct option for this question is C.

What is Resonance?

In physics, resonance may be defined as a type of phenomenon due to which an exterior force of a vibrating system significantly forces another system around it in order to vibrate with greater amplitude at a specified frequency of operation.

According to the context of this question, the resonance produced by the voice of Ella Fitzgerald results in the breaking or shattering of the glass. It exposes the glass to the sound wave that forces or to vibrate and distorts its shape. Physical phenomena like refraction, diffraction, and interference are related to the concept of light.

Therefore, the shattering of glass with the help of sound illustrates an example of resonance. Thus, the correct option for this question is C.

To learn more about Resonance, refer to the link:

https://brainly.com/question/15337338

#SPJ6

What is the current if 4C of charge passes in 2 s?

Answers

Answer:

I hope 2 amperes of current passes

Two stoves were turned off at the same time, and they both started to cool down. The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes). T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below. Which stove started at a higher temperature?

Answers

Answer:

b & b

Explanation:

Two stoves were turned off at the same time, and they both started to cool down.

The following equation gives the temperature of the first stove (in degrees Celsius) as a function of time (in minutes).

T = 180-1.55mT=180−1.55mT, equals, 180, minus, 1, point, 55, m

The graph of the temperature of the second stove (in degrees Celsius) as a function of time (in minutes) is shown below.

Which stove started at a higher temperature?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

The first stove

(Choice B, Checked, Correct)

CORRECT (SELECTED)

The second stove

(Choice C, Incorrect)

INCORRECT

The stoves started at the same temperature

Which stove cooled down at a greater rate?

Choose 1 answer:

Choose 1 answer:

(Choice A, Incorrect)

INCORRECT

The first stove

(Choice B, Checked, Correct)

CORRECT (SELECTED)

The second stove

(Choice C, Incorrect)

INCORRECT

The stoves cooled down at the same rate

B would be correct and so would be on the 2nd part

HURRY PLEASE!!!!!!
If the Earth did not have internal energy, which of the following carbon cycle process would not be possible?

burning fossil fuels

consumption

respiration

rock formation

Answers

Answer:

Rock Formation

Explanation:

If Earth did not have internal energy, the carbon cycle process that would not be possible is rock formation. So, the correct option is D.

What is Carbon cycle?

The carbon cycle is described as a series of biogeochemical processes through which atoms of carbon or carbon compounds are fixed and utilized within the environment, moving carbon from the atmosphere to the Earth and back against which is carried into the atmosphere.

The main processes associated with carbon cycle include the following:

Respiration.Consumption.Combustion such as burning of fossil fuels.Rock formation.

The formation of rock requires only that the Earth have enough internal energy to cause the movement of material around the core and mantle to cause slow but significant changes within the Earth's crust.

Therefore, the correct option is D

Learn more about Rock cycle, here:

brainly.com/question/22432773

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If a object is at rest, does it mean there are no forces acting on it

Answers

Yes that is correct :)
Yessssssss that is correct and the reason why is because the force

How does the energy from the person's hand get to the last domino?

Answers

Answer:

woh its really exist?

Explanation:

cakra

What is the acceleration of a softball if it has a mass of 0.19 kg and hits the catcher's glove with a force of 4.75 N? Answer: m/s2​

Answers

using a=f/m it is 4.75/.19= 25m/s^2

4. What is an inherited trait?

Answers

Answer:

An inherited trait are features of an organism that can be passed down to one's offspring, for example eye color, hair color shape of the nose etc. They can be passed from generation to the next generation

Answer:

Inherited traits are talents that you have naturally inherited by an ancestor.

Explanation:

Have a great day

The ecosystem with the greatest biodiversity is the one that has the greatest–
Group of answer choices

variety of living things.

average annual rainfall.

coverage of land area.

elevation above sea level.

Answers

Answer:

A) Variety of Living Things

Explanation:

Biodiversity is defined as the variety of life in the world or in a particular habitat or ecosystem.

Hope I helped! Check out my profile for more answers!

Pls, help with this! I'm having trouble. will give points!!

Answers

Answer:

yes

no

no

no

no

yes

Explanation:

on what mass will a force 16N produce an acceleration of 160N





Answers

Answer:

m = 0.1 [kg]

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. In this way, we have the following equation.

[tex]F =m*a[/tex]

where:

F = force = 16[N]

a = acceleration = 160 [m/s²]

m = mass [kg]

Now replacing:

[tex]m=F/a\\m = 16/160\\m = 0.1 [kg][/tex]

HURRY!!! How does a sound wave travel through air?
a. absorption of sound waves
b. traveling by light waves
c. air currents move away from the sound
d. repeating compressions of air particles

Answers

Answer is B

Hope this helped!

Sound moves through the air at a speed of 340 m/s. How long would it take to hear your echo in a canyon which is 50 meters away? Show all of your work with an explanation of your answer.

Answers

Answer: 5/17 seconds or roughly .3 seconds

Explanation:

We will hear our echo once it has traversed the canyon to reach the end, bounce off, then return back to our ears.

To find how long it travels in one direction:

[tex]\frac{50m}{340 \frac{m}{s}} = \frac{5}{34} s[/tex] (or about .14 seconds)

For it to return back to us we double that time.

The time for it to reach our ears would be 5/17 seconds or roughly .3 seconds.

Need help with physics please

A 65 kg child riding a Ferris wheel has a tangential speed of 9.5 m/s. Find the magnitude of the centripetal force on the child if the distance from the child to the axis of the wheel is 20 m.

Answers

The centripetal force : F = 293.3125 N

Further explanation

Given

mass = 65 kg

v = 9.5 m/s

r = 20 m

Required

the centripetal force

Solution

Centripetal force is a force acting on objects that move in a circle in the direction toward the center of the circle  

[tex]\large {\boxed {\bold {F = \frac {mv ^ 2} {R}}}[/tex]

F = centripetal force, N  

m = mass, Kg  

v = linear velocity, m / s  

r = radius, m  

Input the value :

F = 65 x 9.5² / 20

F = 293.3125 N

Question 4 options: The steps that lead you from dependence to independence are referred to as The _________ to Lifetime Fitness, Health, and Wellness.

Answers

Answer:

Stairway.

Explanation:

The steps that lead you from dependence to independence are referred to as the stairway to Lifetime Fitness, Health, and Wellness.

This ultimately implies that, these stairway or steps are very important and essential for all humans who seek Lifetime Fitness, Health, and Wellness.

A good health can be defined as the state of well-being (wellness) in which all of the components of an individual's health are balanced. These state of wellness comprises of six (6) important components and they are;

1. Physical: this is a measure of the state of an individual's body or the way the body functions. It is enhanced by eating right, working out or exercising, avoiding drugs and alcohol, maintaining a good body mass index etc.

2. Emotional: this deals with the state of an individual's mind being void of worries, negativity etc.

3. Social: this involves keeping a good relationship with friends, family and many others around.

4. Environmental: it deals with maintaining a hygienic surrounding, that is devoid of pollutants.

5. Mental or intellectual: avoiding unnecessary stress and anxiety while dealing or coping with the realities of life.

6. Spiritual: it encompasses belief systems, values, ideals, morality etc.

Hence, when an individual is able to balance all of these above mentioned components, then he or she is said to be healthy.

Which renewable energy source is used the most throughout the world?

A. solar energy
B. biomass
C .hydroelectric
D. wind

Answers

Answer:

C- hydropower

Answer:

Hydroelectric

Which form of electromagnetic radiation with a relatively high amount of energy is used to sanitize lab goggles?

Answers

Answer:

Gamma radiation.

Explanation:

Electromagnetic waves are waves produced with respect to the interaction of electric field and magnetic field. They can be arranged with respect to their increasing or decreasing wavelength to form a pattern called electromagnetic spectrum.

Gamma radiation can be used for sterilization purpose due to the fact that it has a relatively high amount of energy, and do not produce any characteristic radiation.

Suman with a mass of 45kg climbs in 3m heigh ladder in 10 seconds. Calculate her power. Plz help me​

Answers

Answer:

work done=fdcosø

f=mg=450N

d=+3m

ø=180

450×3×cos(180°) power=work done/

time taken

1350×-1 p=135watts

We are running late for school and we want to make our 0.5 kg tea (it’s at 90 C) colder. Let’s assume we can drink tea when it’s 50 C. We decided that it would be more convenient to drop an ice (0 C) since it will get cold soon. What mass of ice needs to be put in for this to happen?

Answers

Answer:

x=0.154kg

Explanation:

(x*L)+(0.5kg*4200*50)+(x*4200*(-50)=0

(x*333 000J/kg*c)+(0.5kg*4200J/kg*C*(-40C))+(x*4200J/kg*C*50C)=0

The woman dries herself with a towel. She hangs the wet towel in the bathroom to dry. Figure 2 shows two places she could hang the towel. The towel will dry faster if it is hung from the unheated towel rail instead of the towel ring. Explain why.
2 points

Answers

tail rail holds the towel from a certain way where the water climbs down

Light moves from flint glass (n = 1.66) into
water at an angle of incidence of 26.0°.
a) What is the angle of refraction?
Answer in units of º.
b) At what angle would the light have to be
incident to give an angle of refraction of 90.0°
Answer in units of º.

Answers

Explanation:

Through Snell's Law, we can solve this.

The formula is:

n1 * sin(theta1) = n2 * sin(theta2)

n1 = flint = 1.66

n2 = water = 1.33

theta1 = 26.0°

theta2 = angle of refraction

Substituting these values in the formula,

1.66 * sin(26) = 1.33 * sin(x)

[1.66 *sin(26)] ÷ 1.33 = sin( x )

0.5471 = sin(x)

arcsin(0.5471) = x

33.17 = x

Therefore, the angle of refraction is 33.17°

b.) Using the same formula, we have:

1.66 * sin(x) = 1.33 * sin(90)

sin(x) = [1.33 * sin(90)] ÷ 1.66

sin(x) = 0.8012

x = arcsin(0.8012)

x = 53.2453°

Therefore, the light needs to have an angle of incident of 53.2453° in order to have a 90° angle of refraction.

How could a camping fire turn into a forest fire

Answers

Answer:

Campfires top the list of ways that humans start wildfires, the U.S. Forest Service said. Typically, campfires either grow out of control and the people who built the fire do not have a way to stop it, or they fail to extinguish the fire properly, allowing the fire to re-ignite after they leave.

Explanation:

Answer:

Explanation:

Wind can blow the ashes and ignite the leaves

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