A 0.050 kg ball starts from rest at some unknown height on a toy roller coaster.
At a later time, it travels through the top of a loop at 2 m/s and a height of 0.40 m.
Since this track is frictionless, what was the starting height of the ball?

Answers

Answer 1

Answer:

The starting height of the ball is approximately 0.604 m

Explanation:

The given parameters are;

The mass of the the ball = 0.050

The speed with which it travels through the top loop = 2 m/s

The given height at which the ball moves at 2 m/s = 0.40 m

Therefore, we have;

1/2·m·v² = m·g·h

1/2·v² = g·h

h = 1/2·v²/g = 1/2 × 2²/9.81 ≈ 0.204

The additional height = h = 0.204 m

Therefore;

The starting height of the ball  ≈ The given height at which the ball moves at 2 m/s + h

The starting height of the ball  ≈ 0.40 + 0.204 = 0.604 m

The starting height of the ball ≈ 0.604 m.

Answer 2

When any object in rest, then potential energy is present. But when object is in motion then object have kinetic energy.

Starting height of the ball is 0.604 m.

We know that, when any object is start from rest, then potential energy is converted into kinetic energy.

     [tex]\frac{1}{2}mv^{2} =mgh[/tex]

Where m is mass of object, g is gravitational acceleration , h is height and v is velocity of object. (value of g = 9.81 m/ second square)

from above equation,

we get,     extra height        [tex]h=\frac{v^{2} }{2g} \\\\h=\frac{4}{2*9.81}\\\\h=0.204[/tex] meter

The starting height of the ball will be sum of the height at which ball moves 2 m/s and extra height.

Starting height = 0.40 + 0.204 = 0.604 meter.

Learn more:

https://brainly.com/question/18963960


Related Questions

A spring has a spring constant of 120 N/m. How much energy is stored in the spring as it is stretched a distance of 0.20 meter?

Answers

Answer:

2.4J

Explanation:

Given parameters:

Spring constant  = 120N/m

Extension  = 0.2m

Unknown:

Amount of energy  = ?

Solution:

The energy stored in this stretched spring is called the elastic potential energy.

It can be derived using the expression below:

 Elastic Potential energy  = [tex]\frac{1}{2}[/tex] ke²  

k is the elastic constant

e is the extension

  Insert the parameters;

        Elastic potential energy  =  [tex]\frac{1}{2}[/tex]  x 120 x 0.2²  = 2.4J

A parallel-plate capacitor is constructed using adielectric material whose dielectric constant is 3.00 and whose dielectric strength is 2.00X108V/m. The desired capacitance is 0.250 μF, and the capacitor must withstand a maximum potential difference of 4.00 kV. Find the minimum area of the capacitor plates.

Answers

Answer:

A = 0.188 m²

Explanation:

First we find the distance between the plates by using the formula of electric field intensity:

E = ΔV/d

d = ΔV/E

where,

d = distance between plates = ?

ΔV = Potential Difference = 4 KV = 4000 V

E = Electric Field = 2 x 10⁸ V/m

Therefore,

d = 4000 V/(2 x 10⁸ V/m)

d = 2 x 10⁻⁵ m

Now, we find the Area of Plates by using formula of capacitance:

C = A∈₀∈r/d

where,

C = Capacitance = 0.25 μF = 0.25 x 10⁻⁶ F

A = Area of Plates = ?

∈₀ = Permittivity of free space = 8.85 x 10⁻¹² C/N.m²

∈r = Dielectric Constant = 3

Therefore,

0.25 x 10⁻⁶ F = A(8.85 x 10⁻¹² C/N.m²)(3)/(2 x 10⁻⁵ m)

A = (0.25 x 10⁻⁶ F)(2 x 10⁻⁵ m)/(3)(8.85 x 10⁻¹² C/N.m²)

A = 0.188 m²

Which of the following charts correctly compares plant and animal cells?

Answers

Answer:

Wheres the charts??

Explanation:

I need the charts so I can help

When a 0.622 kg basketball hits the floor, its velocity changes from 4.23 m/s down to 3.85 m/s up. If the average force was 72.9 N, how much time was it in contact with the floor?
(Unit = s)
Remember: up is +, down is -

Answers

Answer:

t = 0.0689 s

Explanation:

Given that,

Mass of a basketball, m = 0.622 kg

Initial velocity, u = 4.23 m/s (downward or negative)

Final velocity, v = 3.85 m/s (up of positive)

Average force, F = 72.9 N

We need to find the time it was in contact with the floor. The force is given by :

[tex]F=ma\\\\F=m\dfrac{v-u}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{0.622\times (3.85-(-4.23))}{72.9}\\\\t=0.0689\ s[/tex]

So, the time of contact is 0.0689 s.

What do scientists hope to learn from missions to visit asteroids?

Answers

Answer:

The mission will help scientists investigate how planets formed and how life began, as well as improve our understanding of asteroids that could impact Earth.

Explanation:

Hope this helps :)

A car travels 3500 m in 200 seconds what is the car speed

Answers

Answer:

17.5 m/s

Explanation:

We can calculate the meters per second by dividing the distance by time. 3500 divided by 200 is 17.5, therefore the speed is 17.5 meters per second.

In zoes egg experiment which two forces are balanced to keep it from hitting the pan

Answers

Answer:

The forces of push and pull

Explanation:

In the egg drop experiment, the egg is balanced on top of a toilet paper tube and balanced on a pan. The pan itself is placed on top of a glass of water. When the experimenter uses his hands to push the pan, the force of gravity pulls the egg downwards making it move down, right into the glass of water.

So the two forces which are applied in opposite directions are;

1. The force of push applied horizontally by the hand when it pushes the pan away, and

2. The force of pull caused by gravity which makes the egg move vertically downwards.

Answer:

Forces of push and pull

the strongly blown ballon gets blasted why?

Answers

Answer:

Because of pressure.

Thanks

Explanation:

The pressure bursts out the balloo

When you blow up a balloon, you force extra air into it, creating higher air pressure inside the balloon than outside of it. Given the chance, the air molecules will move to a lower-pressure environment—which is why, if you let go of a balloon's opening without tying it off, air you added will rush out again

ANSWER QUICK!!
describe two uses for microwave radiation

Answers

heat food, warm water

Jack jumped off a diving board and hit the water at 15.68 m/s downward. How long was he falling for before he hit the water?

Answers

Answer:

1.6 s

Explanation:

From the question given above, the following data were:

Velocity (v) = 15.68 m/s

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

Thus, we can calculate the time taken for Jack to hit the water by using the following formula:

v = gt

15.68 = 9.8 × t

Divide both side by 9.8

t = 15.68 / 9.8

t = 1.6 s

Therefore, it took Jack 1.6 s to hit the water.

which one?? please someone quick!​

Answers

Answer:

i think its second law of motion.

Explanation:

Answer:

it’s the second law

Explanation:

please help !!!!! I’ll give brainliest !

Answers

Answer:

Honestly for me it's a bit too blurry. Sorry luv.:(

Explanation:

PLS HELP which ones would be made of cells? and which ones show cell walls?

Cork, Sponge, Wood, Plastic, Tree

Answers

The first question's answer depends on what you mean by "sponge". If you're talking about sea sponges, then all but plastic are made up of cells. Some sponges used for cleaning are also made of plant material but also other, non-organic materials like dyes.

Cell walls are only present in plant cells, so they would be found in cork (derived from a certain tree bark), wood, and trees. Synthetic sponges made with plant material might also contain them, but they wouldn't be made entirely of cells with walls.

From given options or choices all are made up of cells except plastic and among the other four Cork, Sponge, Wood, and tree all show cell walls except Sponge.

A cell is the basic structural unit of all living organisms and contains various cell organelles. On the base of different cell organelles or presence or absence of the certain organelles help in distinct and divide the cell type.

The major types of cells are:

Prokaryotic cellsEukaryotic cells

Plastic is not a living organism as there are no cells and is made up of polymers of hydrocarbon.

The cell wall is one of the major cellular structures that helps in identifying the type of cell organism and protects the organism from the external environment. It classifies the organism on its constituent of the cell wall.

In eukaryotic cells, animal cells have no cell wall, however, fungi cells, plant cells have a cell wall. A sponge is an animal and other cork wood, and trees are plants or plant-based products.

Thus, the sponge does not show the cell wall.

Learn more about the cell wall:

https://brainly.com/question/18662393

A 3900 kg truck is moving at 6.0 m/s what is the kinetic energy

Answers

Answer:

70200J

Explanation:

k.E = 1/2mv^2

K.E = 1/2(3900)(6)^2

Here you go, hope this helped

Students are asked to design an experiment about Newton’s 2nd Law. One student decides to roll a marble down a ramp into a pile of sand to measure the force impact.
Which variable should she manipulate to best exemplify the relationship explained by this law?

A.She should use a heavier marble, because the marbles will roll at the same rate of acceleration but more mass will produce a larger impact force.


B.She should increase the slope of the ramp by propping it up to higher height, because a steeper ramp will cause a greater rate of acceleration and a larger impact force.


C.She should use a heavier marble, because a bigger marble will accelerate more quickly down the ramp and cause a greater impact force.


D.She should decrease the slope of the ramp, because a ramp with a smaller slope will allow the ball more time to build up speed and cause a greater impact force.

Answers

Answer:

A

Explanation:

Trust me I just took it !

How much Tension force is required to pull a 1500 kg car (it is being towed) forward with an acceleration of 3 m/s^2 if the friction force on the towed car's tires is pulling backward with a force of 2500 N?

Answers

If the pull is done horizontally, then the net force on the car is

F = T - f = (1500 kg) (3 m/s²)

where T is the magnitude of the tension in the towing cable, and f is the friction which points in the opposite direction. Then

T = f + (1500 kg) (3 m/s²)

T = 2500 N + 4500 N

T = 7000 N

A 2000 kg minivan runs into a 800 kg car that was at rest at a stop sign and they stick together. If the compact car does not stick to the van but, instead, causes the minivan to come to a complete stop. How fast will the car be going after the collision?

Answers

Answer:

 v₂ = 2.5 v₁

car leaves at 2.5 times the speed of the minivan

Explanation:

This is an exercise of conservation of the momentum, to solve it we create a system formed by the minivan and the car, therefore during the crash the forces are internal and the momentum is conserved.

Initial instant. Before the crash

        p₀ = M v₁+ 0

Final moment. After the crash

        [tex]p_{f}[/tex] = M 0 + m v₂

how momentum is conserved

         p₀ = p_{f}

         M v₁ = m v₂

         v₂ = [tex]\frac{M}{m}[/tex] v₁

           

let's calculate

        v₂ = 2000/800 v₁

        v₂ = 2.5 v₁

therefore the car leaves at 2.5 times the speed of the minivan

bold completed over 100m in 9.58
seconds what is his average speed​

Answers

Answer:

At the Berlin 2009 World Championships, Bolt set a world record time of 9.58 seconds for the 100m race, notching a top speed of 27.8 miles per hour (44.72 kilometers per hour) between meters 60 and 80, with an average speed of 23.5 mph.

Explanation:

How can you double the acceleration of an object if you cannot alter the object’s mass?
plz helpppp

Answers

Answer:

If you double the force, you double the acceleration, but if you double the mass, you cut the acceleration in half.

Explanation:

you can double the net force

Matter can exist in hw many states​

Answers

Answer:

Matter can exist in four different states: solids, liquids, gases and plasma.

Explanation:

Hope this helps :)

What type of energy is stored in a pendulum at the top of its arc?

Answers

Answer:

potential

Explanation:At this point the energy is stored in a form called potential energy. This means that the system has the potential to do work or to become active thanks here to the weight's position high above the lowest point of its swing.

I was gonna say that so in case you have doubts (person who uploaded question) your good to go

Sharon is driving on a straight road. She is driving north, and her speed is
decreasing. If north is the positive direction, which of the following
statements is accurate?

A) Her velocity is positive, and her acceleration is negative.

B) Her velocity is negative, and
her acceleration is negative.

C) Her velocity is negative, and her acceleration is positive.

D) Her velocity is positive, and her acceleration is positive.

Plzz help

Answers

Answer:

b

Explanation:

b is the correct answer

Answer:

b. Her velocity is positive, and her acceleration is negative.

Explanation:

Help me please help me it’s due today

Answers

I believe it’s parallel circuit. If one of the bulbs is removed then that bulb will be off but other bulb will remain lit.

But I’m case it’s series circuit then if one of the circuit is removed then all the bulbs will turn off because there is only one path for the current to flow

Answer:

Explanation:

A)  The function of a switch is to shut the circuit down. There is a current flow of zero. Press the switch again and the circuit works.

Answer: D

B) a. This is a parallel circuit. It is the way all house wiring works.

B) b. Nothing happens. The other two bulbs continue on as before until someone presses the switch.

define unit aland how many types of unit are there . Name them?​

Answers

Answer:

7. They arethe meter (m), the kilogram (kg), the second (s), the kelvin (K), the ampere (A), the mole (mol), and the candela (cd)

Explanation:

7. They arethe meter (m), the kilogram (kg), the second (s), the kelvin (K), the ampere (A), the mole (mol), and the candela (cd)

a block weighing (Fg) 50 N is resting on a steel table (us = 0.74). The minimum force to start this block moving is what N

Answers

Answer:37

Explanation:

Jason rides his bicycle for 3 hours at a speed to 40 km/h. What distance does he
travel? -

Answers

Answer:

120km

Explanation:

a man hits a golf ball (0.2kg) which accelerates at a rate of 20 m/s/s . what amount of force acted on the ball

Answers

Answer:

4 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 we have

force = 0.2 × 20

We have the final answer as

4 N

Hope this helps you

Answer:

The ball only accelerates during the brief time that the club is in contact

with it. After it leaves the club face, it takes off at a constant speed.

If it accelerates at 20 m/s² during the hit, then

  Force = (mass) x (acceleration) = (0.2kg) x (20 m/s²) = 4 newtons .

Explanation:

What is the velocity of the rock after 3.00 seconds (the rock is falling from a cliff)

Answers

Answer:

29.4 m/s

Explanation:

Using the formula: V=Vi + g.t

where V: final velocity, this is  what you want.

Vi: initial velocity, equals to zero as it is falling from rest.

g: acceleration due to gravity = 9.8

t: time, which equals 3 sec.

Colette launches an air rocket in the upward, positive direction. It launches
with an initial velocity of 25.5 m/s. It accelerates in the downward, negative
direction at a rate of 9.81 m/s2. After 3.5 seconds, what is the magnitude of
the rocket's displacement?

A) 29 meters

B) 31 meters

C) –150 meters

D) 150 meters

Answers

Answer:

b

Explanation:

Answer:

The answer is A) 29 meters

Explanation:

I got this question right on the test! :)

Coretta feels confident in her abilities, and she frequently makes contributions to her local community. Based on this information, what can you assume is true about Coretta?

A She has good emotional health.
B She makes self-esteem a priority.
C She recently improved her mental health.
D She exercises at least twice a day.

Answers

I would say it’s probably A

Answer:

A She has good emotional health.

Explanation:

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