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.

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Related Questions

A person weighs 734 N. What is their mass?

Answers

Answer:

Explanation:

Mass / Weight Converter Definitions. Ounce Avoir. An avoirdupois ounce is equal to 28.349523125 grams. The ounce is commonly used as a unit of mass in the United States and around the World. Ounce Troy. A troy ounce (abbreviation: t oz) is equal to 31.1034768 grams.

Answer:

74.84717

Explanation:

Consider an elevator carrying Kermit the frog weighing 4000.0 N is held 5.00 m above a spring with a force constant of 8000.0 N/m. The elevator falls onto the spring while subject to a frictional force (brake) of 1000.0 N. Determine the maximum compression distance, x, of the spring.

Answers

Answer:

Maximum compression distance (x) = 2.236 m (Approx)

Explanation:

Given:

Weight of frog = 4,000 N

Height = 5 m

Constant force = 8,000 N/m

Frictional force = 1,000 N

Find:

Maximum compression distance (x)

Computation:

Using Law of conservation;

mgh = 1/2(k)(x)²

4,000(5) = 1/2(8,000)(x)²

Maximum compression distance (x) = 2.236 m (Approx)

What is the minimum number of days per week you should exercise?

Answers

Answer:

Three days per week on average

Explanation:

I'd say 3 days at least to be healthy

Help please! I hope the given possibles help

Answers

Answer:

The answer is "[tex]5.184 \times 10^{23}[/tex] kg"

Explanation:

Given:

[tex]g= 6.003 \ \frac{m}{s^2}\\\\G= 6.67 \times 10^{-11} \ \frac{N - m^2}{kg^2}\\\\M=?\\\\radius= 2,400 \ km\\\\[/tex]

Calculating diameter:

[tex]Diameter =radius \times 2[/tex]

                [tex]=24\times 10^5 \times 2\\\\=48 \times 10^5 \ m[/tex]

The formula for mass calculation:

[tex]\to g = G \times \frac{M}{(\frac{d^2}{4})}\\\\\to g=G\times \frac{4M}{d^2}\\\\\to 4M= \frac{g \times d^2}{G} \\\\\to M= \frac{g \times d^2}{4G} \\\\[/tex]

         [tex]=\frac{6.003 \times (48 \times 10^{5})^2}{4 \times 6.67 \times 10^{-11}}\\\\=\frac{6.003 \times 2,304 \times 10^{10}}{26.68\times 10^{-11}}\\\\=\frac{13,830.912 \times 10^{10}}{26.68\times 10^{-11}}\\\\=518.4 \times 10^{21}\\\\= 5.184 \times 10^{23}\\\\[/tex]

SOMEONE PLEASE HELP WITH THIS QUESTION!!!!

Answers

Answer:

A 1

B 3

c 4

d 3

Explanation:

we are chaimpon boy i topped my school by cheating so donot study chill and watch movies like of sunny leon and Sabita bhabi

Force applied through a rope or string


A. force caused by gravity/weight force

B. Normal force

C. Friction force

D. Tension force

E. Applied force

Answers

The answer is D. Tension force :))

please help! i'll give brainliest!!

In a electromagnet that is made up of a D-cell battery with wire wrapped
around an iron nail, the ends of the wire being taped to the battery, what is
the core of the electromagnet?
D battery
wire
tape
iron nail

Answers

Answer:

it right. Its The Iron Nail i just did it and i got correct  (:

Explanation:

The core of the electromagnet if In an electromagnet that is made up of a D-cell battery with wire wrapped around an iron nail, the ends of the wire being taped to the battery is iron nail so, option D is correct.

What is an electromagnet?

A coil surrounding a magnetic core through which an electric current is conducted to magnetize the core is an electromagnet. Wherever controlled magnets are needed, such as in devices where the magnetic flux needs to be adjusted, reversed, or turned on and off, an electromagnet is utilized.

The idea of the magnetic circuit systematizes the engineering design of electromagnets. The ampere-turns of the coil that creates the magnetic field and magnetic flux in the magnetic circuit are known as the magneto motive force F, or Fm, in this context.

Thus, the core is an iron nail.

To know more about electromagnet:

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#SPJ2

What force must be applied to the end of a rod along the x-axis of length 2.25 m in order to produce a torque on the rod about the origin of 11 z-hat N·m? Choose among the available options below. x,y,z,-z

Answers

Answer:

4.9N approx.

Explanation:

Step one:

given data

length of rod r= 2.25m

Required torque = 11 Nm

Required

The force needed to produce a torque of 11Nm

Step two:

"By definition, Torque is the twisting force that tends to cause rotation.

The point where the object rotates is known as the axis of rotation."

Mathematically,

[tex]\tau = rF\sin\theta[/tex]

[tex]\tau[/tex] = torque

r = radius

F = force

[tex]\theta[/tex] = angle between F and the lever arm

in this case is zero

[tex]\tau = rF\\\\F=\tau/r[/tex]

substituting we have

F=11/2.25

F=4.88N

F=4.9N approx.

The temperature of a substance is 45 C. Convert this to Kelvin.

Answers

Answer:

it will be 318.5 Kelvin

When were the following metals discovered:
A. Iron
B. Gold
C. Brass
PLEASE ANSWER ALL !!!

Answers

Answer:

A. 4000 BC

B. January 24, 1848

C. 1400 BC

Explanation:

Please mark brainliest.


If you are trying to hit a baseball as far as possible, you would want to:

apply a small force over a short time
apply a small force over a long time
apply a large force over a short time
apply a large force over a long time

Answers

Apply a large force over a short time

A 0.85-kg arrow flies through the air at a speed of 19 m/s. What is the momentum of the arrow?
16 kg m/s
22 kg m/s
160 kg m/s
360 kg m/s

Answers

Answer:

16 kg m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 0.85 × 19 = 16.15

We have the final answer as

16 kg m/s

Hope this helps you

Whet net force is required to accelerate a car at a rate of 10 m/s2 if the car
has a mass of 5,000 kg?

Answers

Answer:

[tex]\boxed {\boxed {\sf 50,000 \ Newtons }}[/tex]

Explanation:

Force can be found by multiplying the mass by the acceleration.

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

The mass of the car is 5,000 kilograms and it's acceleration is 10 meters per square second.

[tex]m= 5,000 \ kg \\a= 10 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 5,000 \ kg * 10 \ m/s^2[/tex]

Multiply.

[tex]F= 50,000 \ kg*m/s^2[/tex]

1 kilogram meter per square second is equal to 1 Newton. So, our answer of 50,000 kg*m/s² is equal to 50,000 Newtons

[tex]F= 50,000 \ N[/tex]

A net force of 50,000 Newtons is required to accelerate a 5,000 kilogram car at 10 meters per square second.

Which element has a complete valence electron shell?


a selenium (Se)

b oxygen (O)

c fluorine (F)

d argon (Ar)



WILL GIVE BRAINLY FIRST AWNSER

Answers

Answer:

the answer is d.

Explanation:

Argon (Ar) has a complete valence electron shell.

Answer:

d) argon

.............

Why is it possible to see yourself in an object that reflects light, but not in one that scatters light?

Answers

Reflection is when light bounces off an object. If the surface is smooth and shiny, like glass, water or polished metal, the light will reflect at the same angle as it hit the surface. This is called specular reflection. ... Most of the things we see are because light from a source has reflected off it.

What is the internal composition of the planet Venus?

Answers

Answer:

Structure. Venus is in many ways similar to Earth in its structure. It has an iron core that is approximately 2,000 miles (3,200 kilometers) in radius. Above that is a mantle made of hot rock slowly churning due to the planet's interior heat.

Explanation:

Answer:

It has an iron core 2,000 miles in Radius. Its a hot rock slowly churning due to the heat.

Explanation:

Hope this helps ∞<3

Which of the following would increase the gravitational force of attraction between two objects?
A.-Doubling the mass of both objects, only
B.-Doubling the mass of both objects and doubling the distance between the objects
C.-Doubling the mass of one object and doubling the distance between the objects
D.-Doubling the distance between the objects, only

Answers

Answer:

Doubling the mass of both objects

Explanation:

If you double the mass of both objects, the gravitational force will quadruple, if you move the objects away from each other, the gravitational force will decrease

The gravitational force of attraction is increased by doubling the mass of both objects.

According Newton's law of Universal gravitation force, two objects in the universe attracts each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of distance between them.

[tex]F = \frac{Gm_1 m_2}{R^2}[/tex]

where;

R is the distance between the two objects

Thus, we can conclude that by doubling the mass of both objects or reducing the distance between them, the gravitational force of attraction increases.

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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:

HELP ASAP FAST PLEASE I NEED HELP
Mechanical energy is defined as


Question 1 options:


the energy of motion and position, which is represented by the formula KE + PE = ME



potential energy



Energy of motion



Energy of machines and tools

Answers

Answer:

energy of motion is represented by formula KE+PE=ME

Answer:

formula:

KE+PE=ME

Explanation:

HOPE IT HELPS!

thank me later

2. What is the pH of ammonia?

Answers

Answer:

Le pH de l’ammoniac est de 11.6

Explanation:

11.6

Ammonia is moderately basic; a 1.0 M aqueous solution has a pH of 11.6, and if a strong acid is added to such a solution until the solution is neutral (pH = 7), 99.4% of the ammonia molecules are protonated.

What average net force is required to stop a 1950 kg car in 10.5 s if it’s initially traveling at 28m/s

Answers

Answer:

An average net force of 5200 N is needed to stop the car

Explanation:

Cinematics and Dynamics

Cinematics describes the variables involved in the movement without dealing with its causes. There are four main concepts in cinematics: Velocity (or its scalar equivalent, the speed), acceleration, time, and displacement (or the scalar equivalent, distance).

The acceleration can be calculated by:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The initial speed is vo=28 m/s, it stops (vf=0) in t=10.5 seconds, thus the acceleration is:

[tex]\displaystyle a=\frac{0-28}{10.5}[/tex]

[tex]a = -2.67~m/s^2[/tex]

The acceleration is negative because the car loses speed.

Knowing the mass of the car m=1950 Kg, we can calculate the net force required to stop the car by using the formula:

F = m.a =1950*2.67

F = 5200 N

An average net force of 5200 N is needed to stop the car

Which of the following is true about particles of matter?

Answers

What are the possible answers

Answer:

Matter is a substance which has mass and takes up space by volume the properties of matter are,

States of matter (solid,liquid,gas)are inter convertable.

Force of attraction varies from one kind of matter to another.

States of matter can be varied by varying temperature and pressure.

Explanation:

a pulley system with a diameter of 0.5 meters lifts an object 736 meters in 1.05 minutes. how many radians did the pulley move ? how many revolutions did the pulley make ? what was the angular velocity? what was the linear velocity ?

Answers

its b welcome

Explanation:

The gravitational pull between Pluto and the sun would be increased if...
A. Pluto was farther from the sun

B. Pluto was closer to the sun

Answers

Answer:

B. Closer to the Sun

Explanation:

I say this because the farther the weaker of a pull the Earth will have on it.

Let Me Know if I am right   :)

5. Describe the relationship between the buoyant force and the weight of an object if the object:
a) is floating
b) is sinking
c) is rising up through the water.​

Answers

A) the state of deep mental and physical therapy or relaxation

B) falling or moving to a lower level

C) up to owns kness

An object is solely influenced by the force of gravity and follows a parabolic path such as a rock thrown into the air. This is known
as what type of motion?
A)
circular
B)
linear
C)
periodic
D)
projectile

Answers

Answer:

B

Explanation:

After 4 half-lives, I ended up with 10 gram sample of
Carbon-14. What was the original amount of Carbon-14
that I started with?

Answers

Answer:

80g

Explanation:

The half - life is the time taken for half of radioactive substance to decay to half of its original composition.

After 4 half lives, the carbon - 14 sample is 10grams

 Now let us trace the decay of this substance;

At the 3rd  half life, it will have double the amount at the 4th half life;

                 2 x 10  = 20g

At the 2nd half life, there will be double the amount at the 3rd half life;

                20 x 2  = 40g

Originally, we are going to have;

               40 x 2 = 80g

please help I’m struggling

Answers

Answer:

11025 J

183.75 W

Explanation:

[tex]W=mgh\\W=(75\ kg)*(9.8\ m/s^{2})*(15\ m)\\W=11025\ J\\\\P=work/time\\P=(11025\ J)/(60\ s)\\P=183.75\ W[/tex]

State the equation that links thinking distance, braking distance and stopping distance

Answers

Impulse, F = m • a or F = m • ∆v / t

b. If we drop a ball from the roof, its falls
downward​

Answers

Answer:

yes ,what's the question

and if the question is why

then it's for gravity

Answer:

the ball falls downward due to gravity

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