12. A person in a wheelchair did 70.8 J of work on the chair to get it moving from rest at the bottom of a ramp,
taking 1.00 s to do so. She turned the wheel (which has a radius of 40.0 cm) one quarter turn before letting go and rolling back down. If the combined mass of her and the chair was 98.0 kg, what was her final velocity when she passed back over the bottom of the ramp?

Please help and show steps :)
WILL GIVE BRAINLY

Answers

Answer 1

Answer:

Her final velocity at she moves over the the bottom of the ramp is approximately 1.20204 m/s

Explanation:

The data of the energy used by the person in the wheel chair are;

The work done by the person, W = 70.8 J

The initial position of the wheel chair = At the bottom of the ramp

The time the person takes to do the work, t = 1.00 s

The number of turns she turned the wheel chair = 1/4 turns

The radius of the wheel of the wheel chair, r = 40 cm

The mass of her and the wheel chair, m = 98.0 kg

By the conservation of energy principle, we have;

The total mechanical energy of the motion, M.E. = The amount of work done by her in moving up the ramp = 70.8 J

M.E. = P.E. + K.E. = Constant

Where;

P.E. = Potential energy

K.E. = Kinetic energy

At the height she reached the ramp, M.E. = P.E. = 70.8 J

At the bottom of the ramp, P.E. = 0 J, therefore;

K.E. = 70.8 J

We have;

K.E. = (1/2)·m·v²

Where;

m = The mass of her and the wheelchair = 98.0 Kg

v = Her final velocity at the bottom of the ramp

By substitution, we have;

70.8 J =  (1/2) × 98.0 Kg × v²

v² = 70.8/((1/2) × 98.0) = 354/245

v = √(1,770)/35 ≈ 1.20204

Her final velocity as she passed back over the bottom of the ramp, v ≈ 1.20204 m/s.


Related Questions

Explain the purpose of a three-valve manifold in closed tank level measurement installations.

Answers

Answer:

A three valve manifold serves to protect the capsule from being exposed to pressures above the acceptable range and also enables transmitter isolation from the loop of the process

In closed tank level measurement installations the pressure of the gas if presence of gas on top of the liquid will need to be taken account by the use of a reference connection from the level transmitter to the tank top. The valve used in pressure equalization is kept close when the process system is operating normally.

In the event that the transmitter is removed or put into service, it is necessary to ensure that the gas phase which is at the higher pressure is does not over-range the Differential Pressure DP capsule

Explanation:

Which property determines and Adams ability to attract electrons shared in a chemical bond?

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Answer:

Electronegativity

Explanation:

Answer:

The property that determines an atom;s ability to attract electrons shared in a chemical bond is electronegativity.

Explanation:

Hope you have a great day :)

A projectile is launched from the ground with an initial horizontal velocity of 6.0m/s [right] and an initial vertical velocity of 5.0/s [up]. At what angle from vertical is it launched?

Answers

Answer:

θ = 39.8°

Explanation:

Her, we will use the trigonometric ratio of the tangent to find the launch angle of the projectile from the vertical:

[tex]tan\ \theta = \frac{v_y}{v_x}[/tex]

where,

θ = launch angle from the vertical = ?

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vx = horizontal component of velocity = 6 m/s

Therefore,

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θ = 39.8°

When a 9.00 V voltage is applied to a resistor, it drives 0.325 A of current through the resistor. How much power does the resistor use? (Unit = W)

Can someone please explain how to do this question.

Answers

Answer: 2.925

Explanation: :)

Answer:

2.925

Explanation:

The speed of light in a piece of plastic is 1.87 × 10^8 meters per second. What is the absolute index of refraction of this plastic?
options:
1.0
1.6
0.67
1.33

Answers

Answer:

n = 1.6

Explanation:

The formula for the calculation of the absolute index of refraction is given as follows:

[tex]n = \frac{c}{v}[/tex]

where,

n = index of refraction

c = speed of light in vacuum = 3 x 10⁸ m/s

v = speed of light in the piece of plastic = 1.87 x 10⁸ m/s

Therefore,

[tex]n = \frac{3\ x\ 10^8\ m/s}{1.87\ x\ 10^8\ m/s}[/tex]

n = 1.6

Gravity is the force that objects exert on each other because of their masses. The strength of the gravitational force between two objects
depends on two factors, mass and distance. How is gravity related to mass and distance? Choose ALL the statements that apply.
If one of the masses is doubled, the force of gravity between the objects is doubled.
As distance between the objects increases, the force of gravity decreases.
As distance between the objects increases, the force of gravity increases.
The more mass two objects have, the less the force of gravity the masses exert on each other
Greater mass results in greater force.

Answers

Explanation:

Newton's law of universal gravitation states that the force of gravity affects everything with mass in the universe. Newton's law also states that the strength of gravity between any two objects depends on the masses of the objects and the distance between them

What type of electromagnetic wave has a frequency of around 1012 Hz?​

Answers

Microwave frequencies range from about 109 Hz to the highest practical LC resonance at nearly 1012 Hz. Since they have high frequencies, their wavelengths are short compared with those of other radio waves—hence the name “microwave.” Microwaves can also be produced by atoms and molecules.

Pls Mark Brainliest if correct.

What is the direction of the force in question 2?
A) east
B) north
C) up
D) down

Answers

d down

Explanation:

i don't have an explanation because my uncle answered this question

The volume of gas decreases at constant temperature to 80% of the inital value. How does the pressure value change relative to the initial value

Answers

Answer:

The pressure value changes 400 % relative to the initial value.

Explanation:

Let suppose that the gas behaves ideally and represents a closed system, that is, a system with no mass interactions so that number of moles is conserved ([tex]n[/tex]). Since the variables involved in the isothermal process are pressure ([tex]P[/tex]) and volume ([tex]V[/tex]). Finally, the process is represented by the following relationship:

[tex]P_{1}\cdot V_{1} = P_{2}\cdot V_{2}[/tex] (1)

Where:

[tex]P_{1}, P_{2}[/tex] - Initial and final pressures.

[tex]V_{1}, V_{2}[/tex] - Initial and final volumes.

If we know that [tex]P_{1} = P_{o}[/tex], [tex]V_{1} = V_{o}[/tex] and [tex]V_{2} = 0.2\cdot V_{o}[/tex], then the final pressure of the closed system is:

[tex]P_{2} = P_{1}\cdot \left(\frac{V_{1}}{V_{2}} \right)[/tex]

[tex]P_{2} = 5\cdot P_{o}[/tex]

The pressure value changes 400 % relative to the initial value.

True or False? The most reactive metals are found in Period 1 of the Periodic Table.

Answers

Hydrogen is a very reactive gas, and the alkali metals are even more reactive. In fact, they are the most reactive metals and, along with the elements in group 17, are the most reactive of all elements.

Answer:

Explanation:

true

Which of the following organs is not a part of the respiratory system?

A.Nose
B.Lungs
C.Kidney
D.Trachea

Answers

Answer:

C

Explanation:

the rest are in the respiratory system.

Answer:

C. kidney

Explanation:

respiratory system means an organ that helps you to breathe a nose,lungs,trachea are an organ to help you breathe. However, Kidney is not, this is because the kidney is in the urinary system which means to eliminate waste from the body. The urinary system also includes bladder, ureters, urethra.

can someone please help thank u
(. ^ ᴗ ^. )​

Answers

3) The answer is (b) -8 m/s (pointing down)

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A measurement of a change
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Answers

Explanation:

Speed is the rate of change of distance with time.

PLS HELP I WILL MARK YOU AS A BRAINLEIST





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Answers

Answer:

A Chemical Reaction towards Oxygen, Water, and the Chemical Color.

What is the mass of a baseball that has a kinetic energy of 105 J and is traveling at 10 m/s?​

Answers

Answer:

[tex]\boxed {\boxed {\sf 2.1 \ kilograms}}[/tex]

Explanation:

Kinetic energy is the energy an object possesses due to motion. The formula 1/2 the product of mass and the squared velocity.

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

We know the baseball's kinetic energy is 105 Joules. It is also traveling at a velocity of 10 meters per second. `

First, convert the units of Joules to make unit cancellation easier later in the problem. 1 Joule (J) is equal to 1 kilogram square meter per square second (kg*m²/s²). The baseball's kinetic energy of 105 J is equal to 105 kg*m²/s².

Now we know 2 values:

[tex]E_k= 105 \ kg*m^2/s^2[/tex][tex]v= 10 \ m/s[/tex]

Substitute these values into the formula.

[tex]105 \ kg*m^2/s^2= \frac{1}{2} m (10 \ m/s)^2[/tex]

Now we need to solve for m, the mass. Solve the exponent.

(10 m/s)²= 10 m/s * 10 m/s = 100 m²/s²

[tex]105 \ kg *m^2/s^2 = \frac{1}{2} m (100 \ m^2/s^2)[/tex]

Multiply on the right side.

[tex]105 \ kg *m^2/s^2 = m (\frac{1}{2} * 100 \ m^2/s^2)[/tex]

[tex]105 \ kg *m^2/s^2 = m (50 \ m^2/s^2)[/tex]

The variable, m, is being multiplied by 50 square meters per square second. The opposite of multiplication is division, so we divide both sides by that value.

[tex]\frac {105 \ kg *m^2/s^2 }{50 \ m^2/s^2}= \frac{ m (50 \ m^2/s^2)}{50 \ m^2/s^2}[/tex]

[tex]\frac {105 \ kg *m^2/s^2 }{50 \ m^2/s^2}= m[/tex]

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[tex]\frac {105 }{50} \ kg= m[/tex]

[tex]2.1 \ kg=m[/tex]

The mass of the baseball is 2.1 kilograms.

In what ways do people use natural resources? What problems does use of those resources cause?

Answers

Answer:

The Challenges of Using Natural Resources

Extracting, processing and using natural resources can cause environmental problems such as: air, land and water pollution; disruption or destruction of ecosystems; and a decrease in biodiversity.

A race car reaches the finish line and the driver slows down to come to a stop. If it takes the car 10 seconds to stop at a constant acceleration of -12mph/s. What was the car's speed at the finish line?

Answers

Answer:

53.64 m/s

Explanation:

Applying,

a = (v-u)/t............. Equation 1

Where a = acceleration of the car, v = final velocity of the car, u = initial velocity of the car, t = time.

make u the subject of the equation

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From the question,

Given: a = -12 mph/s = -5.364 m/s², t = 10 seconds, v = 0 m/s (comes to stop)

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Alex drives his car 80 Km/h due east for 150 minutes to get to his school. How far did he travel in kilometer?

Answers

Answer:

200km

Explanation:

Use the formula Distance = speed × time ( transpose the speed formula )

Also remember to converted the minutes into hour because the answer asked for it in Km do this by dividing by 60

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Answers

Answer:

22

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a) ¼ of Bob is filled with mercury
b)¾ of Bob is filled with Mercury
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Answers

The period of a pendulum is independent of the mass of the bob so whether it's empty or filled with something, the period remains the same.

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Answers

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temporary iron r made up of soft iron its " true.."

stay safe healthy and happy.

A 240 V circuit has 20 A flowing through it. How much power is it using?

Answers

Explanation:

P = IV

V = 240

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A 12.0 V voltage is applied to a 1.11 * 10 ^ - 9 * F capacitor. How much charge is stored on the plates?

Answers

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Explanation:

Define Velocity.
Ty!​

Answers

Velocity is rate of change of position wrt frame of reference and time or alternately it's a speed with direction!

Calculate the resistance of a resistor that has a voltage drop of 25 V and a current flow of .5 A.

A. 25 Ohms

B. 50 Ohms

C. 12.5 Ohms

D. 0.02 Ohms

Answers

Answer:

V=IR

25. =0.5 ×RESISTANCE

RESISTANCE=25/0.5

=50 ohms

answer is option B

A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).A middle-A tuning fork vibrates with a frequency f of 440 hertz (cycles per second). You strike a middle-A tuning fork with a force that produces a maximum pressure of 5 pascals. Write a sine model that gives the pressure P as a function of the time t (in seconds).

Answers

Answer:

P = 5sin(880πt)

Explanation:

We write the pressure in the form P = Asin2πft where A = amplitude of pressure, f = frequency of vibration and t = time.

Now, striking the middle-A tuning fork with a force that produces a maximum pressure of 5 pascals implies A = 5 Pa.

Also, the frequency of vibration is 440 hertz. So, f = 440Hz

Thus, P = Asin2πft

P = 5sin2π(440)t

P = 5sin(880πt)

1. Identify the force acting as the
centripetal force when a car circulate
around a flat circular track.
O Friction
Gravitation
Normal
O Tension
2. Identify the force acting as the
centripetal force when a bucket is tied
to a string and swung around in a
circle over your head.
O Friction
Gravitation
Normal
Tension
3. Identify the force acting as the
centripetal force when the earth
orbits the sun
O Friction
Gravitation
Normal
Tension
4. Identify the force acting as the
centripetal force when a matchbox
car drives around a loop-the-loop on
its race car track

Answers

Answer: 1) Friction

2) Tension

3) Gravitation

4) Normal

Explanation:

Two asteroids are located a certain distance away from each other. They have the same mass . The gravitational force of attraction is f . If the mass of one of the asteroids is doubled, how will the gravitational force be affected

Answers

Answer:

F' = 2F

Explanation:

The gravitational force of attraction between asteroids is given by Newton's Law of Gravitation:

[tex]F = \frac{Gm_1m_2}{r^2}[/tex]

where,

F = Force

G = Universal Gravitational Constant

m₁ = m₂ = m = mass of each asteroid

r = distance between asteroids

Therefore,

[tex]F = \frac{Gm^2}{r^2}[/tex]   --------------------- eq(1)

Now, if we double the mass of one asteroid:

[tex]F' = \frac{G(2m^2)}{r^2} \\\\F' = 2\frac{Gm^2}{r^2}[/tex]

using equation (1):

F' = 2F

A capacitor is made by taking two sheets of aluminum foil, each 0.022 mm thick and placing between them a sheet of paper which comes from a ream of 500 sheets, the ream being 5.5 cm thick with sheets measuring 216 mm by 279 mm. What is the capacitance of the capacitor made this way if the dielectric constant of the paper is 3.7?


THE ANSWER SHOULD BE (18nF)

Answers

the answer is 18 nf in this equation

The capacitance of the capacitor if the dielectric constant of the paper is 3.7 :  18 nF

Given data :

Thickness of aluminium capacitor = 0.022 mm

Number of sheets = 500

Thickness of ream = 5.5 cm = 0.055 m

measurement of sheets = 0.216 m by 0.279 m

dielectric constant ( k ) = 3.7

Determine the capacitance of the capacitor

we will apply the capacitance formula below

C = Kε₀A / d

  = 3.7 * 8.85*10⁻¹² * 0.216 *0.279 / ( 0.055 / 500 )

  = 1.8 * 10⁻⁸F ≈ 18nF

Hence we can conclude that The capacitance of the capacitor if the dielectric constant of the paper is 3.7 :  18 nF

Learn more about Capacitance : https://brainly.com/question/13578522

2 pts
The energy and penetrating power of nuclear radiation in decreasing order is:
Alpha > beta > gamma
Beta > alpha > gamma
Gamma > beta > alpha

Answers

Answer:

I think the answer 1

Explanation:

im probably wrong too i dont know

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