Juan's weight is twice the weight of his little sister Anna. They climb the same set of stairs and find they have the same power. Explain how this can be possible?

Answers

Answer 1

Answer:

We can define power as:

P = W/t

where W is work, and t is time.

And the work needed to climb a distance (we can assume that climb a set of stairs is equivalent to climbing a given height) is:

W = g*h*m

Where:

g = gravitational acceleration

h = height climbed

m = mass.

g and h are the same for Juan and his sister, and the only thing that changes is the mass

The work for Juan is:

Wj = g*h*M

And for his sister, that has half his

Wa = g*h*M/2.

Then the power for Juan, is:

Pj = Wj/t1 = (g*h*M)/t1

Where t1 is the time that Juan needs to climb the stairs.

And for Anna is:

Pa = Wa/t2 = (g*h*M/2)/t2

Where t2 is the time that Anna needs to climb the stairs:

We know that they have the same power, then:

Pj = Pa

(g*h*M)/t1 = (g*h*M/2)/t2

M/t1 = M/2*t2

t1 = 2*t2

This means that the time in which Juan climbs the stairs is twice the time that Anna needs to climb the stairs.


Related Questions

A 2 kg object is a distance of 10,000,000 m away from the center of Earth, which has a mass of nearly 6×1024 kg. What is the approximate gravitational field strength of Earth’s gravitational field at the location of the 10 kg object?


A2 N/kg

B 4 N/kg

C 10 N/kg

D The gravitational field strength is negligible and, therefore, approximately zero.

Answers

Answer:

4 (N/kg) or B

Explanation:

An application of the equation for Newton’s law of universal gravitation can be used to determine the gravitational field strength at the 2 kg object’s location.

The approximate gravitational field strength of Earth’s gravitational field at the location of the 10 kg object is 4.00 N/kg. Hence, option (B) is correct.

Given data:

The mass of object is, [tex]m = 2\;\rm kg[/tex].

The distance of object from Earth is, [tex]d=10,000,000\;\rm m[/tex].

The mass of Earth is, [tex]M=6 \times 10^{24} \;\rm kg[/tex].

The expression for the gravitational field strength of Earth is,

[tex]g = \dfrac{GM}{d^{2}}[/tex]

Here, G is the universal gravitational constant and its standard value is [tex]6.67\times10 ^{-11} \;\rm Nm^{2}/kg^{2}[/tex].

Solve by substituting the values as,

[tex]g = \dfrac{6.67 \times 10^{-11} \times 6 \times 10^{24}}{(10,000,000)^{2}}\\g \approx 4.00 \;\rm N/kg[/tex]

Thus, we can conclude that approximate value of gravitational field strength of Earth at the location of object is 4.00 N/kg. And option (B) is correct.

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Which is a result of using a machine?

Answers

Answer:

Yes labor is required therefor jobs like cashier, and other low skill labor jobs I'll not be required

Explanation:

A student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 35 2. How much current
flows through the circuit? (AKS 10a)
A.47 A
B. 5.83 A
C.25 A
D.17 A

Answers

Answer:

D

Explanation:

6/35=0.17

Intermolecular distance is the distance between the particles that make up matter. The graph below compares the intermolecular distances in two substances. One substance is gas and the other is a liquid.
Which statement best describes the two substances?

A. Particles collide in liquids so Substance Y is a liquid
B. Particles collide in gas so Substance X is a gas.
C. Particles move around in liquids so Substance X is a liquid.
D. Particles move around in gas so Substance Y is a gas.

Answers

Answer:

y has to be a liquid and x would be a gas

Explanation:

the closer two molecules are, greater is the force of attraction which makes them stick together and give it a structure

here y has lesser intermolecular distance so it is a liquid

particles will collide in gas though as

liquid particles have constant motion

25 points! Will give brainliest!

1. Draw the diagram

2. List the Givens

3. Select the correct equation to solve for and manipulate the equation

4. Substitute the given values


A ball is thrown horizontally from the roof of a building 60 m tall with a speed of 6.9 m/s.

a.How much later does the ball hit the ground?

b. How far from the building will it land?

c. What is the velocity of the ball just before it hits the ground?

Answers

Answer:

B my brother say that it was

A car has a speed of 2 m/s and a mass of 1500kg. What is the car’s kinetic energy

Answers

Answer:

3,000 m/s

Explanation:

3,000 m/s

Which could be an example of a balanced force?
An asteroid moving at a constant speed through space
A box of dishes falling from a counter
A rocket taking off
O A car accelerating from a stop sign

Answers

Answer:

An  asteroid moving at a constant speed through space.

Explanation:

An example of a balanced force is; an asteroid moving at a constant speed through space.

A balanced force is a force that does not produce acceleration or cause motion of a stationary body. According to Newtons first law, a body continues in its state of rest or uniform motion unless it is acted upon by an unbalanced force.

The asteroid is moving at constant velocity because all the forces that act on it are balanced. Once it is acted upon by unbalanced forces, it will accelerate in obedience to Newton's first law.

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Students want to build a simple motor to demonstrate the relationship between magnetism and electricity. Each student group has a wooden block, paper clips, a battery, and some copper wire. What additional material is necessary to build a simple motor?





A.

An iron nail is necessary to produce a temporary magnetic field.
B.

A magnet is necessary to produce a permanent magnetic field.
C.

An iron nail is necessary to act as the electrical circuit load.
D.

A magnet is necessary to act as the electrical circuit load.

Answers

Answer:

B. A magnet is necessary to produce a permanent magnetic field.

Explanation:

When building a simple motor, a permanent magnet is necessary to produce a magnetic field in which opposite North South polarity which will help in rotating the main copper core when the battery is connected.  

Examine the weather map.

A weather map of the United notes. The following are shown on the map: major cities with high and low temperatures; high and low pressure systems; types of precipitation, fronts. The arrow is pointing to an H in a circle.

What does the symbol indicated by the arrows most likely represent?

a hurricane
low pressure
high pressure
high temperatures

Answers

Answer:

High pressure.

Explanation:

The symbol H indicates high pressure, while the symbol L indicates low pressure. Therefore, option C is correct.

What is a weather map?

A weather map is a map of the world or a portion of it that uses symbols to depict the weather conditions at a given time, including temperature, pressure, wind speed and direction, humidity, clouds, visibility, and type and amount of precipitation.

Different kinds of weather maps are used by meteorologists to display forecasts. Satellite, Doppler radar, precipitation, temperature, and wind speed are the primary weather maps. Let's investigate each of these in greater depth. There are four types of weather maps and that is station model map, aviation map, temperature map, and streamline map.

The symbol H indicates high pressure. Therefore, option C is correct.

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The projectile launcher shown below will give the object on the right an initial horizontal speed of 5.9 m/s. While the other object will be dropped with no initial speed. The objects are initially 179 cm above the ground and separated by 142 cm. What will be the difference in the landing locations of the two objects?

Answers

Answer:

104.3 cm  or 179.7

Explanation:

First find time that it takes for the object to hit the ground

[tex]\sqrt{(2H)/g} -> \sqrt{(2 x 179)/ 9.8} = 6.04s\\[/tex]*

Then find xf of projectile [tex]xf= 5.9(6.04) = 37.7\\\\[/tex]

not 100% sure if the projectile is going away from the object or towards it but you either do 142- 37.7   or    142+37.7  

hope that helps

"217 cm" would be the difference throughout the landing locations of the two objects.

Given:

Initial horizontal speed,

v = 5.9 m/s

Height,

h = 179 cm

By applying equation of motion, we get

→               [tex]S = ut+\frac{1}{2}at^2[/tex]

By substituting the values, we get

→ [tex]179\times 10^{-2}=0+\frac{1}{2}\times 9.8\times t^2[/tex]

→            [tex]3.58= 9.8t^2[/tex]

                 [tex]t^2 =\frac{3.58}{9.8}[/tex]

                  [tex]t = \sqrt{0.36531}[/tex]

                     [tex]= 0.61 \ s[/tex]

now,

The horizontal distance travelled by the first particle will be:

→ [tex]d = v\times t[/tex]

     [tex]= 5.9\times 0.61[/tex]

     [tex]= 3.59 \ m[/tex]

or,

     [tex]= 359 \ cm[/tex]

hence,

The distance between particle will be:

= [tex]d -142[/tex]

= [tex]359-142[/tex]

= [tex]217 \ cm[/tex]

Thus the above approach is right.

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An airplane accelerates down a runway at 3.20 ms for 32.8 seconds until it finally lifts off the ground determine the distance traveled before takeoff

Answers

Answer:

105 meters.

Explanation:

If the airplane moves with the speed of 3.20 m/s for 32.8 seconds on the ground before takeoff, it covers 105 meters distance on the ground. We can calculate the distance by using the formula of speed which is speed is equal to distance divided by total time taken. We have to remove time present below the distance so for that we have to cross multiply and we get distance equal to speed x time. So by putting the values of speed and time we get our answer.

Anyone please help me with this ???I need help with question a,c,d, and e ???ASAP 12 points

Answers

A-the boy exerting 500 N to the right direction
The rope exerting 500N to to left
C- 0
D- no he won’t
E- the net force will change, and the boy will be able to pull the rope more with the wall
Because there will be no opposite force on the gauge to cancel the one the boy is exerting

why do the stars appear like pointed objects​

Answers

Answer:

because of where we are and our distance away from them, in reality they're giant balls of burning gas, like the sun. some stars are even bigger than the sun

Explanation:

Help thank you...............

Answers

Answer:

do explain what u need help with?

what is the kinetic energy of a 7.26 kg bowling ball that is rolling at a speed of 2m/s

Answers

Answer:

14.52 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 7.26 \times {2}^{2} \\ = 2 \times 7.26[/tex]

We have the final answer as

14.52 J

Hope this helps you

calculate the densities of the following materials. Material A has a volume of 2 cm 3 and mass of 30 g.​

Answers

Answer:

0.015kgcm^3

Explanation:

density = mass / volume

density = (30/1000) / 2

= 0.015kgcm^3

Mechanical weathering is also called ______weathering

Answers

Answer:

physical

Explanation:

physical weathering and disaggregation, causes rocks to crumble. Water, in either liquid or solid form, is often a key agent of mechanical weathering. For instance, liquid water can seep into cracks and crevices in rock.

Which describes a SEA BREEZE?

Answers

Answer:

A sea breeze describes a wind that blows from the ocean inland towards land. ... However, water heats up much more slowly than land and so the air above the land will be warmer compared to the air over the ocean. The warm air over the land will rise throughout the day, causing low pressure at the surface.

Explanation:

This should be right!

After a storm, a hospital may have to rely on backup generators to power some equipment. Which is the energy conversion provided by the generators?

A. mechanical to electrical energy

B. thermal to mechanical energy

C. nuclear to mechanical energy

D. thermal to electric energy

Answers

Answer:

in a generator mechanical energy is a device that converts a form of energy into electricty

The energy conversion provided by the generators is: mechanical to electrical energy. Hence, option (A) is correct.

What is working principle of  electric generators?

An electric generator is a device that generates electric energy, which can either be immediately delivered to houses, businesses, and other structures or stored in batteries. Electromagnetic induction is the basis for how electric generators operate.

A horseshoe-shaped magnet's poles are quickly rotated around a conductor coil, which is a copper coil that has been tightly wound onto a metal core. An armature is made up of a conductor coil and a core. The armature is rotated by a mechanical energy source, such as a motor, by means of a shaft connection.

The magnetic field that exists between the magnet's two poles is broken off when the coil turns. The conductor's electrons will interact with the magnetic field, causing an electric current to flow through it.

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i need help on this 8th grade knowledge please

Answers

The object that is accelerating is the hockey puck.


Explanation:
Acceleration doesn’t necessarily mean getting faster it just means a progressive change in speed. So, either speeding up or slowing down. Therefore the hockey puck is slowing down meaning it has a negative acceleration. It cannot be the first one because if it’s not in motion it’s not accelerating, it cannot be the soccer ball because it’s moving at a constant speed which is why the unit is m/s because it’s saying it’s moving at a constant speed of 3 m/s so therefore since it’s constant it’s not getting any faster or slower so no acceleration, and then the last one is just describing a displacement so it’s not acceleration.

20. A cannon shoots a ball at 38 m/s at an angle of 30°. Ignore the original height of the cannon and assume level ground.
a.How long is the cannon ball in the air?

b. How far does the cannon ball travel?

c.What is the maximum height of the cannon ball?

Answers

Answer:
a.3.87s
b.127.36m
c.18.4m

Step by step explanation:
Refer to the diagram

Two skaters stand facing each other. One skater's mass is 60 kg, and the other's
mass is 75 kg. The two skaters push off each other. After the push, the smaller
skater has a velocity of 3.0 m/s. If no other forces are acting on the skaters, what
is the velocity of the larger skater?

Answers

Answer:

v' = 2.4 m/s

Explanation:

Given that,

Mass of one skater, m = 60 kg

Mass of the other's skater, m' = 60 kg

The two skaters push off each other. After the push, the smaller  skater has a velocity of 3.0 m/s.

When there is no external force acting on a system, the momentum remains conserved. It means initial momentum is equal to the final momentum. Let v' is the velocity of the larger skater.

mv = m'v'

[tex]v'=\dfrac{mv}{m'}\\\\v'=\dfrac{60\times 3}{75}\\\\v'=2.4\ m/s[/tex]

So, the velocity of the larger skater is 2.4 m/s.

Which of the following is NOT part of a circuit?
a. rim
b.conductor
c.power source
d.load

Answers

I believe it’s a. Rim

At what point or points of the swing is your kinetic energy the least?


Kinetic energy is least at the both at the lowest point and at the top of the swing when you are still for a moment at the highest point just before falling again.


Kinetic energy is least at the top of the swing when you are still for a moment at the highest point just before falling again.


Kinetic energy is least as you are moving from the highest point of the swing moving down to the lowest point of the swing.


Kinetic energy is least at the lowest point at the bottom of the swing.

Answers

Answer:

The correct option is;

Kinetic energy is least as you are moving from he highest point of the swing moving down to the lowest point of the swing

Explanation:

The formula for the kinetic energy, KE, is given by the following formula;

KE = 1/2 × m × v²

Where;

m = The mass of the body in the study

v = The velocity of motion of the body

Therefore, the kinetic energy increases with velocity and therefore, is lowest at the top of the swing when the object is still for a moment

The total mechanical energy of the body is given by the following equation;

Total mechanical energy, [tex]E_T[/tex] = PE + KE = Constant

Where;

PE = The potential energy of the body = Mass × Acceleration due to gravity × Height

Therefore, the potential energy is highest at the top of the motion and lowest at the lowest point, which gives;

The kinetic energy is lowest at the top of the motion and highest at the lowest point of the motion.

An earthquake has just occurred in the North Pole. Could detectors in the South Pole detect the S wave?

Answers

Answer:

YES THEY CAN

Explanation:

SOUTH POLE IS CLOSER TO NORTH POLE,kinda

A player throws a javelin at an unknown angle with a horizontal velocity 20 m/s and vertical velocity 60 m/s. Find its angle and resultant velocity.

Answers

Answer:

63º~64º

Explanation:

so imagine a graphic with a triangle. The distance between the zero and the horizontal (x) is 20 and the distance between 0 and vertical (y) is 60

20 = base

60 = height

hypotenuse = L

tg = cato/cata

tg = 60/20

tg = 2

I give up

It takes me 12s to lift a box upward with 20 N of force to a height of 45m. What was my power output ?

Answers

Answer:

75Watts

Explanation:

Given parameters:

Time  = 12s

Force applied  = 20N

Height  = 45m

Unknown:

Power output  = ?

Solution:

Power is defined as the rate at which work is done.

 It is mathematically expressed as;

        Power  = [tex]\frac{work done}{time}[/tex]

Work done  = force x distance  = 20 x 45  = 900J

        Power  = [tex]\frac{900}{12}[/tex]   = 75Watts

What causes a partial lunar eclipse?
1. A partial eclipse causes the Moon to turn reddish from the refraction of the Sun's rays through the Earth atmosphere.
2. Only the penumbra of the Earth passes across the Moon, creating a circular shadow.
3. The Earth's umbra fits inside the Moon, creating an illuminated ring known as an annular eclipse.
4. The Earth's umbra only covers a part of the Moon causing a circular shadow to pass across it.

Answers

Answer:

4. The Earth's umbra only covers a part of the Moon causing a circular shadow to pass across it.

Explanation:

i took the quiz

If you shake one end of a rope up and down , a wave passes through the rope. Which type of wave is it?

Answers

Answer: a transverse wave

Explanation:

Answer:

a transverse wave

Explanation:

I think

At one focus of the ellipse of a planet’s orbit is the _______ and the other focus has nothing.

Answers

Around the sunnn........................
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