Two figure skaters, one weighing 625 N and the other 725 N, push off against each other on frictionless ice. If the heavier skater travels at 1.5 m/s, how fast will the lighter one travel?

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{what \: is \: potential \: energy}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Potential energy: A type of energy which is possessed by an object due its position.

Example: A raised weight or when we raise any weight is a potential energy.

[tex]\large{\underline{\underline{\pmb{\frak {\color {red}{Question:}}}}}}[/tex]

[tex] \sf \red{on \: which \: factor \: potential \: energy \: depends}[/tex]

[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]

Potential energy depends upon three factors. They are:

[tex] \boxed{ \huge \frak \red{brainlysamurai}}[/tex]

The distance, van travels while coming to rest after brake applied is 6.4m

It states that the Work done in moving a body is equal to the change in kinetic energy of the body

Given is a delivery van  whose kinetic energy K.E = 80000J and the force applied to brake F = 12500 N.

The brakes are applied to stop the van, so, final velocity is zero. Then, change in kinetic energy will be

According to work energy theorem, work done is

W = ΔK.E = K.Ef - K.Ei

W = -  80000J

Work done is also defined as the product of force applied and the distance it travelled.

W = Fs

80000 = 12500 x s

s = 6.4 m

Thus, the distance, van travels while coming to rest after brake applied is 6.4m

Learn more about work energy theorem.

https://brainly.com/question/10063455

#SPJ1

From the diagram The value of cos C × sin A = [tex]\frac{3}{4}[/tex]

First step : determine the values of cos C and sin A

cos C = adjacent / hypotenuse

          = a / b

          = [tex]\sqrt{3} / 2[/tex]

          = √3/2

sin A = sin 60⁰

         = √3/2

Therefore the numerical value of cos C * sin A = [tex]\frac{3}{4}[/tex]

In conclusion From the diagram The value of cos C × sin A = [tex]\frac{3}{4}[/tex]

Learn more about right angle : https://brainly.com/question/24323420

#SPJ1

Explanation:

[tex]a = \frac{v - v _{i} }{t} [/tex]

Her intial velocity is 10

Her final velocity is 2

Time is 10 seconds.

[tex]a = \frac{2 - 10}{10} [/tex]

[tex]a = - \frac{4}{5} [/tex]

The car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.

The average velocity of the car is calculated as follows;

x(t) = a + bt + ct2

v = dx/dt

v(t) = b + 2ct

v(0) = -10.1 m/s + 2(1.1)(0) = -10.1 m/s

v(10) = -10.1 + 2(1.1)(10) = 11.9 m/s

V = ¹/₂[v(0) + v(10)]

V = ¹/₂ (-10.1  + 11.9 )

V = 0.9 m/s

Thus, the car’s velocity as a function of time is b + 2ct and the car’s average velocity during this interval is 0.9 m/s.

Learn more about velocity here: https://brainly.com/question/4931057

#SPJ1

Answer:

Currently 1,915

Explanation:

I don't know if this is still exactly accurate to date, but when I answered this question, an astronomer had been tracking that many constallations

The electric force between two charged particles can be increased by decreasing the distance between the two particles.

The technique of decreasing the separation distance between objects increases the force of attraction or repulsion between the objects. while

increasing the separation distance between objects decreases the force of attraction or repulsion between the objects.

Read more on Electric Force:

https://brainly.com/question/17692887

#SPJ1

Answer:

Explanation:

If generator really means alternator as used in cars, the following can be said:

The rotor is fed with a variable voltage ranging from 0 volt to 12 volts. The 2 brushes (fixed, not rotating, like the stator) make contact with two rings that are rotating with the rotor. The rotor acts like a fixed magnet, but the magnetic field strength is constantly updated to provide a constant output voltage, even if the load current change or the motor speed change.

The stator is basically 3 coils and 6 diodes that convert the 3 phases of AC output to an almost ripple-free DC.

Note that as more energy is extracted from the alternator (for example, adding 10 amps by turning on the headlights) the shaft resists more rotation. This can be easily tested by holding an alternator in your hand, and trying to rotate the shaft by hand with no load (rotate easily, keep rotating for a few seconds), then short-circuiting the output (much harder to rotate, stop rotating immediately). The quest for magical perpetual energy where a motor is powered by an alternator is a child's dream.

The error percentage in measuring the volume of the cylindrical box is 6.3 x 10⁻³ %

The total error percentage in measuring the volume of the cylinder is calculated as follows;

Volume of cylinder = πr²h

Volume of cylinder = π(0.03r)²(0.07h)

Volume of cylinder = (6.3 x 10⁻⁵)πr²h

Error in measuring the volume = 6.3 x 10⁻⁵ x 100% = 6.3 x 10⁻³ %

Learn more about percentage error here: https://brainly.com/question/5493941

#SPJ1

Answer:

Valence electrons

Explanation:

I don't exactly understand the question. However, I do know that the main commonality between elements of the same group (column) is their valence electrons. Valence electrons are very important when it comes to bonding, ionization, etc.

A Personality test is said to be reliable because (A). a reliable test will give consistent results over time.

Personality test can be defined as a test that can be used to verify or ascertain an individuals personality.

Personality test is a test that is carried out by different organizations to help to help them know the individuals in that organization and to help others know how to relate and work with them.

In conclusion, A Personality test is said to be reliable because a reliable test will give consistent results over time.

Learn more about Personality test: https://brainly.com/question/1360758

#SPJ1

Answer:

a.

Explanation:

The depth of immersion of the uniform cylindrical rod is 0.63m.

This is defined as the distance in which a body reaches when it is submerged.

Depth of immersion = Volume/Cross-sectional area

Volume = Cross-sectional area × length

               = 0.1m² × 0.63m = 0.063m³

Depth of immersion = 0.063m³ / 0.1m²

                                  = 0.63m

Read more about Depth of immersion here https://brainly.com/question/13554650

#SPJ4

The maximum speed the car can move without skidding is determined as 28 m/s.

The maximum speed of the car moving in a circular path is provided by static frictional force.

Fs = μFₙ = mv²/r

μFₙ = mv²/r

mv² = μFₙr

v² = μFₙr/m

[tex]v_{max} = \sqrt{\frac{\mu_s F_n r}{m} } \\\\v_{max} = \sqrt{\frac{\mu_s (mg) r}{m} } \\\\v_{max} = \sqrt{\mu_sgr} \\\\v_{max} = \sqrt{(0.8)(9.8)(100)}\\\\v_{max} = 28 \ m/s[/tex]

Learn more about maximum speed here: https://brainly.com/question/4931057

#SPJ1

The power generated or output power of the turbine is determined as 42.96 W.

The power generated or output power of the turbine is calculated as follows;

eff = 0utput power/1nput power x 100%

13 = 0utput power/(0.62 x 533)

0.13 = 0utput power/330.46

0utput power = 0.13 x 330.46

0utput power = 42.96 W

Thus, the power generated or output power of the turbine is determined as 42.96 W.

Learn more about 0utput power here: https://brainly.com/question/20038729

#SPJ1

By Newton's second and third laws, we have the following net forces at

[tex]\sum F_x = -T_1 \cos(60^\circ) + T_2 \cos(60^\circ) = 0[/tex]

[tex]\sum F_y = T_1 \sin(60^\circ) + T_2 \sin(60^\circ) - 600 \,\mathrm N = 0[/tex]

Together, these equations tell us [tex]\boxed{T_1=T_2\approx 346 \,\mathrm N}[/tex].

[tex]\sum F_x = T_3 \cos(20^\circ) - T_2 \cos(60^\circ) - T_5 = 0[/tex]

[tex]\sum F_y = T_3 \sin(20^\circ) - T_2 \sin(60^\circ) = 0[/tex]

[tex]\sum F_x = -T_4 \cos(20^\circ) + T_1 \cos(60^\circ) + T_5 = 0[/tex]

[tex]\sum F_y = T_4 \cos(20^\circ) - T_1 \sin(60^\circ) = 0[/tex]

Combining the horizontal force equations for points B and C and using the fact that [tex]T_1=T_2[/tex] gives

[tex](T_3 \cos(20^\circ) - T_2 \cos(60^\circ) - T_5) + (-T_4  \cos(20^\circ) + T_1 \cos(60^\circ) + T_5) = 0 + 0[/tex]

[tex]\implies (T_3 - T_4) \cos(20^\circ) = 0 \implies T_3=T_4[/tex]

Then combining the vertical force equations for B and C, we find

[tex](T_3 \sin(20^\circ) - T_2 \sin(60^\circ)) + (T_4 \sin(20^\circ) - T_1 \sin(60^\circ)) = 0 + 0[/tex]

[tex]\implies 2 T_3 \sin(20^\circ) - 2 T_1 \sin(60^\circ) \implies T_3 = \dfrac{\sin(60^\circ)}{\sin(20^\circ)} T_1[/tex]

so that [tex]\boxed{T_3 = T_4 \approx 877 \,\mathrm N}[/tex]

Lastly solve for [tex]T_5[/tex] using either horizontal force equation for B or C.

[tex]-T_4 \cos(20^\circ) + T_1 \cos(60^\circ) + T_5 = 0[/tex]

[tex]\implies T_5 = \left(\dfrac{\sin(60^\circ)}{\sin(20^\circ)} - \cos(60^\circ)\right) T_1 \implies \boxed{T_5 \approx 651\,\mathrm N}[/tex]

Answer:

V = λ f    (wavelength * frequency)

λ  = V / f = 343 m/s / 262 / s = 1.3 m

Answer:

The angle of the Sun's rays:

At about June 21 the sun is directly overhead at about 23 deg north of the equator

On about Dec 21 the sun is directly overhead at about 23 deg south of the equator

It is this tilt 23 deg to the ecliptic (path of earth about sun) that causes the major temperature changes on earth

Answer:

ioinl

Explanation:

Answer:

The velocity after 2 seconds can be found through:

V = u +a*t

Where V is final velocity, u is initial velocity, a is acceleration and t is time.

V = 0 + 2* 2= 4 meters/second

The distance (s) can be found through:

V^2= u^2 +2*a* s

Where V is final velocity, u is initial velocity, a is acceleration.

4^2= 0^2 + 2 *2*s

16= 0 + 4s

s= 4 meters

Distance (s) can also be found through:

s= ut + 1/2 at^2

s= 0+ 1/2 *2*2^2= 1 *2*2

s= 4 meters

Explanation:

If potential energy is conserved or remain the same, the ball will bounce 3 m high.

The principle of conservation of energy states energy can neither be created nor destroyed  but can be converted from one form to another.

If we apply the principle of conservation of energy, the total potential energy will remain the same.

P.E(initial) = P.E(final)

Thus, If potential energy is conserved or remain the same, the ball will bounce 3 m high.

Learn more about potential energy here: https://brainly.com/question/1242059

#SPJ4

Answer:

maybe

Explanation:

young rocks may be found near volcanoes

As the moon phase approaches full we say the Moon has now completed one half of the lunar month.

This is defined as the time it takes the Moon to pass through all of the phases.

When the moon approaches full then itn has completed one half of the lunar month which is the time taken to form a new moon.

Read more about Moon here https://brainly.com/question/18517840

#SPJ1

Answer:

a. the light diverges when it passes through the lens.

Explanation:

All the light rays after passing through the concave lens diverge and when produced backwards appear to meet at a point on the principal axis of the lens. This point is known as principal focus of a concave lens.

The universe may indeed have an end one day according but it is yet to be shown in science.

While there is certainly no way a person will live long enough to know if the universe will end or not, nevertheless certain scientific calculations are helpful.

From astronomical calculations, the universe is anticipated to have existed for about 13.8 million years. Thus, the universe may indeed have an end one day according but it is yet to be shown in science.

Learn more about the universe:https://brainly.com/question/15844073

#SPJ1

The kinetic energy in the first case is 4 times more than the second case.

Hence, option D)It is 4 times greater is the correct answer.

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

For the first case, kinetic energy of the car will be;

K = (1/2)mv²

K = (1/2) × m × (16m/s)²

K = (1/2) × m × 256m²/s²

K = mass × 128m²/s²

For the second case, kinetic energy of the car will be;

K = (1/2)mv²

K = (1/2) × m × (8m/s)²

K = (1/2) × m × 64m²/s²

K = mass × 32m²/s²

Comparing the kinetic energy of the car with the same mass but different velocity, we can see that the kinetic energy in the first case is 4 times more than the second case.

Hence, option D)It is 4 times greater is the correct answer.

Learn more about kinetic energy here: brainly.com/question/12669551

#SPJ1

If the net force acting on a moving object causes no change in its velocity, the object's momentum will stay the same.

Momentum of a body in motion refers to the tendency of a body to maintain its inertial motion.

The momentum is the product of its mass and velocity.

This suggests that if the net force acting on a moving object causes no change in its velocity, the momentum of the object will remain the same.

Therefore, if the net force acting on a moving object causes no change in its velocity, the object's momentum will stay the same.

Learn more about momentum at: https://brainly.com/question/13554527

#SPJ1

Answer:

The speed of the wave will decrease (due to a shorter wavelength after passing from air to a more dense medium)

Answer:

  toward the center of the circular curve

Explanation:

An object will follow a circular path at constant speed if and only if its net acceleration is constant and directed toward the center of the curved path.

__

The result force is directed toward the center of the circle.

_____

Additional comment

If any part of the result force is in the direction of motion, the speed will not be constant. If the center-directed force is not constant, the path will not be circular.

Answer:

you will use the OTDR tool ti will very much so help

Explanation: