romeo (75.0 kg) entertains juliet (57.0 kg) by playing his guitar from the rear of their boat at rest in still water, 2.70 m away from juliet, who is in the front of the boat. after the serenade, juliet carefully moves to the rear of the boat (away from shore) to plant a kiss on romeo's cheek. what if? if the lovers both walk toward each other and meet at the center of the boat, how far (in m) and in what direction does the boat now move?

The current in the filament is halved following the doubling of its length.

Let the current flowing in the filament as I, the electric field in the conductor is E and the length of the conducting filament is L.

We know from ohm's law,

I = V/R

where V is the potential difference and R is the resistance of the conductor,

We also know,

R = ρL/A

where ρ is the resistivity of the conductor and the A is the area of the conductor,

I = VA/ρL

I/A = V/ρL

I = AE/ρ

if area and resistivity are constant,

I ∝ E

Here E = V/L

If V = constant,

E ∝ 1/L

Means we can conclude,

I ∝ E ∝ 1/L

So we can tell that on doubling the length of the filament will decrease the current by half.

To know more about Ohm's Law, visit,

https://brainly.com/question/796939

#SPJ9

Answer:

Potential Energy.

Explanation:

Kinetic Energy is when an object is moving and it's the speed when it's released but Potential Energy is when the object is stand still/at rest, like the arrow, as the archer holds the arrow back.

The car travels a distance of 75 m.

Given:

Initial velocity (u) = 0 m/s

Because the body stars from rest,

Time (t) = 5 sec

Final velocity = 15m/s

Using first equation of motion,

v = u + at

15 = 0 + a(5)

5a = 15

a = [tex]\dfrac{15}{5}[/tex]

a = 3 [tex]m/s^{2}[/tex]

∴Therefore Acceleration = 3m/s²

Using third equation of motion:-

s = Ut + ½ at²

s = (0 × 5) + ½ × 3 × (5)²

s = ½ × 3 × 25

s = [tex]\dfrac{75}{2}[/tex]

s = 37.5m

Hence the  Distance moved by the car  = 37.5 m

Learn more about Acceleration and distance at

https://brainly.com/question/12804099?referrer=searchResults

The force acting on the object will be 32 N.

Newton's second law of motion states that, "the force is equal to the change in momentum per change in the time". The mathematical form of the law is given below.

[tex]F = \frac{dP}{dt}=\frac{d(mv)}{dt}=m\frac{dv}{dt}=ma[/tex]

Where P = momentum, t = time, m =mass, v = velocity, a = acceleration and F = force.

The mass of the object is 4 kg and acceleration is 8 m/s^2. Substitute the values in the equation and we will get the force.

F = ma

F = 4 kg * 8 m/s^2

F = 32 kg.m/s^2

F = 32 N

To know more about force here:

https://brainly.com/question/13191643

#SPJ1

Answer:

1. Thermal Energy

Explanation:

The elements which are in the unknown according to the diagram given is He and is therefore denoted as option C.

This is referred to as a type of graph which shows the intensity of light being emitted over a range of energies and it varies with properties such as wavelength or frequency. When light is passed through a prism, band of colors are usually observed which signifies light spectrum with the plural being spectra.

In the diagram given , the element He and the unknown have the most similar spectra observed as a result of the lines which fall in almost the same range and place and it makes it the most likely component of the mixture of unknown gases.

This is therefore the reason why option C was chosen as the most appropriate choice.

Read more about Spectra here https://brainly.com/question/19042165

#SPJ1

The temperature of the lower-temperature reservoir in the Carnot engine is 266 K, while the temperature of the higher-temperature reservoir is 341 K.

This is basically a two unknowns problem. If we mark the temperature of the higher-temperature reservoir as H (for hot) and the temperature of the lower-temperature reservoir as C (for cold), we know the following:

H - C = 75.0 °C = 75 K,

and the efficiency of Carnot engine is calculated in the following manner:

0.22 = 1 - C/H ⇒ C/H = 1 - 0.22 = 0.78 ⇒ C = 0.78H

Now we use that in the first equation:

H - 0.78H = 75.0 K = 0.22H ⇒ H = 75.0 K / 0.22 = 341 K

C = 0.78H = 0.78 * 341 K = 266 K

You can learn more about the Carnot engine here:
brainly.com/question/13161769

#SPJ4

C. The mass of the gases and the ash should equal the mass of the initial stack of newspapers. (conservation of mass)

Answer:

c

Explanation:

Convection differs from radiation in the sense that in radiation, matter is not involved. Option D.

The term heat transfer has to do with the movement of heat from one point another. Recall that heat transfer is one of the things that does occur in nature. There are three kinds of heat transfer that occur in nature and these are;

Let us recall that in the process of convection, there is the movement of heat from one point to the other via the actual movement of the particles of the substance.  On the other hand, radiation occur when heat is transferred without an movement or contact between the objects  between which the heat is transferred. Thus, when air masses are moving, it is a process of convection taking place.

Hence, the difference between conduction and radiation is that matter is involved in convection but not in radiation.

Learn more about convection:https://brainly.com/question/16635311

#SPJ1

Answer:

battery

Explanation:

A battery establishes an electric potential difference.

Answer:

D) Battery

Explanation:

Battery is a source that produces electric charges with different concentrative regions

[tex].[/tex]

Answer:

See below

Explanation:

x = time     y = position (displacemet)

The number of protons that strikes the target is  1.7325 x 10²² protons.

The quantity of a charge is the amount of charge or electron flowing over a given period of time.

Mathematically, the quantity of a charge is given as;

Q = It

where;

Q = (126 A) x (22 s)

Q = 2,772 C

The charge of the proton is 2,772 C.

The number of protons in a 2,772 C charge is calculated as follows;

1.6 x 10⁻¹⁹ C ---------> 1 proton

2,772 C ---------------> ?

= (2,772 x proton) / (1.6 x 10⁻¹⁹)

= 1.7325 x 10²² protons

Thus, we can conclude that during a period of 22 seconds, a total of .7325 x 10²² protons struck the target.

Learn more about quantity of charges here: https://brainly.com/question/18102056

#SPJ1

If you walk due south from (60,40,966), we will ascend at the rate of 0.8. The location of something in relation to another is referred to as its direction.

To create the resulting vector, two vectors facing the opposite direction are subtracted from one another. Here, the vector B runs counterclockwise to the vector A, and the resulting vector R is

Consider,

z=1000−0.005x2−0.01y2∇f(x,y)

=⟨fx,fy⟩fx

=∂/∂x(1000−0.005x2−0.01y2)

=−0.01xfx

=∂/∂y(1000−0.005x2−0.01y2)

=−0.02y

Therefore,

∇f(x,y)

=⟨−0.01x,−0.02y⟩

At (60,40),∇f(60,40)

=⟨−0.01(60),−0.02(40)

=⟨−0.6,−0.8⟩

If you walk due south, the unit vector in the direction is

u=−j or ⟨1,−1⟩

Du(60,80)

=∇f(60,40)⋅⟨1, −1⟩

=⟨−0.6,−0.8⟩.⟨1,−1⟩=0.8

Therefore, if you walk due south from (60,40,966), we will ascend at the rate of0.8

The complete question is- Suppose that you are climbing a hill whose shape is given by z=934−0.06x2−0.1y2, and that you are at the point (80,50,300) In which direction (unit vector) should you proceed initially in order to reach the top of the hill fastest?

Learn more about vector here-

https://brainly.com/question/13322477

#SPJ4

So there are two types of friction one is kinetic friction which acts when car skid on icy pavement and other is rolling friction which acts which helps tire to roll along the surface now as we know that coefficient of rolling friction μr is greater than coefficient of kinetic friction μk  .

So due to which friction force will be more effective when tire rolls along the surface not skid so in order to stop car in minimum distance possible on icy pavement should apply brakes more gently.

Kinetic friction is defined as a force that acts between shifting surfaces. A body moving at the floor reviews a force in the opposite direction of its motion. The importance of the force will rely on the coefficient of kinetic friction among the two materials.

Learn more about kinetic friction here:- https://brainly.com/question/20241845

#SPJ1

The minimum horizontal speed with which the cat must jump off the first roof in order to make it to the other is 12.82 m/s.

The time of motion of the dog's jump is calculated as follows;

Apply the following kinematic equation and determine the time of motion of the cat's Jump.

h = vt + ¹/₂gt²

where;

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 3 / 9.8)

t = 0.78 second

The minimum horizontal distance traveled by the cat is calculated as follows;

x = Vt

where;

V = x/t

V = (10 m) / (0.78 s)

V = 12.82 m/s

Thus, the minimum horizontal speed with which the cat must jump off the first roof in order to make it to the other is determined by applying the formula for range of a projectile.

Learn more about horizontal distance here: https://brainly.com/question/24784992

#SPJ1

Sunlight will take 8 minutes to reach the Earth.

Sunlight is part of the electromagnetic radiation emitted by the Sun, especially infrared, visible and ultraviolet light.

Light is travelling with the speed of [tex]3 * 10^{8}[/tex] m/s

Distance between Sun and Earth is 144 million km

1 km = 1000 m

1 million km = [tex]10^{6}[/tex] km

[tex]10^{6}[/tex] km = [tex]10^{9}[/tex] m

144 million km = 144 * [tex]10^{9}[/tex] m

According to the speed, distance and time relationship, speed is directly proportional to the ration of distance and time.

[tex]3 * 10^{8} = \frac{144 * 10^{9} }{Time}[/tex]

Time = [tex]\frac{144 * 10^{9} }{3* 10^{8} }[/tex]

Time = 480 sec

Time = 8 minutes

Time taken by the sunlight to reach the Earth's surface is 8 minutes.

To know more about Sunlight,

https://brainly.com/question/28447824

#SPJ1

Answer:

colder because of moisture

115 kilos are given to us as m r, so m r equals m t. T is stated as 115 kilos when T is 4.5 meters per second divided by the combined velocity, which is 2.6 meters per second. This now weighs 84.04 kilos. As a result, the receiver's mass, m r, is determined to be 84 kilograms.

We are provided the tackler's mass, m, which is 120 kilos. A tackle moves at a speed of 4.4 meters per second. The combined velocity of the tackler and the receiver, designated as b r, is now given as 0 meters per second.

Let's say it's indicated as 3 m/sec since, based on the principle of momentum conservation, we know that the system's initial and end linear moments should be equal. The initial momentum is now m r v, r plus m t v, t equals m r plus m t, which is the combined mass into v, and this term now goes to zero since we are as zero, which is the initial velocity of the receiver. This phrase ends at 0. Now that t = m r + m t into v, we obtain m t v.

Now, if we rearrange this, we obtain m r = m t v, t by v, and m t less. Sorry, minus m t, so m r equals m t v, t by v minus m t, and now enter all the given values into v. For example, 115 kilos are given to us as m r, so m r equals m t. T is stated as 115 kilos when T is 4.5 meters per second divided by the combined velocity, which is 2.6 meters per second. This now weighs 84.04 kilos. As a result, the receiver's mass, m r, is determined to be 84 kilograms.

To know more about velocity click on the link:

https://brainly.com/question/18084516

#SPJ4

The value of the normal force is 3.9x10^2

Using the formula for friction,

Ff = UsN

Where

Us is the coefficient of static friction.

N is the normal force.

To get the crate moving, enough force must be applied to overcome the static friction:

Fapplied = Ff

Since Fapplied = 43 Newtons:

43 = UsN

Us = 0.11, so all you have to do is isolate N by dividing both sides by 0.11

43/0.11 = N = 390.9 which is approximately 391 = 3.9x10^2

Learn more on coefficient of static friction from:

https://brainly.com/question/1953579

#SPJ4

Answer:

See image

Explanation:

Plato

There are three factors that affect gravitational potential energy:

Gravitational potential energy is potential energy an object holds when falls towards another object due to gravity.

for instance, if we lift a stone and try to throw it from a height, it will have gravitational potential energy whereas stones in the ground have no gravitational potential energy.

the formula of GPE:  E = mgh where

m = mass, g = gravity and h = height

To learn more about gravitational potential energy, follow the below link:

https://brainly.com/question/24284560

Momentum of system remains conserved before and after the collision. Thus, a. Total momentum of system, p = 125kg-m/s

b. New momentum of first object, p = 100kg-m/s

c. Momentum transferred to 1.0kg object, p = 41.6kg-m/s

d. Final velocity of 1.0kg object, v = 41.6m/s

Given, mass of first object  [tex]m_{1}[/tex]= 5.0kg and mass of second object [tex]m_{2}[/tex] = 1.0kg

Velocity of first object [tex]v_{1}[/tex]= 25m/s and velocity of second object [tex]v_{2}[/tex] =0 m/s

Thus, Total momentum of the system, p = mv

[tex]p= m_{1} v_{1} +m_{2} v_{2}[/tex]

p = 5*25 + 1*0

p = 125kg-m/s

Now, after collision first object continues to move with final velocity 20m/s. Hence, new momentum, p = mv

p = 5*20

p = 100 kg-m/s

Momentum transferred to 1.0kg object, p= mv

where m = 1.0kg and v = final velocity of 1.0kg object

For calculating final velocity of second object,

[tex]v_{2f} = (\frac{2m_{1} }{m_{1} +m_{2} } )v_{1i}+ (\frac{m_{2}-m_{1} }{m_{1}+m_{2} } )v_{2i}[/tex]

[tex]v_{2f}[/tex]= [tex](\frac{2*5}{5+1} )25 + (\frac{1-5}{5+1} )[/tex]*0

[tex]v_{2f} = 41.6 m/s\\[/tex]

Thus, momentum transferred to 1.0kg object, p = mv

p = 1* 41.6

p = 41.6kg-m/s

Learn more about momentum here https://brainly.com/question/1042017

The force exerted by the string on the ball does not do work on the ball if a ball is twirled in a circle at the end of a string.

W = F d cos θ

F = Force

d = Displacement

θ = Angle between applied force and displacement

If the string provides centripetal force, the force is acting towards the end of string that is constant. The direction is always tangential to the circular motion.

θ = 90°

W = 0

The work done is maximum when the force vector and displacement act in the same direction. Because if they both act in same direction, θ = 0° and W = F d cos 0° = F * d

Therefore, the force exerted by the string on the ball does not do work on the ball in this situation.

To know more about centripetal force

https://brainly.com/question/14249440

#SPJ1

The final velocity of the rocket when it hits the ground is 71 m/s.

The final speed of the rocket will help us to determine how fast it is falling when it hits the ground.

Apply the following kinematic equation to determine the final velocity of the rocket

v = u + gt

where;

v = 22 m/s  +  (9.8 m/s²) x (5 s)

v = 22 m/s  +  49 m/s

v = 71  m/s

Learn more about final velocity here: https://brainly.com/question/25905661

#SPJ1

Answer:

use the equations of motion

The rock will travel 25m horizontally with an initial velocity of 5m/s.

The height of the cliff is 125 meters.

Let 'x' be the horizontal distance travelled by the rock when thrown from the cliff.

Vₕ = horizontal velocity of the rock

T = total time of flight of the rock

Therefore, we know x = Vₕ × T

x = 5 × 5

x = 25

So, the horizontal distance travelled by the rock is 25 meters.

Now to find the height of the cliff, we can use one of the equations of motion,

H = uT+ ½gt²

Therefore equating all the given values in the above equation;

H = 0 + ½gt² (since u=0, initial vertical speed)

H = ½×10×(5)²

H = 5 × 25

H = 125m

So, the height of the cliff is 125 meters.

Learn more about projectile motion in a horizontal direction here:

https://brainly.com/question/18613283

#SPJ9

Answer:

V = 127.4 m/s

Explanation:

Using the following expression:

V = V₀ + a * t

Applying to vertical movement:

V = 0 + g * t  (Start at rest and a = g = 9.8 m/s²)

V = g * t

V = 9.8 * (13)

V = 127.4 m/s

A psychologist differ from a biologist in that a psychologist deals with helping people solve their emotional and mental problems by way mind analysis while biologists are scientists who studies living organisms.

Biology refers to the study of life. Someone who studies biology is called a biologist.

The biologists helps us to understand the following:

So therefore, a biologists helps us understand all about plants and animals while the psychologists deals with studying human minds.

Read more on psychologists:

https://brainly.com/question/6646094

#SPJ1

First, with m = 0.123 kg, pressure force, T = 255N, and length = 10 m, Using the formula V = ?, we've haste of 144 m/s.

After 20 milli alternate = 0.02 s, the first palpitation would have run along the line for

This means that it only left 10m-2.88 m = 7.12 m for the 2 pulsesto run.

therefore, the distance which the 2 beats will first meet would be

from the position where the first pulse is transferred.

exactly the same as the answer at the reverse)

remaining distance is divided by 2 as the 2 pulse are moving with the same speed towards each other.

Mass

Mass is the volume of matter in a physical body. It's also a measure of the body's indolence, the resistance to acceleration( change of haste) when a net force is applied. An object's mass also determines the strength of its gravitational magnet to other bodies.

The SI base unit of mass is the kilogram( kg). In drugs, mass isn't the same as weight, indeed though mass is frequently determined by measuring the object's weight using a spring scale, rather than balance scale comparing it directly with known millions. An object on the Moon would weigh lower than it does on Earth because of the lower graveness, but it would still have the same mass. This is because weight is a force, while mass is the property that( along with graveness) determines the strength of this force.

To learn more about Mass click on the given link below.

https://brainly.com/question/16485729

#SPJ9

Im not sure but no one can kek lskhd. akshd

you have too high of a spin rate with your driver and irons.

The faster the swing speed the longer the distance from the tee. Therefore, to get the ball as far down the fairway as possible, you need to swing as hard as possible without losing balance posture, or control of the club. A softer ball provides more control on off-center shots and more distance on low-impact shots. I downgraded it a bit due to the high price.

These Titleist Tour golf balls are perfect for the beginner golfer who needs a lot of forgiveness on their shots. All in all the Pro is a seasoned athlete who hits the ball so far because he plays on the courts in the best possible conditions. Athletic golf skill maximizes swing speed, thereby maximizing distance. Fairway agronomy, on the other hand, pushes the ball farther. The reason taller golfers hit longer is primarily that their size provides a framework for greater leverage with more muscles and joints.

Learn more about Law motion here:-https://brainly.com/question/26083484

#SPJ1