suppose a boat moves at 16.4 m/s relative to the water. if the boat is in a river with the current directed east at 2.30 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (enter your answers in m/s.)

The gravitational force between them will change by a factor 1/9.

We need to know about gravitational force to solve this problem. The gravitational force is the force caused by two masses objects. The magnitude of gravitational force can be determined as

F = G.m1.m2 / R²

where F is the gravitational force, G is the gravitational constant (6.674 × 10¯¹¹ Nm²/kg²), m1 and m2 are the mass of the object and R is the radius.

From the question above, we know that

R2 = 3R1

By substituting the following parameters, we get

F2/F1 = G.m1.m2 / R2² / G.m1.m2 / R1²

F2/F1 = G.m1.m2 / (3R1)² / G.m1.m2 / R1²

F2/F1 = 1/9

For more on gravitational force at: https://brainly.com/question/19050897

#SPJ4

Answer:

1. A series circuit consisting of:

12 V electrical source

open switch

two light bulbs

10 Ω resistor

2. A parallel circuit consisting of:

9.0 V electrical source

open switch

three 5.0 Ω resistor

3. A circuit consisting of:

three 1.5 V cells connected in parallel

open switch

two light bulbs connected in series

two 15 Ω resistor connected in parallel

4. Draw a circuit diagram consisting of a

9.0 V battery, an ammeter, and a 25 Ω

resistor in series. Include a voltmeter

that is measuring the potential difference

across the resistor.

5. Draw a circuit diagram consisting of a

battery made up of two 1.5 V cells, one

closed switch, two lamps, and an

ammeter in series. Show the direction in

which the current flows.

6. Draw a circuit diagram consisting

of a battery made up of four 1.5 V

cells, one closed switch, one lamp, two

0.50 Ω resistors in series, and a

voltmeter.

Show the direction in which

the current flows.

It is a true statement that the three categories that American Imperialism sought to enhance were political, military, and economic.

The term imperialism has to do with a situation in which a country that tends to be more powerful continues to control a smaller country owing to the depends of the smaller country on the larger country for aid even though it is fully independent.

We can see that imperialism continues around the world especially in the developing and the less developed countries and this has continued to be an object of intense debate in many quarters.

Learn more about imperialism:https://brainly.com/question/26540071

#SPJ1

The molecules receive more energy and move faster after they have been heated up.

The term conduction has to do with the process by which heat is transferred along a body by the movement of the particles of the substance. There are three main modes of heat transfer and these are;

Now, we can see that before the flame was introduced, the molecules of the substances all maintained the same average position. The molecules do not move except there is a supply of energy.

Now, when we turn on the flame, we would notice that we have imparted additional energy to the particles that are in the solid when we heat it up. As such, the particles move more freely and we can see that  as the motion of the particles in the image. The portion that shows the particles after the heating shows that they are now translating.

Learn more about conduction:https://brainly.com/question/15085692

#SPJ1

The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.

In terms of math, μ is equal to F/N, where F stands for frictional force and N for normal force. The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons or pounds).

The static friction coefficient and the kinetic friction coefficient are the two different types of friction coefficients. While the latter is frequently referred to as the dynamic or sliding friction coefficient, the former is sometimes known as the starting friction coefficient.

A force that holds an object at rest is called static friction. When an object reaches its maximum size, it begins to move. Static friction has an identical magnitude in the opposite direction to any little force applied to an object. If the force is increased, eventually the object will begin to move after the maximum static friction value is reached.

To know more about coefficient of friction, click on the link below:

https://brainly.com/question/2254340

#SPJ9

The energy the bullet have when it leaves the barrel is 2000 J

The energy of the bullet when it leaves the barrel can be obtained as illustrated below:

Energy is defined as the ability to do work.

Energy (E) = Work (W)

Work (W) = force (F) × distance (d)

W = Fd

Thus,

E = W = Fd

E = 4000 × 0.5

E = 2000 J

From the above calculation, we can conclude that the energy of the bullet is 2000 J

Learn more about energy:

https://brainly.com/question/8623863

#SPJ1

Answer: I think it's 7.60 184

Explanation: If I did my math right it's 7.60 184

The velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.

Acceleration is defined as the rate of change of velocity with respect to time.

Given that you are driving your car at 20 miles per hour and then accelerate at a rate of 3 miles per hour every second.

We can calculate the acceleration using the formula -

a = Δv/Δt

a = (v - u)/t

Now -

t = 8 seconds = 0.0022 hrs

Then -

3 = (v - 20)/0.0022

3 x 0.0022 = v - 20

v = 20.0066 miles/hr

Therefore, the velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.

To solve more questions on Acceleration, visit the link below-

https://brainly.com/question/4596923

#SPJ1

The speed of the cat when it slide off the table is 2.27 m/s

To obtain the answer to the given question, we'll begin by obtainig the time taken for the cat to strike the floor. This can be obtained as follow:

h = ½gt²

0.94 = ½ × 9.81 × t²

0.94 = 4.905 × t²

Divide both side by 4.905

t² = 0.94 / 4.905

Take the square root of both side

t = √(0.94 / 4.905)

t = 0.44 s

The speed of the cat can be obatined as illustrated below:

s = ut

1 = u × 0.44

Divide both sides by 0.44

u = 1 / 0.44

u = 2.27 m/s

Thus, we can conclude that the speed of the cat is 2.27 m/s

Learn more about motion under gravity:

https://brainly.com/question/22719691

#SPJ1

The centripetal acceleration of the bike is 2.65 m/s².

Centripetal acceleration is the acceleration of an object moving in a circular track. This acceleration describes the rate of change of tangential velocity with time in the circular track.

The magnitude of the centripetal acceleration, can be determined by applying the formula for net force.

At constant speed, the centripetal acceleration of the bike is given as;

μmg = ma

μg = a

a = μg

where;

a = (0.27) x (9.8 m/s²)

a = 2.65 m/s²

Thus, the centripetal acceleration of the bike increases with increase in velocity.

Learn more about centripetal acceleration here: https://brainly.com/question/79801

#SPJ1

Answer:

time is 3 seconds.

Explanation:

formula is given in the picture

0.56 A is the current of the secondary coil.

transformer is the device that transfer electric energy from one AC circuit to another.

we know that ;

I ∝ 1/n;

where I IS CURRENT and n is NUMBER OF TURNS.

(I) secondary = X A

(n) secondary = 100

(I)  primary  = 0.04 A

(n)  primary  = 1400

USING THIS-----> I ∝ 1/n;

=>

0.04 A/X A =100/1400

=>X=0.56 A

as the current in the transformer is inversely proportional to the number of turns so 0.56 A is the current in the secondary coil.

learn more about transformers-

https://brainly.com/question/26991007

#SPJ4

Answer:

Leaders are made but ultimately both can be true.

Explanation:

Recent scientific studies suggest that leadership is 30% genetic and 70% learned. These findings propose that leaders are made not born. Ultimately, the answer is that both are true: a person can be born with natural leadership abilities, and someone can learn how to be a good leader at work. Leadership is a set of skills that can be learned by training, perception, practice and experience over time. Leadership learning is lifetime activity. Good leaders seek out development opportunities that will help them learn new skills.

Answer:

Well it's the past which really impacts

Explanation:

Most of the time a leader is made, it's not definite that a person has characteristics of a leader since his/her childhood. It's the impact mostly which determines and the way your parents raised you or are you independent who can solve problems on his or her own. If you have seen the world and have learned lessons from your mistake it's easy for you to have leadership qualities because you know what are the risks of something or is something worth your time.

That's what I think

The time  taken for all of the particles to settle to the bottom of the container is 0.18 seconds.

The time of motion of an object is the time taken for the object to travel from its initial position to final position.

Mathematically, the formula for calculating the time of motion of an object is given by;

h = vt + ¹/₂gt²

where;

For, this given question, we have the following parameters;

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 0.15 / 9.8)

t = 0.18 s

Thus, we can conclude that, since the height of fall of the particle is small, it will take the particle short time to fall.

Learn more about time of motion here: https://brainly.com/question/2364404

#SPJ1

The true statement is that speed and average velocity are both positive.

The term speed has to do with the ratio of the distance that has been covered by a body with time. Now, we know that the distance is a scalar quantity, this implies that we do not take the direction to account anytime that we have to deal with the speed of a body. Thus the speed has been shown to be a scalar.

On the other hand the velocity of a body is the ratio of the displacement to the time taken by the object and the displacement is a vector quantity thus we have to take the direction account when looking at the velocity.

We know that the direction of the velocity changes as it moves round the circle. This implies that the velocity of the body changes and its positive. The speed is also positive.

Learn more about velocity:https://brainly.com/question/28738284

#SPJ1

Only surface waves and shear waves, which require a solid for propagation, are transverse waves. Solids also support longitudinal waves. Fluids like air and water can only support longitudinal waves.That's why people prefer to view sound waves transverse waves rather than longitudinal.

The cruising altitude of the plane of mass 40000 kg before its descent is 196 m

U = m g h

U = Gravitational potential energy

m = Mass

g = Acceleration due to gravity

h = Vertical height

U = 78400000 J

m = 40000 kg

g = 10 m / s²

h = U / m g

h = 78400000 / 40000 * 10

h = 196 m

Gravitational potential energy is a type of energy related to gravity. It is energy acquired by an object due to its change in position in the presence of gravitational field.

Therefore, the cruising altitude of the plane before its descent is 196 m

To know more about Gravitational potential energy

https://brainly.com/question/15978356

#SPJ1

Answer:

I think it would be multiplied or added.

(a) The ball cleared the crossbar by 10.23 m.

(b) The ball approaches the crossbar while falling.

The maximum height reached by the ball is calculated by applying the following kinematic equation as shown below;

H = u² sin²θ / 2g

where;

H = (20.2² x (sin 53)²) / (2 x 9.8)

H = 13.28 m

ΔH = 13.28 m - 3.05 m = 10.23 m

The horizontal distance travelled by the ball is calculated as follows;

R = u² sin(2θ) / g

R = (20.2² sin(2 x 53) ) / (9.8)

R = 40 m

Thus, the ball cleared the crossbar and since the maximum height travelled by the ball is far greater than the height of the crossbar, the ball will approach the crossbar while falling.

Learn more about maximum height here: https://brainly.com/question/12446886

#SPJ1

Because momentum will be conserved, their common speed after impact will be 5 m/s

The third Newton's law of motion states that in any action, there will be equal and opposite reaction.

Given that a toy train with a mass of 2 kg moving at 10 m/s collides with a 2-kg toy train that is stationary. If the two trains move together after the collision, their speed V after impact can be calculated through the formula

M1U1 + M2U2 = (M1 + M2)V

The given parameters are

Substitute all the parameters into the formula

2 × 10 + 2 × 0 = (2 + 2)V

20 = 4V

V = 20/4

V = 5 m/s

Therefore, their speed after impact is 5 m/s

Learn more about Collision here: https://brainly.com/question/7694106

#SPJ1

C. doing bicep curls.

Explanation:

why? A. is considered thermal energy.

B. is considered solar energy to chemical energy.

When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.

what is vector?

A quantity or phenom with independent property for the both magnitude and direction is called a vector. The term may also refer to a quantity's mathematical or geometrical representation. Velocity, electromagnetic fields, and weight are just a few examples of vectors in nature.

0 is the intersection of line A1 and -A1.

Both the matrices A1 and A2 have the same magnitude, which itself is A

|A1| = A , |A2| = A

the result of A1 and A2 is 3 A

Hence, 3 A = (A2 + A2 + 2A2 cos x)

3A2 = 2A2 + 2A2 cos x

=> 1/2 = cos x

x = 60°

A1 and A2 are at an angle of 60 °.

Now, we must find the product of A1 and -A1. These vectors create a 180° angle.

the product of A1 and -A1 is (A2 + A2 + 2A2 cos 180°

=> √(2A²-2A²)

=> 0

When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.

To know more about vector visit:-

https://brainly.com/question/13322477

#SPJ10

Kinetic energy of each of the following objects compared like K₃ = K₂ > K₁  or   K₃ = K₂ = K₁.

Kinetic energy of an object of mass, m and speed, v is

K = 1/2 mv²

(1) Given, m = 2kg,  v = 2.5m/s

So, K = 1/2 mv²

K₁ = 1/2 × 2×(2.5)²

K₁ = 6.25 J

(2) Given, m = 1kg,  v = 5m/s

K = 1/2 mv²

K₂  = 1/2 × 1×(5)²

K₂ = 12.5 J

(3) Given, m = 1kg,  Vx = 3m/s,  Vy= 4m/s

v = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]

v = 5m/s

K = 1/2 mv²

K₃ = 1/2 × 1×(5)²

K₃ = 12.5 J

Hence, K₃ = K₂ > K₁ or K₃ = K₂ = K₁ .

Kinetic energy is the type of energy which is due motion of an object. Kinetic energy is the product of half of mass and velocity square. Its unit Joule and is represented by J.

Learn more about Kinetic energy here:- https://brainly.com/question/25959744

#SPJ1

Answer:

answer= lithium

Explanation:

electronic configuration

The threshold frequency for this metal is, based on its photoelectric effect, [tex]2.11x10^{15} Hz[/tex].

The threshold frequency of the metal is the frequency of electromagnetic radiation that would cause its kinetic energy to be equal to 0. Using the photoelectric effect, the threshold energy can be calculated from the difference between the photon energy invested and the electron's kinetic energy, because the excess energy invested is transformed into kinetic energy. With that in mind, the energy of the photon is:

E = hc/λ = hν
where h is Planck's constant, c is the speed of light, λ is the wavelength of the photon and ν is the frequency of the photon.

[tex]E = 6.626x10^{-34}Js * 3x10^{8}m/s / 75.9x10^{-9}m = 2.62x10^{-18} J[/tex]

Because 1 eV is equal to [tex]1.602x10^{-19}[/tex] J, the kinetic energy of the electron is:

[tex]7.60 x 1.602x10^{-19}J = 12.1752x10^{-19}J = 1.22x10^{-18} J[/tex]

The threshold energy is:

[tex]2.62x10^{-18}J-1.22x10^{-18}J = 1.40x10^{-18}J[/tex]

Now, because E = hν, then ν = E/h, so the threshold frequency will be:

[tex]1.40x10^{-18} J/6.626x10^{-34}Js = 2.11x10^{15}Hz[/tex]

You can learn more about the photoelectric effect here:
brainly.com/question/9260704

#SPJ4

"The direction of the current."

A solenoid's north and south poles are determined by two variables. two factors: the winding direction and the direction in which the stream flows (clockwise or counter-clockwise). The positive pole of the power source (such as a battery) should be determined first, followed by the end of the solenoid that will be connected to it.

Now, determine which way the winding is going by peering down the solenoid tube. The south pole is present if the positive wire is rotated clockwise, and the north pole is present if it is rotated counterclockwise. In conclusion, the magnetic south pole is always in reference to the positive wire clockwise.

The magnet's poles will be created as a result of current flowing through the solenoid, and the clock face rule in a solenoid is used to predict their positions. According to the rule, the south pole will be formed if you gaze through a solenoid at a location where the current runs in a clockwise direction. On the other hand, the north pole will be visible if viewed from the side where the current is flowing counterclockwise.

To know more about solenoid, click on the link below:

https://brainly.com/question/25484149

#SPJ9

The resultant speed of the person on the cruise ship is 12.62 m/s.

The resultant speed of an object is the single speed which can effectively represent two or more speed of the object.

The magnitude of the resultant speed of the person on a cruise ship is calculated as follows;

Vr² = Va² + Vb²

where;

Substitute the value of the north speed and east speed to determine the resultant speed of the person on the ship.

Vr  =  √Va² + Vb²

Vr = √[(3.9 m/s)² + (12 m/s)² ]

Vr = 12.62 m/s

Thus, for a person on a cruise ship is doing laps on the promenade deck at a speed of 3.9 m/s to the north and the speed of the ship 12 m/s to the east, the resultant speed is 12.62 m/s.

Learn more about resultant speed here: https://brainly.com/question/25239010

#SPJ1

The complete question is below:

person on a cruise ship is doing laps on the promenade deck. On one portion of the track the person is moving north with a speed of 3.9 ms relative to the ship. The ship moves east with a speed of 12 ms relative to the water. Find the resultant speed of the person

The push magnitude and the tension of the cord is 5.4 × 10^-4

What is cord ?

cord is the slender flexible material usually consisting of several stands or twisted together.

It is wired coverd in rubber or plastic which connects electrical equipment to an electricity supply.

The free body diagram as per the question with the tension of string T .

The force of gravity ~mg

The force of air ~f

Since the sphere is motionless the net force on it is 0.

And the x and y are the components of the equation are zero

Tsin + 0 = F

Tcos - mg= 0

Where ¥ = 32°

Thus we get

T= (3.9×10^-4 kg ) (9.8m/s^2)/cos32°

= 2.1×3.2×10^-4

Solving T

We can get the F =

(3.2×10^-4)sin 32° =

5.4 ×10^-4

To know more about cord click

https://brainly.com/question/1338130

#SPJ9

It is a multistep plan or strategy that allows you to achieve your goals.

1.

The total displacement change from s=+2cm to −5cm, then to +12cm is + 7 cm

Displacement = Final position - Initial position

Final position = + 2 - 5 + 12 cm = + 9 cm

Initial position = + 2 cm

Displacement = ( + 9 ) - ( + 2 )

Displacement = + 7 cm

Displacement is the instantaneous distance between initial and final position. It is a vector quantity. So adding a sign is necessary for displacement.

Therefore, the total displacement change is + 7 cm

To know more about displacement

https://brainly.com/question/28609499

#SPJ1