A farmer is attempting to take a chicken across a river in a motorboat while a fox waits on shore with a bag of grain. If the river has a current with a velocity of 2.0 m/s and the boat maintains a speed relative to the water of 4.5 m/s, in which direction (angle) should the farmer point the boat so that the boat follows a straight path directly across the river?

Answers

Answer 1

Answer:

The farmer should go approximately 26.39° relative to the direction of and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river

Explanation:

The given parameters are;

The river current velocity = 2.0 m/s

The boat speed relative to the water = 4.5 m/s

Therefore, for the boat to have a resultant velocity that will follow a straight path directly across the river, we have;

The water current velocity, 2 m/s, the relative speed of the boat, 4.5 m/s, and the resultant velocity, v, form a right triangle, with the water current being the base, and the boat's relative speed being the hypotenuse side, while the height is the resultant velocity

Therefore, we have;

The direction of the boat relative to the direction of current the river = θ

The relative speed of the boat × sin(θ°) = The river current velocity

∴ sin(θ°) = The river current velocity/(The relative speed of the boat)

Which gives;

sin(θ°) = 2 m/s/(4.5 m/s) = 2/4.5 = 4/9

θ = sin⁻¹ = sin⁻¹(4/9) ≈ 26.39°

Therefore, the farmer should go approximately 26.39° relative to the direction of  and toward the river current velocity or approximate 90 - 26.39 which is 63.12° clockwise from the perpendicular direction across the river.


Related Questions

How long should a spring be stretched for it to store 45 J of energy? The force constant of the spring is
540N/m?

Answers

Answer:

x = 0.4 m

Explanation:

When a spring is stretched from its equilibrium position. Some energy is stored in the spring. This energy is called the elastic potential energy of the spring. The formula used to calculate the magnitude of this stored energy is given as follows:

P.E = (1/2)kx²

where,

P.E = Elastic Potential Energy Stored in the spring = 45 J

k = Spring Constant = 540 N/m

x = amount of stretching = ?

Therefore,

45 J = (1/2)(540 N/m)x²

x² = (45 J)(2)/(540 N/m)

x = √(0.167 m²)

x = 0.4 m

if a object falls from 5 meters how long did it take for it to reach the ground explain(gravity= -10)

Answers

Idkgfjfjfjriurugucufududu

Explanation:

[tex]time \: period = \sqrt{ \frac{2h}{g} } = \sqrt{ \frac{10}{10} } = 1sec[/tex]

In the lab, you looked at speed-time graphs to determine the acceleration of the cart for each of the three fan
speeds.
What was the acceleration of the cart with Low fan speed?
cm/s2
What was the acceleration of the cart with Medium fan speed? cm/s2
What was the acceleration of the cart with High fan speed?
cm/s2

Answers

Answer:

(I).  The acceleration of the cart with low fan speed is 18 cm/s²

(II). The acceleration of the cart with medium fan speed is 23.3 cm/s²

(III).  The acceleration of the cart with high fan speed is 32 cm/s²

Explanation:

Given that,

You looked at speed-time graphs to determine the acceleration of the cart for each of the three fan  speeds in the lab.

According to graph,

A , B and shows the high, medium and low fan speeds respectively.

We know that,

The speed-time graph shows the acceleration.

Acceleration is equal to the rate of change of velocity.

(I). We need to calculate the acceleration of the cart with low fan speed

Using formula of acceleration

[tex]a_{l}=\dfrac{v_{f}-v_{i}}{t_{f}-t_{i}}[/tex]

Put the value from graph

[tex]a_{l}=\dfrac{125-0}{7}[/tex]

[tex]a_{l}=18\ cm/s^2[/tex]

(II). We need to calculate the acceleration of the cart with medium fan speed

Using formula of acceleration

[tex]a_{m}=\dfrac{v_{f}-v_{i}}{t_{f}-t_{i}}[/tex]

Put the value from graph

[tex]a_{m}=\dfrac{140-0}{6}[/tex]

[tex]a_{m}=23.3\ cm/s^2[/tex]

(III). We need to calculate the acceleration of the cart with high fan speed

Using formula of acceleration

[tex]a_{h}=\dfrac{v_{f}-v_{i}}{t_{f}-t_{i}}[/tex]

Put the value from graph

[tex]a_{h}=\dfrac{160-0}{5}[/tex]

[tex]a_{h}=32\ cm/s^2[/tex]

Hence, (I).  The acceleration of the cart with low fan speed is 18 cm/s²

(II). The acceleration of the cart with medium fan speed is 23.3 cm/s²

(III).  The acceleration of the cart with high fan speed is 32 cm/s²

Answer:

18.0, 24.0, 32.0

Explanation:

just did it

a car is driving at 57 mi/hr, how long will it take for the car to go 80 mile

Answers

Answer:

1 hour 6 minutes and about 6 seconds

An object moves along the x-axis. The graph shows its position x as a function of time t. Find the average velocity of the object from points B to C. −8.3 m/s −4.2 m/s 0 m/s −0.12 m/s

Answers

Answer:

-8.3m/s

Explanation:

its correct

Answer: its 0.

Explanation: Gradpoint

what's the meaning of phisikos​

Answers

A word-forming element meaning "physical, physically; natural," from Latinized form of Greek physikos "natural, physical, pertaining to nature."

When the mass of an object decreases, the force of gravity - Remains Unchanged - Decreases - increases - Becomes irregular

Answers

Answer:

Decreases

Explanation More mass=More gravitational pull

Less mass=Less gravitational pull

Hope this helps

Answer:

decreses

Explanation:

A 0,34-kg volleyball is flying west at 1,98 m/s when it strikes a stationary 0,60-kg basketball dead centre. The volleyball rebounds east at 0,79 m/s. What will be the velocity of the basketball immediately after impact? Choose the east direction as positive.

Answers

Explanation:

use the law of conservation of momentum

M1U1+M2U2=M1V1+M2V2

m-mass

u-initial velocity

v-final velocity

1-volleyball

2-basket ball dead center

so using the above formula

0.34×1.98+0.64×0=0.34×0.79+0.64×V2

to get

0.6732+0 = 0.2686+0.64V2

0.4046=0.64V2

divide both sides by 0.64 to get V2 which is the final velocity of basketball

0.6322m/s=V2

The final velocity of the basketball after the impact is 1.643 m/s west.

The given parameters;

mass of the volleyball, m = 0.34 kginitial velocity of the volleyball, u₁ = 1.98 m/smass of the stationary basketball, m₂ = 0.6 kgfinal velocity of the volleyball, v₁ = 0.79 m/s

The final velocity of the basketball after the impact is calculated by applying the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂  =  m₁v₁   +  m₂v₂

0.34(-1.98) + 0.6(0) = 0.79(0.34) + 0.6(v₂)

-0.673 = 0.316 + 0.6v₂

-0.989 = 0.6v₂

[tex]v_2 = \frac{- 0.989}{0.6} \\\\v_2 = -1.643 \ m/s\\\\v_2 = 1.643 \ m/s \ west[/tex]

Thus, the final velocity of the basketball after the impact is 1.643 m/s west.

Learn more here:https://brainly.com/question/24424291

Which is a limitation of using cellulose?
its lack of mass production
its lack of biodegradability
3
its harm to landfills
O its high cost to recycle

Answers

Answer:

Its lack of mass production

Explanation:

Your Welcome;)

The limitation of using cellulose is its lack of mass production.

Cellulose is a polymer of glucose. It is obtained from glucose by condensation polymerization to yield a long chain.

Cellulose materials have a high potential of being quite useful as important materials for diverse applications.

However, the problem with cellulose materials is that they can not really be mass produced. This limitation has long encumbered the possibility of using cellulose materials for various applications in material science.

Learn more: https://brainly.com/question/961761

hey can anyone help me out in dis pls

Answers

Answer:

All of the above

Explanation:

Solids have a fixed shape and volume.

Even though the molecules in a solid are vibrating, they can't travel from one part of the solid to the other.

I hope this helps! :)

Which ball has the greater acceleration at the instant of release?
Ball thrown upward or downward

Answers

They're equal.

Ignoring air resistance, any object you're not holding onto has the same, constant acceleration ... 9.8 m/s^2 down ... from the moment it leaves your hand until the moment it hits the ground.

It doesn't matter how heavy the object is, and it doesn't matter whether you throw it up, down, or sideways, or just let go and let it drop.

3. The value of frictional force on block in the given
diagram is (Take g = 10 m/s2)
5N
m = 3 kg
8.
u = 0.3
(1) 4N
(2) 5 N
(3) 6 N.
(4) 9 N​

Answers

I need help with my homework it’s due tomorrow and I feel like I failed can u help me bro

Use the picture to answer the question. Name at least three physical properties of the bowling ball. ​

Answers

Answer:

Density, Color, and Luster.

Explanation:

Density, describes how compact the matter is in a substance. A bowling ball is more dense than a beach ball. Color - Describes how light reflects off a substance. Luster - Describes how shiny a substance is.

Answer:

The physical properties is hardness shape and color, I choose hardness because I have grabbed bowling balls before and they are very hard well there could be different types of bowling balls made of different things but I have never seen one or toughed a bowling ball that is not hard. Another physical property  I chose for the bowling ball was shape, The reason I chose shape was because the bowling ball is circle, the actual name for a 3-D circle is sphere. The last physical property for a bowling ball is color because mostly all bowling balls have color for example the one in the picture it is red with a little bit of pink, there is many different bowling balls that have different color different hardness but NOT different  shape. That is the physical properties of a bowling ball.

Explanation:

:)

Evidence of a chemical change includes
A) change in size.
B) change in color.
C) change in shape.
Eliminate
D) change in weight.

Answers

Evidence of a chemical change includes

change in color


Sarah throws a ball directly upward at the edge of a cliff with a starting velocity of 3.0 m/s
It lands on the ground with a final speed of 6.0 m/s
How long is the ball in the air?
Round the answer to two significant digits

Answers

Answer:

The correct answer is t = 0.92s

Explanation:

Initial velocity v​0 = 3.0 m/s

Displacement Δy = ?

Acceleration a = -9.8m/s2

Final velocity v = -6.0m/s

Time t=? Target unknown

We can use the kinematic formula missing Δy to solve for the target unknown t:

V=v0+at

We can rearrange the equation to solve to t:

V-v0=at

t= v-v0/a

Substituting the known value into the kinematic formula gives:

t= (-6.0m/s)-(3.0m/s)

————————————

-9.8m/s2

= -9m/s

—————-

-9.8m/s2

=0.92s

Sarah throws a ball directly upward at the edge of a cliff with a starting velocity of 3.0 m/s.  It lands on the ground with a final speed of 6.0 m/s.

How long is the ball in the air?

Answer: 0.92

A 2 kg ball is dropped from the roof of a building 27.5 m tall. How long
does it take to hit the ground?

Answers

Answer:

wow I need time to solve dis

A drunk college student decides to try to do a perfect swan dive from his apartment window into the pool below. The edge of the pool is 5 meters from the base of the building and his window is on the 3rd floor, which is 8 meters from the ground. If he jumps out the window horizontally at a speed of 4 m/s, does he make it into the water or..

Answers

Answer:

He barely makes it but hit his leg on the pool edge.

Explanation:

Using kinematic formula: Δx=[tex]v_{0}t+(1/2)at^2[/tex]

We can plug in delta x, v zero, and acceleration.

delta x = 8 meters, v0 = 0. a = 9.8

8=(1/2)9.8*t^2

Around 1.278 seconds of airtime.

4 * 1.278 = 5.112 meters horizontally assuming no air resistance

That was close!

Help me I need this now

Answers

Answer:

If the height of the ramp is changed at a different height then the  speed of the car will change.

differenciate between emf and potential difference ​

Answers

Answer: 1.Emf is the total voltage in the battery while the potential difference is the work done in moving a charge against the electric field between two specific points in the circuit. 2.Emf is always greater than the potential difference.

Explanation:

To me (electrical engineer since 1973), there is no difference. They are two different names for the same thing.

Erica forgot to put gas in her car (again) for two weeks. The graph below shows the last few seconds of her car being stalled along Elkins Drive st 7:23 am Friday. During the time shown, what was the acceleration of her car?
a 54 m
b 108 m/s
c 3 m/s^2
D -3 m/s^2

Answers

Answer:

Option (D) : - 3 m/s^2

Explanation:

Acceleration = Slope of v-t graph

= 18/6

= - 3 m/s^2 (-ive since the car is decelerating )

A kettle of water is heated on a stove. What will happen to the molecules of the water in the kettle as the kettle continues to be heated by the flame?

Answers

Answer:

The molecules will take the heat energy and convert it to mechanical energy and they get "excited" and eventually their bonds will break and they will turn into water vapor.

1. How many energy levels do the electrons in an atom of iron occupy?​

Answers

Electrons in atoms occupy energy levels, also called electron shells, outside the nucleus. Different shells can hold different maximum numbers of electrons. The electrons in an atom occupy the lowest available energy level first.on:

Answer:

26. Brainliest?

Explanation:

Iron atoms have 26 electrons and the shell structure is 2.8.

How to keep your community clean

Answers

Answer:

Work with the local civic groups to identify and eliminate eyesores, and beautify the local environment

Pick up a piece of litter every day

Keep a litter bag in your car or your recreational vehicle so you dispose of litter properly

Create a trash fishing contest in your waterway to increase awareness about illegal dumping and littering

Write a letter to the editor of your local newspaper asking others to respect public lands and keep them clean

Help your local schools conduct recycling drives and clean-up projects

Create a beautiful green space by planting trees and shrubs in an area in need of improvement.

Ask local businesses to adopt-a-spot and take care of it

Paint and fix up playground equipment

Organize a paint-out with family and friends and create a community paintbrush mural over a wall of illegal graffiti

Recycle your old tires

Report graffiti to your local authorities

Donate your old computer equipment or dispose of it properly

Conduct a recycling drive in your neighborhood or your business

Volunteer to help your employer conduct paper recycling drives at work

Donate gently used clothes to needy organizations and shelters and identify other items that you can reuse

Compost yard and food waste and seek advice if you don’t know how

Find out how pollution in storm drain runoff can impact our aquifers and ecosystems and be passionate about doing your part to reduce litter and solid waste

Ask your local government officials to establish regular community improvement activities and to support and promote volunteer efforts

Help your library establish an environmental corner that offers books and other educational materials about taking care of the Earth

Martin Luther King, Jr., was awarded the Noble Peace Prize * Yes No

Answers

martin luther jr was awarded the nobel peace prize

Answer

Explanation:

duh he was fighting for peace half of his life

A student clicks the mouse at time intervals of 1.60, 2.10, 2.40, 1.90 what is the standard deviation of this dataset.
A. 0.22
B. 0.25
C. 0.29
D. 0.58

Answers

i hope this helps you
and stay safe

After you let go of a bowling ball, is there a force pushing it so that it keeps moving
forward? Explain.

Answers

Explanation:

No, the ball keeps moving forward due its momentum.

A net force causes an object to accelerate, which means it speeds up, slows down, or changes direction.  A bowling ball does not speed up after you let go, so there is no forward force.

A plane takes off at an angle of 30 degrees at a speed of 150 km/h. Determine the horizontal
and vertical components of this velocity vector.

Answers

Answer:

Horizontal Component = 129.9 km/h

Vertical Component = 75 km/h

Explanation:

When a vector is resolved on the x-axis and the y-axis, the components so formed are called its rectangular components. The component along y-axis is called the vertical component and the component along x-axis is called horizontal component. These components can be given by following formulae:

Horizontal Component = v Cos θ

Vertical Component = v Sin θ

where,

v = velocity = 150 km/h

θ =  angle = 30°

Therefore,

Horizontal Component = (150 km/h)(Cos 30°)

Horizontal Component = 129.9 km/h

Vertical Component = (150 km/h)(Sin 30°)

Vertical Component = 75 km/h

The time period of a wave T is the the time taken to produce one complete wave. If the frequency of a wave is 2 Hz, what is it’s time period?

Answers

Answer:

0.5s

Explanation:

if the frequency is 2Hz that means it makes 2 complet cycles in one second. The time period for one cycle would be 0.5s

which sI units are combined to describe force?

Answers

Answer:

Symbol N

Explanation:

The SI unit of force is the newton, symbol N

The units of mass, length, and time are.

The combination is the unit of force, called the "Newton".

1 Newton is the force that accelerates 1 kilogram of mass at the rate of 1 meter per second every second.

A truck covered 2/7 of a journey at an average speed of 40
mph. Then, it covered the remaining 200 miles at another
average speed. If the average for the whole journey was 35
mph, what was the amount of time for the whole journey?
h

Answers

Answer:8h

Explanation:

Answer: 8 h

Explanation:

I got it right

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