Two students, each riding bicycles, start from the same apartment building and ride to the same building on campus, but each takes a different route. The first student rides 1300 m due east and then turns due north and travels another 1430 m before arriving at the destination. The second student heads due north for 1930 m and then turns and heads directly toward the destination.
(a) At the turning point, how far is the second student from the destination? ....m
(b) During the last leg of the trip, what direction (measured relative to due east) must the second student head? (Give your answer as a positive number from 0 to 180 degrees, either north or south of due east.) .... degrees south of east

Answers

Answer 1

Answer:

a) d= 1393 m

b) θ= 21º S of E.

Explanation:

a)

Since the second student goes due north, and the first student goes due east along 1300m till he turns directly northward, we conclude that when the second student turns, he is at 1300m west from the destination.Since he rode 1930 m due north, we can conclude also that the second student is 500 m past the destination in the north direction.So we can find the distance from the destination at the turning point, using the Pythagorean Theorem, taking the right triangle defined by the 1300 m  segment due east, the 500 m segment due south, and which hypotenuse is the distance straight to the destination, as follows:

       [tex]d = \sqrt{(1300m)^{2} + (500m)^{2} } = 1393 m (1)[/tex]

b)

Taking the same right triangle than in (a), we can find the angle that makes the vector along the direction taken by the second student with the due east, applying the definition of tangent of an angle, as follows:

       [tex]tg \theta = \frac{500m}{1300m} = 0.385 (2)[/tex]

       ⇒ θ= tg⁻¹ (0.385) = 21º S of E.


Related Questions

An 80-kg firefighter slides down a fire pole. After 1.3 seconds of sliding, the firefighter is sliding at a velocity of 6.5 m/s, straight down the pole. Once this velocity is reached, the firefighter grips the pole so that the force of friction exerted by the firefighter's hands on the pole is equal to the force of gravity. At this point what is the downward acceleration of the firefighter

Answers

Answer:

a= 0

Explanation:

In the vertical direction, if the friction force (directed upward) is equal to the force of gravity (downward) this means that no net force is acting on the firefighter.According to Newton's 2nd Law, if no net force is present, the acceleration in this direction is just zero, as follows:

       [tex]F_{net} = m*a = 0 (1)[/tex]

      ⇒ a = 0

What Is a Sound Wave? Learning Goal: To understand the nature of a sound wave, including its properties: frequency wavelength, loudness, pitch, and timbre. Sound is a phenomenon that we experience constantly in our everyday life. Therefore, it is important to understand the physical nature of a sound wave and its properties to correct common misconceptions about sound propagation Most generally, a sound wave is a longitudinal wave that propagates in a medium (ie, air) The particles in the medium oscillate back and forth along the direction of motion of the wave. This displacement of the particles generates a sequence of compressions and rarefactions of the medium Thus, a sound wave can also be described in terms of pressure variations that travel through the medium. The pressure fluctuates at the same frequency with which the particles positions oscillate When the human ear perceives sound. It recognizes a series of pressure fluctuations rather than displacements of individual air particles. Part 1 Figure 1 of 2 > Fi MA length Part A Based on the information presented in the introduction of this problem, what is a sound wave? Propagation of sound particles that are offerent from the particles that comprise the medium Propagation of energy that does not require a medium Propagation of pressure fluctuations in a medium Propagation of energy that passes through empty spaces between the partides that com Submit Request Anst Part B Complete previous parts) Part hall to the other? Does air play a role in the propagation View Available Hints) SUITE Part D The graphs shown in (Figure 1) represent pressure variation versus time recorded by Enter the letters of all the correct answers in alphabetical order.

Answers

Answer:

A)  Propagation of pressure fluctuations in a medium

B) air is the medium in which the wave is transported,

Explanation:

Part A.

A sound wave is a longitudinal oscillation of the molecules that forms in a material medium, they can be solid, liquid or gases, therefore the wave propagates in the same direction as the oscillation of the particles.

The most correct answer is:

* Propagation of pressure fluctuations in a medium

Part b

air is the medium in which the wave is transported, otherwise it cannot propagate

A car of mass 150 kg is riding down at constant velocity. What is the normal force?

The formula is ( Fg=mg ; Fnet =ma ; Fx = Fcos theta ; Fy = Fsin theta)





Answer and I will give you brainiliest

Answers

Answer:

1500N

Explanation:

Normal force = mg - F sin theta

constant velocity means acceleration = 0

F= ma = 150× 0 = 0N

thus;

normal force = mg = 150 × 10 = 1500N

Answer:

864N

Explanation:

What happens to the force attraction of the distance two objects is increased?

Answers

Answer:

Explanation:

The attraction weakens. Two objects that are farther apart are not drawn together as strongly as if they were close together.

You have three objects of varying shapes and sizes: Object 1 is a rectangular block of tin. Object 2 is a cube of aluminum. Object 3 is a sphere of copper.
a. the density of tin is 5.75g/cm2. What is the mass of object 1 in kg if the rectangular block has a volume of 1.34L?
b. what is the volume in cubic inches of object 2 if the cube of aluminum 7.58 inches on a side?
c. what is the mass in kg of object 2? the density of aluminum is 2.70g/cm3
d. what is the volume in cm3 of object 3 if the sphere of copper has a diameter 8.62cm? the volume of the sphere is 4 {pi}^3/3
e. what is the mass in kg of object 3? Copper has a density of 8.96g/cm3

Answers

Answer: a. m = 7.7 kg

              b. V = 435.52 in³

              c. m = 1927 kg

              d. V = 335.37 cm³

              e. m = 3 kg

Explanation: Density is the ratio of mass per volume, i.e., it's the measure of an object's compactness. Its representation is the greek letter ρ.

The formula for density is

[tex]\rho=\frac{m}{V}[/tex]

Density's unit in SI is kg/m³, but it can assume lots of other units.

Some unit transformations necessary for the resolution of the question:

1 L = 1 dm³ = 1000 cm³

1 in³ = 16.3871 cm³

1 g = 0.001 kg

a. V = 1.34 L = 1340 cm³

[tex]\rho=\frac{m}{V}[/tex]

[tex]m=\rho.V[/tex]

m = 5.75 * 1340

m = 7705 g => 7.705 kg

Mass of object 1 with volume 1.34L is 7.7 kg.

b. A cube's volume is calculated as V = side³

V = 7.58³

V = 435.52 in³

Volume of object 2 is 435.52 in³.

c. Using 1 in³ = 16.3871 cm³ to change units:

V = 435.52 * 16.3871

V = 713689.4 cm³

Then, mass will be

[tex]m=\rho.V[/tex]

m = 2.7 * 713689.4

m = 1926961.4 g => 1927 kg

Mass of object 2 is 1927 kg.

d. Volume of a sphere is calculated as [tex]V=\frac{4}{3}.\pi.r^{3}[/tex]

Diameter is twice the radius, then r = 4.31 cm.

Volume is

[tex]V=\frac{4}{3}.\pi.(4.31)^{3}[/tex]

V = 335.37 cm³

Volume of object 3 is 335.37 cm³.

e. [tex]m=\rho.V[/tex]

m = 8.96 * 335.37

m = 3004.91 g => 3 kg

Mass of object 3 is 3 kg.

please help
What variables have the most effect on the strength of the gravitational attraction between two
massive objects?

Answers

Answer:

Newton's law also states that the strength of gravity between any two objects depends on two factors: the masses of the objects and the distance between them. Objects with greater mass have a stronger force of gravity between them.

The gravitational force depends upon two variables the mass of the objects and the distance between them.

What is gravitational force?

In the universe, each body attracts another body towards itself is called Gravitational Force. Thus, gravitation is the study of the interaction forces between two masses.

Newton’s law of gravitation can be defined as every system of matter in the universe attracts every other system with a definite force. The magnitude of this force has a direct relationship with the masses of the systems.

[tex]F \propto M_1M_2[/tex]

The magnitude of this force has an inverse relation with the square of the distance.

[tex]F \propto 1/r^2[/tex]

Therefore, the gravitational attraction between two bodies can be represented as:

[tex]\displaystyle F = G\frac{ M_1M_2}{r^2}[/tex]

The mass of the physical system is directly proportional to the gravitational attraction therefore when the mass increases then the gravitational force will increase.

Learn more about gravitational force, here:

brainly.com/question/12528243

#SPJ2

Nikki was walking around a department store shopping one day, and did not realize that the shirt she was wearing looked just like the shirts worn by employees. When a stranger asked, "do you work here," she thought it was funny. The other customers' assumption that Nikki was a store employee demonstrates the Gestalt principle of _______.

Answers

Answer: Similarity

By.

Which one of the following statements is true concerning the magnitude of the electric field at a point in space? It is a measure of the electric force on any charged object. It is a measure of the ratio of the charge on an object to its mass. It is a measure of the electric force per unit mass on a test charge. It is a measure of the electric force per unit charge on a test charge. It is a measure of the total charge on the object.

Answers

Answer:

It is a measure of the electric force per unit charge on a test charge.

Explanation:

The magnitude of the electric field is defined as the force per charge on the test charge.

Since we define electric field as the force per charge, it will have the units of  force divided by the unit of charge. This implies that the SI unit of electric field is given as Newton/Coulomb (N/C).

Because from the definition of the electric field intensity, it can be defined as force per unit charge. The correct answer is option D

ELECTRIC FIELD

Electric field is the region of space where electric force can be felt. It can also be expressed as electric field intensity E. Mathematically, it can be expressed as;

E = F/q or E = V/d

From the question, the statements that is true concerning the magnitude of the electric field at a point in space is " It is a measure of the electric force per unit charge on a test charge "

Because from the definition of the electric field intensity, is can be defined as force per unit charge.

Therefore, option D is the right answer.

Learn more about Electric Field here : https://brainly.com/question/14372859

Describe Kinetic Energy and Potential Energy (in your own words please!!)

Answers

Answer:

Energy stored in an object due to its position is Potential Energy. · Energy that a moving object has due to its motion is Kinetic Energy.

Explanation:

I need help please will mark brainliest

Answers

Answer:

c

Explanation:

You are given three pieces of wire that have different shapes (dimensions). You connect each piece of wire separately to a battery. The first piece has a length L and cross-sectional area A. The second is twice as long as the first, but has the same thickness. The third is the same length as the first, but has twice the cross-sectional area. Rank the wires in order of which carries the most current (has the lowest resistance) when connected to batteries with the same voltage difference.

Rank the wires from most current (least resistance) to least current (most resistance).
a. Wire of Lenght L and area A
b. Wire of Lenght 2L and area A
c. Wire of Lenght L and area 2A

Answers

Answer:

The answer is below

Explanation:

The resistance of a wire is directly proportional to the length of the wire and inversely proportional to its area. The resistance (R) is given by:

[tex]R=\frac{\rho L}{A}\\\\where\ L=length \ of\ wire,A=cross\ sectional\ area, \rho=resistivity\ of\ wire.[/tex]

Let us assume that all the wires have the same resistivity.

a) Wire of Length L and area A

[tex]R_1=\frac{\rho L}{A}[/tex]

b) Wire of Length 2L and area A

[tex]R_2=\frac{\rho *2L}{A}=2R_1[/tex]

C) Wire of Length L and area 2A

[tex]R_3=\frac{\rho L}{2A}=\frac{1}{2}R_1[/tex]

Therefore the wire of least resistance is R3 and R2 has the highest resistivity.

R₃ < R₁ < R₂

Therefore, the ranking of the wires from most current (least resistance) to least current (most resistance) is:

R₃ < R₁ < R₂

Lolliguncula brevis squid use a form of jet propulsion to swim—they eject water out of jets that can point in different directions, allowing them to change direction quickly. When swimming at a speed of 0.15m/s0.15m/s or greater, they can accelerate at 1.2m/s21.2m/s 2 .
(a) Determine the time interval needed for a squid to increase its speed from 0.15m/s0.15m/s to 0.45m/s0.45m/s.
(b) What other questions can you answer using the data?

Answers

Answer:

a) t = 0.25 s,  b)  x = 0.075 m

Explanation:

a) For this exercise we will use kinematic relationships in one dimension

         v = v₀ + a t

in the problem they indicate the initial velocity v₀ = 0.15 m / s, the final velocity v = 0.45 m / s and the acceleration of the squid a = 1.2 m / s²

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

       

we calculate

         t = [tex]\frac{0.45 - 0.15}{1.2}[/tex]

         t = 0.25 s

b) We can also find the distance traveled during this acceleration

         v² = v₀² + 2a x

         x = [tex]\frac{v^2 -v_o^2 }{2a}[/tex]

let's calculate

         x = [tex]\frac{0.45^2 - 0.15^2 }{2 \ 1.2}[/tex]

         x = 0.075 m

Anyone know this question?

Answers

C I think .............

The x-component and y-component of two vectors A & B are Ax = 9, Ay = 12,Bx =
15 & By = 20. Find:
/A+B/​

Answers

Answer:

40

Explanation:

Given the following

Ax = 9,

Ay = 12,

Bx = 15

By = 20

Get A and B

A = √9²+12²

A= √81+144

A = √225

A = 15

Get B;

B = √15²+20²

B = √225+400

B = √625

B = 25

get /A+B/

A+B = 15+25

/A+B/ = /40/

Hence the value of /A+B/ is 40

list 5 types of food that should be consumed daily in a healthy diet.Give an example of each type.


Answers

Answer:

vegetables and legumes or beans

fruit

lean meats and poultry, fish, eggs, tofu, nuts and seeds, legumes or beans

grain (cereal) foods, mostly wholegrain or high cereal fibre varieties

milk, yoghurt, cheese or alternatives, mostly reduced fat.

Explanation:

Foods are grouped together because they provide similar amounts of key nutrients. For example, key nutrients of the milk, yoghurt, cheese and alternatives group include calcium and protein, while the fruit group is a good source of vitamins, especially vitamin C.

The five food groups are:
vegetables and legumes or beans.
fruit.
lean meats and poultry, fish, eggs, tofu, nuts and seeds, legumes or beans.
grain (cereal) foods, mostly wholegrain or high cereal fibre varieties.
milk, yoghurt, cheese or alternatives, mostly reduced fat.

The range is the horizontal distance from the cannon when the pumpkin hits the ground. This distance is given by the product of the horizontal velocity (which is constant) and the amount of time the pumpkin is in the air (which is determined by the vertical component of the initial velocity, as you just discovered). Set the initial speed to 14 m/s, and fire the pumpkin several times while varying the angle between the cannon and the horizontal.

Required:
For which angle is the range a maximum (with the initial speed held constant)?

Answers

Answer:

Explanation:

For range o a projectile , the formula is as follows

R = u² sin2Ф / g where u is initial velocity of throw , Ф is angle of throw and g is acceleration due to gravity .

Here u = 14 m /s

R = 14² sin2Ф  / 9.8

R = 20 sin2Ф

Now R will have maximum value when sin2Ф has maximum value .

Maximum value of sin2Ф = 1

sin2Ф = 1  = sin 90°

Ф = 45°

So when throw is aimed at 45° , range will be maximum .

A hockey puck with mass 0.30 kg is sliding along the ice with initial speed of 12.68 m/s. A hockey player is heading toward the puck with his stick in hand. After the player strikes the puck, the puck reverses its direction and is traveling at double its speed before the strike. If the collision occurs in 0.05 s, what is the magnitude of the force the hockey player's stick applied to the puck

Answers

Answer:

F = 228.24 N

Explanation:

According Newton's 2nd Law, the impulse on one object is equal to the change in momentum of that object.I = F*Δt = Δp = pf - po (1)

       where pf = final momentum = m*vf

                  p₀ = initial momentum = m*v₀

Since after the strike, the puck reverses its direction and travels at double its speed before the strike, that means that vf = -2*v₀.Replacing in the right side of (1), we have:

       [tex]m*v_{f} - m*v_{o} = -2*v_{o} -m*v_{o} = -3*m*v_{o} = -3*0.3kg*12.68m/s = -11.41m/s (2)[/tex]

Replacing Δt = 0.05s, and solving for F in (1):

       [tex]F_{net} = \frac{-11.41m/s}{0.05s} = -228.24 N (3)[/tex]

which means that the force is applied in a direction opposite to the initial velocity of the puck.The magnitude of the force is just 228.24 N.

Where the air conditioner disconnecting means is not within sight from the equipment, the provision for locking or adding a lock to the disconnecting means shall be on the switch or circuit breaker and remain in place _____ the lock installed.

Answers

Answer:

With or without.

Explanation:

According to the National Electrical Code (NEC), here the air conditioner disconnecting means is not within sight from the equipment, the provision for locking or adding a lock to the disconnecting means shall be on the switch or circuit breaker and remain in place with or without the lock installed. Thus, this is in accordance with section 110.25 of the National Electrical Code (NEC).

dose contact or noncontact force weaken with distance

Answers

Answer:

The more massive an object is, the greater the gravitational force. Since gravitational force is inversely proportional to the distance between two interacting objects, more separation distance will result in weaker gravitational forces.

Explanation:

hope this help:)

Non-contact force is a force that can exert a push, or pull an object without actually having any physical contact with that object. This happens when force is applied on some object by another object without any interaction or contact between those two objects. In a non-contact force, the force is transmitted over distance. Some refer to these types of forces as “action-at-a-distance forces.” Examples of non-contact forces include magnetic, gravitational and electrostatic force.

kenneth ran a marathon (26.2 miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)

0.2 mph
4.8 mph
5.5 mph
144.1 mph

it is actually science i couldn't find the word science

Answers

Answer:

4.8mph

Explanation:

Speed= Distance/time

Speed= 26.2/5.5

= 4.76mph

( To the nearest tenth ) = 4.8mph

Answer:

38.7 mph

Explanation:

I just add all the numbers together then divided them by 4, which is the amount of numbers you gave.

A bartender slides a beer mug at 1.3 m/s towards a customer at the end of a frictionless bar that is 1.3 m tall. The customer makes a grab for the mug and misses, and the mug sails off the end of the bar. (a) How far away from the end of the bar does the mug hit the floor

Answers

Answer:

x = 0.67 m

Explanation:

For this problem, let's use the projectile launch equations, as the jug goes through the bar, it comes out with horizontal speed vx = 1.3 m / s, which does not decrease as there is no friction.

Let's find the time or it takes to get to the floor

          y = y₀ + v_{oy} - ½ g t²

in this case I go = 0 and when I get to the floor y = 0

         0 = y₀ + 0 - ½ g t²

          t² = 2y₀ / g

          t² = 2 1.3 / 9.8 = 0.2653

          t = 0.515 s

now let's find the distance traveled in this time

         x = vx t

         x = 1.3  0.515

         x = 0.6696 m

         x = 0.67 m

HELP ASAP PLEASE
Which 2 factors must be present for chemical vapor deposition to be successful:
A.) The size of the diamond is larger than the most.
B.) The conditions during cooling are controlled.
C.) The heat in a vacuum forms a gas of single atoms.
D.) The heat in a vacuum is decreased to freezing.
E.) The pressure of a reaction vessel is negative.

Answers

The answer will be C

As the distance between the sun and earth decreases, the gravity force between them

a
Increases
b
decreases
c
stays the same

Answers

Answer:

a increases

Explanation:

as distance between two objects increases the gravitational force decreases so when distance decreases the gravitational force increases

The current supplied by a battery in a portable device is typically about 0.122 A. Find the number of electrons passing through the device in two hours.

Answers

Ight hunch nvm cuh ong

what is a asteroid traveling rapidly called​

Answers

Answer:

meteor

Explanation:

A asteroid stays still and a meteor goes fast

Answer:

meteor

Explanation:

or some people call it a shooting star

Calculate the magnitude and direction of the resultant of the following forces​

Answers

Answer:

add them

100+150 = 250N same direction

that's the resultant

same direction

2. Who was the first to show ancient hieroglyphs of swimming?

Answers

Answer:

Rafi Bahalul

Explanation:

Israeli Haaretz newspaper reported Feb. 4 that Rafi Bahalul stumbled upon a 3,400-year-old Egyptian stone anchor engraved with hieroglyphs during a morning swim along Israel's northern shores last year.

I WILL MARK BRAINLIST!!!!
a person drops their phone. The phone's mass is 0.115 kilograms and the bridge is 15 meters tall. The instant the they dropped the phone, what was its mechanical energy?




1.725



16.9



200

Answers

Are you sure it’s mechanical energy? I haven’t taken a physics class in a while but mechanical energy doesn’t sound right.

A system with a mass of 10 kg, initially moving horizontally with a velocity of 20 m/s, experiences a constant horizontal force of 25 N opposing the direction of motion. As a result, the system comes to rest. Determine the amount of energy transfer by work, in kJ, for this process and the total distance, in m, that the system travels

Answers

Answer:

Explanation:

Kinetic energy of the mass of 10 kg

= 1/2 m v² , m is mass and v is velocity .

= .5 x 10 x 20²

= 2000 J

The opposing force stops it . so work done by opposing force will be equal to this energy and it will be negative .

So energy transfer will be  - 2000 J .

= 2 kJ .

If distance travelled by mass is d , force 25 N will have a displacement of d . so work done by force of 25 N

= 25 x d

25 d = 2000

d = 80 m .

Hence system travels a distance of 80 m .

what is the difference between heat and temperature

Answers

Heat is above a sertain limit and there is a stopping point to what you can consider heat, temperature can vary and is a form of measurement, temperature doesn't need to be hot but it's usually used to measure the amount or lack of heat.
Other Questions
how many miles per hour does it take to go 160 miles in 4.5 hours Help :( please I need some HELOPPPPPPPP ILL MARK YOU BRAINLIST Spanish question, ill give brainliest What is that answers Help me please Help Please!!! 30 Points!!Today, you will conduct your own research. Speak with a minimum of five adults and ask them what they know about Vincent van Gogh. After receiving their feedback, use books from the library and trusted websites to research the life of Van Gogh. Did all your sources provide the same information. Was some information different? Write a short paragraph discussing your findings and explaining the differences in the information you found. What is the equation of the graphed line written in standard form? According to Newtons second law of motion, what is equal to the acceleration of an object? A person is running at 2 m/s and 20 s later is running at 22 m/s. What isthe acceleration of the runner? HURRY PLEASE HURRY!!!!!!!On a coordinate plane, point B is at (negative 8, 10), point C is at (8, 10), point D is at (2, negative 2), point E is at (negative 8, negative 4).Use the diagram to complete the statements.The length of side BC.The length of side CD .The length of side ED .The length of side BE Why do you think that it was important to transport natural resources to the east and Northeast A local bookstore is selling each of their books at the same price. Jamal bought 5 books for a total of $64.95.Which of the following equations represents the cost, C, in dollars for b books?A. C=5bB. C=b5C. C=12.99bD. C=b12.99 ello what is the area of 56 x 156? ASAP!!!! HELP!!!! Will mark you brainliest .............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................. Claire reads 90 pages of her book in half an hour. How many pages can Claire read per minute? Outline how marine environments can be valuable for energy production. parallel plots in romeo and juliet The American war here changed from one of liberation to one of imperialism after the people tired of the U.S. occupation.A. GuamB. Philippines C. Puerto RicoD. Cuba i have no clue how to write this. I'm an actress not the playwrite! I'm so confuuuuuuuusedWRITE A COMMEDIA SCENARIO OF YOUR OWN Amorosa and Amoroso are in love and everyday (WHAT HAPPENS EVERYDAY? EXPOSITION, DESCRIBE SITUATION HERE) Until one day they ask to get married and Pantalone and/or Il Dottore will not allow them to marry because (WHY WONT THE PARENTS ALLOW THEM TO MARRY?) Columbina & Arlechino get together and decide they have to do something to fix the situation because (WHAQT SCHEME DO THEY THINK OF TO FIX THINGS?) So they plan (SOMETHING SILLY) The plan gets mixed up and this happens instead (SOMETHING CRAZY SILLY GOES WRONG, ITS A MIX UP, WHAT?) And because of that this happens (SOMETHING AWFUL, WHAT HAPPENS IN REACTION TO THE MIX UP?) Until finally, this happens (WHAT HAPPENS TO FINALLY FIX THINGS?) And after that day, this happens (HOW IS EVERYTHING HAPPY?) And then happy ever after (WHAT DOES HAPPY LIFE LOOK LIKE?)