A truck undergoes two consecutive displacements, the first is 75 km due 30.0 degrees west of north, and the second is 155 km due 60.0 degrees due east of north. What is the total displacement of the truck?

Answers

Answer 1

here we need to write the two components of the displacement and then we need to add them

first displacement is given as

[tex]d_1 = 75 km[/tex] 30 degree West of North

[tex]d_1 = - 75 sin30 \hat i + 75 cos 30 \hat j[/tex]

[tex]d_1 = - 37.5 \hat i + 64.9\hat j[/tex]

Other displacement is given as

[tex]d_2 = 155 km[/tex] 60 degree due East of North

[tex]d_2 = 155 sin60 \hat i + 155 cos60 \hat j[/tex]

[tex]d_2 = 134.2 \hat i + 77.5 \hat j[/tex]

now we need to find the net displacement

[tex]d = d_1 + d_2[/tex]

[tex]d = (-37.5 + 134.2)\hat i + (64.9 + 77.5)\hat j[/tex]

[tex]d = 96.7\hat i + 142.4\hat j[/tex]

so it is given as

[tex]d = \sqrt{96.7^2 + 142.4^2}[/tex]

[tex]d = 172.1 km[/tex]

and its direction is given as

[tex]\theta = tan^{-1}\frac{96.7}{142.4} = 34.1 degree[/tex]

so it will displace by 172.1 km at 34.1 Degree East of North


Related Questions

Which of the following factors affects the pressure of an enclosed gas

Answers

The answer is:

All the above

The explanation:

The volume and the temperature and the number of particles will affect the pressure of an enclosed gas.

because according to boyle's law when the temperature constant so the pressure and volume of a gas have an inverse relationship, when temperature is constant.

when:

PV = nRT

when p is the pressure

V is the volume

n is number of moles

T is temperature

from this law we can know that there is a relation  between P and V and when n has a relation with the number of particles so:

volume , temperature and number of particles affect the pressure of an enclosed gas.

Final answer:

The pressure of an enclosed gas can be affected by the volume of the container, the temperature of the gas, and the amount of gas within the container.

Explanation:

The pressure of an enclosed gas is affected by various factors including volume, temperature, and the amount of gas. When the volume of a gas container is decreased, there is less space for the gas molecules to move around, resulting in more frequent collisions with the container walls and an increase in pressure. This relationship is an example of Boyle's law. Conversely, increasing the volume will decrease the pressure. Additionally, raising the temperature of the gas increases the kinetic energy of the molecules, leading to more frequent and forceful collisions with the walls, thus increasing the pressure. Lastly, adding more gas molecules to the container, while keeping the volume and temperature constant, will also increase the pressure because there are more molecules to collide with the container walls per unit time.

calculate the voltage difference in a circuit that has a resistance of 24 if the current is 0.50 a

Answers

In order to calculate the voltage difference in the circuit, we need to look at the equation: V=IR.

In the equation:

V= Voltage

I= Current

R= Resistance.


Assuming we know this, We will plug it into an equation to find our voltage.

V=(.50a)x(24Ω)

If we solve for V, Your final answer will be: 12v (or 12 volts)

The voltage difference in a circuit that has the given resistance and current is 12 Volts.

Given the data in the question;

Resistance; [tex]R = 24 ohms[/tex]Current; [tex]I = 0.50A[/tex]

We know that; current is the ratio of potential difference and resistance.

It is expressed as:

[tex]I = \frac{V}{R}[/tex]

We substitute our given values into the equation and solve for the voltage

[tex]0.50A = \frac{V}{24ohms}\\\\V = 0.50A \ *\ 24ohms\\\\V = 12Volts[/tex]

Therefore,  the voltage difference in a circuit that has the given resistance and current is 12 Volts.

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A person is trying to lift a crate that has a mass of 30 kg. The normal force of the floor is currently supplying 150N of force. How much force is the person currently exerting?

Answers

Here when an object is placed on the level floor then in that case there are two forces on the object

1). Weight of object downwards (mg)

2). Normal force due to floor which will counterbalance the weight (N)

so when no force is applied on the box at that time normal force is counter balanced by weight.

Now here it is given that A person tried to lift the box upwards

So now there are two forces on the box

1). Applied force of person

2). Normal force due to ground

So now these two forces will counter balance the weight of the crate

So we can write an equation for force balance like

[tex]F_g = F_n + F_a[/tex]

given that

[tex]F_g = mg[/tex]

here

m = 30 kg and

g = acceleration due to gravity = 10 m/s^2

[tex]F_n = 150 N[/tex]

now from above equation

[tex]30*10 = 150 + F_a[/tex]

[tex]F_a = 300 - 150 = 150 N[/tex]

So force applied by the person must be 150 N

the answer is

144 N

i got it right

A sound wave is created in an unknown substance with a frequency of 24kHz. Using extremely sensitive sensors, it is determined that the sound wave travels through a piece of this substance that is 3.5 m long in .919 millisecond. Determine the substance that this sound wave is traveling through.

Answers

velocity is of sound id defined as distance covered by sound per unit time

here given that

distance covered by sound = 3.5 m

time taken by the sound = 0.919 millisecond

So the velocity of sound will be given as

[tex]v = \frac{d}{t}[/tex]

[tex]v = \frac{3.5}{0.919* 10^{-3}}[/tex]

[tex]v = 3808.5 m/s[/tex]

so the speed of sound in the given medium is 3808.5 m/s

As we know that speed of sound in any substance is given as

[tex]v = \sqrt{\frac{E}{\rho}}[/tex]

As per the data available online the speed of sound in gold is 3250 m/s while speed of sound in glass is 4500 m/s

So here we can say the above speed is in between these two mediums whose elasticity and density ratio is more than gold but less than glass.

So this velocity of sound is nearly match with the data obtained for copper

So this speed is approx obtained in copper

why is a person who lives in the city able to sleep through the sounds of traffic but awaken to the soft sound of bird singing

Answers

They grew up  to that sound. They love the sound of that same traffic sound.

They are used to hearing city stuff. Not necessarily birds so they will wake up to a different sound

in which type of collision do the two objects always have equal velocity after the collision
a. Perfectly inelastic
b. inelastic
c. No Type of collision
d. Elastic

Answers

Answer: Option A

Explanation: In an elastic collision, the two objects only will have the same velocity after the collision if the had it before.

Now, in an inelastic collision the kinetic energy is not conserved, so there is a chance that the two objects that started with a different velocity end with the same, and that case is called "Perfectly inelastic" it occurs when the maximum kinetic energy is absorbed, and both objects "stick" to each other and move together as one, so the correct option is option A.

A car travels along the motorway at a steady 70 m.p.h. How far will it travel in half an hour?

Answers

If a car is travelling 70 m.p.h that means it is travelling 70 miles PER HOUR and since we want to know half an hour we can do

70mph divided by 2 =35m.p half hour so the car is travelling 35miles in half an hour

If the car travels at 70 mph then in 1/2 an hour it will travel 70*1/2=35 miles

why is it that a bell in a sealed bell jar can be heard when the jar is full of air

Answers

sound travels through air, not through vacuum = lack of air

Final answer:

A bell can be heard inside a sealed bell jar full of air because sound waves travel through the air, causing vibrations that reach the ear and are interpreted as sound.

Explanation:

The reason a bell can be heard when rung inside a sealed bell jar full of air is due to the ability of sound waves to travel through gases, like air. Sound waves are mechanical waves requiring a medium to propagate, and in the presence of air inside a bell jar, these waves can move by causing the air molecules to vibrate. This sets off a chain reaction of vibrating molecules that eventually reach your ear, translating into the sound you hear. In contrast, if the jar were to be evacuated, leaving a vacuum, there would be no medium for the sound waves to travel through, and the bell wouldn't be heard.

High voltage power lines transmit electrical energy at 240,000 V. Before the current reaches your home, the voltage is decreased to the standard voltage for a wall socket. If a single step-down transformer is used, what is the ratio of turns in the primary coil to the secondary coil?

Answers

Transformer is used to change the voltage from higher value to lower value

It is done by changing the number of coils in primary and secondary coils

The working equation is given as

[tex]\frac{V_s}{V_p} = \frac{N_s}{N_p}[/tex]

here we have

[tex]V_s[/tex] = Secondary coil voltage = 120 V

[tex]V_p[/tex] = Primary coil voltage = 240,000 V

[tex]N_s[/tex] = Turns in secondary coil

[tex]N_p[/tex] = Turns in primary coil

Now by using the equation above

[tex]\frac{120}{240,000} = \frac{N_s}{N_p}[/tex]

now we have

[tex]\frac{N_p}{N_s} = \frac{240,000}{120}[/tex]

[tex]\frac{N_p}{N_s} = 2000[/tex]

so the ratio must be 2000

2000:1 is the ratio of the number of turns in the primary coil to the secondary coil of a transformer that steps down the voltage from 240,000 V to 120 V.

The ratio of the number of turns in the primary coil ([tex]n_p[/tex]) to the secondary coil ([tex]n_s[/tex]) of a transformer is directly related to the input ([tex]V_p[/tex]) and output voltage ([tex]V_s[/tex]).

The formula to calculate this ratio is:

[tex](V_p / V_s) = (n_p / n_s)[/tex]

Given:

Primary voltage ([tex]V_p[/tex]) = 240,000 VSecondary voltage ([tex]V_s[/tex]) = 120 V (standard voltage in a wall socket)

Using the formula:

[tex](240,000 V / 120 V) = (n_p / n_s)[/tex]

This simplifies to:

[tex]2000 = (n_p / n_s)[/tex]

Therefore, the ratio of the number of turns in the primary coil to the secondary coil is 2000:1.

a box is sliding across the floor from left to right. which diagram correctly shows the force of fiction acting on the box?

Answers

Friction in this case will act counter to the direction of the box's movement. The box moves left to right, so the force of friction acts in the opposite direction. (D)

Answer: Hello there!

first, we have two notions of the force of friction:

The force of friction is in the opposite direction of the motion direction.

It acts in the contact point between the objects.

Then if the box is moving from left to right, the friction force should point from right to left, and be in the bottom of the box (the contact point between the box and the floor).

The diagram that shows this is the D.

What object is an insulator?

A) Iron
B) Copper
C) Plastic
D) Salt Water

Answers

The answer to this would be plastic. The other options are conductors. Remember, metal is a conductor as well as the salt ions in salt water.

A speed-time graph shows a car moving at 10 m/s for 10 s. The cars speed constantly decreases until it comes to a stop at 30 s. Which describes the slope of the graph from 10 s to 30 s

Answers

speed of the car at t = 10 s is given as 10 m/s

now at t = 30 s car comes to rest so v = 0

now in this velocity time graph we can say slope will show the acceleration of the car as we know that acceleration is rate of change in velocity

[tex]a = \frac{v_f - v_i}{\Delta t}[/tex]

as we know that

[tex]v_f = 0[/tex]

[tex]v_i = 10 m/s[/tex]

[tex]\Delta t = (30 - 10) = 20 s[/tex]

now from above formula

[tex]a = \frac{0 - 10}{20} = -0.5 m/s^2[/tex]

So slope of the graph will represent the acceleration of car which is 0.5 m/s^2

Actually the correct answer is going to be Linear, sloping downward.

Please mark Brainliest if this answer helped you.

Please help me asap! :)

When a slow moving neutron collides with a nucleus and causes it to split this is describing...

Fusion?

Fission?

Chain reaction?

Half life?

Thanks!

Answers

Fission. The word fission means a splitting or breaking up into parts so I’m pretty sure it fission

this is a diagram of the first right hand rule relates to which two

Will mark as brailiest

Answers

Hey mate,

Here is the Answer,

A. Current ( thumb ) to Magnetic field (fingers ) ..

A rocket ship starts from rest and turns on its forward booster rockets, causing it to have a constant acceleration of 4 m/s^2 rightward. After 3s, what will be the velocity of the rocket ship? Answer using a coordinate system where rightward is positive.

Answers

here rocket starts from rest

It turns the booster and continue with constant acceleration

[tex]a = 4 m/s^2[/tex]

now in order to find the final velocity we can use kinematics equation

[tex]v_f = v_i + at[/tex]

here we know that

[tex]v_i = 0[/tex]

t = 3 s

now plug in all data in above equation

[tex]v_f = 0 + 4*3[/tex]

[tex]v_f = 12 m/s[/tex]

so the rocket will move rightwards with speed 12 m/s after 3 s of boosters

what force is needed to accelerate a mass of 36 kg at 8.6m/sec2

Answers

Solution is given in following attachment.

I’m gym class you run 22m horizontal then climb a rope vertically for 4.8m. What is the direction angle of your total displacement, as measured from the horizontal?

Answers

Horizontal distance covered is given as

[tex]x = 22 m[/tex]

vertical distance climbed by is given as

[tex]y = 4.8 m[/tex]

now we need top find the angle made by the displacement vector with respect to horizontal

So here we will say that we can use trigonometry to find out the angle with horizontal

The formula is given as

[tex]tan\theta = \frac{opposite \: side}{adjacent \: side}[/tex]

here given that

opposite side = 4.8 m

adjacent side = 22 m

now we can plug in all data in above equation

[tex]tan\theta = \frac{4.8}{22}[/tex]

[tex]tan\theta = 0.22[/tex]

[tex]\theta = tan^{-1}0.22[/tex]

[tex]\theta = 12.3 degree[/tex]

so here the displacement will make 12.3 degree angle with horizontal

Final answer:

When you run in gym class and then climb a rope, the direction angle of your total displacement as measured from the horizontal can be calculated using the inverse tangent function. Given a horizontal displacement of 22m and a vertical displacement of 4.8m, the direction angle is approximately 12.42 degrees.

Explanation:

The direction angle of displacement denoted by Θ in this context, is calculated based on the horizontal and vertical components of your displacement. Since displacement in this scenario forms a right triangle with the horizontal displacement (22m) and vertical displacement (4.8m), we can calculate the angle using the inverse tangent function (also known as arctan or tan^-1).

So, Θ = arctan(vertical displacement/horizontal displacement) = arctan(4.8m / 22m) = 12.42 degrees.

The direction angle of your total displacement, as measured from the horizontal in this context is approximately 12.42 degrees.

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Question #7 please
Find the answer from the table in the picture

Answers

I need help in this too
Answer:

Sample A: Iodine

Sample B: Bromine

Sample C: Chlorine.

Explanation:Sample A is solid. So according to the melting and boiling points of iodine at 20°C, it will solid.Sample B is liquid. Because according to the melting and boiling points of Bromine at 20°C, it will liquid.Sample C is Gas. Because according to the melting and boiling points of Chlorine at 20°C, it will solid.

An object is dropped from a 15 m ledge. What is the objects final velocity ?

Answers

Answer:

The object's final velocity is approximately \(17.15 \ m/s\) downward.





How is the enthalpy of vaporization related to intermolecular forces during a phase change?

A)
The temperature increase converts bonding forces into intermolecular forces during vaporization.
Eliminate

B)
The intermolecular energy of vaporization represents a greater change increasing the bonding forces.


C)
The kinetic energy of the ethanol molecules increases strength of the intermolecular forces increases.


D)
The liquid state is stabilized by the molecule's intermolecular forces resulting in a high enthalpy of vaporization.


Answers

Lol I just did this on USA Test Prep. The answer is D.

Option D - The liquid state is stabilized by the molecule's intermolecular forces resulting in a high enthalpy of vaporization → is the correct option.

We have enthalpy of vaporization.

We have to determine how is the enthalpy of vaporization related to intermolecular forces during a phase change.

What are intermolecular forces?

Intramolecular forces are the forces that hold atoms together within a molecule.

According to the question -

The molecules inside liquid are held together by the intermolecular forces. A specific amount of heat energy is required to overcome these intermolecular forces in order to change the state from liquid to gas. This energy is called heat of vaporization. Hence, the intermolecular forces help liquid to stay in a steady state which will ultimately require more energy to separate the molecules.

Therefore, Option D is the correct Alternative.

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An astronaut's weight on earth is 800 N.
What is his weight on Mars, where g=3.76m/s2?

Answers

weight = mg

W on earth = 800N

mg = 800 N        

m(9.8 m/s²)= 800N

dividing 9.8 both sides

m=800/9.8          ( as g=9.8m/s² on earth)

m=81.63 kg

Now weight on Mars

w=mg

 =(81.63kg) ×(3.76m/s²)

w=306N


The astronaut's weight on Mars is approximately 306.53 N.

Weight is the measure of the force of gravity acting on an object. It is often expressed as newtons (N) or pounds (lbs). Although the words "weight" and "mass" are sometimes used interchangeably in everyday English, they are not the same thing.

We can use the following formula for calculating the weight of Astronuat:

Weight on Mars = Weight on Earth * (Gravity on Mars / Gravity on Earth)

Given:

Weight on Earth = 800 N

Gravity on Mars = 3.76 m/s²

Gravity on Earth = 9.8 m/s²

Weight on Mars = 800 N * (3.76 m/s² / 9.8 m/s²)

Weight on Mars ≈ 306.53 N

Therefore, the astronaut's weight on Mars is approximately 306.53 N.

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Tim puts his spare change in a jar each day when he comes home. When the jar is full he separates the coins and takes them to the bank. The coins would be classified as a _________. A) compound B) element C) mixture D) solution

Answers

The bunch of stuff in the jar is a mixture. The different kinds of pieces aren't bound to each other, and they can be easily separated.

A 422N block is sitting on a frictionless surface and is connected by a massless, extension-less rope over a frictionless pulley to a 185N mass. What is the acceleration of the blocks and the tension in the cable.

Answers

solution is written in attached image.

Final answer:

To find the acceleration of the blocks and the tension in the cable, we can use Newton's second law of motion and set up equations for the hanging mass and the block on the surface. Solving these equations will give us the values we need.

Explanation:Tension and Acceleration in a Two-Block System

In order to find the acceleration of the blocks and the tension in the cable, we can use Newton's second law of motion which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.

In this system, the force of gravity acting on the hanging mass mg pulls it downward, while the tension in the cable T pulls it upward. Since the system is frictionless, the acceleration of both blocks will be the same and can be represented as a.

Applying Newton's second law to each block, we can set up the following equations:

For the hanging mass: mg - T = ma

For the block on the surface: T = mR

where m is the mass of the hanging block, g is the acceleration due to gravity, a is the acceleration of the system, and R is the mass of the block on the surface.

Solving these equations simultaneously will give us the value of the acceleration and the tension in the cable.

Suppose a candle is burning, and wind is blowing on one side of the flame. Which principle explains why the flame bends toward the wind?

Answers

Can u tell me the answer choices? Than I will help.

Answer: Bernoulli’s

Explanation:

Mike walks 200 km in 6 hours.he then walks another 100km in 4 hours .what is his average speed?

Answers

Average speed is defined as the ratio of total distance covered in total given time

[tex]speed = \frac{distance}{time}[/tex]

here we know that total distance that man moved is

[tex]d_1 = 200 km[/tex]

[tex]d_2 = 100 km[/tex]

so total distance is

[tex]d = d_1 + d_2[/tex]

[tex]d = 200 km + 100 km[/tex]

[tex]d = 300 km[/tex]

now here total time of the motion is

[tex]t_1 = 6 hours[/tex]

[tex]t_2 = 4 hours[/tex]

total time will be given as

[tex]t = t_1 + t_2 [/tex]

[tex]t = 6 + 4 = 10 hours[/tex]

now by above formula

[tex]v_{avg} = \frac{300}{10}[/tex]

[tex]v_{avg} = 30 km/h[/tex]

so his average speed is 30 km/h

for each of the following objects ,tell which metric unit of measurement you would use: A.length of an ant. B.mass of a postage stamp C.volume of a large jug of milk. D.mass of a truck

Answers

Centimeters, millimeters, liter, and pounds. Hop this helped

According to the law of conservation of matter, which chemical equation represents a possible chemical reaction? A. CaCO3 Fe2O3 B. 2Na + Cl2 2NaCl C. 4Fe + 3O2 C6H12O6 + 6O2 D. C6H12O6 + 6O2 CaO + CO2

Answers

The correct answer is:

B. 2Na + Cl2 --> 2NaCl

In fact, this is the only reaction among the choices where the number of atoms of each element is conserved. In fact, we see that on the left we have 2 atoms of sodium and 2 atoms of chlorine, and on the right we have two molecules of NaCl, which means that we still have 2 atoms of sodium (Na) and 2 atoms of chlorine (Cl).

Equation for 20 m/s and 26 m/s for final and initial velocity

Answers

26 m/s - 20 m/s = 6 m/s

Newton’s _______ law states than an object at rest will remain at rest and an object in motion will stay in straight line motion unless acted upon by an unbalanced force

Answers

The answer is Newton's First law of motion.

Answer:

Newton's First law of motion.

Explanation:

Newton's First law of motion -

Newton' s first law of motion , also called the law of inertia .

According to this law , when an object is at rest or at stationary position , stays at that position and when the object is at motion , continues to be at the motion unless and until some force is acted on it .

Hence , the correct law for the given statement of the question , is Newton's First law of motion .

A ball is thrown w a speed of 30m/s at an angle of 10. When is the vertical component of the velocity equal to zero

Answers

Now the vertical velocity of the ball thrown at an angle 10° is given as

Voy(initial vertical velocity)= 30m/s x sin 10

Voy(initial vertical velocity)= 5.2m/s

Now the ball is decelerating with an acceleration due to gravity equivalent to 9.8m/s^2.

Let Vy be the final velocity and that is equal to zero in this case.

Now

Vy= Voy- tx9.8

Where t is the time at which the vertical velocity becomes 0.

Substituting the values we get

0= 5.2-tx9.8

9.8t=5.2

t=0.53 secs



Answer:

at the top of the ball’s trajectory

Explanation:

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