A car is stopped for a traffic signal. When the light turns green,
the car accelerates, increasing its speed from 0 to 5.20 m/s in
0.832 s. What are the magnitudes of (a) the linear impulse and
(b) the average total force experienced by a 70.0-kg passenger
in the car during the time the car accelerates?

Answers

Answer 1

The impulse of the car is 365kgm/s and average force experienced is 437.5N.

acceleration is defined as the change in velocity per unit time.

average force is defined as the force experienced by a body while the acceleration is constant.

given:

initial velocity (u)=0m/s

final velocity(v)=5.20m/s

time(t)=0.832s

mass (m)=70 kg

a)

first we will find acceleration

a=5.2/0.832

=6.25m/s²

now average force experienced (F)= mass*acceleration

F=70×6.25F

=437.5N

now impulse (I) is given by F×t=437.5×0832I

=365kg×m/s

therefore the impulse is 365kg×m/s

b)

Now we will find the average force applied.

Average force experienced is 437.5N

therefore,

The impulse of the car is 365kgm/s and average force experienced is 437.5N.

learn more about newtons law of motion here:https://brainly.com/question/14559607

#SPJ9


Related Questions

What is the mass of a block accelerating at 2 m/s2 and pushed by a 9 N force?

Answers

Answer:

1 Newton (N) 1 kg*m/s²

Acceleration is measured in m/s², so combine your starting figures in such a way as to get m/s² (you have to divide away the kg):

9N/2kg = 4.5 m/s²

Explanation:

7. A tennis ball thrown horizontally from the top of a water tower lands 20.0 m from the base of the tower. If the tennis ball is initially thrown at a velocity of 10.0 m/s: (a) how long does it take the tennis ball to reach the ground? (b) how high is the water tower? (b) how far away was the golfer from the hole when he hit the ball? A championship goffer uses a nine iron to chip a shot right into the cup. If the golf ball is launched at a velocity of 20m / s at an angle of 60 deg above the horizontal: (a) how long was the ball in the air? (c) what maximum height did the ball reach?​

Answers

Time taken by the tennis ball to reach the ground is 1.23 second, if the initial velocity is  10.0 m/s.

Velocity is the time price at which an object is transferring alongside a route, even as the pace is the fee and path of an item's motion. put some other manner, velocity is a scalar price, at the same time as velocity is a vector.

Speed is the speed at which something moves in a particular direction. for instance as the rate of a car traveling north on a motorway, or the rate a rocket travels after launching. In a scalar way, absolutely the value magnitude of the velocity vector is continually the velocity of the motion.

Speed is a vector expression of the displacement that an item or particle undergoes with appreciation to time. the standard unit of speed magnitude (also known as velocity ) is the meter consistent with 2nd (m/s).

The top of a water tower lands 20.0 m

initial velocity = 10.0 m/s

time required to reach the ground  =

S = ut + 1/2 at²

20 = 10t + 5t²

t = 1.23 second

The water is at a height of 20 m.

Learn more about velocity here:-https://brainly.com/question/25749514

#SPJ1

A disc rotates about its axis at a constant rate. If the acceleration of the outer rim of the disc is 4.9 m/s2, and the period of the rotation is 2.0 s, what is the radius of the disc?

Answers

The radius of the disc will be 0.496 meters.

What is Angular velocity?

The pace at which an object rotates or revolves around an axis is known as its angular velocity. The Greek letter omega stands for angular velocity. Because it is expressed as an angle per unit of time, angular velocity in the SI is measured in radians per second. [[tex]M^{0}L^{0}T^{-1}[/tex]] is the dimensional formula for angular velocity.

According to the question, the given values are :

Acceleration, a=4.9 m/s² and,

Period of rotation, T=2.0 seconds

So, angular velocity (ω) of disc =2π/T

⇒2π/2

= π rad/sec.

Acceleration= rω²

4.9= r×π²

r=0.496 meters.

Hence, the radius of the disc will be 0.496 meters.

For more information about Angular velocity :

https://brainly.com/question/12446100

#SPJ1

2.Three sets of temperatures in Celsius, Fahrenheit and Kelvin scales respectively are given below. In which set do the thermometer scales show temperature of the same object? (a) 0°C, 32° F, 273 K (b) 0° C, 60° F, 373 K (c) 10° C, 32° F, 373 K​

Answers

Correct option is (a)

5. A ball is shot into the air with an unknown initial velocity. The ball reaches its highest point after 7 seconds, at which point it has traveled 40 meters into the air. What was its initial velocity?​

Answers

It reached 40 meters at 4 seconds

How many grams are in 2 kg

Answers

There are 2000g in 2kg
There are 2000g in 2kg

Wil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 128 m high. How long does it take the ball to hit the ground?

Answers

The time has taken the ball to hit the ground is (t)= 5.11 Seconds.

What is time?

The best example that would help us understand and know what time are the clock and the calendar. This clock gives us the exact hour, minutes and seconds. The calendar tells us the exact day, month and year.

How can we calculate time?

To calculate the time has taken the ball to hit the ground, we are using the formula,

S=ut+(1/2)gt²

Here we are given,

u= The initial velocity of the ball= 0 m/s

g= The acceleration due to gravity is= 9.8 m/s²

S= The height of the cliff = 128m.

We have to calculate the time has taken the ball to hit the ground = t

Now, we put the known values in the above equation we get,

S=ut+(1/2)gt²

Or, 128=0*t+(1/2)*9.8*t²

Or, t= √((2*128)/9.8)

Or, t=5.11 Seconds

Thus from the above calculation we can conclude that, the time has taken the ball to hit the ground is (t)= 5.11 Seconds

Learn more about time:

https://brainly.com/question/1816510

#SPJ9

If a ball is thrown upward at a speed of 10 m/s, and it reaches a height of 5.1 meters, how long
will it be in the air total?

Answers

Answer:

t = 10/9.81 = 1.02s

Explanation:

the ball will be up in the air for 1.02 seconds

A: In a second contest, the three displacements given are 90.9 m , 30.0 ∘ west of north; 15.5 m straight north; and 80.9 m , 45.0 ∘ south of east. What magnitude does the winner calculate for the displacement to find the keys to the Porsche?

B: What direction does the winner calculate for the displacement to find the keys to the Porsche?

Answers

A. Magnitude that the winner calculates for the displacement to find the keys to the Porsche is 38.83m.

B. The direction that the winner calculates for the displacement to find the key to the Porsche is 72.38° East of North.

When a particle moves from position A to point B, its displacement cannot be expressed using scalars. Always represented as a vector.

If an object's beginning and final positions are the same, its displacement is zero. That is, if a person begins a voyage at one location, walks some distance, and then returns to that location, his mobility will be zero.

The distance to the item will be 0 in this situation. Furthermore, there is no direction of zero displacements.

Given,

S1 = 90.9m, 30.0° west of north

S1 = 90.9 sin 30°( - î) + cos 30° j

∴ S1 = -45.45î + 78.72j

S2 = 15.5 m straight north

S2= 15.5 j

S3 = 80.9m, 45° south of east

S3 = 80.9 cos 45° î + 80.9 sin 45° j

S3 = 57.21 î - 57.21 j

Now,

Total displacement, S = S1 + S2 + S3

S = (-45.45î + 78.72j) + ( 15.5 j) + (57.21 î - 57.21 j)

  = ( -45.45 + 57.21) î + ( 78.72 + 15.5 -57.21) j

S  = 11.76 î + 37.01 j

|S| = 38.38m

tan α = y / x

tan α = 37.01 / 11.76

tan α = 3.15

α = 72.38°   from East of North

Learn more about displacement here:

brainly.com/question/20558897

#SPJ9

A car is traveling due north at 23.6 m>s.
Find the velocity of the car after 7.10 s if its
acceleration is (a) 1.30 m>s2 due north, or
(b) 1.15 m>s2 due south.

Answers

A car is traveling due north at 23.6 m>s.

Find the velocity of the car after 7.10 s if its

acceleration is

The acceleration is known to be: a(t) = 1.7 m/s2.

We must integrate over time to obtain the velocity function, and the results are:

v(t) = (1.7m/s^2)

*t + v0

If we suppose that we begin at 23.6 m/s, then the initial velocity is: v0 = 23.6 m/s, where v0 is the beginning velocity.

The velocity formula is then: v(t) = (1.7m/s2).

*t + 23.6 m/s

We now seek to determine the value of t such that v(t) = 27.8 m/s.

Consequently, v(t) = 27.8 m/s = (1.7 m/s2)

*t + 23.6 m/s = (1.7 m/s2) 27.8 m/s - 23.6 m/s

t = 2.5 seconds when *t 4.2 m/s = (1.7 m/s/2)

At such acceleration, 2.5 seconds are required.

To learn more about acceleration Visit :

https://brainly.com/question/19599982

#SPJ9

A man runs at 7.5 m s-1 due east across the deck of a ship which moves at 10.0 m s-' due
north. Determine the resultant velocity of the man (his velocity relative to the water).

Answers

The resultant velocity of the man is 12.5 m/s N of E.

Velocity of the man, Vm = 7.5 m/s

Velocity of Ship, Vs= 10 m/s

Since, velocity is a vector quantity, it will have both the magnitude and the direction.

So the magnitude for the resultant vector can be calculated by using the formula

[tex]\sqrt{x^{2} +y^{2} }[/tex] ; where x is the magnitude of the x-axis component and y is the magnitude of the y-axis component

i.e.

= [tex]\sqrt{Vm^{2} +Vs^{2} }[/tex]

= [tex]\sqrt{7.5^{2} + 10^{2} }[/tex]

= [tex]\sqrt{156.25}[/tex]

= 12.5 m/s

Also the direction can be calculated by Tan[tex]\alpha[/tex]

Tan[tex]\alpha[/tex] = [tex]\frac{10}{7.5}[/tex]

= Tan⁻(1.33)

= 58.9°

The angle between the resultant velocity and the horizontal axis is 58.9°.

Therefore the resultant velocity of the man relative to the water is 12.5 m/s towards NORTH-EAST direction.

To know more about vector quantity,

https://brainly.com/question/28010288

#SPJ1

If the length of the pendulum in pendulum clock increases by 0.1 % , then the error in time per day is
a) 86.4s
b) 4.32s
c) 43.2s
d) 8.64s

JEE Mains 2022​

Answers

When the length of the pendulum in pendulum clock increases by 0.1 % , then the error in time per day is c) 43.2s

How to calculate the time?

Let the pendulum = L

The time in a day will be: = 60 × 60 × 24

When the length is increased, the new length will be:

= L + 0.001L

New time period will be:

T =✓0.001s

Now, the error in a day will be:

= ✓0.001 × 60 × 60 × 24 - 1 × 60 × 60 × 24.

= 60 × 60 × 24(✓1.001 - 1)

= 43.2 seconds.

Therefore, the correct option is C.

Learn more about time on:

brainly.com/question/10428039

#SPJ1

What is measurement ?...​

Answers

Answer:

the size, length, or amount of something, as established by measuring.

the determination of the size or magnitude of something. By comparing that unknown quantity with some standard quantity of equal nature, known as measurement unit.

Question 3 (1 point)
You are traveling up on an elevator to the 95th floor of the Hancock tower. As it
nears the 95th floor, your weight appears to be ?

Answers

You are traveling up on an elevator to the 95th floor of the Hancock tower. As it nears the 95th floor, your weight appears to be lighter.

Here is an exercise in thought. Consider a container with internally completely reflecting surfaces that is partially filled with light and located at sea level on Earth. The light will be somewhat gravitationally redshifted as it ascends, which will cause it to reflect at the top of the container with a little less momentum. Similar to how it will be blue shifted when travelling downward and give the container's bottom greater momentum. Weight is a quality of something that is subject to gravity. Light is drawn to objects with mass by gravity because it has energy. Since two photons (separate "pieces" of light, in a broad sense) have energy, I imagine they would be attracted to one another gravitationally. However, it would be really little.

Learn more about energy here-

https://brainly.com/question/1932868

#SPJ9

The Universal Gravitational constant
gives the mass and value a direction
converts the ratio of mass and distance to Newtons
gives the mass and distance a value
converts the ratio of mass and distance to kilograms

Answers

According to the given question, mBg- mAg = a(mA + mB)  is the equation that will be used to determine acceleration.  

The gravitational constant, represented by the capital G, is an empirical physical constant used in the calculation of gravitational effects in both Albert Einstein's theory of general relativity and Sir Isaac Newton's law of universal gravitation.

It is the proportionality constant in Newton's law that links the gravitational force between two bodies to the sum of their respective masses and the square root of their distance. It quantifies the relationship between the energy-momentum tensor and the spacetime geometry in the Einstein field equations.

The measured value of the constant is known to four significant digits with some certainty. Its value is approximately 6.674×10−11 m3⋅kg−1⋅s−2 in SI units.

Given in the qusetion

T -  WA = mAa         --------------1

WB - T = mBa            --------------2

We know that, WA = mAg and WB = mBg

T = mAa + WA

T = mAa + mAg           --------------3

Similarly, T = WB - mBa

T = mBg- mBa            --------------4

From equation 3 and 4

mAa + mAg = mBg- mBa

mAa + mBa = mBg- mAg

a(mA + mB) =  mBg- mAg

So, mBg- mAg = a(mA + mB)  is the equation that will be used to determine the acceleration.  

LEARN MORE ABOUT UNIVERSAL GRAVITATIONAL CONSTANT HERE:

https://brainly.com/question/11359658

#SPJ9

Your question is incomplete. Please check the full content below.
The Universal Gravitational constant converts the ratio of mass and distance to Newton

gives the mass and distance a value

converts the ratio of mass and distance to kilograms

gives the mass and value a direction

The following equations are for two connected objects in the axis of motion

T-WA=mAa

WB-T=mBa

Which of the following equations would be used to determine the acceleration

T+mBg-mAg=(mA+mB)a

-T+mBg-mAg=(mA+mB)a

mBg-mAg=(mA+mB)a

mBg-mAg=mAa

.Which term is described as a shelf of undersea land reaching a depth of about 200 meters (656 feet) and extending out from the shoreline?

A. guyots

B. deep-sea trenches

C. abyssal plains

D. continental shelf

Answers

Option D. continental shelf

Continental shelf is a part of a continent that is submerged under an area of ​​relatively shallow water known as a shelf sea.

It is given in the question, that the shelf of undersea land reaches 200 meters and it also extends out from the shoreline. This condition is only possible when a structure is submerged, and such submerged region can only be called as continental shelf.

On the other hand guyots is a underwater volcanic mountain and deep-sea trenches are the the long narrow lowerings in the ocean floor with the depth upto 6000 meters. And abyssal plains are the underwater ocean floors which cannot be found at the depth of 200 meters.

Therefore continental shelf is used to described as a shelf of undersea land reaching a depth of about 200 meters (656 feet) and extending out from the shoreline.

To know more about continental shelf,

https://brainly.com/question/2132166

#SPJ1

What become v if we use 2 risistors of 4w in parallel

Answers

the voltage across two resistors of 4w in parallel is the same.

At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 250 km/h in the northwest direction (45° west of north).

Find the magnitude of the change in velocity.


Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west.


What is the magnitude of your average acceleration during the trip?

Answers

The magnitude of the change in velocity is determined as 408.94 km/h.

The change in direction of the velocity is 64.4⁰ north of west.

The magnitude of the average acceleration during the trip is 0.0105 m/s².

Magnitude of change in velocity

The magnitude of change in velocity is the resultant velocity of the plane.

v² = a² + b² - 2ab cosθ

where;

θ is the angle between the two velocities = 45 + 90 = 135

v² = (192²) + (250²) - 2(192 x 250) cos(135)

v² = 167,236

v = √167,236

v = 408.94 km/h

Vertical component of the velocity

vyi = 192 km/h

vy2 = 250 x sin(45) = 176.77 km/h

vy(total) = 192 km/h + 176.77 km/h = 368.77 km/h

Horizontal component of the velocity

vxi = 0

vx2 = - 250 km/h x cos(45) = -176.77 km/h

Change in direction of the velocity

θ = arc tan (Vy/Vx)

θ = arc tan(368.77 / -176.77)

θ = -64.4 ⁰

θ = 64.4⁰ north of west.

Acceleration of the trip

a = v/t

v = 408.94 km/h = 113.6 m/s

h = 3 h = 10,800 seconds

a = (113.6 m/s) / ( 10,800 s)

a = 0.0105 m/s²

Learn more about change in velocity here: https://brainly.com/question/25749514

#SPJ1

Convert 1.54 mg/cm³ to kg/dm³.

Answers

The converted unit 1.54 (mg / (cm^3)) is :

=0.00154 kg / (dm^3.)

What does unit conversion mean?

A unit conversion is used to express the same property in a distinct unit of measurement. Minutes can be used to measure time instead of hours, and feet, kilometres, or any other measure can be used to measure distance in place of miles.

Why is conversion of units required?

Showing someone the precise amount you have will be helpful. help with a mathematical problem, especially one involving chemistry where the solution can be found by following the units. Indicate the person's preferred system of measurement (i.e. metric or standard).

Briefing:

1.54 mg/ cm³ x 1g/1000mg

Continue likewise until you have achieved kg:

1.54 mg/ cm³ x 1g/1000mg x 1 kg/ 10000g

Now, work on cm³

1.54 mg/ cm³ x 1g/1000mg x 1 kg/ 1000g x 10³ cm/1dm³  = ?

= .00154 kg/dm³

To know more about unit conversion visit:

https://brainly.com/question/11543684

#SPJ9

Ilya and Anya each can run at a speed of 7.50 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.
- Find Anya's average speed. (express in miles per hour)
- How long does it take Ilya to cover the distance? (express in minutes)
- Now find Ilya's average speed. (express in miles per hour)

Answers

The correct answer is 54.6 min.

Running speed of Ilya and Anya is v_r=7.50 mi/hr

Walking speed of Ilya and Anya is v_w=3.50 mi/hr

Total length of the route is d=5.00 miles.

Total time taken by Anya to cover the distance is

[tex]t_A= d/2/v_r+ d/2/v_w[/tex]

[tex]t_A= d/2v_r + d/2v_w[/tex]

[tex]t_A=d/2 \times1/v_r +1/v_w[/tex]

[tex]t_A= d/2 \times v_r+v_w / v_rv_w[/tex]

[tex]t_A[/tex]= 5.00/2 × 7.50+3.50/7.50 × 3.50 hr

[tex]t_A[/tex]= 5.00/2 × 11/26.25 hr

[tex]t_A[/tex]= 55/52.5 hr

[tex]t_A[/tex]=1.05 hr

Therefore Anya will take 1.05 hr to cover the distance.

Average speed of Anya is

[tex]v_{avg} = d/t_A[/tex]

[tex]v_{avg}[/tex]= 5.00/1.05 mi/hr

[tex]v_{avg}[/tex] = 4.76 mi/hr

Therefore Anya's average speed is 4.76 mi/hr.

If total time taken by Ilya to cover the distance is t , then

([tex]v_r[/tex] × t/2+(v_w × t/2=d))

t/2 × ([tex]v_r+v_w[/tex])=d

t × ([tex]v_r+v_w[/tex])=2d

t = 2d/([tex]v_r+v_w[/tex])

t = 2 × 5.00/7.50+3.50

t = 10/11 hr

t = 0.91 × 60 min

t = 54.6 min

Therefore total time taken by Ilya to cover the distance is 54.6 min.

To learn more about average speed refer the link:

https://brainly.com/question/14782441

#SPJ9

Soil erosion is the wearing down of soil. This map provides data on the rate of soil erosion in the united states for a given year. What trend does the mad show? A. Soil erosion rates are high across the united states B. Soil erosion rates are low across the united states C. Siol erosion rates are uniform across the united states D. Soil erosion rates vary across the united states

Answers

Soil erosion is the wearing down of soil. The trend that the map shows is that soil erosion rates vary across the united states.

Hence, option (D) is correct.

What is Soil Erosion?

The removal of the top layer of soil by the action of wind, water, or human activities is known as soil erosion.Sometimes, soil erosion is good for the environment, especially in depositing fertile soil.Soil erosion is a geological action of moving soil.The areas with the highest agricultural activities have the highest rate of erosion.

As shown on the map, soil erosion vary across the United States.

Therefore, option (D) is correct.

Soil erosion is a slow method that happens while the impact of water or wind detaches and gets rid of soil particles, inflicting the soil to go to pot. Soil deterioration and low water excellent because of erosion and surface runoff have turn out to be intense troubles international.

To learn more about soil erosion, visit: https://brainly.com/question/159207

#SPJ9

When using
association to
store and
remember
information,
you are also
A. neural
networking
B. encoding
C. duplicating

Answers

When using association to store and remember information, you are also encoding.

When trying to store and remember information, the following stages take place in order:

EncodingStorageRetrieval

Storing a memory trace is called as encoding. Perception leaves representation in memory. It is the conversion of information for storage purposes.

Therefore, when using association to store and remember information, you are also encoding.

To know more about Associative memory

https://brainly.com/question/2602585

#SPJ1

How can you categorize the hazard in the hospitality industry?

Answers

Falls and Falling Objects.
Chemical Exposure.
Fire Hazards.
Electrical Hazards.
Repetitive Motion Injury.

A cheetah can run at a maximum speed
106 km/h and a gazelle can run at a maxi-
mum speed of 75.6 km/h.
If both animals are running at full speed,
with the gazelle 63.4 m ahead, how long before
the cheetah catches its prey?
Answer in units of s.

Answers

Answer:

Explanation:

We find the difference in speeds between the 2 animals

106 - 75.6 = 29.4 km/h

then we convert it to m/s by dividing it with 3.6

29.4 / 3.6 = 8.2 m/s

distance divided by speed equals time

63.4 / 8.2 = 7.7 seconds

Find the force exerted by a pressure of 40N/m² acting over an area of 0.0025 cm ​

Answers

Answer:

[tex]1.0*10^{-5} N[/tex]

Explanation:

To answer this question we can use the formula: [tex]P=\frac{F}{A}[/tex]

Pressure (Pascals) = Force (Newtons) divided by Area (Square Meters)

We are given pressure and area in the question and are trying to find force so we can rearrange the equation to suit our needs by multiplying both sides by Area:

[tex]P(A) = \frac{F}{A} (A)\\ \\F =PA[/tex]

The next step is to ensure all given information is in the correct units. Because we are given pressure in the units [tex]N/m^{2}[/tex], we need to convert 0.0025[tex]cm^{2}[/tex] into [tex]m^{2}[/tex].

There are 10,000 [tex]cm^{2}[/tex] in 1 [tex]m^{2}[/tex], therefore to convert between them, we need to divide 0.0025 by 10,000.

[tex]0.0025/10000 = 0.00000025m^{2}[/tex]

OR [tex]2.5*10^{-7} m^{2}[/tex]

Now we just need to multiply them together to get force:

[tex]F=PA\\F=40*2.5*10^{-7}\\F=1.0*10^{-5} N[/tex]

Hope this helped!

Polio is a disease that can cause paralysis. Doctors treated patients with casts and braces, but the work of Elizabeth Kenny led to the use of hot baths and exercise to treat polio victims. These patients had less incidence of paralysis. Kenny’s ideas and their acceptance were due to

Answers

Kenny’s ideas and their acceptance were due to open-mindedness because she led to the use of hot baths and exercise to treat polio victims.

Who was Elizabeth Kenny?

Elizabeth Kenny was a world-renowned nurse from Australia who develop a treatment for poliomyelitis, a very serious viral disease caused by poliovirus.

Elizabeth Kenny's ideas were controversial because they may be considered to be against conventional medical treatments.

In conclusion, Kenny’s ideas and their acceptance were due to open-mindedness because she led to the use of hot baths and exercise to treat polio victims.

Learn more about Elizabeth Kenny here:

https://brainly.com/question/10653494

#SPJ1

Consider the two vectors, A= 19.5x + 13.5y and B=3.4x - 4.5y.
What is the magnitude of the vector A - B?
What is the angle of the vector A - b, measured counterclockwise in degrees from the positive x-axis?
What is the magnitude of the vector 3A + B?
What is the angle of the vector 3A + B, measured counterclockwise in degrees from the positive x-axis?

Answers

The calculated angle is 305° and if v=a,b is the position vector, then |v|=a²+b² is the calculated magnitude.

If v=a,b is the position vector, then |v|=a²+b² will give the magnitude. Depending on the application, the direction is equal to the angle made with the x-axis or the y-axis. The formula tan=(ba)=tan1 determines the direction of a position vector (ba), We may say that the vector must be inclined in the fourth quadrant in this case because the vector's x and y components are both positive.

Consequently, the angle must be greater than 270 degrees and less than 360 degrees.

Now, in order to determine the value, we can say that

tanθ=opposite side/adjacent side

=8.6/6.1

=tan⁻¹1.41

=54.65, which indicates that it is inclined at an angle above with the X axis in the fourth quadrant (360-54.65 = 305.6°).

Consequently, the proper response will be 305° degrees if the angle is measured counterclockwise.

Learn more about vector here-

https://brainly.com/question/13322477

#SPJ4

A student drops a ball from the top of a 37-meter tall building. The ball leaves the student's hand with a zero speed. What is the speed of the ball at the moment just before it hits the ground?

Answers

Answer:

The ball accelerates because of gravity which is constant. So we can apply one of the equations of uniformly accelerated motion to solve the problem.

[tex]Vf^2=Vo^2+2aS\\[/tex] is compatible since [tex]S, Vo, a[/tex] are given enabling us to calculate [tex]Vf[/tex] .

[tex]Vf^2=(0m/s)^2+2*10m/s^2*37m\\Vf^2=20m/s^2*37m\\Vf^2=740m^2/s^2\\Vf=\sqrt{740} m/s\\ Vf=27.202941017 m/s\\[/tex]

A curve at a racetrack has a radius of 800 m and is banked at an angle of 7.0°. On a rainy day, the coefficient of friction between the cars' tires and the track is 0.50. What is the maximum speed at which a car could go around this curve without slipping?

Answers

The maximum speed at which a car could go around this curve without slipping is6.12m/s

To solve this it is necessary to take concepts related to Centripetal Force and Friction Force.

In the case of the centripetal force,

Fc = mv²/r      ....1

Where,

m=mass

v= velocity

r= Radius

In the case of the Force of Friction we have to,

F= [tex]\mu[/tex]mg      ......1.

Where,

[tex]\mu[/tex] = Friction Constant

m= mass

g= gravity

the centripetal equal to the friction force to stay on the road, in this way

mv²/r  = [tex]\mu[/tex]mg      

v² = mgr

v = √([tex]\mu[/tex]gr)

The coefficient of friction between the cars' tires and the track

 [tex]\mu[/tex] = 0.50

radius = 800m

g = 9.8 m/s²

using above values we get

v = [tex]\sqrt[]{800*9.8*0.5}[/tex]

V = 6.12m/s

The maximum speed at which a car could go around this curve without slipping is6.12m/s

To know more about coefficient of friction

https://brainly.com/question/13932862

#SPJ1

Velocity in x direction
Initial velocity in y direction

Answers

Answer: Vx= 86.6 m/s & Vy= 50 m/s

Explanation:

Vx= 100*cos30° = 86.6 m/s

Vy= 100*sin30° = 50 m/s

Other Questions
When iron is placed in nitrogen no occurs As pas el hecho entre ellos aquella noche, que nunca ella habl, mas haca lo que l le mandaba. Y desque hubieron dormido una pieza, djole l:Con esta saa que hube esta noche no pude bien dormir. Catad que no me despierte cras ninguno; y tenedme bien adobado de comer.Cuando fue gran maana, los padres y las madres y parientes llegaron a la puerta; y porque no hablaba ninguno, cuidaron que el novio estaba muerto o herido y desque vieron por entre las puertas a la novia y no al novio, cuidronlo ms. Cuando ella los vio a la puerta lleg muy paso y con gran miedo, y comenzles a decir:Locos, traidores! Qu hacis y cmo osis llegar a la puerta ni hablar? Callad! Si no, tambin vos como yo, todos somos muertos.Y cuando todos esto oyeron, fueron maravillados, y desque supieron cmo pasaran aquella noche, apreciaron mucho al mancebo porque as supiera hacer lo que le cumpla y castigar tan bien su casa. Y de aquel da adelante, fue aquella su mujer muy bien mandada y hubieron muy buena vida.Y dende a pocos das, su suegro quiso hacer as como hiciera su yerno; y por aquella manera mat un gallo. Y djole a su mujer:A la fe, don Fuln, tarde os acordasteis ca ya no os valdra nada si mataseis cien caballos: que antes lo hubierais a comenzar, que ya bien nos conocemos.Y vos, seor conde, si aquel vuestro criado quiere casar con tal mujer, si fuere l tal como aquel mancebo, aconsejadle que case seguramente, ca l sabr cmo pase en su casa; mas si no fuere tal que entienda lo que debe hacer y lo que le cumple, dejadle pase su ventura. Y an aconsjoos que con todos los hombres que algo habis a hacer, que siempre les deis a entender en cul manera han de pasar convusco.El conde tuvo ste por buen consejo, e hzolo as, y hallse ende bien.Y porque don Juan lo tuvo por buen ejemplo, hzolo escribir en este libro, e hizo estos versos que dicen as:Si al comienzo no muestras quin eres,nunca podrs despus cuando quisieres.Don Juan ManuelExemplo XXXV: De lo que aconteci a un mancebo que cas con una mujer muy fuerte y muy bravaAbriendo puertasEvanston: McDougal Littell, 2003.QuestionCul es el propsito principal del cuento?ResponsesProponer una enseanza moralProponer una enseanza moralDespertar compasin por los animalesDespertar compasin por los animalesCriticar el sistema socialCriticar el sistema socialAnalizar un problema de gnero What is the difference between q and Q in physics? Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form. Como se sintio Gladys despues de la operation? Question 3A piece of metal with a mass of 15.45 g is added to 21.27 mL of water in agraduated cylinder. The water level rises to 24.78 mL. The density of the metalisg/mL.Hint: You need to apply the significant figure rule for subtraction first; then applythe significant figure rule for division. Do not round until the end!Enter your answer as number without a unit. in infant's Tylenol, 5 ml contains 160 mg of Acetaminophen. If you child's pediatrician says that your child can take 48 mg of Acetaminophen, how many milliliters (ml) should you give the child? Approximate when the function is positive, negative, increasing, or decreasing. What are 2 sixths in the lowest term 5. Which is the BEST revision of the fragment below? (1 point) The doctor was an expert in medicine. In surgery as well. The doctor was an expert in medicine and surgery. In surgery as well as medicine. The doctor was an expert. OExpert in surgery and medicine, the doctor. You will write two paragraphs about the theme of a literary text from this unit and how it develops as well as the way the elements of the text interact, impact, and shape one another.In the first paragraph, name a theme of Paul Laurence Dunbar's poem "Sympathy," and explain how it develops, citing specific examples from the text to support your answer.In the second paragraph, describe the ways in which various elementssuch as the language, the setting, the speaker, and the events describedinteract and affect one another. Read the following sentence:kicks off her shoes and runs across the beach and into the breaking waves.Choose the word or words that make the sentence coherent.O SheO The girlsO John and MaryO You raphael's the school of athens provides the viewer with the illusion of the three-dimensional world on a two-dimensional surface by the use of Tony walks at an average speed of 70m/min from his house to school. if the distance between his home and the school is 2100 m, how much time does it take for tony to walk to school? AFRICA | COUNTRIES341112131414202124252027283031323334M31404143+313840394937323352 (341935 36252651282729 3018312220223 211616101121317s3 write code that combines the following variables so that the sentence "you are doing a great job, keep it up!" is assigned to the variable message. do not edit the values assigned to by, az, io, or qy. Answer the following questions in your own words. [tex] \\ \\ [/tex]1. What is the difference between tools and equipment? 2. Describe the word paraphernalia. 11. Find the solution of the following system of equations using substitution:2x + 7y = 5y = x + 2 A jewelry maker incurs costs for a necklace according to the equation shown below.C(x) = 30x + 1692The revenue function for the necklaces is given below.R(x) = 77xHow many necklaces must be sold to break even?necklaces In the figure below, m44 = 79. Find m1, m2, and m 3