Answer:
The correct option is;
a. 107 m, 10.1°, east of south
Explanation:
The given question can be answered using vectors as follows;
The initial displacement south by Bradley = 65.0 meters
In vector form, we have
The initial displacement south by Bradley = -65·j
The displacement 25.0° east of south = 44.0 meters
In vector form, we have
The displacement 25.0° east of south = 44 × sin(25°)·i - 44 × cos(25°)·j
In vector, form, we have;
The total displacement = The sum of the vectors of the two displacement
∴ The total displacement = -65·j + 44 × sin(25°)·i - 44 × cos(25°)·j
The total displacement = 44 × sin(25°)·i - (44 × cos(25°) + 65)·j
We use the i and j components to find the magnitude and the direction of the total displacement as follows;
The magnitude of the total displacement = √((44 × sin(25°))² + (44 × cos(25°) + 65)²) = 106.5132881 ≈ 107
The magnitude of the total displacement ≈ 107 m
The direction of the total displacement = arctan((44 × sin(25°))/((44 × cos(25°) + 65)) = 10.0542797419° ≈ 10.1° east of south
What is S.I units?
Answer:
Explanation:
he SI rests on a foundation of seven (7) defining constants: the cesium hyperfine splitting frequency, the speed of light in vacuum, the Planck constant, the elementary charge (i.e. the charge on a proton), the Boltzmann constant, the Avogadro constant, and the luminous efficacy of a specified monochromatic source. Definitions of all seven (7) SI base units are expressed using an explicit-constant formulation and experimentally realized using a specific mises en pratique (practical technique).
The seven SI base units, which are comprised of:
Length - meter (m)
Time - second (s)
Amount of substance - mole (mole)
Electric current - ampere (A)
Temperature - kelvin (K)
Luminous intensity - candela (cd)
Mass - kilogram (kg)
The International System of Units (SI), commonly known as the metric system, is the international standard for measurement. The International Treaty of the Meter was signed in Paris on May 20, 1875 by seventeen countries, including the United States and is now celebrated around the globe as World Metrology Day. NIST provides official U.S. representation in the various international bodies established by the Meter Convention: CGPM - General Conference on Weights and Measures; CIPM - International Committee for Weights and Measures; and BIPM - The International Bureau of Weights and Measures.
The SI is made up of 7 base units that define the 22 derived units with special names and symbols. The SI plays an essential role in international commerce and is commonly used in scientific and technological research and development. Learn more about the SI in NIST SP 330 and SP 811.
Resources for Students and Teachers
Redefining the SI – In November 2018, the world’s measurement experts voted and unanimously approved a revision of the SI that establishes a measurement system entirely based on physical constants of nature. The changes became effective on World Metrology Day, May 20, 2019. (NIST)
Learn more about the Road to the Revised SI. Learn more about the SI Redefinition.(NIST)
The Last Artifact documentary and companion Grade 5 to 12 educational resources, which document the work that went on behind the scenes to modernize the International System of Units (SI). (Montana PBS)
NIST SP 1247 SI Base Units Relationships Poster – a colorful poster illustrating the relationships of the International System of Units (SI) derived units with special names and symbols and the seven traditional base units. (NIST)
Metric Trivia Quiz – How much do you know about the metric system (SI)? Try the NIST Metric Trivia Quiz online or use the Alexa skill to test your knowledge and be on your way to thinking metric! (NIST)
SI Education and Training – Explore NIST metric system education resources that build SI measurement system familiarity and fluency. (NIST)
Kids Education Resources. (NIST)
Busting Myths about the Metric System. (NIST Taking Measure Blog)
Resources
Becoming Familiar with SI
Everyday Estimation
Metrication FAQs
Prefixes
SI Publications
Understanding Metric
Writing with Metric Units
Answer:
International System of Units??
Define relative motion??
Answer:
The laws of physics which apply when you are at rest on the earth also apply when you are in any reference frame which is moving at a constant velocity with respect to the earth. For example, you can toss and catch a ball in a moving bus if the motion is in a straight line at constant speed.
Explanation:
20 n west and 60 n east
BLANK 1: What is the net force acting on the object
BLANK 2: Which direction will the object move
Answer:
a) [tex] F_{T} = 40 N [/tex]
b) The object will move in the east direction
Explanation:
a) The net force is given by the vector sum of the given forces:
[tex] F_{T} = F_{1} + F_{2} [/tex]
Where:
F₁ = the west force = 20 N
F₂ = the est force = 60 N
Taking the east direction as the positive direction we have:
[tex] F_{T} = -20 N + 60 N = 40 N [/tex]
Hence, the net force is 40 N.
b) Since the east force is greater than the west force, the object will move to the east.
I hope it helps you!
A cyclist accelerates from a velocity of 10 miles/hour east until reaching a velocity of 20 miles/hour east in 5 seconds. What was the cyclist's acceleration?
Answer:
[tex]a = 0.894\ m/s^2[/tex]
Explanation:
Motion with Constant Acceleration
A body moves with constant acceleration when the speed changes uniformly in time. The equation used to find the final speed vf is
[tex]v_f=v_o+at[/tex]
Where vo is the initial speed, a is the acceleration, and t is the time.
The cyclist has an initial speed of vo=10 miles/hour and ends up at vf=20 miles/hour in t=5 seconds.
Both speeds are given in miles/hour and we must convert it to m/s:
1 mile/hour = 0.44704 m/s
10 mile/hour = 4.47 m/s
20 mile/hour = 8.94 m/s
The acceleration is calculated by solving for a:
[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]
[tex]\displaystyle a=\frac{8.94-4.47}{5}[/tex]
[tex]a = 0.894\ m/s^2[/tex]
Uses of lens and mirror in daily life
Answer:
Decorating. Because mirrors reflect light, they create an illusion of open space by doubling whatever is in a room. ...
Safety. People use mirrors and lenses for safety. ...
Vision. Eye doctors use lenses to correct vision. ...
Magnification and Science. ...
Energy and Affirmation Techniques. ...
Photography. ...
A surface has the area vector A = (10i + 8j) m2. Find the flux of a uniform electric field through the area if the field is E = 7i N/C
Answer:
The value is [tex]\phi = 70 N\dot m^2 / C[/tex]
Explanation:
From the question we are told that
The area vector is [tex]\vec A = (10i + 8j) \ m^2[/tex]
The electric field is [tex]E = 7 i \ N/C[/tex]
Generally the flux is mathematically represented as
[tex]\phi = \vec E * \vec A[/tex]
=> [tex]\phi = 7i * ( 10 \ i + 8 \ j )[/tex]
=> [tex]\phi = (7 * 10 )\ i[/tex]
Note [tex]i \cdot j = 0[/tex]
=> [tex]\phi = 70 N\dot m^2 / C[/tex]
All of the following are types of models EXCEPT
O a theory.
Dan analogy.
Oa physical replica.
O a mathematical representation.
Answer:
A theory
Explanation:
No, the person who answered above is incorrect. I just took the assessment and I can guarantee you the answer is "a theory".
-Lexi
Calculate the pressure in pascals if a 650N force is applied to an area of 6.5m².
Answer:
100 Pa
Explanation:
650 ÷ 6.5 = 100 ( Pa )
[tex]\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}[/tex]
[tex]\\ \sf\longmapsto Pressure=\dfrac{650}{6.5}[/tex]
[tex]\\ \sf\longmapsto Pressure=100Pa[/tex]
A man is standing on the edge of a 20.0 m high cliff. He throws a rock horizontally with an initial velocity of 10.0 m/s. How long does it take to reach the ground? How far does the rock land from the base of the cliff?
Answer:
d = 20.2 m
t = 2.02 s
Explanation:
Horizontal Motion
When an object is thrown horizontally with a speed v from a height h, it describes a curved path ruled by gravity until it hits the ground.
To calculate the time the object takes to hit the ground, we use the equation:
[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]
Note the time does not depend on the initial speed.
The range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v.t[/tex]
The man standing on the edge of the h=20 m cliff throws a rock with a horizontal speed of v=10 m/s.
The time taken by the rock to reach the ground is:
[tex]\displaystyle t=\sqrt{\frac{2*20}{9.8}}[/tex]
[tex]\displaystyle t=\sqrt{4.0816}[/tex]
t = 2.02 s
Now for the horizontal range:
[tex]\displaystyle d=10\cdot 2.02[/tex]
d = 20.2 m
A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.5 m>s. Two seconds later the bicyclist hops on his bike and accelerates at 2.4 m>s2 until he catches his friend. (a) How much time does it take until he catches his friend
Answer:
4.28 s
Explanation:
after two seconds (2 s) His friends is
d = 3.5 m/s x 2 s = 7 meter ahead.
in this state, a bicylist start from initial velocity vo = 0 m/s and accelerat 2.4 m/s²
then, when bicylist reach his friend
t friend = t bicyclist = t
d bicylist = d friend + d
-------
d friend = 3.5 . t
d bicylist = vo . t + ½ a t²
d friend + d = vo . t + ½ a t²
3.5 t + 7 = 0 . t + ½ . 2.4 . t²
3.5 t + 7 = 1.2 t²
0 = 1.2 t² - 3.5 t - 7
t = -1.363 and t = 4.28
take the positive one
audeze oriented physics professor drives 3.25 km North than 4.75 km west and then 15 km South find the magnitude and direction of the resultant vector
Answer:
first lets do the anti parralel part of forces
we get 18. 25-15 =3.25 to north
then ww use phytagores theorem
3.25^2+4.75^2=c(resultant )
10.56+22.56=33.12
square root of 33.12 is 5.75
What does the slope on a velocity-time graph measure?
Answer:The slope in the velocity-time graph represents the acceleration. The slope is defined as the ratio of change in y-axis to change in the x-axis. The slope is represented by the letter m and following is the general formula used for determining the slope:
Explanation:
How does an increase in thermal energy affect the particle motion in each state of matter?
Answer:
Explanation:
A rise in temperature increases the kinetic energy and speed of particles; it does not weaken the forces between them. The particles in solids vibrate about fixed positions; even at very low temperatures. Individual particles in liquids and gases have no fixed positions and move chaotically.
A truck weighs 500 N on Earth. What's the mass of the truck?
O 5 Kg
O 50 Kg
500 kg
500 N
PLEASE HURRY
Answer:
Solution given:
Wight [W]=500N
gravity [g]=10m/s²
mass[m]=?
we have
W=mg
500=m*10
m=500/10
m=50kg
the mass of the truck is 50kg.
A person who normally weighs 700 N is riding in an elevator that is moving upward but slowing down at a steady rate. If this person is standing on a bathroom scale inside the elevator, what would the scale read?
Answer:
The scale will read less than 700 N
Explanation:
Given;
normal weight of the person, W = 700 N
The upward acceleration of the elevator is given by Newton's second law of motion;
F = ma
Also, the weight of the person, W = mg
Net force on the person when the elevator accelerates upward is given as;
R = ma + mg
When the elevator slows down at a steady rate, then net force on the person is given as;
R = mg - ma
R = m(g - a), this net force on the person is also the reading of the scale.
Thus, the scale will read less than 700 N.
Answer: The answer is less than 700 N
A student kicks a ball of 1 kg with a velocity of 13ms. The contact is 0.2 sec. Find the force
Answer:
65 N
Explanation:
Assuming that the ball was at rest hence initial momentum = 0
Final momentum = mv = 1Kg × 13 ms-1 = 13 kgms-1
But
Ft= mv according to Newton's law
F= mv/t
F= 13kgms-1/0.2s
F= 65 N
Answer:
65 N
Explanation:
Given that :
Mass of ball = 1kg
Velocity = 13m/s
Time = 2 seconds
Using the relation :
Force = (mass * change in velocity) / time
The change in momentum of the ball :
Momentum = mass * change in velocity
Velocity change = (13 - 0) ; Given that initial velocity = 0 (at rest)
Momentum = 1kg * 13m/s
Momentum = 13 kgm/s
Therefore, the force, F equals;
F = change in momentum / time
F = 13kgm/s ÷ 0.2 s
Hence, Force, F = 65N
A car is traveling at an average speed of 120km/h.how long will it take to travel between two station 525km apart?
Answer:
Time taken 4 hrs. 38 minutes
Explanation:
As speed = distance/time interval
So time taken = 4.38
speed=distance/time
we know the speed and we know the distance so we can calculate the time
120km/h=525km/time
time=525km/120km/h=4.375hours or 4 hours and 22 minutes and 30 seconds
a group of interacting parts that move or work together
Answer:
A system is a group of interrelated interacting, or interdependent parts that for a complex whole. A system is a group of interrelated interacting, or interdependent parts that for a complex whole.
Explanation: Hope this helps ;)
The product of an object's mass and its velocity.
A.Momentum
B.Force
C.Velocity
D.Speed
Suppose the green car was traveling at 0 miles the white car was traveling at 70 miles at the red car was trailing at 22 miles which car is covering the most distance every second?
Answer:
The white car will cover the most distance every second.
Explanation:
The formula for the uniform speed of an object is given as follows:
[tex]s = vt[/tex]
where,
s = distance covered by the object
v = speed of the object
t = time required
Now, if we assume time to be constant at 1 s. Then the distance covered by each car will be directly proportional to the speed of the car. Hence, the car with the greatest speed will travel the greatest distance in 1 second.
We, have:
Speed of white car > Speed of red car > Speed of green car
Therefore, the white car will cover the most distance every second.
El motor de una licuadora gira a 3600 rpm, disminuye su velocidad angular hasta 2000 rpm realizando 120 vueltas. Calcular: a) La aceleración angular b) El tiempo transcurrido
Answer:
a) α = -65,2 rad/s².
b) t = 2,57 s.
Explanation:
a) La aceleración angular se puede calcular usando la siguiente ecuación:
[tex] \omega_{f}^{2} = \omega_{0}^{2} + 2\alpha \theta [/tex]
En donde:
[tex]\omega_{f}[/tex]: es la velocidad angular final = 2000 rpm = 209,4 rad/s
[tex]\omega_{0}[/tex]: es la velocidad angular inicial = 3600 rpm = 377,0 rad/s
α: es la aceleración angular=?
θ: es el desplazamiento o número de vueltas = 120 rev = 754,0 rad
Las conversiones de unidades se hicieron sabiendo que 1 revolución = 2π radianes y que 1 minuto = 60 segundos.
Resolviendo la ecuación (1) para α, tenemos:
[tex]\alpha = \frac{\omega_{f}^{2} - \omega_{0}^{2}}{2\theta} = \frac{(209,4 rad/s)^{2} - (377,0 rad/s)^{2}}{2*754,0 rad} = -65,2 rad/s^{2}[/tex]
Entonces, la aceleración angular es -65,2 rad/s². El signo negativo se debe a que el motor está desacelerando.
b) El tiempo transcurrido se puede encontrar como sigue:
[tex] \omega_{f} = \omega_{0} + \alpha t [/tex]
Resolviendo para t, tenemos:
[tex]t = \frac{\omega_{f} - \omega_{0}}{\alpha} = \frac{209,4 rad/s - 377,0 rad/s}{-65,3 rad/s^{2}} = 2,57 s[/tex]
Por lo tanto, el tiempo transcurrido fue 2,57 s.
Espero que te sea de utilidad!
define relative velocity
What force is required to give an object with mass 50 kg an acceleration of 8 m/s2 O A. 6.25 N O B. 58 N O C, 400 N O D, 250 N
Answer:
C, 400 N
Explanation:
Given parameters:
Mass of object = 50kg
Acceleration = 8m/s²
Unknown:
Amount of force = ?
Solution:
According to Newton's second law of motion;
Force = m a
m is the mass
a is the acceleration
Now insert the parameters and solve;
Force = 50 x 8 = 400N
Find the acceleration if the force is 10,000 N and the mass is 500 kg.
Answer:
20m/s²
Explanation:
Given parameters:
Force = 10000N
Mass = 500kg
Unknown:
Acceleration = ?
Solution:
According to Newton's second law of motion:
Force = mass x acceleration
Mass is the amount of matter in a substance
Acceleration is the rate of change of velocity with time
Now insert the parameters and solve;
10000 = 500 x acceleration
Acceleration = 20m/s²
A metal has 4000kg in the volume of 2m3. what is its density
Answer:
2000 kg/m³Explanation:
The density of a substance can be found by using the formula
[tex]density = \frac{mass}{volume} \\[/tex]
From the question we have
[tex]density = \frac{4000}{2} = 2000 \\ [/tex]
We have the final answer as
2000 kg/m³Hope this helps you
If you drive your 1,000 kg car from sea level up to the mountain, which is 366 m above sea level, how much will you have increased your car's potential energy?(consider : g=10m/s2) *
1 point
a) 366,000 J
b) 3,660,000 J
c) 2.73 J
d) 20.73 J
Answer:
Option B. 3660000 J
Explanation:
At the sea level, we'll assume that the height is 0 m. Hence, the potential energy at the sea level is zero.
Next, we shall determine the potential energy at a height of 366 m above the sea level. This can be obtained as follow:
Mass (m) = 1000 kg
Acceleration due to gravity (g) = 10 m/s²
Height (h) = 366 m
Potential energy (PE) =?
PE = mgh
PE = 1000 × 10 × 366
PE = 3660000 J
From the calculations made above, we can see clearly that the potential energy of the car at a height of 366 m above sea level is 3660000 J.
Hence, the potential energy of the car increases from 0 at the sea level to 3660000 J at 366 m above the sea level.
What do atoms of elements in a group have that makes their properties similar? A. the same atomic mass
B. the same number of protons
C. the same number of outer level electrons
D. the same total number of electrons
1. Explain why a piece of white paper looks green when viewed through a piece of green plastic?
Answer:
because the light is refracted and slowed down to make us see the color "green" and the things we see..like paper..the color "green" A white sheet of paper reflects almost all the light that falls on it. It reflects white light because it can reflect all the colors of the spectrum that comprise white light. If red light only is shone onto a white page, the red light is reflected. If the green light is shone onto the page, the green light is reflected.
Explanation:
hope this helps?
Answer:
the wave length that are reflected determine the color that an object appears to the human eye. for example,the leaves appear green because they reflect green light and absorb light of other wavelengths.This means that the light passes through the material rather than being reflected by it.
Explanation:
True of False, in physics the term weight and force of gravity have the
same meaning?"
Help with both questions please.
Answer:
1) True
2) None of the above
Explanation:
Q # 1:
Weight is actually the gravitational force or force of gravity. So, it's true.
Q # 2:
None of above because force of gravity can not be negative. In order to have a negative weight, the body has to be "repelled" by gravity.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807In the middle of a turn, you should _____________________. A. brake hard to maintain complete control over your vehicle B. accelerate abruptly and straighten the wheel C. avoid using your brake or clutch, unless it is necessary to do so in order to avoid a collision D. downshift to allow you to turn more sharply
Answer:
D. Downshift to allow you to turn more sharply
D. downshift to allow you to turn more sharply
What is the purpose of downshifting?The purpose of "downshifting", or shifting the transmission down from a higher gear to a lower gear, is so that a driver can accelerate their car as fast as possible when exiting a corner that they had to slow down for.
The reason for ensuring your downshift is completed before turning into the corner is because letting the clutch out and engaging a lower gear while turning can cause the car to spin.
Two special conditions where you should downshift
Before Starting Down a Hill.
Slow down and shift down to a speed that you can control without using the brakes hard. Otherwise the brakes can overheat and lose their braking power.
Before Entering a Curve.
Slow down to a safe speed, and downshift to the right gear before entering the curve. This lets you use some power through the curve to help the vehicle be more stable while turning. It also allows you speed up as soon as you are out of the curve.
Therefore,
In the middle of a turn, you should downshift to allow you to turn more sharply .
Learn more about Downshift here:
https://brainly.com/question/10600958
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