The resultant vector of 1. 130N and 2. 155 N respectively.
A resultant vector is described as a single vector that produces the identical effect as is produced through a number of vectors collectively.
1. 100 N, 37° east of north + 100 N 60°North -west
Let Force₁ = 100 N sin37°
= 100 N × 4/5
= 80 N North
Force₂ = 100 N cos 60°
= 100 N × 1/2
= 50 N
Now, the angle between F₁ and F₂ is 0
Resultant force = [tex]\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}[/tex]
= [tex]\sqrt{(80)^{2} +(50)^{2}+2*80*50}[/tex]
= [tex]\sqrt{6400+2500+8000}[/tex]
= [tex]\sqrt{16900}[/tex]
= 130N
2. 100N, 37° west of north + 50N,53° east of north
Force₁ = 100N, 37° west of north
=100N cos 37°
= 100N × 5/4
= 125 N north
Force₂ = 50N,53° east of north
= 50N cos 53°
= 50N × 3/5
= 30N
The angle between F₁ and F₂ is 0°
Resultant force = [tex]\sqrt {F₁^{2} +\sqrt F₂^{2} + 2abcos°}[/tex]
= [tex]\sqrt{(125)^{2} +(30)^{2}+2*125*30}[/tex]
= [tex]\sqrt{15625+900+7500}[/tex]
= [tex]\sqrt{24025}[/tex]
= 155 N
Learn more about vectors here:-https://brainly.com/question/25705666
#SPJ1
a driver traveling at 72 km/h sees a chicken dash out onto the road and slams on the brakes. accelerating at -10 m/s2, the car stops just in time 35 m down the road. what was the driver's reaction time
The driver's reaction time during uniform motion is 1 second or 3 second.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
vo = 72 km/h = 20 m/s
vt = 0 m/s
a = -10 m/s²
sactual = 35 m
Find the instant distance without reacting
vt² = vo² + 2a . s
0² = 20² - 20s
s = 20 m
Find the reaction distance
sreact = sactual - s
sreact = 35 - 20
sreact = 15 m
Find the time reaction
sreact = vo . t + 1/2 . a . t²
15 = 20t - 5t²
t² - 4t +3 = 0
(t - 3)(t - 1) = 0
t = 3 s or t = 1 s
Find more on uniform motion at: https://brainly.com/question/28040370
#SPJ4
(c) The man lifts his suitcase.
The increase in gravitational potential energy of the suitcase is 264 J.
The mass of the suitcase is 12 kg.
Calculate the vertical height the suitcase is raised.
(gravitational field strength, g = 10 N/kg)
Use the equation:
change in
gravitational
nslą juoy ritiw qlent of magsib s web Vem UOY
or
potential energy = mass x g x change in vertical height
gwoq ort
enqma bns elsluolso of beay ed nso ezerli word bns exist bluorie atnabuta arit atramenvasen terw ns19
12+10+
boritem emsa edt eau taum zaslo aloriw ariT
atripiew pniau boritem s 10 aqeta gniau bortiem & eau veriferijeriw ablaeb faum aslo od
22slo ertt ni inebuta rose to tugtuo 1ewoq eril etapilzevni etnobute to zaslo A
anoitaeu
(e)
(2)
height raised =
m
(Total for question = 4 marks)
Answer:
sleep well
bukas nalng yan kakapagod ehh
What is the induced emf in a single loop of wire when the magnetic flux is changed from 0.850 T.m^2 to 0.110 T.m^2. the time required for this change flux is 0.5s
The induced emf in a single loop of wire -1.48 V.
Induced EMF is the exchange in capability difference due to a change within the magnetic flux of a coil, while modern-day is the drift of electrons thru a conductor in a closed circuit.
ε = | N ΔФ/ Δt | = N |Ф₂ - Ф₁ / Δt |
ε = induced emf
N = number of loop, given, 1
Ф₂ = final magnetic flux, given, 0.110 Tm²
Ф₁ = initial magnetic flux , given, 0.850 Tm²
Δt = change in time , given, 0.5s
Put these values in formula, ε = | N ΔФ/ Δt | = N |Ф₂ - Ф₁ / Δt |
ε = - 0.740/0.5
ε = -1.48 V
Hence, the induced emf in a single loop of wire -1.48 V.
An emf is induced inside the coil whilst a bar magnet is pushed inside and out of it. Emfs of opposite symptoms are produced through movement in opposite instructions, and the emfs are also reversed by using reversing poles. The same outcomes are produced if the coil is moved instead of the magnet it's miles the relative movement this is crucial.
An emf is produced whenever the magnetic flux is modified in a closed circuit. This emf is referred to as the brought about emf, and the cutting-edge that flows inside the closed circuit is called the induced current.
Learn more about induced emf here:- https://brainly.com/question/17329842
#SPJ1
A 2 kg blob of putty moving at 4 m/s slams into a 6 kg blob of putty at rest. What is the speed of the two stuck together blobs immediately after colliding.
From the conservation of linear momentum, the common speed in which the two will move together immediately after colliding is 1.33 m/s
What is Conservation of Linear Momentum ?Conservation of Linear Momentum state that the sum of the momentum before collision is the same as the sum of the momentum after collision.
Given that a 2 kg blob of putty moving at 4 m/s slams into a 6 kg blob of putty at rest.
M1 = 2 kgU1 = 4 m/sM2 = 6 KgU2 = 0The common speed V of the two stuck together blobs immediately after colliding can be calculated by using the formula
M1U1 + M2U2 = (M1 + M2)V
(2 × 4) + 0 = (2 + 4) V
8 = 6V
V = 8/6
V = 1.33 m/s
Therefore, the common speed of the two stuck together blobs immediately after colliding is 1.33 m/s
Learn more about Momentum here: https://brainly.com/question/25121535
#SPJ1
when the protostar has the following temperatures, what is its luminosity? what is the radius of a protostar with these temperatures and luminosities compared to the radius of the sun? what is happening to the protostar at 200 k? what is happening to the protostar at 1000 k?
The first stage in the evolution of stars is the protostellar phase. It lasts roughly 500,000 years for a low-mass star (sun-mass or less).
When a star is still gaining mass from its parent molecular cloud, it is referred to as a protostar. The first stage in the evolution of stars is the protostellar phase. It lasts roughly 500,000 years for a low-mass star (sun-mass or less). A molecular cloud fragment first experiences self-gravity-induced collapse before entering the phase, where an opaque, pressure-supported core develops inside the fragment. It comes to an end when the gas that is descending outruns it, leaving a pre-main-sequence star that subsequently contracts to become a main-sequence star at the start of hydrogen fusion that produces helium. Since the protostar is still contracting, its diameter and surface area are extremely large, and its luminosity may be approximately 100 times greater than when it is fully formed.
Learn more about Protostellar here:
https://brainly.com/question/9299884
#SPJ4
The half-life of thorium-227 is 19 days. How many days are required for 75% of a sample to decay?
The amount of time needed for a radioactively decaying substance to drop to half its initial amount is known as the half-life. 75% of the sample of thorium-227 decays in 38 days.
What is half-life ?The half-life, in radioactivity, is the amount of time needed for half of the atomic nuclei in a radioactive sample to spontaneously transform into other nuclear species while emitting particles and energy, or, alternatively, the amount of time needed for the radioactive sample to disintegrate on average once every second.
Briefing:Calculate the number of half lives that must elapse to obtain amount needed. Let x the no. of half life that elapse
Amount of thorium-227 remaining =
Original amount of thorium 227*1/2 for each half-life
1/4 = 1*1/2x
x = 2
The no. of days are required by multiplying the half-life with the number of half-lives elapsed:
19/1 half-life*number of half-life = total days
19/1*2 = 38 days
To know more about Half-life visit:
https://brainly.com/question/16387602
#SPJ10
Decide whether each statement is right or wrong.
Simple machines put out more
work than people put in.
All simple machines are designed
to multiply force
A machine with a mechanical
advantage greater than 1
multiplies force.
A machine with a mechanical
advantage less than 1
multiplies distance.
All the statements given about simple machine and mechanical advantage are right.
What is simple machine?
A simple machine is any device that makes work faster and easier. A simple machine can also be defined as any device that allows effort to be applied at one end to overcome load at another end.
Thus, simple machines put out more work than people put in. (true)
Simple machines are designed to reduce applied force on an object by multiplying the input force.
Mechanical advantage is a factor of the simple machine that multiplies force.
M.A = output force / input force
When a machine with a mechanical advantage greater than 1 it multiplies force.
Also, when a machine with a mechanical advantage less than 1 it multiplies distance.
Learn more about mechanical advantage here: https://brainly.com/question/25984831
#SPJ1
Please Help me with this question as soon as possible.
Answer:
......................
4
What percentage of the chemical fuel energy used by
the car described in question 3 will eventually end up
as thermal energy?
The useful energy of 17KJ is left for moving the car.
The input energy=85KJ
The wasted energy=68KJ
The work energy=?
We know,
input energy= wasted energy + work energy
85=68+work energy
85-68=work energy
17=work energy
∴ work energy = 17KJ
To know more about thermal energy visit:
https://brainly.com/question/19666326
#SPJ9
You discover a piece of jewelry that you think might be made of silver. You place the item on a balance and determine that it has a mass of 12.2 grams. It displaces 1.9 cm 3 of water when placed in a graduated cylinder. Is this item made of pure silver? Show your work.
The item can not be made of silver because its density is less than that of pure silver.
What is density?One of the most important properties of a substance is the density of the substance. The term density is defined as the ratio of the mass to the volume of the object. Note that density of an object is one of the intrinsic properties of the substance hence it could be used in the identification of the substance. This is hw we shall now identify the substance
As such, we here have an object that we have been told is made of silver. We must now compute the density of the object from the given data and compare with the density of silver available from literature.
The density of the object is; 12.2 grams/1.9 cm 3 = 6.42 g/cm^3. The density of silver is 10.49 g/cm³ hence the object is not silver.
Learn more about density:https://brainly.com/question/15164682
#SPJ1
An object has a mass of 35 kg, and it's pulled to the left by F₁ = 20.0
N, and to the right by F2= 30.0 N along the same line of action of force.
What would be the acceleration?
Force.
A force is an influence that has the power to alter an object's motion. A massed object's velocity can be changed or accelerated by a force. A force is a vector quantity since it has both magnitude and direction.
The mass of a physical body is a measure of its entire makeup. It also measures inertia, or the body's resistance to acceleration when a net force is applied. The strength of a body's gravitational pull on other bodies is also influenced by its mass. Kg is used as the fundamental mass unit.
Acceleration is the rate at which the velocity of an object modifies with respect to time. The direction of the net force acting on an object determines its acceleration.
As we know,
Force = mass x acceleration
Therefore, acceleration = force / mass
= {(35 / 30) - (35 / 20)} kgN
= 0.583 kgN towards right
To know more about acceleration and forces, click on the link below:
https://brainly.com/question/460763
#SPJ9
a worker drags a crate across a factory floor by pulling on a rope tied to the crate. the worker exerts a force of 450 n on the rope, which is inclined at 38° to the horizontal, and the floor exerts a horizontal force of 125 n that opposes the motion.
The magnitude of the acceleration when the crate's mass is 310 kg is 0.74 m/s² and the acceleration when the crate's weight is 310 N is 7.3 m/s².
What is acceleration?
The rate at which an item changes its velocity both in magnitude and direction is known as acceleration, a vector quantity. If an object's velocity is changing, it is accelerating.
Although the full specification of force,
[tex]F_{nett} = ma[/tex] where, m = mass, a = acceleration
This situation involves both x and y axes, only the x-application is needed to find what this particular problem asks for.
We note that acceleration in y axis is 0 so, we can denote acceleration in x axis simply as a. We choose +x to the right and +y up.
Let's calculate the x component of the force working on the crate:
[tex]F_x = F cos38^0[/tex]
putting values from question, we get
Fx = 355 N
and the resistive force have magnitude (f) = 125 N
(a) As per the Newton's second law
Fx - f = ma
355 - 125 = 310 a
(acceleration) a = 0.74 m/s²
(b) In this case, By the equation:
mass = weight/gravitational acceleration
we get mass(m') = 310/9.8 = 31.6 kg
Now, by Newton's second law
Fx - f = m' a
355 - 125 = 31.6 a
(acceleration) a = 7.3 m/s²
To know more about acceleration, go to link
https://brainly.com/question/460763
#SPJ9
Complete question
A worker drags a crate across a factory floor by pulling on a rope tied to the crate. The worker exerts a force of magnitude 450 N on the rope, which is inclined at an upward angle 38° to the horizontal, and the floor exerts a horizontal force of magnitude 125 N that opposes the motion. Calculate the magnitude of the acceleration of the crate if (a) its mass is 310 kg and (b) its weight is 310 N.
PLS HELPP
Rowan is at an all-you-can-eat breakfast. He has a pancake on his plate and is going to put another pancake on top of it. Which one of these other pancakes would make the bottom pancake the warmest? Explain how the energy and temperature of both the bottom pancake and your chosen top pancake will change after they’ve been touching for a while, and why.
The other pancakes are at various temperatures and Conduction refers to the mode of transfer of thermal energy that arise when the two bodies are in close contact.
Briefing:The other pancakes are presumably at different temperatures in this scenario. If this is the case, then due to the thermal energy transfer, the pancake with the highest temperature should be the warmest at the bottom. Conduction is the process through which thermal energy is transferred when two bodies are in close proximity to one another.
How is temperature measure?Thermometers are used to measure the air's temperature. Common thermometers have a glass rod inside of which is a very thin tube. A liquid is delivered to the tube from a reservoir, or "bulb," at the thermometer's base. Sometimes the liquid is reddish alcohol, and other times it is mercury.
To know more about Temperature visit:
https://brainly.com/question/11464844
#SPJ13
How does a change in the solar constant impact the absorption of shortwave radiation and the emission of longwave radiation by the earth-atmosphere system?.
Answer:
Option - d This is trick question, since the solar constant never change. The gravity of the Sun keeps the planets in their orbits at all times. They stay in their orbits, since there is no other force in the Solar System which can stop them. Yeah this might help. Add to brainliest please
In the situation shown below, what will happen if the cannon fires a banana at the same time that the monkey falls from the tree? (Assume the banana has a high enough initial velocity to reach the tree on the fly.)
In the situation shown, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.
In the presence of gravity, the banana will move in a parabolic path. As the monkey lets go of the tree, it will have a downwards acceleration due to the presence of gravity. But both the banana and the monkey will have the same amount of acceleration. Because gravity causes objects to accelerate at the same rate independent of their mass.
Since both the banana and the monkey experienced the same acceleration, both will fall equal amounts of distance below their gravity-free path. So the banana misses the monkey, moving below the monkey. The only way the banana hits the monkey is that if the cannon is aimed at the monkey.
Therefore, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.
To know more about the monkey and the zookeeper dilemma
https://brainly.com/question/7981776
#SPJ1
What is a “tear” aka crying, what’s in a tear? LOTS OF POINTS
Answer:
water
Explanation:
- A biker travels 65 mi during a two-and-a-half-hour commute. What was their average velocity?
Answer:
26 mi/hr
Explanation:
65 miles / 2.5 hours = 26 mi/hr
What vocabulary words means an experiment is done without a variable
Answer:
Explanation:
The independent variable of an experiment is the part that the experimenter is changing and can control. The dependent variable is the part of the experiment that is affected by the change.
For example, with a plant, if you water a plant, that is an independent experiment, dependent on you actually watering the plant. The dependent variable is the plant's condition. It is dependent on being watered.
a student is skateboarding down a ramp that is 6.0 meters long and is inclined at 28 degrees with respect to the horizontal. The ramps coefficient of friction is 0.323. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. What is the skateboarders speed at the bottom of the ramp? (Hint: Find acceleration)
What is the kinetic energy of a 24 kilogram rock rolling down a hill at a velocity of 2 meters persecond?
The mass of the rock is, m = 24 kg
The velocity of the rock is, v = 2 m/s
The kinetic energy of the rock can be given by the formula
[tex]K\mathrm{}E\mathrm{}=\frac{1}{2}mv^2[/tex]Substituting the values, the kinetic energy will be
[tex]\begin{gathered} K\mathrm{}E.=\frac{1}{2}\times24\times(2)^2 \\ =48\text{ J} \end{gathered}[/tex]the volume of a stone having an irregular shape can be measured (a) meter rule (b) measuring cylinder (d) vernier calliper (d) micrometer screw guage
Answer:
B) Measuring cylinder
Explanation:
How many seconds will it takes to stop？
In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation
[tex]40\text{ mph}=40\cdot1.467\text{ ft/s}=58.7\text{ ft/s}[/tex]Then, let's :
[tex]\begin{gathered} V^2=V_0^2+2\cdot a\cdot d\\ \\ 0^2=58.7^2+2\cdot a\cdot50\\ \\ 100a=-3445.7\\ \\ a=-34.46\text{ ft/s^^b2} \end{gathered}[/tex]Now, we calculate the time with the formula below:
[tex]\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 50=58.7t-17.23t^2\\ \\ -17.23t^2+58.7t-50=0\\ \\ t=\frac{-58.7\sqrt{58.7^2-4\cdot(-17.23)\cdot(-50)}}{2\cdot(-17.23)}\\ \\ t_1=t_2=1.7 \end{gathered}[/tex]Therefore the time required is 1.7 seconds.
an ohmic material is one in which its resistance does not depend on the voltage across it or the current within it. in that case, the resistance does not depend on: temperature power dissipated in the sample cross-sectional area of the sample resistivity (an intrinsic property of the sample) length of the sample
An ohmic conductor's resistance is independent of the applied voltage, so the temperature stays constant.
What is an ohmic material?An ohmic material or component is any material, component, or device that complies with Ohm's law, according to which the current flowing through the object is proportional to the applied voltage. Nonohmic materials and components are any substances or parts that do not adhere to Ohm's law.
What does Ohm's law depend?Ohm's law, which describes how current, voltage, and resistance are related. The voltage or potential difference across a large number of materials directly correlates to the amount of steady current through those materials.
To know more about resistance :
https://brainly.com/question/11431009
#SPJ9
What is one way to describe elements?
Elements have atoms and protons which makes them the building blocks of matters.
What are elements?
The nature of elements make them impossible to broken down into simpler kinds of matter.
Elements can be grouped into:
Metals: example of this category of element includes lead, iron, and gold, they form positive ions.Nonmetals: examples include oxygen, nitrogen. These elements doesn't have the properties of metals.In summary, elements have atomic number, structures, densities, and unique properties.
Learn more about elements here: https://brainly.com/question/749030
#SPJ1
HELP W 2 AND 3 PLEASE IMPORTANT!!
The maximum resultant of two vectors , one 10m/s and 20 m/s will be 22.36.
What is projectile motion?The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object. Air resistance is the name for the frictional force that an object experiences as it moves through the air and slows it down. Air resistance does greatly change trajectory motion, but because it is difficult to calculate, it is not taken into account in basic physics.
The separation of horizontal and vertical motions is the most crucial idea in projectile motion.
We have given two velocities 10m/s and 20m/s. [tex]\sqrt10²+\sqrt20²[/tex] → √500 = 22.36 The maximum resultant will be 22.36. The bag fall straight down or not fly back to the plane because Everything in this world , when dropped from height it will only fall down towards are earth because of gravitational force .To learn more about Projectile motion refer
https://brainly.com/question/11049671?referrer=searchResultssearchResults
#SPJ13
I cannot find scince so can someone please help me out
The three statements which provide evidence of universe expansion that supports the Big Bang Theory include the following:
Galaxies are moving away from each other.The temperature of the universe is decreasing.An enormous amount of weak background radiation has been detected in the universe.What is the Big Bang Theory?The Big Bang Theory simply refers to an explanation that was given by astronomers to describe how the universe was formed, which describes a well-detailed information on how the universe started (its origin).
According to the Big Bang Theory, the whole universe stretched from a single point and then expanded to its present state and this is typically supported by the following evidence:
Red shift of galaxies due to Doppler effect.Cosmic background radiation.Decrease in the temperature of the universe.Universe is expanding.The movement of galaxies apart.Existence of quasars.Read more on Big Bang Theory here: https://brainly.com/question/24926549
#SPJ1
Complete Question:
Which provides evidence of universe expansion that supports the Big Bang Theory? Select the three correct answers. (2 points)
An enormous amount of weak background radiation has been detected in the universe.
The temperature of the universe is decreasing.
The temperature of Cosmic Microwave Background radiation varies widely from one part of the universe to another
Galaxies are moving away from each other.
The universe is undergoing a cycle of contraction and expansion
The temperature of the universe is increasing.
What action-reaction forces are involved when a rocket engine fires? why doesn't a rocket need air to push on? action force: _______________ reaction force: _____________
The action force is the rocket pushing out the gases that are produced by the engine of the rocket.
The reaction force is the gas pushing the rocket back on the rocket to make it go upward and outward into space.
A rocket does not need air to push on because gases produced by the engine of the rocket enable the action and reaction force that is required by the rocket to go into space. Thus in the presence of these gases, a rocket does not need air to push on.
If you need to learn more about forces acting during the propulsion of rocket, click here
https://brainly.in/question/5739824?referrer=searchResults
#SPJ4
The thermal energy transferred during a calorimetry experiment is equal to 32 J. This is equivalent to the work done by a 2-N force
A. acting over a distance of 16 m
B. acting over a distance of 64 m
C. acting for 16 s
D. acting on a 16-kg mass
A thermal energy of 32J is equivalent to the work done by a 2-N force acting over a distance of 16 m (option A).
What is work done?Work done is measure of energy expended in moving an object. It can be said that no work is done if the object does not move.
Work done can be calculated by multiplying the force by distance as follows:
Work done = force × distance
According to this question, the thermal energy transferred during a calorimetry experiment is equal to 32 J.
Since work done is force multiplied by distance, this suggests that a force of 2N will be acting over a distance of 16metres.
Learn more about work done at: https://brainly.com/question/13662169
#SPJ1
In three to five sentences, explain how you would conduct an experiment to investigate the relationship between the applied force and the displacement of the spring, and describe its expected results.
An experiment to investigate the relationship between the applied force and the displacement of the spring, requires a spiral spring, two different masses and a meter ruler to measure the original length and displacement of the spring.
This experiment seeks to demonstrate Hooke's law, which states that the applied force F is equal to a constant k, to a displacement or change in length x. Mathematically, F = kx.
To demonstrate this law, we need;
A retort standA corkA spiral springA meter ruleThe set up appears as shown in the image attached. The natural length of the spring is first measured and recorded. The masses are now added gradually and the displacement of the spring is recorded each time.
A straight line graph is obtained when the force is plotted against the displacement within the elastic limit of the spring.
To know more about Hooke's law,
https://brainly.com/question/24862029
#SPJ1
what factor of the wave seems to affect pitch?
Answer: Pitch of the sound depends on the frequency of the sound wave. The pitch is affected by the source of production of sound wave. It also depends on the shape of the medium in which it travels.
Explanation: