Answers
Answer:
Explanation:
You can decompose those vectors into their components in x and y direction. For the first vector:
[tex]\vec{r}_{1}=r_{1}\cos 30\hat{i}+r_{1}\sin 30\hat{j}=3.14(\frac{1}{2}\sqrt{3}\hat{i}+\frac{1}{2}\hat{j})=1.57\sqrt{3}\hat{i}+1.57\hat{j}[/tex]
For the second vector:
[tex]\vec{r}_{2}=r_{2}\cos 60\hat{i}-r_{2}\sin60 \hat{j}=1.355\hat{i}-1.355\sqrt{3}\hat{j}[/tex]
The sum of two vectors will be:
[tex]\vec{r}=\vec{r}_{1}+\vec{r}_{2}=(1.57\sqrt{3}+1.355)\hat{i}+(1.57-1.355\sqrt{3})\hat{j}\approx 4.0711\hat{i}-0.77415\hat{j}[/tex]
The magnitude of the sum of two vectors is:
[tex]r=\sqrt{(4.0711)^{2}+(-0.77415)^{2}}\approx 4.14[/tex] meter
Answer:
4.14m
Explanation:
Related Questions
A karate expert breaks a stack of bricks with his bare hand. If the force applied is 520 newtons and the impact time is 5.0 × 10 seconds, what is the value of impulse
A.
0.26 newton seconds
B.
0.58 newton seconds
C.
1.82 newton seconds
D.
2.20 newton seconds
Answers
A karate expert breaks a stack of bricks with his bare hand. If the force applied is 520 newtons and the impact time is [tex] \sf{5.0 \times 10^{-4}} [/tex] seconds, what is the value of impulse ?
So, the value of impulse is (A). 0.26 newton seconds.
IntroductionHi ! Here, I will help you about the impulse. Impulse is described as a quantity which expresses the integral of the amount force respect to time. The amount of impulse will be proportional to the amount of force or time (the greater value of the force or the value of time, the value of impuls is greater too). The relationship between impulse, force, and time is expressed in this equation :
[tex] \boxed{sf{\bold{I = F \times \Delta t}}} [/tex]
With the following condition:
I = impulse that occurs (N.s)F = force that given (N)[tex] \sf{\Delta t} [/tex] = interval of the time (s) Problem SolvingWe know that :F = force that given = 520 N[tex] \sf{\Delta t} [/tex] = interval of the time = [tex] \sf{5.0 \times 10^{-4} \: s}[/tex]What was asked :
I = impulse that occurs = ... N.sStep by step :
[tex] \sf{I = F \times \Delta t} [/tex]
[tex] \sf{I = 520 \times (5.0 \times 10^{-4}} [/tex]
[tex] \sf{I = 2,600 \times 10^{-4}} [/tex]
[tex] \sf{I = 2.60 \times 10^3 \times 10^{-4}} [/tex]
[tex] \sf{I = 2.60 \times 10^{3 + (-4)}} [/tex]
[tex] \sf{I = 2.60 \times 10^{-1} = \boxed{0.26 \: N.s}} [/tex]
Conclusion :So, the value of impulse is (A). 0.26 newton seconds
Why is there two π in the formula of a mathematical pendulum (T=2π √l/g)?
Answers
Answer:
The π is from the initial formula of period T=2π/omega
Which phrase describes the heating element of a toaster oven?
1 a conductor surrounded by an insulator
2 an insulator, which stops the flow of electricity
3 a resistor, which converts some electric energy to thermal energy
4 a conductor, which carries electric currents
Answers
Answer:3
Explanation:
Answer Is:3.a resistor, which converts some electric energy to thermal energy
Explanation:
I Took Quiz Got 100%
true or false
a)we should play inside our classroom..........
b)curd is made from milk........
c) wa.........t.............
Answers
Answer:
a) we should play inside our classroom
Explanation:
Yesterday you walked 20 meters to the right from your house to the bus stop, which took you 20 seconds. You waited at the bus stop for 1 minute before realizing you forgot your Mathematics homework at home. You ran back to your house in 5 seconds. It took you 10 seconds to find your homework, and then you ran back to the bus stop in 5 seconds just in time to catch the bus. What was your average velocity for the entire period of motion?
a.
0.2 m/s
b.
1 m/s
c.
100 m/s
d.
20 m/s
Answers
average velocity= tot displacement/total time
avg v = 20/(20+60+5+10+5)=20/100=0.2 m/s
Suppose a horse leans against a wall as in the figure below.
1.2 m
14 m
1
0.35 m
(0)
(a)
Calculate the force exerted on the wall assuming that force is horizontal and using the data in the schematic representation of the situation. Note that the force exerted on
the wall is equal in magnitude and opposite in direction to the force exerted on the horse, keeping it in equilibrium. The total mass of the horse and rider is 575 kg. Take the
data to be accurate to three digits.
Answers
The force the horse and the rider exerts on the wall is equal to the weight combined acting in the opposite direction:
ForceGiven Data
mass of horse and rider = 575kgForce acting on wall = ??When a body of mass rests on a surface, it exerts a force equal to the weight of the mass but opposite in direct on the mass/object
hence the force is computed as
Force = mass * acceleration
Force = 575 * 9.81
Force = 5640.75N
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A man is pushing a large box with a force of 44 newtons. He slides over a floor that has a sliding frictional force of 12 Newtons. What is the acceleration?
Answers
The surface of a lake has an area of 15.5 km2. What is the area of the lake in m2?
Answers
Answer:
1.55 x 10⁷ m²
Explanation:
Unit conversion
km² → m² 1 km² = 10⁶ m²Solving
15.5 km² = 10⁶ x 15.5 m²155 x 10⁵ m²1.55 x 10⁷ m²A revolving door continues to rotate even after the person pushing it exits. Is it Newton's first law of motion, Newton's second law of motion. or Newton's third law of motion?
Answers
Answer:
Newton's third Law
Explanation:
Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
The density of lead is 30.2g/cm^3.what is the value in kilograms per meter cube?
Answers
11300 kgm3
Hope this helps
If electromagnetic radiation acted like particles in the double-slit experiment, what would be observed? (1 point)
O A series of light and dark bands would appear on the screen.
O Two bright bands would appear on the screen in line with the slits.
O The screen would remain dark because no radiation would reach the screen.
O One bright band would appear in the center of the screen.
Answers
If electromagnetic radiation acted like particles in the double-slit experiment, we would observe one bright band would appear in the center of the screen.
Bahavior of particles in double-slit experimentIn a double-slit experiment, single particles, such as photons, pass one at a time through a screen containing two slits.
The photons behave like wave and the constructive interfernce of the waves of these photons will generate a high amplitude wave seen as a bright band in the center of the screen.
Thus, if electromagnetic radiation acted like particles in the double-slit experiment, we would observe one bright band would appear in the center of the screen.
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A single coil of wire, with a radius of 0.13 m is rotated in a uniform magnetic field such that the angle between the field vector and the area vector obeys θ=ωt. If the strength of the field is 3.746 T, and the angular frequency is 524.7 rad/s, what is the induced emf in the loop at t=1.16 s?
Answers
The magnitude of emf induced in the single coil of wire rotated in the uniform magnetic field is 0.171 V.
The emf induced in the loop is determined by applying Faraday's law of electromagnetic induction.
emf = N(dФ/dt)
where;
N is number of turns of the wireФ is magnetic fluxФ = BA
where;
B is magnetic field strengthA is the area of the loopemf = NBA/t
A = πr²
A = π x (0.13)²
A = 0.053 m²
emf = NBA/t
emf = (1 x 3.746 x 0.053)/(1.16)
emf = 0.171 V
Thus, the magnitude of emf induced in the single coil of wire is 0.171 V.
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Question 3 of 10
Which statement describes the law of conservation of energy?
A. Energy can only change from nuclear energy to chemical energy
B. There is only one form of energy.
C. The total energy in a system can only increase.
D. When an energy transformation happens, no energy is destroyed
or created.
Answers
This is the correct answer because the law of conservation of energy is energy cannot be created nor destroyed
Answer: D
Explanation: not A because energy can also change from chemical to mechanical or nuclear to mechanical. Not B because there are many types of energy eg, mechanical, nuclear, chemical... Not C because The total energy of a system is constant(conservation of energy).
How much pressure is created when you apply a
50.0N force on a syringe plunger that has a diameter of 0.4
Answers
= Force/Area
Area = π(d^2)/4
= π(0.4^2)/4
=0.126 m2
Pressure
= 50/0.126
= 396.825 Pa
Two children are playing tetherball, in which a ball at the end of a cord spins around a pole. After a really good hit, the ball makes three complete revolutions in 2.0 s. What is the angular speed of the ball?
Answers
Answer:
3 pi R / s or 9.42 R/s or 540 degrees/sec
Explanation:
Ball covers 2 pi radians each rotation
2 pi * 3 R / 2 s = 3 pi R / s
the angular speed of the ball is 3 pi R / s or 9.42 R/s or 540 degrees/sec
What is angular speed ?Angular speed can be defined as the measures of speed of how fast the central angle of a rotating body changes with respect to time
Angular speed mainly implies how quickly the rotation of an object occur means it is described as the change in the angle of the object per unit of time.
To calculate the speed of a rotational motion the angular speed value need to be known, hence The angular speeds formula is used to calculate the distance traveled by an object in terms of rotation and revolutions per unit of time.
The unit of angular speed of an object is radian per second and Both angular speed, angular velocity are determined by using the same formula, angular velocity is vector quantity which describes both magnitude and direction.
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What would be the potential difference of the capacitor if it is connected to a battery of 3v?
Answers
Answer: 3V
Explanation:
If the capacitor is connected to a 3V battery:
[tex]\bold{V = \frac{Q}{C} }[/tex]
The potential difference is also 3V on the capacitor
Objects change their speed and/or direction only when
Answers
Answer:
When an external force acts upon them
Hello, please help!
Physics teacher asked us to answer and give explanation to why:
Can light bend around corners?
THNX SO MUCH
Answers
Answer:
Yes, light can bend around corners.
Explanation: In fact, light always bends around corners to some extent. This is a basic property of light and all other waves. The amount of light that bends around a corner depends on the exact situation.
Thanks for asking the question!!
What is the centripetal acceleration of 30 kg child standing 5 meters from the center of a
rotating carousel? The carousel is rotating at a linear velocity of 20 m/s.
Answers
Answer:
80m/s2
Explanation:
m=30kg. r = 5meter v = 20m/s2 a= ? centripetal acceleration = v*v/r
20*20/5=80m/s2
centripetal acceleration=80 m/s2
Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 105 kg·m2. When one person is standing at a distance of 1.57 m from the center, the carousel has an angular velocity of 0.512 rad/s. However, as this person moves inward to a point located 0.507 m from the center, the angular velocity increases to 0.795 rad/s. What is the person's mass?
Answers
For one person standing at a distance of 1.57 m from the center, the carousel has an angular velocity of 0.512 rad/s, the person's mass is mathematically given as
m = 24.2 kg
What is the person's mass?Generally, the equation for the conservation angular momentum is mathematically given as
(I + m * r0^2) * w0 = (I + m * r^2) * w^2
Therefore
(105 + m * 1.78^2) * 0.517 = (105 + m * 0.524^2) * 0.841
m = 24.2 kg
In conclusion, the mass
m = 24.2 kg
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Definition law of moments
Answers
When an object is balanced (in equilibrium) the sum of the clockwise moments is equal to the sum of the anticlockwise moments.
What is the magnetic flux going through a coil with 0.065 m2 area if the intensity of the magnetic field is 0.114 T.
Answers
Hi there!
[tex]\Phi _B = \int B \cdot dA[/tex]
φ = Magnetic Flux (Wb or Tm²)
B = Magnetic field strength (T)
A = Area (m²)
This equation includes a dot product, so this can be rewritten as:
[tex]\Phi _B = B A cos\theta[/tex]
In this instance, the field is parallel to the area, so cos(0) = 1.
Calculate the magnetic flux by plugging in the given values.
[tex]\Phi _B = BA = 0.114 * 0.065 = \boxed{0.00741 Wb}[/tex]
Most patients are likely to express their fears, anxieties, or uncertainties to who
Answers
Most patients being likely to express their fears, anxieties, or uncertainties to their healthcare provider is False.
Who is a Patient?This refers to an individual who is a recipient of healthcare services provided by healthcare professionals.
Due to the stigma associated with mental health, a patient would less likely express fears and anxieties to the healthcare professionals.
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2. Box A has 2x the mass of Box B. Compare the inertia of the 2 bodies.
Answers
Box A has 2x the mass of Box B so Box A has more inertia as compared to Box B.
Relationship between inertia and massMore the mass of an object, there is more inertia of the body. Thus, if mass of two bodies is same their inertia will also be same. Hence, inertia of A and B will be same as mass of both A and B are same.
So we can conclude that Box A has 2x the mass of Box B so Box A has more inertia as compared to Box B.
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BRAINLIEST
1. What does the percent difference between GPE and KE tell you about the efficiency of energy transformations in this experiment?
2. Use a computer or graphing calculator to graph the percent difference in data table 1 versus mass, and the percent difference in data table 2 versus change in height (Δh). Based on your results that you see plotted for the two rounds of experiments, how would you adjust the mass and height so that the design of the system leads to GPE and KE values that are as close as possible? Explain why you think this design would achieve the desired result.
btw are my datas in the graph right? i added the gpe ke and %diff
Answers
The percent difference between GPE and KE in the experiment illustrates that the higher the percentage, the more efficient the energy transfer.
What is energy transformation?It should be noted that energy transformation simply means the process of changing energy from one form to another form.
In this case, the percent difference between GPE and KE in the experiment illustrates that the higher the percentage, the more efficient the energy transfer.
Also, the mass and height should be adjusted in such a way that the design of the system leads to GPE and KE values that are as close as possible.
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The experiment's percent difference between GPE and KE shows that the efficiency of energy transfer increases with percentage.
Thus, It should be emphasized that the term "energy transformation" simply refers to the act of altering energy's form.
The experiment's percent difference between GPE and KE in this instance demonstrates that the more significant the percentage, the more effectively energy is transferred.
The experiment's percent difference between GPE and KE in this instance demonstrates that the more significant the percentage, the more effectively energy is transferred.
Thus, Energy is capable of changing its forms. For instance, your body stores chemical energy from the food you eat until you can use it as kinetic energy when working or playing.
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A toy car, with mass of 6 Kg, is pushed with a force of 10 N. If the toy car is in the grass with a coefficient of friction of 0.1 then what is the acceleration?
How far does it get pushed in 10 s?
Answers
Fn-mg=ma
Fn-6(10)=6a
Fn=6a+60
Fx=ma
10-Ff=ma
10-(Fn)(0.1)=6a
0.1Fn=-6a+10
Fn=-6a+10/0.1
(substitute)
-6a+10/0.1=6a+60
-6a+10=0.6a+6
-6.6a=-4
a≈0.61m/s^2
Use Kinematics to find x in 10s
x=Vt+1/2at^2
x=0+1/2(0.61)(10)^2
x≈30.3m
I hate physics :p hope this is accurate
15C of charge flow through the filament of a light bulb in 22 seconds. What is the strength of the current in the filament?
Answers
Answer:
Current(I)= charge(q)/time
I=15/22
I=0.680.68A
Explanation:
Current is flow of charge per unit time. Always make sure the time is in seconds. istthe
2 moles of a monatomic ideal gas is placed under a piston in a cylindrical container. The piston can move freely up and down without friction and its diameter is 20 cm. A 50 kg weight i placed on the top of the piston. The initial temperature of the gas is 0°C. A. Calculate the absolute pressure in the container. B. Calculate the volume of the gas. D. Calculate the amount of work done by the gas during its expansion.
Answers
The absolute pressure in the container when the monatomic ideal gas is placed under a piston is 1.17 × 10⁵ pa
How to calculate pressure?The absolute pressure in the container will be:
= Po + mg/A
= 1.013 × 10⁵ + (50 × 9.8)/(π × 0.1²)
= 1.17 × 10⁵ pa
The volume of the gas will be:
= nRT/P
= 2 × 8 × 3.14 × (0 + 273)/(1.17 × 10⁵)
= 0.0388m³
The amount of work done by the gas during its expansion will be:
= 1.17 × 10⁵ × (0.053 - 0.0388)
= 1661J
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give an example of the 4 steps of the scientific method
Answers
Answer:
1) asking a question about something you observe, 2) doing background research to learn what is already known about the topic, 3) constructing a hypothesis, 4) experimenting to test the hypothesis
Answer:
1) make an observation that describes a problem - see something you can fix or improve and try to describe the problem like which type of vegetables does rabbit like
2) create a hypothesis - What do you think will happen - If the rabbit eat the lettuce than .........
3) test the hypothesis - Do your experiment with the variables and follow the procedures
4) draw conclusions and refine the hypothesis - see if your hypothesis was correct - In conclusion my hypothesis was not correct because.......
(a) In Coulomb scattering of 7.50-MeV protons by a target of 'Li, what is the energy of the elastically scattered protons at 90°? (b) What is the energy of the inelastically scattered protons at 90° when the 'Li is left in its first excited state (0.477 MeV)?
Answers
Answer:
First the charge is given 7.50×10^-6
Explanation:
so that we have
[tex]90 [/tex]
so that their is no cross sectional area of this anglethen the direction is one is left and other one is right so thats my hint