Hi there!
Assuming the rod is pulled back 90° (π/2 radians), we can use angular kinematics to solve.
Using the equation:
[tex]\omega_f^2= \omega_i^2 + 2\alpha \theta[/tex]
[tex]\omega_f[/tex] = final angular velocity (? rad/sec)
[tex]\omega_i[/tex] = initial angular velocity (0 rad/sec)
[tex]\alpha[/tex] = angular acceleration (rad/sec², must solve for)
[tex]\theta[/tex] = angular displacement (π/2 rad)
Recall Newton Second Law's rotational equivalent:
[tex]\Sigma \tau = I\alpha[/tex]
τ = Torque (Nm)
I = Moment of inertia (kgm²)
α = angular acceleration (rad/sec²)
Setting the pivot point at the end, and knowing that the force of gravity works at an object's center of mass (1.5m from the rod's end), we can solve for the angular acceleration.
[tex]\tau= F \times r\\\\\tau = W \times r = 10(9.8) * 1.5 = 147 Nm[/tex]
Now, solve for the moment of inertia given I = 1/3ML² at one of its ends:
[tex]I = \frac{1}{3}(10)(3^2) = 30 kgm^2[/tex]
Solve for the angular acceleration:
[tex]147 = 30\alpha\\\\\alpha = 4.9 \frac{rad}{sec^2}[/tex]
Now, we can use the kinematic equation to solve.
[tex]\omega_f^2 = 0 + 2(4.9)(\frac{\pi}{2}})\\\\\omega_f = \sqrt{2(4.9)(\frac{\pi}{2})} = \boxed{3.923 \frac{rad}{sec}}[/tex]
What is it called when you pull a line off your reel and cast it?
Who was the english thinker who established the three laws of motion?.
Answer:
Isaac Newton
Explanation:
Because i learned this in school
What is the total work wfric done on the block by the force of friction as the block moves a distance l up the incline?.
The total work work done on a block by the force of friction is the force of friction times the distance traveled times the cosine of the angle between the friction force and displacement
Work done is measured in joules (J). It is distance moved along the line of action of the force is measured in metres (m)
What is work done?Work is said to be done when a force acts upon an object to cause a displacement.
Calculating the work done on an object
work done = force × distance
Where;
Work done is measured in joules (J)
Force is measured in newtons (N)
Distance is measured in meters (m)
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what are some risks using social media? select the three correct answers
A. sharing to much personal information
B. sending and receiving inappropriate photo's
C. being vulnerable to predatory adults
D. connecting easily with friends
Answer:
A
B
C
are the correct options
" Sensation " occurs in the while perception occurs in the 1) brain; body 2) skin; nerves 3 ) brainstem spinal cord 4 ) body brain
Hence the complete statement will be, " Sensation " occurs in the body while perception occurs in the brain.
Option D
Sensation and its resolveGenerally, senses acquire facts from the surroundings using the sensory receptors which eventually feed into neural inputs.
These neural impulses are then dispatched to the brain there it is prepared and interpreted for in addition evaluation which is recognized as perception.
Therefore,we have the follow statements to be true
Sensation occurs in the body
Perception occurs in the brain
Option D
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Help and explain thanks
Answer:
the faster an object moves the more kinetic it has. the more mass an object has, the more kinetic energy it has.
If you view an object with binoculars, and the image appears right side up and a dozen times larger, then what is the magnification of the binoculars?
12 x is the magnification power if we view an object with binoculars, and the image appears right side up and a dozen times larger.
What is magnification power?Magnification power refers to the larger image of a given lens can make of an object which is seen through the lens. If a microscope has magnification power up to 1000x, then this means that the image of the object is 1000 times larger than the original one so we can conclude that the magnification power of binocular is 12x.
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What is the nature of material after elastic limit
Answer:
In stress strain curve of ductile materials, up to proportionality limit stress and strain are proportional to each other and also elastic in nature. After that proportionality disappears and only elasticity remains. That limit is called elastic limit.
Explanation:
How much force is needed to accelerate an object of mass 90 kg at a rate of 1. 2 m/s2?.
Answer:
108
Explanation:
because F=ma
which is 90 × 1.2
= 107N
Describe, step by step, how you would set up a simple investigation to show that: kinetic friction is less than static friction
Answer:
You can use a block and an inclined plane (just a tilted board)
Place the block on the plane and gradually increase the angle the plane makes with the horizontal.
Static friction will keep the block in place (no sliding) until the angle between the plane and the horizontal is large enough. The block will now slide but is still under the influence of kinetic friction. Thus static friction is greater than sliding friction.
What is the liquid called that if heat is created it turns into
this?
Answer:
latent heat, also called the heat of vaporization
A 500-ml sample of argon at 800 torr has its absolute temperature quadrupled. If the volume remains unchanged what is the new pressure?.
Answer
P V = C R T natural gas law
P1 V1 = C R T1
P2 / P1 = T2 / T1 = 4 other numbers remain constant and cancel
P2 = 4 P1
The new pressure is 4 times as great.
The new pressure is 4 times greater.
Argon:The chemical element argon has the atomic number 18 and the symbol Ar. It is a noble gas that belongs to group 18 of the periodic table.At 0.934 percent, argon is the third-most abundant gas in the Earth's atmosphere (9340 ppmv). It is 23 times as abundant as carbon dioxide (400 ppmv), more than 500 times as abundant as neon, and more than twice as abundant as water vapor, which averages around 4000 ppmv but varies substantially (18 ppmv). The most prevalent noble gas in the crust of the Earth, argon makes up 0.00015 percent of the crust.Torr:The torr is an absolute scale pressure measurement that is equal to precisely [tex]\frac{1}{760}[/tex] of a standard atmosphere. As a result, [tex]\frac{101325}{760}[/tex] pascals is exactly one torr. Although historically one torr was meant to be equivalent to one "millimeter of mercury," later redefinitions of the two units resulted in a minor difference.Solution -
[tex]PV=CRT[/tex] (Natural gas law)
[tex]P1V1=CRT1[/tex]
[tex]\frac{P2}{P1} =\frac{T2}{T1} =4[/tex] (Other members remain constant and cancel)
[tex]P2=4P1[/tex]
Therefore, the new pressure is 4 times greater.
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A 10cm long ,2cm wide wooden wedge is pushed into a soft wood block .calculate :a,velocity ratio of the wedge b,the load on the soft wood if the effort applied is 30N
The velocity ratio of the wedge is 0.1
The load on the soft wood is 300 N.
Velocity ratio
The velocity ratio of a machine is the ratio of the distance traveled by effort to distance traveled by load.
V.R = distance traveled by effort/distance traveled by load
Let 1 cm of the wood's width = towards rightthen another 1 cm = towards leftV.R = 1 cm/ 10 cm = 1/10 = 0.1
Load on the soft woodThe load on the soft wood is calculated as follows;
[tex]\frac{30}{L} = 0.1\\\\L = \frac{30}{0.1} = 300 \ N[/tex]
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Carl hits a baseball with a force of 8 n. The next batter, stacy, hits it with 12 n of force. Which ball will accelerate faster?.
Answer:
The ball hit with 12N
Explanation:
Just took the quiz and got it right
a a Imagine a basketball bouncing. As it is moving up, does it have a positive or a negative acceleration? Why?
Answer:
moving up positive acceleration
Explanation:
when moving up as you bounce the ball
the speed changes gradually increasing so according to the equation
acceleration =[speed change ] ÷ period when speed change is positive acceleration is also positive , and an greater value
example speed changes 5m/s within 2 seconds throwing the ball upward
(these are assuming values to explain)
acceleration is 5/2 = + 2.5 m/s^2
so this is an positive acceleration
if negative we call deceleration
When a basketball is bouncing and moving up, it has a negative acceleration.
Acceleration is the rate of change of velocity with respect to time. If the velocity of the basketball is increasing in the upward direction as it bounces, the acceleration is directed downward (negative). This might seem counterintuitive at first, but it is essential to understand that acceleration is a vector quantity, which means it has both magnitude and direction.
When the basketball moves upward during its bounce, its velocity is slowing down due to the opposing force of gravity. As it moves against gravity, the magnitude of its velocity decreases until it reaches the highest point (apex) of its bounce, where its velocity momentarily becomes zero. At the apex, the basketball changes direction and starts moving downward, and its velocity increases in the downward direction.
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A student observes that the temperature of a container of water stops increasing right before it starts to boil and turn into gas. Which statement is correct about the thermal energy of the water? (1 point)
The kinetic energy of the water is still increasing even though the temperature is not increasing.
The thermal energy of the water remains constant as it transforms from liquid to gas.
The thermal energy of the water is still increasing even though the temperature is not increasing. The potential energy of the water remains constant as it transforms from liquid to gas.
During boiling, the temperature of a container of water remains constant because thermal energy of the water is constant during the transformation from liquid to gas.
What is kinetic energy?Kinetic energy is energy possessed by a particle by virtue of its motion. Molecules that compose matter are in constant random motion according to the kinetic theory of molecules.
The temperature of a container of water stops increasing right before it starts to boil and turn into gas because the thermal energy of the water remains constant as it transforms from liquid to gas. The heat that is required to turn the liquid into gas at the boiling point is called the latent heat.
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Which evidence card could be eliminated because it did not isolate variables?
Evidence Card A: Magnetic pole arrangement
Evidence Card A: Magnetic pole arrangement
Evidence Card B: Number of wire coils
Evidence Card B: Number of wire coils
Evidence Card C: Rail material
Evidence Card C: Rail material
Evidence Card D: Distance between the car and launcher
Evidence Card D: Distance between the car and launcher
None should be eliminated.
None should be eliminated.
Based on the nature of variables, none of the evidence card should be eliminated because they all represent variables.
What are variables?Variables refers to any quantity that can have various values.
Variables include age, time , distance, height, speed, etc.
Variables can either be independent, dependent or constant.
Magnetic pole arrangent is a variable because it can take different values.Number of coils is a variable because it can take different values.Rail material is a variable because it can take different values.Distance between the car and launcher is a variable because it can take different values.There, none of the evidence card should be eliminated because they all represent variables.
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What does it mean when it is said that
the action force and reaction force are
both "equal and opposite"?
A. The direction of force is opposite, but the magnitude of
force is equal.
B. The magnitude of force is opposite, but the magnitude of
force is equal
C. Both the direction of force and the magnitude of force
are equal.
D. Both the direction of force and the magnitude of force
are opposite
Answer: A
Explanation: The direction of force is opposite but the magnitude of force is equal.
What energy of light's photon gives a maximum kinetic energy of 1.62 eV to the photoelectrons ejected from a gold surface?(given: The work function for gold is 4.58 eV)
I’m in 8th grade and don’t know how to find m/s^2. Or acceleration from Force and mass can someone help me.
Using two boxes, design two solar ovens. Before you build, describe your designs. Discuss elements such as materials, box shape, and color, and explain why you think the oven will work.
Answer:
Find two boxes just a bit smaller than the other. The long sides of the box should be less than twice as long as the short side of the boxes. The smaller box should fit inside the larger box with about 1 inch in each direction to spare. The boxes can be cut down so that they fit together properly. Leave the flaps on the boxes. Buy a small sheet of Plexiglas (tm) a little bit smaller than the width and length of the top of the box. You will also need four pieces of cardboard to use for reflectors.
Explanation:
6. An aircraft decelerates at 0.5 m/s2. After 8 minutes its velocity has dropped to 160 m/s. Find its initial velocity
vf²=vi²+at
t = 8 min = 480 s
decelerates = a = - (negative sign)
input the value:
160²=vi²-0.5 x 480
25600 = vi²-240
25840 = vi²
vi = 160.75 m/s
The initial velocity of the aircraft is equal to 400 m/s when it decelerates at 0.5 m/s².
What is the equation of motion?The equations of motion have described the behavior of a physical system in which motion is a function of time. The equations of motion describe a set of mathematical functions in terms of dynamic variables and the relationship between the velocity, time, displacement, and acceleration of a moving object.
The mathematical expressions for three equations of motion can be written as:
[tex]v = u + at\\S = ut +\frac{1}{2} at^2\\v^2-u^2 = 2aS[/tex]
Given, the final velocity of the aircraft, v = 160 m/s
The time taken by the aircraft, t = 8 min = 480 sec
The de-acceleration of the aircraft, a = -0.5 m/s²
From the first equation of motion, we can find the initial velocity of the aircraft:
[tex]v = u +at[/tex]
160 = u - (0.5) × (480)
u = 160 + 240
u = 400 m/s
Therefore, the initial velocity of the aircraft is equal to 400 m/s.
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Compare the gravitational field and the electric field produced by a proton
O The electric field is stronger and is the opposite direction of the gravitational field
C The gravitational field is stronger and is in the same direction as the electric field
O The gravitational field is the same strength as the electric field
O The electric field is stronger and has the same direction as the gravitational field
By using what we know about microscopic interactions, we will see that the correct option is:
"The electric field is stronger and is the opposite direction of the gravitational field"
Comparing the gravitaitonal and electric fields.
The gravitational field depends on the mass of the proton, while the electric field depends on the charge of the proton. We know that gravity is negligible at such small scales, where the electric and nuclear interactions rule. So for such small particles, electric fields will always be stronger than gravitational fields.
Now, in which direction points each field?We know that the gravitational force is an attractive force, so the field will point inwards.
In the other hand, the electric force depends on the type of the charge. Two equal chares repel and two opposite charges attract.
In the case of the proton, we have a positive charge, so it will only atract negative charged particles. So the vectors of the field point outwards.
Then we can conclude that the field's directions are opposite.
Then the correct option is:
"The electric field is stronger and is the opposite direction of the gravitational field"
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All materials made of atoms and molecules are________. (fill in blank)
please help, i will give brainliest.
Answer:
matter
Explanation:
Use the picture to identify the part of a wave.
What is D?
Wait what do you mean what is D? I have no idea what your talking about. Well um... D is the fourth letter or the alphabet.
I have anxiety btw so i don't want to be warned it makes me feel weird or scared.
Students want to make a scale model of the Earth and Moon system that shows correctly-scaled sizes and distances. Here are some guidelines they have to follow.
It has to be shown in the classroom, and the classroom is 51 square meters in area.
It has to be easily moved around since orbital motion and rotations will be shown.
It cannot cause damage if it is dropped.
All the students in the class should be able to see it from their desks.
Four different students came up with different designs. The designs and characteristics are shown in the table below.
Which design best satisfies the criteria and constraints of this Earth-Moon model?
A.
design 1
B.
design 3
C.
design 2
D.
design 4
Answer:
Design #3 seems to best fit the requirements (2 sq m).
The others are too bulky.
If identical spacecraft were orbiting Mars and Earth at identical radii (distances), which spacecraft would be moving faster
Answer:
a = G M / R^2 gravitational acceleration
a = ω^2 R acceleration due to centripetal force
a2 / a1 = ω2^2 / ω1^2 the one with the greatest gravitational acceleration would require the greatest speed
a2 / a1 = M2 / M1 using the first equation - since M is greater for earth - then the spacecraft for earth would be moving faster - using the term radii as distance from center
Note that the acceleration of an object at the surface for Mars is less that on-half of that of earth - so at zero height above the surface the spacecraft on earth would still be moving faster
Determine the quantity of charge on a plastic tube which has been rubbed with animal fur and gained 3.8 x 10^9 electrons
The quantity of charge carried by the plastic tube is -6.08 x 10^-10 C.
What are electrons?Electrons are negatively charged particles that are found in the atom. The magnitude of charge carried by an electron is about -1.6 × 10^-19 C. We must note that the negative sign indicates that the electron is negatively charged.
The quantity of charge carried by the tube is obtained from;
q =ne
q = 3.8 x 10^9 × ( -1.6 × 10^-19 C)
q = -6.08 x 10^-10 C
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A hunter aims directly at a target (on the same level) 73.0 m away. If the bullet leaves the gun at a speed of 190 m/s , by how much will it miss the target
We have that the miss distance is mathematically given as
h= 0.76 m
Distance of miss
Question Parameters:
Generally the equation for the Time is mathematically given as
t = d / v
Therefore
[tex]t = \frac{73.0 m}{ 185 m/s}[/tex]
t = 0.39s
Hence
x = 1/2 g t^2
x = 1/2 *9.8 * 0.39 s ^2
x= 0.76 m
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Explain how you could use a metal to tell the difference
betwen water and a dilute acid
Answer:
If you put the metal extract into the water there will be no reaction but if you put it into the acid it will liberate H2 (hydrogen gas) Hence it is the difference
Explanation:
this should sum it down