Here is the missing information.
An exhausted bicyclist pedal somewhat erraticaly when exercising on a static bicycle. The angular velocity of the wheels takes the equation ω(t)=at − bsin(ct) for t≥ 0, where t represents time (measured in seconds), a = 0.500 rad/s2 , b = 0.250 rad/s and c = 2.00 rad/s .
Answer:
0.793 rad
Explanation:
From the given question:
The angular velocity of the wheel is expressed by the equation:
[tex]\omega (t) =\dfrac{d\theta}{dt}[/tex]
The angular velocity of the wheels takes the description of the equation ω(t)=at−bsin(ct)
SO;
[tex]\dfrac{d \theta}{dt} = at - b \ sin \ ct[/tex]
dθ = at dt - (b sin ct) dt
Taking the integral of the above equation; we have:
[tex]\int \limits^{\theta}_{0} \ d \theta = \int \limits ^{t=2}_{0} at \ dt - (b \ sin \ ct) \dt[/tex]
[tex][\theta] ^{\theta}_{0} = a \bigg [\dfrac{t^2}{2} \bigg]^2_0 - \bigg[ -\dfrac{b}{c} \ cos \ ct \bigg] ^2_0[/tex]
where;
a = 0.500 rad/s2 ,
b = 0.250 rad/s and
c = 2.00 rad/s
[tex]\theta = (0.500 \ rad/s^2 ) \bigg [\dfrac{(2s)^2}{2} \bigg] - \bigg[ -\dfrac{0.250 \ rad/s}{2.00 \ rad/s} \ cos \ (2.00 \ rad/s )( 2.00 \ s) \bigg] - \bigg [ \dfrac{0.250 \ rad/s}{2.00 \ rad/s}\bigg ] cos 0^0[/tex]
[tex]\mathbf{\theta = 0.793 \ rad}[/tex]
Hence, the angular displacement after two seconds = 0.793 rad
Most persons are of the belief that the old time hard or solid iron cars are much safer in collisions than the new model softer cars. But how can newer, softer cars be safer in a collision, considering momentum?
Suman climb a 5 metre high ladder in 10 second calculate his power the mass of his body is 50 kg
Answer:
245W
Explanation:
Given parameters:
Mass of his body = 50kg
Height of climb = 5m
Time = 10s
Unknown:
Power = ?
Solution:
Power is defined as the rate at which work is done;
Mathematically,
Power = [tex]\frac{work done}{time}[/tex]
Work done = mgh
m is the mass
g is the acceleration due to gravity
h is the height
Work done = 50 x 9.8 x 5 = 2450J
Power = [tex]\frac{2450}{10}[/tex] = 245W
You stand on a merry-go-round which is spinning at f = 0:25 revolutions per second. You are R = 200 cm from the center. (a) Find the angular speed ! At which it is spinning. (b) Find the centripetal acceleration, ac with which it is spinning. (c) What is the minimum coefficient of static friction is between your shoes and the floor that will keep you from slipping off?
Answer:
(a) ω = 1.57 rad/s
(b) ac = 4.92 m/s²
(c) μs = 0.5
Explanation:
(a)
The angular speed of the merry go-round can be found as follows:
ω = 2πf
where,
ω = angular speed = ?
f = frequency = 0.25 rev/s
Therefore,
ω = (2π)(0.25 rev/s)
ω = 1.57 rad/s
(b)
The centripetal acceleration can be found as:
ac = v²/R
but,
v = Rω
Therefore,
ac = (Rω)²/R
ac = Rω²
therefore,
ac = (2 m)(1.57 rad/s)²
ac = 4.92 m/s²
(c)
In order to avoid slipping the centripetal force must not exceed the frictional force between shoes and floor:
Centripetal Force = Frictional Force
m*ac = μs*R = μs*W
m*ac = μs*mg
ac = μs*g
μs = ac/g
μs = (4.92 m/s²)/(9.8 m/s²)
μs = 0.5
Answer and I will give brainiest!!!! How much force is needed to accelerate an object of mass 90 kg at a rate of 1.2 m/s2? 0.013 N 75 N 108 N 1080 N
Answer: the answer is 108 N
Just took the test and got 108 N correct
An automobile rounds a curve of radius 50.0 m on a flat road.
The centripetal acceleration to keep the car on the curve is
3.92 m/s2. What is the speed necessary to keep the car on the
curve?
Answer:
14m/s
Explanation:
Given parameters:
Radius of the curve = 50m
Centripetal acceleration = 3.92m/s²
Unknown:
Speed needed to keep the car on the curve = ?
Solution:
The centripetal acceleration is the inwardly directly acceleration needed to keep a body along a curved path.
It is given as;
a = [tex]\frac{v^{2} }{r}[/tex]
a is the centripetal acceleration
v is the speed
r is the radius
Now insert the parameters and find v;
v² = ar
v² = 3.92 x 50 = 196
v = √196 = 14m/s
The speed that is necessary for keeping the car on the curve is 14 m/s.
Given that,
An automobile rounds a curve of radius 50.0 m on a flat road. The centripetal acceleration to keep the car on the curve is 3.92 m/s^2.Based on the above information, the calculation is as follows:
We know that
[tex]a = v^2 \div r[/tex]
Here a denotes the centripetal acceleration.
v denotes the speed.
And, r denotes the radius.
So,
[tex]v^2 = ar\\\\= \sqrt(3.92 \times 50)\\\\= \sqrt{196}[/tex]
= 14 m/s
Therefore we can conclude that the speed that is necessary for keeping the car on the curve is 14 m/s.
Learn more: brainly.com/question/22610586
A 6.0 kg object is pushed with a force of 12 N. If the mass of the object is cut in half to 3.0 kg, what happens to the acceleration if the force remains constant?
Answer:
aceleration doubles
Explanation:
From Newton's secon law, one has
F=m*a
where F is the force, m the mass and a the aceleration.
In general, if m becomes m/2, in order to have the same force,
the acceleration must be doubled:
[tex]F=m*a=\frac{m}{2} (2*a)[/tex]
In our particular case,
[tex]12=6*a=\frac{6}{2} (2*a)\\12=3(2*a)[/tex]
What is the equivalent resistance of the circuit?
Resistors & Notations In Series In Parallel
A, B A + B A | B
A, B, C, D A+B+C+D A | B | C | D
In Combination Example A | B | ( C + D ) A | B | ( C + D )
Dec 1 2020
first answer will be made brainliest
Using the graph from part (c) calculate the spring constant of the spring that the student
used.
Give your answer in newtons per metre
the image shows the information that was on the graph
Answer:
1.75 is the unit rate so yeah
what is the average speed in 4 seconds going 8 meters
Answer:
Explanation:
speed is define as rate of change of distance or displacement
v=s/t
s=8 m
t=4s
v=8/4
v=2 m/s
A dog has a mass of69kg and an acceleration of 2m/s/s. What is the force of the dog?
Answer:
138 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 69 × 2
We have the final answer as
138 NHope this helps you
What is the difference in KE between a 52.5 kg person running 3.50 m/s and a 0.0200 kg bullet flying 450 m/s?
(Unit = J)
Answer:
Ek = 1705.28 [J]
Explanation:
In order to solve this problem, we must remember that kinetic energy can be calculated by means of the following equation.
[tex]E_{k}=\frac{1}{2} *m*v^{2}[/tex]
where:
m = mass [kg]
v = velocity [m/s]
Ek = kinetic energy [J] (Units of Joules)
For the person running
[tex]E_{k} =\frac{1}{2}*52.2*(3.5)^{2} \\ E_{k} =319.72[J][/tex]
For the bullet
[tex]E_{k} =\frac{1}{2} *m*v^{2}[/tex]
[tex]E_{k} =\frac{1}{2} *0.02*(450)^{2} \\E_{k}=2025 [J][/tex]
The difference in Kinetic energy is equal to:
Ek = 2025 - 319.72
Ek = 1705.28 [J]
Answer: 1703.44
Explanation: trust
Solve this system of equations without graphing and show your reasoning
5x+y=7
20x+2=y
Answer:
Explanation:
5x + y = 7
20x - y = -2
25x = 5
x = (1/5)
5(1/5) + y = 7
1 + y = 7 .
y = 6
system of equations 5x+y=7, 20x+2=y
is [tex]x=\frac{1}{5} \\y=6[/tex]
What is system of equations?Orsimultaneous equations, system of equations Two or more equations to be solved in algebra together (i.e., the solution must satisfy all the equations in the system). To have a unique solution, the number of equations must equal the number of unknowns. A set of simultaneous equations is a finite set of equations for which common solutions are sought. It is also referred to as an equation system or a system of equations. Systems of equations are used to solve applications when there are multiple unknowns and enough information to set up equations in those unknowns. In general, we need enough information to set up n equations in n unknowns if there are n unknowns.Therefore,
Calculation
[tex]5x+y=7.............(i)\\20x+2=y..........(ii)[/tex]
adding equations (i) and (ii)
⇒[tex]5x+y=7-(20x-y=-2)[/tex]
⇒[tex]25x=5[/tex]
⇒[tex]x=\frac{1}{5}[/tex]
putting the value of x in equation (i), we get
⇒[tex]5[/tex]×[tex]\frac{1}{5}+y=7[/tex]
⇒[tex]y=7-1[/tex]
⇒[tex]y=6[/tex]
To learn more about system of equations, refer to
https://brainly.com/question/25869125
#SPJ2
Two pieces of evidence for plate tectonics?
Explanation:
fossil and glaciers is the to pieces of evidence
What is technology?
А. the ability to perform a task in a short period of time using little to no energy.
B. the ability to perform a task using a full range of motion in a short period of time.
C. the production of new machines as a result of processes using science and knowledge.
D. the interaction among people, companies, and governments of different nations
Answer:
C. the production of new machines as a result of processes using science and knowledge.
Explanation:
Technology is the application of scientific research and knowledge .
What does rain look like?
Answer:
is about something failing down
it is a water
Explanation:
it falls after the clouds are full from either evaporation or transportation in the water cycle but do not drink it, it is very dirty and bad for you
A 100N effort force is applied to a machine and lifts a 400N object. What is the MA of the machine?
Answer: dum dum
Explanat
What is a bond between a positive and a negative ion charge?
Answer:
Ionic Bond
Explanation:
Answer:
An ionic bond
Helpp pls, with explanation
Answer:
B .
Explanation:
Elastic potential energy stored in a spring is given by;
E=1/2*k*{Δl}² where
k= spring constant
Δl = change is length of spring
if k is different the energy stored in the system is different. This is true also in the case where Δl is different.
For a parallel system, springs help each other to carry the weight. The stiffness doubles up to mean ;
k parallel =2k
and
Δl parallel = 1/2 Δl
so;
E in one spring = 1/2*k*{Δl}²----------{a}
Using {a} this in the parallel system;
E parallel = 1/2 * 2k * {1/2Δl}²
= 1/2 * 2* k* 1/4 *{Δl}²
= 1/2 E in one spring
Answer : Ep / 2
Technology has increased the success of the medical field. Which examples of technology have had a great impact on the medical field?
Answer:
what do you need helo with
HUUUUURRRRRYYYYY
Latent heat of fusion refers to which changes of state?
liquid to solid or solid to gas
solid to gas or gas to liquid
solid to liquid or liquid to solid
gas to liquid or liquid to gas
Answer:
solid to gas or gas to liquid
Explanation:
welcome
Answer:
solid to gas or gas to liquid
Explanation:
Edge
what type of nuclear energy is used for a nuclear reactor power plant
Answer:
Nuclear fission creates heat!!
Explanation:
Reactors use uranium for nuclear fuel. The uranium is processed into small ceramic pellets and stacked together into sealed metal tubes called fuel rods. Typically more than 200 of these rods are bundled together to form a fuel assembly!
P.S. You can search this up!
- Hope this helped you!! :D
An object is moving across a surface, but it does not gain or lose speed. Which best describes the object’s force?
The net force is positive.
The net force is zero.
The positive force is greater than the negative force.
The negative force is greater than the positive force.
Answer:
An object is moving across a surface, but it does not gain or lose speed, the object's net force is zero.
Explanation: The net force means the vector sum of all the forces acting on an object
Answer:
well its not C
Explanation:
Mushroom rocks are:
Group of answer choices
A formed by grains of sand blown across the rocks' surfaces.
B rocks with many mushrooms growing around them.
C formed by wind and water erosion.
D All of the above.
MORE POINTS, BRAINLIEST!!!
Explain what an electrical current is, and describe the parts of a circuit.
Answer: An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space.
Explanation: The parts of a circut bit can easily be found online, but heres a pic i found.
HELP!!
You walk 130 m E and then turn and walk another 43m [E 28 degree S] what is the total displacement?
Answer:
Total displacement 155 m
Explanation:
From the question, the formula to apply will be that of cosine rule where:
[tex]c=\sqrt{a^2+b^2-2ab*cosC}[/tex]
where
a= 43 m , b=130m and c =? , <C=28° + 90° =118°
Substituting values in the equation as;
[tex]c=\sqrt{43^2+130^2-2*43*130*cos118}[/tex]
[tex]c=\sqrt{1849+16900-11180*-0.46947} \\\\c=\sqrt{1849+16900+5249} \\\\c=\sqrt{23998} \\\\\\c=155m[/tex]
An object accelerates 12.0 m/s² when a force of 6.0 newtons is applied to it.
What is the mass of the object
Answer:
0.5 kgExplanation:
The mass of the object can be found by using the formula
[tex]m = \frac{f}{a} \\ [/tex]
f is the force
a is the acceleration
From the question we have
[tex]m = \frac{6}{12} = \frac{1}{2} \\ [/tex]
We have the final answer as
0.5 kgHope this helps you
m = f/a
6 / 12 = 0.5
answer - 0.5
Given a force of 100 N and an acceleration of 5 m/s2, what is the mass
Answer:
20 kg
Explanation:
Mass equals force divided by acceleration, so divide 100 N by 5 m/s2 and you get your mass: 20 kg
Answer: m= 20 kg
Explanation: Use the formula
F = m a
to solve this.
100 N = m (5 m/s²)
100 N / (5 m/s²) = m
20 kg = m
(N is also kgm/s², so when you divide by m/s², you are left with kg.)
White light can be separated into SIX main colors (although colors are continuously blended). List these SIX colors from MOST energetic to least energetic.
Answer:
Violet, blue, green, yellow, orange, red
Explanation:
I just took the astronomy quiz, I got it right
calculate the depth of ocean if ultrasonic pulses produced are received after 9 seconds. ( speed of sound in water = 1498m/s )
Answer:
13482m÷2
Explanation:
1498m÷s×9=13482m÷s
The depth of the ocean if the ultrasonic pulses produced are received after 9 seconds will be equal to, 6741 m.
What is Sound?Sound is a mechanical disruption from an equilibrium position that travels through an elastic medium of material.
It is also possible to define sound solely subjectively, as that which is regarded by the ear, but this definition lacks clarity and is overly constrictive because it is useful to talk about sounds that are manufactured by devices other than the human ear, such as dog whistles and sonar machinery, which cannot do hear by human ear.
The features of sound waves must be examined first in any study of sound. Transverse and longitudinal waves are indeed the two fundamental forms of waves, and they vary by the direction in which they move.
As per the given information in the question,
Let the depth is d.
Total distance the pulse has to travel = 2d
Time taken, t = 9 sec
Speed of sound, V = 1498 m/s
Velocity = Distance/time taken
V = 2d/9
d = 1498 × 4.5
d = 6741 m.
To know more about Sound:
https://brainly.com/question/29707602
#SPJ2
What is the kinetic energy of a 150 gram object moving at a velocity of 100 m/s?
Answer:
750 J
Explanation:
lets convert mass into kg first , 150 /1000 = 0.15 kg
kinetic energy = [tex]\frac{mv^{2} }{2}[/tex] = [tex]\frac{0.15*100^{2} }{2} = 750 J[/tex]
The kinetic energy will be 750 J for an object mass of 150 grams and the object moving at a velocity of 100 m/s.
What is Kinetic Energy?A moving item or particle might have power of a certain type called kinetic energy. When work, which entails the transfer of energy, is done on an object by applying a net force, that object acquires kinetic energy. The kinetic energy of a moving object or particle is a function of its mass and velocity of motion. Vibration, rotation around an axis, translation (or moving along a path from one place to another), or any combination of these might be considered motion.
According to the question, the given values are :
Mass, m = 150 gram or,
m = 150 /1000 = 0.15 kg and,
Velocity, v = 100 m/s.
As we know that the kinetic Energy = 1/2 mv²
K.E = 1/2 (0.15)(100)²
K.E = 1/2 (1500)
K.E = 750 J.
Hence, the kinetic energy will be 750 J.
To get more information about Kinetic Energy :
https://brainly.com/question/12669551
#SPJ2