Centripetal acceleration ac is the acceleration experienced while in uniform circular motion. It always points toward the center of rotation. It is perpendicular to the linear velocity (tangential speed) v and has the magnitude:
[tex]a_c = \dfrac{v^2}{R}[/tex]
Solving for v:
[tex]v = \sqrt{a_c R} = \sqrt{(250\;m/s^2)(0.50\;m)} = 5\sqrt{5}\;m/s \approx 11.18\;m/s[/tex]
The yo-yo’s tangential speed 11.18 m/sec.
What is speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Centripetal acceleration ac is the acceleration experienced while in uniform circular motion. It always points toward the center of rotation. It is perpendicular to the linear velocity (tangential speed) v and has the magnitude:
[tex]a_{c} = v^2/r[/tex]
Solving for v
[tex]v = \sqrt{a_{c}r }[/tex] = 11.18 m/sec
The yo-yo’s tangential speed 11.18 m/sec.
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Typically, a bullet leaves a standard 45-caliber pistol (5.0-in. barrel) at a speed of 262 m/s. If it takes
1 ms to traverse the barrel, determine the average acceleration experienced by the 16.2-3 bullet withim
the gun and then compute the average force exerted on it.
The temperature of a substance is 45 C. Convert this to Kelvin.
Answer:
it will be 318.5 Kelvin
2. (1) A piece of rubber is 50 cm long when a weight of
35 N hangs from it and is 85 cm long when a weight
of 70 N hangs from it. What is the spring constant
of this piece of rubber?
Answer
By F = -kx {-ve just indicating the sign of the force}
=>35 = k x (85-50) x 10^-2
=>k = 100 N/m
Again by F = -kx
Matt is driving his car around a curve that has a radius of 40 m. If his speed is 25 m/s as he negotiates the curve, find the centripetal acceleration for the curve.
A- 13.9 m/s2
B- 24.6 m/s2
C- 15.6 m/s2
D- 7.25 m/s2
Answer:
[tex]\huge\boxed{\sf a_{c} = 15.6\ m/s^2}[/tex]
Explanation:
Given Data:
Radius = r = 40 m
Speed = v = 25 m/s
Required:
Centripetal Acceleration = [tex]\sf a_{c}[/tex] = ?
Formula:
[tex]\sf a_{c} = \frac{v^2 }{r}[/tex]
Solution:
[tex]\sf a_{c} = \frac{v^2}{r} \\\\a_{c} = \frac{(25)^2}{40} \\\\a_{c} = \frac{625}{40} \\\\a_{c} = 15.6 m/s^2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Where is the deepest cave in the world? How far down is it located?
i need help asap please help fast
Answer:
Geology Notes
1 Veryovkina Cave 2212[1] 13.5 km (8.4 mi)[1] Abkhazia / Georgia 43°23′52″N 40°21′37″E.
PLEASE HELP ME IM TIMED
As we know, the moon is a satellite of our earth, what is the
theoretical period of the moon? The average radius of the
moon's orbit is 3.84 108 m and the mass of the earth is 5.97 x
1024 kg (in hours, G = 6.67 x 10-9 N (m/kg) 3).
Answer:c
Explanation:c
This question involves the concepts of the time period, orbital radius, and gravitational constant.
The theoretical period of the moon is "658 hr".
The theoretical time period of the moon around the earth can be found using the following formula:
[tex]\frac{T^2}{R^3}=\frac{4\pi^2}{GM}[/tex]
where,
T = Time Period of Moon = ?
R = Orbital Radius = 3.84 x 10⁸ m
G = Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²
M = Mass of Earth = 5.97 x 10²⁴ kg
Therefore,
[tex]\frac{T^2}{(3.84\ x\ 10^8\ m)^3}=\frac{4\pi^2}{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(5.97\ x\ 10^{24}\ kg)}\\\\T^2=(9.91\ x\ 10^{-14}\ s^2/m^3)(56.62\ x\ 10^{24}\ m^3)\\\\T=\sqrt{561.34\ x\ 10^{10}\ s^2}[/tex]
T = 2.37 x 10⁶ s[tex](\frac{1\ h}{3600\ s})[/tex]
T = 658 hr
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The attached picture shows the derivation of the formula for orbital speed.
The velocity of a mass moving in a circular path is..
I’ll give u BRAINLIEST PLEASE!! HURRY
Answer:
C
Explanation:
who is the prime minister of bangladesh ???
Answer:
Sheikh Hasina is the prime minister of Bangladesh.
Answer:
her name is Sheikh Hasina
A cyclist acceleration from 0m/s to 8m/s in 3second. what is his acceleration?
Answer:
2.66 m/s² .
Explanation:
Initial velocity , u = 0 m/s
Final Velocity , v = 8 m/s
Time Taken , t = 3 s
So , Acceleration = (v-u)/t = (8 m/s - 0 m/s) /3 sec . = 8/3 m/s² = 2.66 m/s²
A football player runs due South for 80 yards then cuts up the field due East for a distance of 45 yards before running into the end zone. What is the total displacement of the player?
Answer:
91.79 yardsExplanation:
Let the direction of the south be -y
Let the direction of the east be +x
The displacement is gotten by using the pythagoras theorem as shown;
Let d be the displacement;
d² = x² + y²
Given
x = 45 yards
y = -80 yards
Substitute the given values into the expression;
d² = x² + y²
d² = 45² + (-80)²
d² = 2025 + 6400
d² = 8425
d = √8425
d = 91.79 yards
Hence the total displacement of the player is 91.79 yards
Rodney hits a 0.060 kg tennis ball straight up with a speed of 15 m/s from a height of 2.2 m above the ground. How fast is the ball going when it is 9.5 m above the ground?
Answer:
Explanation:
From the question we are told that
The mass of the tennis ball is [tex]m = 0.060 \ kg[/tex]
The speed is [tex]u = 15 \ m/s[/tex]
The initial height of the ball is [tex]h_o = 2.2 \ m[/tex]
The height considered is [tex]h = 9.5 \ m[/tex]
Generally the time taken to reach the considered height is mathematically evaluated from the equation of motion as follows
[tex]h = h_o + ut - \frac{1}{2} gt^2[/tex]
=> [tex]9.5 = 2.2 + 15t - \frac{1}{2} * 9.8 t^2[/tex]
=> [tex]7.3 = 15t - 4.9t^2[/tex]
=> [tex]4.9t^2 -15t + 7.3[/tex]
solving the above equation using quadratic formula
[tex]t= 0.6070 \ s[/tex] and [tex]t_1 = 2.454 \ s[/tex]
Generally from kinematic equation we have that
[tex]v = u - gt[/tex]
=> [tex]v= 15 - 9.8 * 0.6070[/tex]
=> [tex]v= 9.0514 \ m/s[/tex]
Note if we had used the second values of time the velocity at 9.5 \ m would have been negative which is not correct given that at maximum height velocity is zero
examples of uniform motion
Answer:
An airplane cruising at a level height and a steady speed.
A car going along a straight level road at steady speed.
A vibrating spring in a sewing machine.
A ship steaming on a straight course at steady speed.
A train going along the tracks at steady speed.
Explanation:
Hope this helps :)
Answer:
Examples of Uniform Motions.
The hr. ...
An airplane cruising at a level height and a steady speed.
A car going along a straight level road at steady speed.
A vibrating spring in a sewing machine.
A ship steaming on a straight course at steady speed.
A train going along the tracks at steady speed
A large ball of Play-Doh with a mass of 0.04kg is launched from a catapult with an initial
speed of 5m/s and an
initial height of 1.0m. What is the final speed of the ball right before it strikes the ground? Draw a picture!
Answer:
≈ 6.68 m/s
Explanation:
A suitable formula is ...
vf^2 -vi^2 = 2ad
where vi and vf are the initial and final velocities, a is the acceleration, and d is the distance covered.
We note that if the initial launch direction is upward, the velocity of the ball when it comes back to its initial position is the same speed, but in the downward direction. Hence the problem is no different than if the ball were initially launched downward.
Then ...
vf = √(2ad +vi^2) = √(2·9.8 m/s^2·1.0 m+(5 m/s)^2) = √44.6 m/s
vf ≈ 6.68 m/s
The ball hits the ground with a speed of about 6.68 meters per second.
__
We assume the launch direction is either up or down.
A parallel-plate capacitor is constructed using adielectric material whose dielectric constant is 3.00 and whose dielectric strength is 2.00X108V/m. The desired capacitance is 0.250 μF, and the capacitor must withstand a maximum potential difference of 4.00 kV. Find the minimum area of the capacitor plates.
Answer:
A = 0.188 m²
Explanation:
First we find the distance between the plates by using the formula of electric field intensity:
E = ΔV/d
d = ΔV/E
where,
d = distance between plates = ?
ΔV = Potential Difference = 4 KV = 4000 V
E = Electric Field = 2 x 10⁸ V/m
Therefore,
d = 4000 V/(2 x 10⁸ V/m)
d = 2 x 10⁻⁵ m
Now, we find the Area of Plates by using formula of capacitance:
C = A∈₀∈r/d
where,
C = Capacitance = 0.25 μF = 0.25 x 10⁻⁶ F
A = Area of Plates = ?
∈₀ = Permittivity of free space = 8.85 x 10⁻¹² C/N.m²
∈r = Dielectric Constant = 3
Therefore,
0.25 x 10⁻⁶ F = A(8.85 x 10⁻¹² C/N.m²)(3)/(2 x 10⁻⁵ m)
A = (0.25 x 10⁻⁶ F)(2 x 10⁻⁵ m)/(3)(8.85 x 10⁻¹² C/N.m²)
A = 0.188 m²
which option lists materials in order by their ability to allow the flow of electrons, from most easily to least easily?
A. Conductor, semiconductor, insulator
B. Semiconductor, insulator, conductor
C. Insulator, semiconductor, conductor
D. Semiconductor, conductor, insulator
Help me pls!
Answer: Conductor, semiconductor, insulator
Explanation:
Just did the quiz
The correct option is option A.
The descending order in which electrons flow easily is:
Conductor, semiconductor, insulator
Conductivity and flow of electrons:The correct order for materials by their ability to allow the flow of electrons, from most easily to least easily is Conductor, semiconductor, insulator.
Conductors are generally metals, they have plenty of free electrons due to which the electron flow is easy. Also, the conduction band and valance band in a conductor overlap, so they can conduct at room temperature.
In the case of semiconductors, the band gap between the conduction band and valance band is almost 1eV, so a little energy is enough to make the flow of electrons possible
Whereas, in insulators, the band gap is quite high and electrons can not jump from the conduction band to the valence band due to which the flow of electrons is not possible.
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A marble is given potential energy by being placed by a location w. When the marble is released it rolls down the track at which location dose the marble have maximum kinetic energy w x or y or z
Answer:
The answer is "Location Y"
Explanation:
Please find the complete question in the attachment.
As we show in the graph when the marble rolling with the full force it will stop on the y location because it is curved, and the marble can't move to another location, that's why the maximum kinetic energy of the marble is at the y location.
What year was the RoboSapien toy robot released?
a) 2007
b) 2004
c) 2020
d) dunno
option b )2004........
Calculate the average speed of a runner who runs for 500 meters in 40 second HELP!
Answer:
12.5
Explanation:
500 divided by 40 = 12.5
please help !!!!! I’ll give brainliest !
I think A but I dont really know
An atom of the element chromium has an atomic number of 24 and a mass number of 52. How many electrons are in an uncharged atom of chromium?
0
24
28
52
Answer:
it's 24
Explanation:
I took the test and got 100 %
Answer:
24
Explanation:
If you are test-driving a Bugatti Veyron and you go from 0 m/s to 124 m/s in 3.7 seconds, what was your acceleration?
Answer:
initial velocity (u) = 0 m/s
Final velocity (v) =124 m/s
Time (t) = 3.7 s
acceleration (a) =?
Now
A =V-U /T
= 124-0 /3.7
= 33.51 m/s^2
A6 kg bag of rice is on the top shelf at a grocery store.
The height of the shelf is 2 meters.
What is the rice bag's gravitational potential energy?
Answer:
117.6 JExplanation:
The gravitational potential energy of a body can be found by using the formula
GPE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
From the question we have
GPE = 6 × 9.8 × 2
We have the final answer as
117.6 JHope this helps you
Answer:
b
Explanation:
Which of these is an appropriate treatment for a deep, bleeding wound?
A. Walk the person around.
B. Remove any embedded object.
C. Elevate the wound.
D. Apply a tourniquet.
Answer:
Elevate the wound.
Hope this helped!
Question 6 of 10
What is the role of the commutator in a DC generator?
O A. It causes the magnetic fields of the permanent magnets to
reverse.
B. It causes the electric current to constantly reverse its direction.
C. It keeps the electric current flowing in one direction.
D. It keeps the magnetic fields of the permanent magnet steady.
SUBMI
Answer:
C. It keeps the electric current flowing in one direction.
Explanation:
just got it correct on my quiz.
The commutator in a DC generator keeps the electric current flowing in one direction option (C) is correct.
What is a DC generator?A direct current generator's principal job is to transform mechanical energy into electricity. Internal combustion engines, water, gas, steam turbines, and even hand cranks are all sources of mechanical energy for DC generators.
The commutator in a DC generator converts the alternate current into the direct current.
Thus, the commutator in a DC generator keeps the electric current flowing in one direction option (C) is correct.
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Which of the following is true about particles of matter?
Answer:
Matter is a substance which has mass and takes up space by volume the properties of matter are,
States of matter (solid,liquid,gas)are inter convertable.
Force of attraction varies from one kind of matter to another.
States of matter can be varied by varying temperature and pressure.
Explanation:
What is the average speed of a race car that moved 20 kilometers in 10 minutes?
Answer:21
Explanation:every body said
what is the weight of a 15 kg object
to get weight multiply Mass by 9.8
weight =9.8x15=147N
A billiard ball traveling at 4m/s has an elastic head-on collision with a billiard ball of equal mass that is initially at rest. The first ball is at rest after the collision. What is the speed of the second ball after the collision?
Answer:
The speed is 4m/s because the size is the same.
Explanation:
The speed of the second ball after the collision is 4 m/s.
What is law of conservation of momentum?According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced. As a result, momentum cannot be gained or lost.
Let the mass of each billiard ball is m.
Before collision speed of first billiard ball: u = 4 m/s.
Before collision speed of second billiard ball: U= 0 m/s.
After collision speed of first billiard ball: v = 0 m/s.
After collision speed of second billiard ball: V= ?
From conservation of momentum, we can write:
Total momentum before collision = Total momentum after collision
mu +M.0 = m.0 + m.V
u = V
V = 4 m/s.
The speed of the second ball after the collision is 4 m/s.
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