Answer:
8.42Joules
Explanation:
The rotational kinetic energy, denoted by E(rotational), can be calculated using the formula:
E(rotational) = 1/2 × I × ω²
Where;
I = moment of inertia (kgm²)
ω = angular velocity (rad/s)
However, we need to calculate the moment of inertia in this question by using the formula:
I = m × r²
Where;
m = mass (1.3kg)
r = radius (0.6m)
I = 1.3 × 0.6²
I = 1.3 × 0.36
I = 0.468 kgm²
Since I = 0.468 kgm², ω = 6 rad/s, we can calculate rational kinetic energy using:
K.E(rotational) = 1/2 × I × ω²
K.E(rotational) = 1/2 × 0.468 × 6²
K.E(rotational) =1/2 × 0.468 × 36
K.E(rotational) = 18 × 0.468
K.E(rotational) = 8.424
K.E(rotational) = 8.42Joules
A block of cheese is pulled on by a string and slides to the right along a rough surface.
What is the correct free body diagram for the block of cheese?
Answer:
Explanation:
KHAN ACADEMY
The free body diagram of the cheese block is attached with the answer.
What is free body diagram?A free body diagram consists of a diagrammatic representation of a single body or a subsystem of bodies isolated from its surroundings showing all the forces acting on it.
Given is a block of cheese is pulled on by a string and slides to the right along a rough surface.
The free body diagram of the cheese block is given with the image attached. The force applied for the forward motion of the block is greater in magnitude than the frictional force. The weight of the block is balanced by the normal reaction force. The following mathematical relations can be written -
F - F(f) = ma
and
mg = N
m = N/g
So -
F - F(f) = (N/g)a
Therefore, the free body diagram of the cheese block is attached with the answer.
To solve more questions on Free body diagram, visit the link below-
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2. What are the three phases of water?
solid, liquid, gas
conduction, convection, radiation
high, medium, low
positive, negative, neutral
Answer:
solid, liquid, gas
Explanation:
The three phases of water are the three states of matter water can be found in, and that is:
solid (as in ice)
liquid (as in water)
gas (as in water vapor)
A student walks 4 block east, 7 blocks west, 1 blocks east then 2 blocks west in an hour her average speed is____ block/hour
Answer:
2 m/s
Explanation:
The total time = 1 hour
The vertical displacement = 1 - 1
Vertical displacement = 0
Horizontal displacement = 4 - 2
Horizontal displacement = 2
Total displacement = sqrt (2^2 - 0^2)
Displacement - 2
Average velocity is displacement/time
= 2x1
= 2 m/s
The average velocity is 2 metres per second.
Red light of wavelength 633 nmnm from a helium-neon laser passes through a slit 0.400 mmmm wide. The diffraction pattern is observed on a screen 2.90 mm away. Define the width of a bright fringe as the distance between the minima on either side.
Required:
a. What is the width of the central bright fringe?
b. What is the width of the first bright fringe on either side of the central one?
Answer:
a
[tex]y_1 = 0.004589 \ m[/tex]
b
[tex]y_2 =0.009179 \ m[/tex]
Explanation:
From the question we are told that
The wavelength of the red light is [tex]\lambda _r = 633 \ nm = 633 *10^{-9} \ m[/tex]
The width of the slit is [tex]d = 0.40 mm = 0.40 *10^{-3} \ m[/tex]
The distance of the screen from the point of diffraction is [tex]D = 2.9 \ m[/tex]
Generally the width of the central bright fringe is mathematically represented as
[tex]y_1 = \frac{\lambda * D}{d}[/tex]
=> [tex]y_1 = \frac{633 *10^{-9} * 2.90 }{0.40 *10^{-3}}[/tex]
=> [tex]y_1 = 0.004589 \ m[/tex]
Generally the width of the first bright fringe on either side of the central one is mathematically represented as
[tex]y_2 = 2 * y_1[/tex]
=> [tex]y_2 = 2 * 0.004589[/tex]
=> [tex]y_2 =0.009179 \ m[/tex]
The mass of Jupiter is 0.001 solar mass. The orbital period of Jupiter is 11.9 Earth years.
What is the distance between Jupiter and the Sun?
5.2 AU
41 AU
52 AU
410 AU
Answer:
The distance between Jupiter and the Sun is 5.2 AU.
The answer would be A: 5.2 Au away from the sun (AU is the unit that is the same length as the distance between Earth and the Sun)
What is the critical angle for light traveling from crown glass (n = 1.52) into water (n = 1.33)?
42 degrees
48 degrees
57 degrees
61 degrees
Answer:
61 degrees, I just did the test.
Explanation:
Answer: 61 degrees
Explanation:
I just did the question and got it right
Is a man kicking ball potential or kinetic?
what are some possible results of constructive forces on earth's surface
Answer:
what are the choices
Explanation:
Answer:
Landforms are a result of a combination of constructive and destructive forces. Collection and analysis of data indicates that constructive forces include crustal deformation, faulting, volcanic eruption and deposition of sediment, while destructive forces include weathering and erosion.
Explanation:
What is the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum
Explanation:
We need to find the index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum.
The wavelength in any medium is given by :
[tex]\lambda_m=\dfrac{\lambda}{n}[/tex]
Where, [tex]\lambda[/tex] is wavelength in vacuum and n is refractive index of the medium.
[tex]n=\dfrac{\lambda}{\lambda_m}\\\\n=\dfrac{\lambda}{0.671\lambda}\\\\=\dfrac{1}{0.671}\\\\=1.49[/tex]
So, the medium can be PMMA (acrylic, plexiglas, lucite, perspex) which have a refractive index of 1.49.
The index of refraction of the material for which the wavelength of light is 0.671 times, the value of it in a vacuum is 1.49.
What is the index of refraction of a material?The index of refraction of a material is the ratio of wavelength of the wave in vacuum to the wavelength of the wave in the given medium.
The index of refraction is inversely proportional to the wavelength. It can be find out using the following formula.
[tex]n=\dfrac{\lambda}{\lambda_m}[/tex]
Here, (λ) is the wavelength in vacuum and (λm) is the wavelength in a medium.
The index of refraction of a material for which the wavelength of light is 0.671 times its value in a vacuum (0.671×λ).
Plug in the values in the above formula,
[tex]n=\dfrac{\lambda}{0.671\times\lambda}\\n=1.49[/tex]
Thus, the index of refraction of the material for which the wavelength of light is 0.671 times, the value of it in a vacuum is 1.49.
Learn more about the index of refraction here;
https://brainly.com/question/10729741
big ideas
key questions and terms notes
Answer:
what i and confused
Explanation:
Answer:
nerd
Explanation:
I H4+3 U
PLEASE HELP!
A Cadillac Escalade car and a Mini Cooper car are both making a sharp right turn. The Escalade is four times more massive than the Mini Cooper. If both cars make the turn with the same constant speed, how do the centripetal forces acting on the two cars compare? Hint: use the Fc equation to consider how increasing the mass will affect the force.
The centripetal force cannot be determined without more information.
The centripetal force on the Mini Cooper is four times greater than that of the Cadillac Escalade.
The centripetal force on the Cadillac Escalade is four times greater than that of the Mini Cooper.
The centripetal force is the same for both cars.
Is a bow and arrow by themselves potential or kinetic?
Answer:
Potential energy
Explanation:
When the string is released, the potential energy is converted to kinetic energy in the movement of the arrow. The string pushes the arrow out and is the driving force behind the motion.
A block with a mass of 10 kg is pulled at a 20 degree angle with a force of 75 N. The force of friction acting on the block is 15 N. What is the acceleration of the block in m/s??
Round your answer to the nearest tenth. (Numbers Only!
Type your answer
There are 4 forces acting on the block:
• its weight (magnitude w = m g = 98 N, where m = 10 kg and g = 9.80 m/s²), pointed downward
• the normal force (mag. n), pointed upward
• friction (mag. f = 15 N), pointing opposite the direction of motion
• the pulling force (mag. p = 75 N), pointing at a 20° angle with the positive horizontal direction
Let the direction in which the block is being pulled be the positive horizontal direction, and upward the positive vertical direction. Split up each force into their horizontal and vertical components, then apply Newton's second law. We have a net horizontal force of
∑ F = p cos(20°) - f = m a
where a is the acceleration of the block. The net vertical force is 0, since the block gets dragged along the surface and doesn't move up or down (presumably).
Solve for a :
(75 N) cos(20°) - 15 N = (10 kg) a
a ≈ 5.4 m/s²
Scientists monitoring and predicting future volcanic eruptions can givr people living near Mt/ St. Helens prior warning so that they can take action. What additional measures could help reduce the negative impacts of a future eruption?
Answer:
first thing first they really have to concern about this,
and second one is people should leave those hazardous places
Answer:
-Emergency evacuation roadways could be designed.
-An Evacuation plan could be organized.
-Warning Sirens could be designed.
Explanation:
Those 3 are the answer.
The bowling ball in the following figure is whizzing down the bowling lane at 4 m/s. If the mass of the bowling ball is 7 kg, what is its kinetic energy?
Answer:
Answer for this question is 3590792.
56 Joules
Explanation:We are given:
Mass of the Ball = 7 kg
Velocity of the Ball= 4 m/s
Kinetic Energy of the Ball:
We know that:
Kinetic Energy = 1/2 (Mass * Velocity²)
replacing the values
Kinetic Energy = 1/2(7 * (4)²)
Kinetic Energy = 1/2(7 * 16)
Kinetic Energy = 56 Joules
Why is science important for society? (2 points)
a
It helps make decisions based on scientific reasoning.
b
It proves that all questions can be answered using science.
c
It emphasizes the importance of human choice in decision making.
d
It shows that all social problems can be solved using scientific knowledge.
Answer:
i think its d
Explanation:
i took this quiz and got 100 percent
Scientists from NASA discovered a Nebula with doubled the mass as the Nebula from which our Solar System formed. Explain the similarities and differences between the Solar System that will form from that Nebula and our Solar System. (Note: your response must include a discussion of gravity.)
Answer:
it forms another one
Explanation:
our solar system was formed by a nebula so that nebula is supposed to form another one
Average formula is...?
Answer:
total sum of all numbers/ number of items in the set
Explanation:
THIS QUESTION Blow my brains out I need helpppp y'all
Answer:
I am a math genus and this one is hard 3142 i think you multiple
Calculate the height from which a body is released from rest if its velocity just before hitting the ground is 30 meter per seconds?
Explanation:
u = 0m/s
v = 30m/s
a = g = 10m/s²
s = H = ?
using the formula,
v² = u² + 2as
30² = 0² + 2(10)(H)
900 = 20H
H = 900/20
H = 45m
Answer:
the answer is
45m - height
A rock of mass 0.340 kg is spun horizontally at the end of a wire that has a diameter of 1.00 mm. If the wire gets stretched by 2.00 mm when the rock moves at a speed of 19.0 m/s, what is the Young's modulus of the wire?
Answer:
Y = 78.13 x 10⁹ Pa = 78.13 GPa
Explanation:
First we will find the centripetal force acting on the wire as follows:
F = mv²/r
where,
F = Force = ?
m = mass of rock = 0.34 kg
v = speed = 19 m/s
r = length of wire
Therefore,
F = (0.34)(19)²/r
F = 122.74/r
now, we find cross-sectional area of wire:
A = πd²/4
where,
A = Area = ?
d = diameter of wire = 1 mm = 0.001 m
Therefore,
A = π(0.001)²/4
A = 7.85 x 10⁻⁷ m²
Now, we calculate the stress on wire:
Stress = F/A
Stress = (122.74/r)/(7.85 x 10⁻⁷)
Stress = 1.56 x 10⁸/r
Now, we calculate strain:
Strain = Δr/r
where,
Δr = stretch in length = 2 mm = 0.002 m
Therefore,
Strain = 0.002/r
now, for Young's modulus (Y):
Y = Stress/Strain
Y = (1.56 x 10⁸/r)/(0.002/r)
Y = 78.13 x 10⁹ Pa = 78.13 GPa
A car traveling at point k the car travels south for 8.0 km it then travels west for 5.0 km next it travels for 4,0 what is the total displacement of the car
What is this?
Explanation:
A mass M is attached to a spring with spring constant k. When this system is set in motion with amplitude A, it has a period T. What is the period if the mass is doubled to 2M
Answer:
T' = o.707T
Explanation:
[tex]T = 1/2\pi \sqrt{k/m} \\\\m'=2m then\\T' = 1/2\pi \sqrt{k/m'}\\ = 1/2\pi \sqrt{k/2m}\\T' = \frac{(1/2\pi \sqrt{k/m}\\)}{1.4} T' = \frac{T}{1.4}\\T' = 0.707T[/tex]
how many significant figures are in 46 m?
What is the angle of refraction?
15 degrees
30 degrees
74 degrees
Answer:
74 degrees
Explanation:
***************
Answer:
74 degrees on edge
Explanation:
WILL MARK BRAINLIEST -- The Earth’s velocity is shown by a red vector. Which best describes the Earth’s velocity?
a. It is constant in magnitude and direction
b. It is constant in magnitude but not constant in direction
c. It is not constant in magnitude but is constant in direction
d. It is not constant in magnitude or direction
A cannonball is launched horizontally with an initial speed of 48.0m/s. Determine
all unknowns.
m/s
initial speed:
initial horizontal speed:
initial vertical speed:
A/s
m/s
A
• initial speed: 48.0 m/s
The cannonball is shot horizontally, so
• initial horizontal speed: 48.0 m/s
• initial vertical speed: 0
A hollow ball, rolls down a hill that is 9 meters high. What is the velocity at the bottom of the hill?
Answer:
13.28m/s
Explanation:
Given
Distance covered by the ball S = 9m
initial velocity u = 0m/s
Required
velocity at the bottom of the hill (final velocity)
Using the equation of motion
v² = u²+2gS
v² = 0²+2(9.8)(9)
v² = 18(9.8)
v² = 176.4
v = √176.4
v = 13.28m/s
Hence the velocity at the bottom of the hill is 13.28m/s
A stone sphere of radius 7.00 m rests in a flat field. Relative to the ground, what is the gravitational potential energy of a 90.0-kg person sitting on the very top of the sphere?
a. 7.76 x 104 J
b. 1.23 x 104 J
c. 3.88 x 104 J
Answer:
(B) 1.23 x 10⁴ J
Explanation:
Given;
radius of the sphere, r = 7.0 m
diameter of the sphere, d = 2r = 14.0 m
mass of the person sitting on the sphere, m = 90.0 kg
The gravitational potential energy of the person is given by;
P.E = mgh
where;
g is acceleration due to gravity = 9.8 m/s²
h is the height above the ground level = d = 14.0 m
P.E = mgh
P.E = (90)(9.8)(14)
P.E = 12348 J
P.E = 1.2348 x 10⁴ J
Therefore, the gravitational potential energy of the person is 1.2348 x 10⁴ J
A laser (electromagnetic wave) has the maximum electric field strength of 1.0x1011 V/m. What is the force the laser applies on a mirror (totally reflective) of 5.0 mm2 area? A. 2.76 x105N B. 1.21 x106N C. 1.94 x106N D.4.43 x105 N E. 7.82 x104N
Answer:
The correct option is D
Explanation:
From the question we are told that
The maximum electric field strength is [tex]E = 1.0 *10^{11} \ V/m[/tex]
The area is [tex]A = 5.0 \ mm^2 = 5.0 *10^{-6} \ m^2[/tex]
Generally the force the laser applies is mathematically represented as
[tex]F = \epsilon_o * E ^2 * A[/tex]
Here [tex]\epsilon_o = 8.85*10^{-12} C/(V \cdot m)[/tex]
[tex]F = 8.85*10^{-12} * (1.0 *10^{11}) ^2 * 5.00*10^{-6 }[/tex]
=> [tex]F = 4.43 *10^{5} \ N[/tex]