The number of complete cycles the rotating mirror goes through before the angular velocity gets to zero is approximately 1166.8 revs
What is angular velocity?Angular velocity is the ratio of the angle turned to the time taken.
The kinematic equation for angular velocity are presented as follows;
ω = ω₀ + α·t
θ = θ₀ + ω₀·t + 0.5·α·t²
Where;
θ₀ = The initial angle turned = 0
ω₀ = The initial angular velocity of the mirrors = 115 rad/s clockwise
α = The angular acceleration = (115 - (-115))rad/s/(85 s) = -46/17 m/s²
t = The duration of the motion;
When the angular velocity, ω is zero, we get;
0 = 115 - 46/17·t
t = 85/2
Which indicates;
θ = 0 + 115× (85/2) + 0.5×(46/17) ×(85/2)² = 7331.25
θ = 7331.25 radians
θ = 7331.25/(2×π) ≈ 1166.8 rev
The mirrors would have turned through approximately 1166.8 revolutions when the angular gets to zero
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A Car Starts from rest and accelerate at the rate of
5m/s' for 8 See It then travels at this speed for another lasse
fer which it was brought to rest in 4sec:
The maximum velocity attained by the car
the time taken to cover the first 18seconds
Calculate the average speed of the Car
When a car is at rest, it begins to accelerate at a pace of 8 Sec at 5 m/s It then continues moving at same speed for another lap after coming to rest in 4 seconds.
The maximum velocity attained by the car, the velocity would be 8m/s.
Initial velocity, u= 0m/s
Distance travelled in 8 sec would be
s= u ×t+ 1/2at²
= 1/2 ×5 ×(8)²
= 160m
Velocity after t= 4sec
= 2×4= 8m/s
What is average velocity?Average velocity is defined as the change in position or displacement (x) divided by the time intervals (t) during which the change occurs. Based on the direction of the displacement, the average velocity might either be positive or negative. The unit of measure for average velocity in the SI is meters per second (m/s or ms-1).
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A particle moving uniformly along a curved path has a period of 0.24 s and a speed of 4.2 m/s. The radius of the path is?
a. 16 cm
b. 2.6 cm
c. 1.0 m
d. 0.062 cm
We obtain the radius of the curved path through which the ball travels as 16 cm. Option A
What is the radius of the path?We know that we can be able to obtain the radius of the path from the period of the path and the velocity of the object by the use of the equation;
V = 2πr/T
Given that;
V = velocity
T = period
r = radius
VT = 2πr
r = VT/2π
r = 4.2 m/s * 0.24 s/ 2 * 3.142
r = 1.008/6.284
r = 0.16 m or 16 cm
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The mass of a planet is 10¹⁸ kg and its radius is 10³ m. Calculate the acceleration due to gravity on its surface. Use the known value of G. [6.673×10^-11 N m² kg^-2]
[tex]g = \frac{GM}{r {}^{2} } \\ g = \frac{6.673 \times 10 {}^{ - 11} \times 10 {}^{18} }{(10 {}^{3}) {}^{2} } \\ g = \frac{6.673 \times 10 {}^{7} }{10 {}^{6} } \\ g = 6.673 \times 10 \\ g = 66.73 \: m.s {}^{ - 2} [/tex]
If the friction force between layers in fluid is dependent on gradient of velocity, area of layer and viscosity coefficient of fluid by using the theory of the dimensions estimate the relation.
The characteristics of the surfaces in contact determine the coefficient of static frictional force. It doesn't depend on how big the surfaces are. Depending on the fluid gradient in velocity between fluid layers.
What viscosity means?It speaks of the friction force of a fluid in motion. A fluid with high viscosity resists motion due of high internal stress created by its molecular structure. In cold conditions, low-viscosity oils help the motor begin more quickly by reducing friction between engine components. Elevated oils, on the other hand, retain the strength and thickness of the film.
How come viscosity is measured?Measurements of viscosity are utilized in the grocery business to increase productivity and cost effectiveness. It has an effect on how quickly a substance moves through a pipe, what it takes to set or dry, and also how quickly the fluid is dispensed into packaging.
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How much energy must a stove transfer to completely heat 1g of liquid water from 1o C to 25o C?
The energy needed by a stove to transfer heat completely to 1 g of liquid water fro 1 °C to 25 °C is 100.37 J.
What is energy?Energy is the ability or the capacity to do work.
To calculate the amount of energy, we use the formula below.
Formula:
Q = cm(t₂-t₁).............. Equation 1Where:
Q = Amount of energyc = Specific heat capacity of the waterm = mass of the watert₂ = Final temperaturet₁ = Initial temperatureFrom the question,
Given:
m = 1 g = 0.001 kgc = 4182 J/kg°Ct₁ = 1 °Ct₂ = 25 °CSubstitute these values into equation 1
Q = 0.001(4182)(25-1)Q = 100.37 JHence, The energy required is 100.37 J.
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Taking into account the definition of calorimetry, the energy that a stove must transfer to completely heat 1 g of liquid water from 1 °C to 25 °C is 100.416 J.
Definition of calorimetryCalorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.
When heat added or removed from a substance causes a temperature change in it without affecting its molecular structure, it is called sensible heat.
So, the expression that allows to calculate heat exchanges is:
Q = c× m× ΔT
where:
Q is the heat exchanged by a body of mass m.c is the specific heat substance.ΔT is the temperature variation.Energy in this caseIn this case, you know:
Q= ?c= 4.184 J/gCm= 1 gΔT= Tfinal - Tinitial= 25 C - 1 C= 24 CReplacing in the definition of calorimetry:
Q = 4.184 J/gC× 1 g× 24 C
Solving:
Q= 100.416 J
Finally, the energy needed is 100.416 J.
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Johnny lets a 0.5 kg ball roll on the floor of the classroom. The ball gradually slows down. Draw a free body diagram and calculate the acceleration of the ball
The free body diagram of the ball as shown shows al the forces that acts on the ball as it rolls on the floor.
What is the free body diagram of the ball?We know that a free body diagram is the diagram that shows the forces that act on an object. Force is a vector quantity thus we must consider the magnitude and the direction of the force. An object can be acted upon by a system of forces. The system of forces would only cause the object to move when the forces are unbalanced. If the system of forces is balanced, the object would not move at all.
In this case, we have a ball that is rolling on a floor. There are four main forces that are acting on the ball as we can see from the free body diagram. These are;
1) The weight of the ball that acts downwards
2) The normal reaction that acts upwards
3) The force that moves the ball forward
4) The force of friction that resists the forward motion of the ball.
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An object with a mass of 7 kg accelerates 8 m/s2 when an unknown force is applied to it. What is the amount of the force?
The amount of force applied to the 7kg object that caused it to accelerate at 8m/s² is 56 newtons.
What is the force applied to the object?A force is simply a push or a pull of an object resulting from the object's interaction with another object.
From newton's second law;
Force = mass × acceleration
Given the data in the question;
Mass of the object = 7kgAcceleration = 8m/s²Applied force = ?Plug the given values into the formula to determine the applied force.
Force = mass × acceleration
Force = 7kg × 8m/s²
Force = 56kgm/s²
Force = 56 N
Therefore, the applied force is 56 newtons.
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If your actual mechanical advantage is 70 J, and the theoretical is 100 J, what is your percent efficiency?
please help
help having issues with the problem
Answer:
2 m/s²
Explanation:
You want the acceleration produced by a force on 14 kg if that same force produces an acceleration of 7 m/s² when acting on a mass of 4 kg.
Inverse proportionFor the same force, the acceleration is inversely proportional to the mass. In this problem, the mass increases from 4 kg to 14 kg, a factor of 14/4 = 7/2.
The acceleration will change by a factor that is the inverse of this: 2/7.
acceleration of 14 kg = (7 m/s²) × (2/7) = 2 m/s²
Patrick walks 6 meters to the south, 3 meters west, 2 meters to the north, and 5 meters to the east. Which of the following is true?
A. His displacement was 4 meters.
B. His distance traveled was 6 meters.
C. His distance traveled was 16 meters.
D.His displacement was 17 meters.
The total energy of a system remains___.
Answer:
It remains Stationary
Explanation:
stationary.
A 487 kg bear grasping a vertical tree slides
down at constant velocity.
The acceleration of gravity is 10 m/s².
What is the friction force that acts on the
bear?
Answer in units of N.
Answer:
4870 N
Explanation:
Since he is not accelerating
the force is equal to his weight mg = 487 * 10 = 4870 N
A boy standing on top of a cliff throws a rock horizontally. The rock hits the ground 2.5 seconds later. How high is the cliff?
Answer:
30 . 7 m
Explanation:
It takes 2.5 seconds for the rock to fall the vertical height
d = 1/2 a t^2
d = 1/2 ( 9.81)(2.5^2) = 30.7 m
The name iron (ll) chloride would indicate that the compound contains
The compound would contain;
iron ions with an 11+ chargetwo ions of chlorine. Options A and C.What is an ionic compound?We have to know that an ionic compound has to d with a compound that is composed of ions. The ions are species that do not have the same number of positive and negative charges.
We have to note that ionic compounds must be composed of two ions that have opposite charges. In this case the iron II ion has a positive charge while the chloride ion has a negative charge.
The chloride ions are two and there is only one iron II ion present.
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Missing parts;
The name iron (II) chloride would indicate that the compound contains
a. iron ions with an 11+ charge
b. iron ions with a negative charge
c. two ions of chlorine
d. none of the above
According to the law of universal gravitation, all objects exert gravitational forces on each other. Which statement best describes the information you need to calculate the gravitational force?
The mass of each object and the distance between the two objects
The mass of the larger object and the distance between the two objects
The distance between the objects and the electrical charge of each object
The weight of the objects and the distance between the two objects
Option -a is correct. The two objects' respective masses and distances from one another.
Which of the following statements about objects in gravitational pull on one another is always true?In other words, a line connecting the two masses is where the force vectors we could depict on each mass lie. When two objects pull on one another due to gravity, this is always true. The lines of those attractional forces run between the centers of mass of the two objects.
Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them, according to Newton's law of gravitation.
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what is the conclusion of a simple pendulum experiment
The surprising conclusion - the pendulum traverses a longer distance in a shorter time, than in a shorter distance, and its period is shorter.
The term "force" has a specific meaning in science. At this level, it is quite acceptable to refer to a force as a push or a pull. A force is not something that an object 'has in it.' Another object applies a force to another. The concept of a force is not limited to living or nonliving things.
The goal of this experiment is to quantify gravity's acceleration using a physical pendulum. A basic pendulum is described as a point mass connected to a massless unstretchable string connected to a rigid support. Mechanical energy is conserved in a simple pendulum with no friction. Total mechanical energy is the sum of kinetic and gravitational potential energy. There is a continual interchange of kinetic energy and gravitational potential energy as the pendulum swings back and forth.
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In class, one sophisticated and expensive demonstration the class would see is where I lifted one end of the table until my book started to slide, then kept the angle fixed. Suppose the coefficient of kinetic friction was μk = 0.490, and the 1.35 kg book started sliding from rest at an angle of 39.7o. What would the speed of the book at the bottom of the 1.27 m long table?
5.03 m/s
2.85 m/s
2.55 m/s
1.28 m/s
In class, one sophisticated and expensive demonstration the class would see in where I lift the table, so the speed of the book at the bottom of the table is 2.55 m/s. Hence, option C is correct.
What is Kinetic friction?A force that acts across sliding surfaces is referred to it as kinetic friction. A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' kinetic friction will determine how much force is applied.
According to the given data in the question,
mgh - (μmg cosθ)s = 1/2 mv²
v²/2 = (9.8)(1.27)(sin 39.7) - (0.49)(9.8)(1.27)(cos 39.7)
v = 2.55 m/s.
Therefore, the speed of the book will be equal to 2.55 m/s.
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Think about a demonstration with a can of compressed gas. The can weighed less after some gas was shot out of the can. How does this show that gas is matter?
The gas is a matter as it has mass and occupies space which is evident from the fact that it weighed less.
Anything that occupies space and has mass is matter.
When the gas was shot out of the can, the can weighed less. This simply means that gas has mass.
Since the gas has mass and does occupy space, so, this shows that gas is matter.
Everything around is made up of matter. There are different types of matter like solids, liquids, and gas. These three are the primary forms of matter. Two other forms are also discovered which are Plasma and Bose-Einstein Condensate.
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An electric motor is used to hoist building supplies from the ground to the roof of a building. How high can it lift a 131 kg bundle of shingles in that time?
The electric motor will lift the 131 kg bundle of shingles at a height of 14 m.
What is gravitational potential energy?Gravitational potential energy is the energy exhibited by an object because of a change in its position in the presence gravitational field.
The gravitational potential energy of an object at height h from the surface of the earth is given by:
[tex]U = mgh,[/tex] where m is the mass of the object.
Given, the power of the electric motor, P = 1.5 KW, and time, t - 12 s
Power = Work/ time
Work = Power × time
Work = 1500 ×12 = 18000 J
Given, the mass of the object, m= 131 Kg
The gravitational potential energy, U = 18000J
The height of the bundle of shingles can be determined as:
18000 = 131 ×9.8 ×H
H = 14 m
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Your question was incomplete most probably complete question was,
An electric motor is used to hoist building supplies from the ground to the roof of a building. How much work can the motor do in 12 seconds if its power output is 1.5 kW. How high can it lift a 131 kg bundle of shingles in that time?
si un avión tarda 2 segundos en recorrer 160 metros ¿cuál es su velocidad en km/h?
Answer:
la velocidad del avion es de 304 km/h
Explanation:
Según la pregunta,
La distancia recorrida por un avión en 2 segundos es de 160 metros.
Entonces, para encontrar la velocidad, debemos dividir la distancia recorrida por el tiempo que se tarda en recorrer esa distancia.
[tex] \rm \implies Velocidad = \dfrac{distancia}{tiempo \: empleado} \\ \\ \rm \implies Velocidad = \frac{160}{2} \\ \\ \rm \implies Velocidad = 80 \: m {s}^{ - 1} [/tex]
Para convertir m/s a km/h, el numerador debe dividirse por 1000 y el denominador debe dividirse por 3600. Esto implica que la cantidad total que se da en m/s debe multiplicarse por 3600/1000.
Al convertirlo en forma mínima, la cantidad dada en m/s debe multiplicarse por 18/5 para convertirla en km/h.
[tex] \therefore [/tex]
[tex] \rm \implies Velocidad = 80 \times \dfrac{18}{5} \: km {h}^{ - 1} \\ \\ \rm \implies Velocidad = 16 \times 19 \: km {h}^{ - 1}\\ \\ \rm \implies Velocidad = 304 \: km {h}^{ - 1}[/tex]
The form of energy found in moving objects is ___??
Answer:
kinetic energy
Explanation:
It is kinetic energy because it is an energy in motion. In order words it is an energy which the body or object moves.
A 10 kg object is on a movable platform. Rank the size of the normal force acting on the object from largest to smallest.
a) The object is at rest and the platform is not moving
b) the object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary
c) the object is at rest on the stationary platform and there is an upward force of 10N applied to the top of the object while it remains stationary
d) the platform is accelerating the object upward at 1.5 m/s^2
e) the platform is accelerating the object downward at 0.5 m/s^2
The size of the normal force acting on the object from largest to smallest are;
(b) The object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary.
(e) The platform is accelerating the object downward at 0.5 m/s^2.
(a) The object is at rest and the platform is not moving.
(c) The object is at rest on the stationary platform and there is an upward force of 10N applied to the top of the object while it remains stationary
(d) the platform is accelerating the object upward at 1.5 m/s^2.
What is normal force?
The normal force of an object is the upward force exerted on the object by the supporting surface due to weight of the object acting downwards.
The formula for normal force is given as;
Fn = mg
where;
m is mass of the objectg is acceleration due to gravityThe normal force on the 10 kg object when it is at rest and the platform is not moving,
Fn = mg
Fn = 10 x 9.8
Fn = 98 N
When the object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary,
Fn = (10 x 9.8) + 10 N
Fn = 108 N
When the object is at rest on the stationary platform and there is a upward force of 10N applied to the top of the object while it remains stationary,
Fn = (10 x 9.8) - 10 N
Fn = 88 N
When the platform is accelerating the object upward at 1.5 m/s^2
Fn = (10 x 9.8) - (1.5 x 10)
Fn = 98 N - 15 N
Fn = 83 N
When the platform is accelerating the object downward at 1.5 m/s^2
Fn = (10 x 9.8) + (10 x 0.5)
Fn = 103 N
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A cart is sliding across a horizontal floor. It has a mass of 25 kg and a force of 250 N. Using Newton's second law, a = F ÷ m, what is the acceleration of the cart?
0.1 m/s2
5 m/s2
10 m/s2
25 m/s2
Answer:
10m/s2
Explanation:
250/25=10
The decibel rules of thumb can be combined. (a) If a sound has intensity xdB, how many dB does a sound 100 times more intense have? (b) If another sound has intensity ydB, how many dB does a sound 4 times less intense have? (c) Combine what you know about (a) and (b): If a sound has intensity zdB, how many dB does a sound 25 times more intense have?
True or false: Rocks have different properties such as hardness and texture
True. Rocks have different properties.
What are Rocks?Rocks are naturally formed, consolidated material composed of grains of one or more minerals. Rocks are grouped into three categories depending on their origin:
igneous (formed from solidification of molten material)sedimentary (formed by the accumulation of fragmental material derived from preexisting rocks of any origin as well as the accumulation of organic material or precipitated material)metamorphic (occur as a result of high pressure, high temperature and the chemical activity of fluids changing the texture and (or) mineralogy of preexisting rocks).Physical properties of RocksThere are many physical properties of rocks, they may include; color, crystal form (or shape), hardness, luster (or shine), density, texture and fracture (how the rock disintegrates)
In conclusion, all rocks have different physical properties; texture and hardness are few of the possible properties.
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Friction is a force that resists motion between surfaces that are touching each other
Answer:
Yes.
Friction is the force which resists the motion of an Object. Measured in Newtons.
formula = F=ma, where f is the force, m is the mass and a is the acceleration
Can u pls show me what a velocity time graph would look like when it’s “moving at a negative constant velocity but then decelerates to a rest”? I cant figure out how it can decelerate to zero is deceleration is going down
If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period equals the change in velocity during that time period.
What happens to an acceleration graph when velocity is constant?Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.
During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.
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16. [-/1 Points] DETAILS SERCP11 8.6.P.069.
MY NOTES
ASK YOUR TEACHER
A solid, horizontal cylinder of mass 12.2 kg and radius 1.00 m rotates with an angular speed of 5.50 rad/s about a fixed vertical axis through its center. A 0.250-kg piece of putty is
dropped vertically onto the cylinder at a point 0.900 m from the center of rotation and sticks to the cylinder. Determine the final angular speed of the system.
rad/s
PRACTICE ANOTHER
The final angular speed of the system that contains a solid, horizontal cylinder of mass 12.2 kg and radius 1.00 m rotates with an angular speed of 5.50 rad/s about a fixed vertical axis through its center is 5.33 rad / s
Let M and R be mass and radius of the cylinder. Let m and r be mass and distance of piece of putty.
M = 12.2 kg
R = 1 m
ω = 5.5 rad / s
m = 0.25 kg
r = 0.9 m
According to law of conservation of angular momentum,
1 / 2 M R² ω = ( 1 / 2 M R² + m r² ) ω'
1 / 2 * 12.2 * 1 * 5.5 = [ ( 1 / 2 * 12.2 * 1 ) + ( 0.25 * 0.9² ) ] ω'
ω' = 33.55 / 6.3
ω' = 5.33 rad / s
Therefore, the final angular speed of the system is 5.33 rad / s
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A person with a weight of 190 N sits on a box with a weight of 20 N, what is the normal force on the box?
The normal force on the box is 210 N.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Normal force on the box = total Weight of box and person = 210 N.
The normal force on the box is 210 N.
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Regarding the likelihood of planets orbiting other stars,
I hate to leave you answer less, but there isn't even a question here to answer.
