The minimum magnitude of the force f is 21 N needed to cause the movement of a 5 kg box pulled by a horizontal force.
What is force and how is the magnitude of force comes out to be 21 N ?Force is the newtonian quantity which represents the product of mass and acceleration.The mass of the box is given to be 5 kg and the box is 60 cm wide and the height is 100 cm .When the block about to rotate normal shifted to the edge of the cube , mg(w/2) = Fh, F = mgx (w/2)= Fh taking g as 9.8 m/s^2.Substituting the values , F = (5 × 9.8 ( 60/2)) / 70Then the force would be , F = (5 × 9.8 × 30 ) / 70,F = 1470 / 70,F = 21 N.Hence the magnitude of the force comes out to be 21 N.Therefore when a 5 kg box is pulled by a horizontal force f applied to the top of the box, the minimum magnitude of the force f needed is 21N.To know more about force visit:
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5. In an emergency, the driver of a 1.3 x 10³-kg car slams on the brakes, causing the car to skid forward on the road. The coefficient of kinetic friction between the tires and the road is 0.97, and the car comes to a stop after travelling 27 m horizontally. Determine the work done by the force of friction during the skidding.
The work done by the force of friction during the skidding, given that the car comes to a stop after travelling 27 m horizontally is 333660.6 J
How do I determine the work done?We'll begin by obtaining the frictional force. This can be obtained as follow:
Mass (m) = 1.3 x 10³ KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = mg = 1.3 x 10³ × 9.8 = 12740 NCoefficient of kinetic friction (μK) = 0.97Frictional force (F) = ?F = μKN
F = 0.97 × 12740
Frictional force = 12357.8 N
Finally, we shall determine the work done by the force of friction. This is illustrated below:
Frictional force = 12357.8 NDistance (d) = 27 mWorkdone (Wd) =?Work done (Wd) = force (F) × distance (d)
Wd = 12357.8 × 27
Wd = 333660.6 J
Thus, we can conclude that the work done by the force of friction is 333660.6 J
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a car speeds up from 22 m/s to 26 m/s in 2 seconds. what is the average acceleration of the car
Answer:
2 m/s^2
Explanation:
Acceleration is change in velocity over change in time
(26-22) m/s / 2 s = 2 m/s^2
Stan argues that momentum cannot be conserved when a collision is not a head-on collision. Rachel insists it is conserved because each body receives an impulse of equal magnitude. Rachel is correct because?.
Rachel is correct because during the collision, each body exerts an equal and opposite force on the other, the forces act at equal time intervals, and the law of momentum and vector equation represents conservation for an isolated system.
What exactly is the law of momentum?The law of momentum conservation states that within an isolated system in which two or more bodies act on each other (collision of objects), the total momentum remains constant because momentum is neither created nor destroyed, but only changed by the application of external forces as described by Newton's laws of motion. Furthermore, the law states that the force acts on both objects at the same time and that the forces between the objects are equal.
That is stated by the law of momentum conservation. The total momentum of two or more bodies acting on each other in an isolated system remains constant unless an external force is applied.
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a laser dazzles the audience in a rock concert by emitting red light with a wavelength of 685 nmnm . calculate the frequency of the light.
Wavelength of 685 nmnm and the frequency of the light 0.43765322
What is the frequency of the light ?Light has a wavelength of 685 nm, which can alternatively be written as 685 x 10-9 m. Wavelength: [=]
We are aware that light travels at a speed of 299 792 458 m/s, or around 3 x 108 m/s. [light speed equals c]
We may use the following formula to determine the frequency (f) given the two values:
f = c / ʎ
replacing the specified values:
f = (685 x 10-9 m) / (3 x 108 m / s)
f = 0.43765322
The frequency of the light 0.43765322
The range of the frequency of visible light is roughly 400 to 700 THz. A Terahertz, or THz, is a frequency measurement equal to one trillion Hertz. the range of electromagnetic fields. f = (463 x 10-9 m) / (3 x 108 m / s)to learn more about frequency of the light refer to:
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if a falling ball made a perfectly elastic collision with the floor, would it rebound to its original height? explain.
When dumped, it would rebound all the way up to the original height.
What occurs when an impact is perfectly elastic?If there is no kinetic energy lost during contact, the collision is entirely elastic. In an inelastic collision, some of the kinetic energy is converted into another kind of energy during the contact.
The system's overall kinetic energy, which includes the interacting items, remains constant both before and after the impact. A very buoyant ball might serve as an illustration of an elastic collision. If you dropped it, it would return to its original height after bouncing all the way down.
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if the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground?
Static friction between the ladder and the ground has a coefficient of
[tex]\mu_{s}[/tex] = 0.303.
A measure of static friction.The maximum static friction force (F) that can exist between two surfaces before movement starts is divided by the normal force (N) to determine the coefficient of static friction.
x₁ = 8
x₂ = a₁
x₃ = x₁ cos θ
x₃ = 8 cos61 = 3.87m
x₄ = x₂cosθ = 9.1cos 61
x₄ = Lsin 60 = 16sin 60
[tex]x_{s}[/tex] = 13.856m
w₁ = mg = 840
w₂ = mg = 490
N₁ = mg + mg = 490+840 =1330N
N₂ = f = [tex]\mu_{s}[/tex]N₁
Torque about point is zero
[tex]\sum[/tex]Z = 0
mgx₃ +mgx₁ = N₂[tex]x_{s}[/tex]
N₂ = 490×387+840×4.41/13856
N₂ = 404.268
[tex]\mu_{s}[/tex] = N₂/N₁ = 404.268/1330 = 0.303
[tex]\mu_{s}[/tex] = 0.303
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a charged particle of mass 0.0020 kg is subjected to a magnetic field which acts at a right angle to its motion. if the particle moves in a circle of radius at a speed of what is the magnitude of the charge on the particle?
The magnitude of the charge on the particle is 0.0083 C.
Solution:
The centripetal force if it is moving in a circle is mv^2/r. Since this is coming from the magnetic force, then
mv^2/r = qvB
q = (mv^2/r)/(vB) = (mv)/(rB)
q = .002*5/(.2*6) = 0.0083 C
The magnitude of the electric field E produced by a charged particle at a point P is the electric force per unit positive charge exerted on another charged particle at that point. The direction of the electric field is the direction of the force on the positive charge. The electric field vector magnitude is calculated as the force per charge for any testing charge in the electric field.
The force on the test charge can be directed toward the source charge or directly away from the source charge. Electron charge can be determined simply by placing a known number of electrons on one electrode of a capacitor and measuring the voltage Vs across the capacitor.
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A person can jump a horizontal distance of 3.43 m on the earth. the acceleration of gravity is 8.92 m/s how far could he jump on the moon, where the free-fall acceleration is 0.208g? answer in units of m.
A person who jumps a horizontal distance of 3.43 m on the earth will be able to jump a horizontal distance of 16.5 m on the moon.
Using the equation of projectile motion, the maximum distance formula is:
R = u² . sin(2α) / g
Where:
u = initial velocity
g = acceleration due to gravity
α = elevation angle
Assuming that the initial velocities, both on the moon and on the earth are the same both in magnitude and direction, hence the maximum distance is inversely proportional to the acceleration due to gravity.
Therefore,
Rm : Re = ge : gm (m and e refers to moon and earth)
Rm : 3.43 = g : 0.208g
Rm = 3.43 / 0.208 = 16.5 meters
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what is the total force on the bottom of a swimming pool 15.0 m by 5.7 m whose uniform depth is 2.1 m ? express your answer using two significant figures.
Swimming is a team or individual sport that requires using one's entire body to move through the water. Total force on the bottom of a swimming pool is 5.5251
Explain about the swimming?It has been demonstrated that swimming regularly lowers your risk of developing major conditions like heart disease, type 2 diabetes, and stroke. Additionally, it can aid in weight loss and enhance overall flexibility, strength, and mobility.
In recreational and competitive swimming, the body is propelled through the water using a combination of arm and leg actions as well as its inherent buoyancy.
Swimming does in fact alter your body's shape. Your body will become increasingly unrecognizable as you swim, even to yourself. Many of us desire the slightly extended, broad-shouldered, slim, and fit body type that swimming produces.
Swimming is a team or individual sport that requires using one's entire body to move through the water. The game is played in swimming pools or open water.
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the amount of net force required to keep a 15-kg object moving rightward with a constant velocity of 3 m/s is .
The net force required to move the object of mass 15 kg and constant velocity is 0N
The mass of the object = 15 kg
The object is moving with a constant velocity = 3 m/s.
The net force required to move the object can be calculated by using the formula,
F = ma
where F is the force
m is the mass
a is the acceleration.
The acceleration is nothing but a rate of change of velocity (i.e. a = v/t). But for a constant velocity, the acceleration will be zero. Because there will be no change in velocity.
Therefore, the net force is
F = 15 x 0
= 0 N
Therefore, the net force is 0 N
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Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s. What makes this interesting is that he juggles three balls as he runs the distance. Suppose Hout throws a ball up and forward at twice his running speed and just catches it at the same level. At what angle, θ, must the ball be thrown? (Hint: Consider horizontal displacements for Hout and the ball.)
Answer:
60 degrees
Explanation:
The ball must be thrown at an angle 60°.
Given parameters:
Michael Hout of Ohio can run 110.0 meter hurdles in 18.9 s at an average speed of 5.82 m/s.
Hout throws a ball up and forward at twice his running speed and just catches it at the same level.
So, Speed of the ball = 2× 5.82 m/s. = 11.62 m/s.
The angle at which the ball thrown = θ.
According to the question,
Horizontal component of speed of the ball = Speed of Hout
⇒ 11.62 cosθ = 5.82
⇒ cosθ = 0.5
⇒ θ = 60°.
Hence, the ball must be thrown at 60° angle.
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if someone asked you whether their house could be heated with solar heat, what characteristics would you look for?
Solar house would have linear east-west floor designs with huge south-facing windows & roof overhangs to protect against the intense summer sun.
South-facing glass & thermal mass are the two main components of passive solar heat since they both collect, store, and disperse heat. The methods for putting such aspects into practice vary. A solar collector, thermal absorber, and distribution system make up the real living area.
This collection includes sizable circular or linear seating components that come with adjustable backrests and corner backrests.
The ideal windows for daylighting are those facing south. They provide all-day illumination and are less affected by heat and glare than windows with an east or west orientation.
The eaves of the house or the rafters on your roof are two names for this overhang. When this overhang is done, the bottom is referred to as the soffit, meaning literally translates to "something attached beneath".
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A person is electrically charged, but because of his sneakers with rubber soles, the charge cannot flow into the ground. What happens when he touches a friend who is barefoot?
Answer:
See below
Explanation:
Your 'friend ' IS electrically grounded....so the electric charge will flow from you through your friend to the ground.....likely BOTH of you will feel a shock.
what is the lift (in newtons) due to bernoulli's principle on a wing of area 87 m2 if the air passes over the top and bottom surfaces at speeds of 250 m/s and 170 m/s , respectively?
Bernoulli's principle produces a lift of 3770928N on a 87m²wing.
What constitutes Bernoulli's principle's foundation?According to Bernoulli's principle, areas of a fluid flow that are moving more quickly will experience less pressure than areas that are moving more slowly.
The following memorable word equation serves as a concise summary of Bernoulli's equation in its simplified form: Total pressure equals static pressure plus dynamic pressure. Regardless of the fluid speed at a given position, every point in a constantly flowing fluid has a distinct static pressure (p) and dynamic pressure (q).
Bernoulli's principle states that the following expression represents force:
F = A × d × V²₂ - V₁²/2
F = 87 × 1.29 × (250² - 170²)/2
F = 112.23 × 33600
F = 3770928N
As a result, a wing with an area of 87 m² has a lift of 3770928N.
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two balls of mass 4kg and 2kg are moving with speed 10 m/s and 8m/s respectively with the ball of heavier mass behind the lighter ball
Answer:
Explanation:
And what to find in the problem?
what is the moment of inertia of the object starting from rest if it has a final velocity of 6.1 m/s? express the moment of inertia as a multiple of mr2 , where m is the mass of the object and r is its radius.
The moment of inertia of the object is 0.053MR^2 .
Moment of inertia is defined as the quantity expressed by the body resisting angular acceleration which is the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.
We can calculate the moment of inertia of an object that starts from rest and also has a final velocity using the energy conservation equation, as follows:
Then Ek1 + Ep1 is = Ek2 + Ep2, where
After that Ek1 is = kinetic energy of the object before rolling down
Now Ep1 is = potential energy of the object
Then Ek2 is = kinetic energy when the object comes down
After that Ep2 is = potential energy of the object at the bottom
[tex]Mgh = \frac{Iv^{2} }{2R^{2} } + \frac{MV^{2} }{2}[/tex]
putting the values, we get
19.6 M = 18.6 I/(R^2) + 18.6 M
I = 0.053MR^2
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a gyroscope flywheel of radius 2.83 cm is accelerated from rest at 14.2 rad/s2 until its angular speed is 2760 rev/min. (a) what is the tangential acceleration of a point on the rim of the flywheel during this spin-up process? (b) what is the radial acceleration of this point when the flywheel is spinning at full speed? (c) through what distance does a point on the rim move during the spin-up?
The tangential acceleration of the gyroscope flywheel is 40.186 x [tex]10^{-2[/tex] m/[tex]s^2[/tex], Radial acceleration of gyroscope flywheel is 2364.08 [tex]m/s^2[/tex] and During the spin up process the distance moved by a point on rim is 83.24 m.
What is meant by tangential acceleration?The centripetal force causes an acceleration known as radial acceleration, which is measured in radians per square second. Radial acceleration is directed toward the center.Tangential acceleration occurs when a body or object moves at a speed that is not uniform.a gyroscope flywheel of radius, R = 2.83 cm =2.83 x [tex]10^{-2}[/tex] m
[tex]\omega_0 = 0[/tex]
[tex]\omega = 2760 X \frac{2\pi}{60} rad/sec[/tex]
[tex]\alpha = 14.2 rad/ sec^2[/tex]
The tangential acceleration :
[tex]a_t = R\alpha[/tex] =2.83 x [tex]10^{-2}[/tex] m x 14.2 [tex]rad/s^2[/tex] =40.186 x [tex]10^{-2[/tex] m/[tex]s^2[/tex]
The radial Acceleration :
[tex]a_r = R\omega^2\\=(2.83 X 10^-2) (2760 X \frac{\pi}{30} )^2[/tex] =2364.08 [tex]m/s^2[/tex]
During the spin up process the distance moved by a point on rim
d = [tex]R\theta[/tex]
where [tex]\theta =\frac{ \omega^2 - \omega_0^{2}}{2\alpha}[/tex]
= [tex]\frac{(2760 X \pi/30)^2}{2 X 14.2}[/tex] =2941.42 rad
d = 2.83 x [tex]10^{-2}[/tex] x 2941.42 =83.24.m
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Finding displacement on a velocity time graph
Answer:
To find the displacement when the velocity is changing, a velocity-time graph is needed. Normally, velocity is plotted on the y-axis (the vertical axis) and time is plotted on the x-axis (the horizontal axis). The area under the line on a velocity-time graph is equal to the displacement of the object.
Explanation:
I hope this helps
A hair dryer uses the energy from the plug in order to power a small fan that blows air. When a hair dryer is being used, which is one of the energy transformations that takes place?.
Electrical energy is converted into the kinetic energy of the spinning fan and the thermal energy of the heated coils within a hair dryer when the appliance is turned on.
What is electric energy?Electrical energy is the capacity of the charged particles in an atom to start an action or move an object. The movement of electrons between atoms results in the production of electrical energy.
Every time you plug your toaster and phone charger into a wall socket, electrical energy is used to power them. Electric eels, batteries, and lightning are additional sources of this kind of power. However, electrical energy can also be converted into other types of energy, such as the thermal energy that warms your toaster and toasts your bread, or the mechanical energy that drives the acceleration of an electric car.
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The two prisms shown in the diagram below are made of glass. A ray of red light enters each prism from the air, as shown. The critical angle for red light at the glass-air boundary is 42°.
On the diagram, complete the paths of the rays passing through each prism and out into the air again.
Answer:
That's all i know
Anyway welcome
A 3000 W oven is cooking your Sunday roast for 1 hour and
35 minutes. How much did it cost to cook it?
Cost estimated is ₹[19/4]y/-.
Given :- Power=3kW , Time=1hr 35min
Now to convert this time completely into hours following steps can be adopted:- 1 min =1/60 hour, so 35min =35/60 hour
35min= 35/60 =7/12 hour
So total computed time = 1hr + [7/12]hr
computed time =19/12hr
Now since in the question there is no mention about cost , so let the cost be ₹y/unit.
Mathematically , Energy is the product of power and time , i.e.
E= Power x Computed time = 3 x 19/12 = 19/4 units.
Now the energy estimated is 19/4 units whose cost equivalent will be ₹[19/4]y/- , as cost of one unit energy is ₹y/- so cost of 19/4 energy units will be ₹[19/4]y/-.
Once the cost of one unit energy is known to us then just its value in the place of y and we will get the exact amount expended on the total energy consumption.
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an object has mass 0.2 kg, how much force is required to throw it vertically with velocity 5ms
0.2×51000)
Explanation:
change 5ms into cms before multiplying by 0/2 kgs
what force plays the role of centripetal force causing the electrons to follow a circular path? does this force alter the kinetic energy of the electrons? briefly explain.
The electron and nucleus interact electrostatically, acting as a centripetal force. As the electron's velocity is tangential and this force is radial, it is perpendicular to the electron's motion and consequently has no effect on the electrons' kinetic energy.
The electron is a subatomic particle with the symbol or an electric charge of one elementary negative charge. Due to their lack of known components or substructure, electrons, which are part of the lepton particle family's first generation, are typically considered elementary particles. The mass of an electron is around 1/1836 that of a proton. In terms of the decreased Planck constant, the electron intrinsic angular momentum (spin) has a half-integer value. The Pauli exclusion principle states that because electrons are fermions, they cannot share the same quantum state. Electrons, like all elementary particles, have characteristics of both particles and waves: they can collide with other particles and can be diffracted like light.
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the only force acting on a 3.5 kg canister that is moving in an xy plane has a magnitude of 7.2 n. the canister initially has a velocity of 3.2 m/s in the positive x direction, and some time later has a velocity of 4.5 m/s in the positive y direction. how much work is done on the canister by the 7.2 n force during this time?
Answer:
17.5175J
Explanation:
By the work-kinetic energy theorem,
[tex]W=\frac{1}{2} m{v_{f} }^{2} -\frac{1}{2} m{v_{i} }^{2}[/tex]
where [tex]v_{i}[/tex] is initial velocity and [tex]v_{f}[/tex] is final velocity. Note that their directions make no impact on the problem.
We can simplify this to:
[tex]W=\frac{1}{2} m({v_{f} }^{2} -{v_{i} }^{2})[/tex]
Now sub in our values:
[tex]W=\frac{1}{2} (3.5)({4.5 }^{2} -{3.2 }^{2})[/tex]
W= (1.75)(20.25-10.24)=17.5175J
The oxidation of copper(I) oxide, Cu 2 O ( s ) , to copper(II) oxide, CuO ( s ) , is an exothermic process. 2 Cu 2 O ( s ) + O 2 ( g ) ⟶ 4 CuO ( s ) The change in enthalpy upon reaction of 98. 93 g Cu 2 O ( s ) is − 100. 9 kJ. Calculate the work, w , and energy change, Δ U rxn , when 98. 93 g Cu 2 O ( s ) is oxidized at a constant pressure of 1. 00 bar and a constant temperature of 25 ∘ C. Note that Δ E rxn is sometimes used as the symbol for energy change instead of Δ U rxn
Copper II oxide is created through the oxidation of copper I oxide, cu2os cu2os. Cuo s An exothermic reaction is Cuo S. The formula is 2cu2o s)+ o2 G 4cuo S.
A simple definition of oxidation is what?Cu2O(s), a copper(I) oxide, is oxidized to copper(II) oxide, CuO, by exothermic processes (s). Cu2O(s), a copper(I) oxide, is oxidized to copper(II) oxide, CuO, by exothermic processes (s).
An oxidation reaction is a chemical process that takes place when an object comes into contact with oxygen or another oxidizing agent (OK-sih-DAY-shun). Oxidation is characterized by the brown hue of sliced apples and rust. In the past, the term "oxidation" was used to describe any chemical reaction that involved oxygen and an element. When magnesium metal and oxygen react, magnesium oxide is produced as a result, which serves as an illustration of this.
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how large an angular acceleration must a wheel have is it is to acceleration from rest to 460rad/s after 5rev ?
The angular acceleration of the wheel is 3,367.28 rad/s².
What is the angular acceleration of the wheel?The angular acceleration of the wheel is calculated by applying the first kinematic equation as shown below.
ωf² = ωi² + 2αθ
where;
θ is the angular distance of the wheelω is the initial angular velocity of the wheelα is the angular acceleration of the wheelωf is the final angular velocityThe given parameters include the following;
angular distance of the wheel, θ = 5 rev = 5 rev x 2π rad/rev = 10π rad = 31.42 radthe initial angular velocity of the wheel, ω = 0the angular acceleration of the wheel, α = ?the final angular velocity, ωf = 460 rad/sThe angular acceleration of the wheel is calculated as follows;
ωf² = 0 + 2αθ
ωf² = 2αθ
α = ωf² / 2θ
α = ( 460² ) / ( 2 x 31.42 )
α = 3,367.28 rad/s²
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How will this surfboard’s streamlined shape affect its speed?
Answer: Speed increases
Explanation:
A streamlined shape reduces the surface area making contact with the fluid (in this case, water). Less surface area making contact with the fluid means friction is reduced. The lower the force of friction, the lower the "drag" on the object in motion, hence the faster it can go. The force of friction is always in the opposite direction of the motion of the object.
what physical quantities do you need to measure to determine the electric power produced by a battery/power supply? what equation will you use?
Electrical power (P) can be defined as the sum of these two numbers if voltage (V) equals Joules per Coulombs (J/C) and amperes (I) = charge (coulombs) per second (A = Q/t). This is due to the fact that electrical power can also be expressed as P = V*I, or voltage times amperes.
Electric Power can be explained as:
Electric power is the rate at which electrical energy moves across an electric circuit. The SI unit of power is the watt, or one joule per second. The suffixes used to represent thousands, millions, and billions of watts are kilowatts, megawatts, and gigawatts, respectively. Watts are subject to the same standard suffixes as other SI units.
A power law is an equation in which, regardless of the initial sizes of the two values, a relative change in one quantity results in a corresponding relative change in the other.
The Equation:
Here, it is explained that Power equals Current times Voltage (P=VxI), Current equals Power divided by Voltage (I=P/V), and Voltage equals Power divided by Current (V=P/I).
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3. Some surfboards weigh more than others. How does a board’s weight affect the amount of force needed to get it moving?
The weight of the board influences the amount of effort required to move it because if it were too heavy, it would just sink, and if it were too light, it would simply float away.
The gravitational pull of a second, significantly bigger object, like the Earth or Moon, on a first object is known as weight. According to the universal law of gravity, any two objects will gravitate toward one another due to their masses with a force that is inversely proportional to the square of the distance between them and precisely proportional to the product of their masses. The source of weight is this law. Because of this, larger objects naturally weigh more when placed in the same location. However, the further an object is from the Earth, the less weight it has. An object's weight at the South Pole is somewhat higher than its weight at the North Pole because the Earth's polar radius is slightly less than its equatorial radius.
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two cars, car x and car y, are moving with the same velocity, and slam on the brakes coming to a stop. car x is more massive than car y. for which car is the amount of work done by friction in stopping it the highest?
The amount of work done by friction in stopping the car is given as
Wx > Wy.
There are two cars moving with the same velocity
car X is more massive than car Y
mass of car X = Mx
mass of car Y = My
here given, Mx > My
The distance travelled will be the same as the initial velocity, and it is independent of mass.
Let, μ be the coefficient of kinetic friction
work done by the frictional force is given as:
F = μMg
Fx = μMxg
Fy = μMyg
W = F.s
Wx = μMxg.s
Wy = μMyg.s
Wx > Wy
The amount of work done by friction in stopping the car is given as
Wx > Wy.
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