The speed of the truck is 14.3m/s without the crate sliding.
What is the equation for static friction?The resistive friction force (Fr) multiplied by the usual or horizontal pressure (N) pushing the things together yields the frictional coefficient (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.
Calculation -:Call the mass of the egg crate m. The forces on it are its weight Fg =mg vertically down, the normal force n of the truck bed vertically up, and static friction (fs) directed to oppose relative sliding motion of the crate on the truck bed. The friction force is directed radially inward. It is the only horizontal force on the crate, so it must provide the centripetal acceleration. When the truck has maximum speed, friction fs will have its maximum value with fs=μn.
Newton’s second law in component form becomes
∑Fy=ma(y) giving n−mg = 0 or n = mg
∑F(x)=ma(x) giving f(s)= ma(r)
From these equations
μ(s)n ≤ mv²/r and μ(s)mg ≤ mv²/r
The mass divides out. The maximum speed is then
v≤[tex]\sqrt{}[/tex]μrg =[tex]\sqrt{}[/tex]0.600(35.0m)(9.80 m/s²) = v ≤1 4.3m/s.
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How much weight is generated by an 80 kg person on planet earth? On the moon?
Contrast the force of gravity between these
pairs of objects: a 1-kg mass and a 2-kg
mass that are 1 m apart; a 1-kg mass and a
2-kg mass that are 2 m apart; and two 2-kg
masses that are 1 m apart.
The force of gravity between these pairs of objects: a 1-kg mass and a 2-kg mass that are 1 m apart is 13.[tex]10^{-11}[/tex]34N.
For 2 m apart 6.67[tex]10^{-11}[/tex]N.
For 2-kg mass that are 2 m apart; and two 2-kg masses that are 1 m apart is 26.68N.
How many gravitational forces are there?The resultant (vector sum) of two forces is the force of gravity on Earth: (a) the gravitational pull according to Newton's universal law of gravitation; and (b) the centrifugal force, which is the outcome of choosing an earthbound, rotating frame of reference.
Force between two object is calculated f=Gmm/r^2.
G=6,67*10^-7
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Which of the following statements regarding heat is accurate? NEED ASAP
People under going physical therapy after an injury often find it helpful to perform exercise in water? Why?
(No links please)
Two friends A and B started at different times and covered 30km as shown in the graph.
Identify the correct statement from the following.
option 1 - A and B move with the same speed
option 2 - B moves with non-uniform speed
option 3 - A completes his journey early
option 4 - B overtakes A at 11:10 a.m.
Answer:
Explanation:
option 1 - A and B move with the same speed INCORRECT because the lines have different slopes
option 2 - B moves with non-uniform speed INCORRECT because the line for B is straight
option 3 - A completes his journey early INCORRECT because A ends his journey at about 11:45 after going about 42 km. B finishes his journey at about 11:35.
option 4 - B overtakes A at 11:10 a.m. CORRECT. They meet at the 30 km mark at 11:10, which is where the lines intersect.
Press the hotspot that indicates the location that a string will experience the least tension during vertical circular motion. Assume that the speed of the ball remains constant.
which one will experience the least tension t3 t2 t1 or t4
The least tension will be experienced by T3
The weight of a moving object causes tension, which is the force applied along the length of a string, rope, or cable. The force that maintains an object moving in a circular direction when it is in a vertical circular motion is called tension. Perpendicular to the circle's radius, the tension in the string is pointed in the direction of the circle's centre.
Due to the centripetal force required to maintain the object moving in a circular motion, the tension in the string varies as the object moves in a vertical circle, with the highest tension occurring at the top of the circle and the least tension occurring at the bottom. In the given case, T3 will experience the least tension during vertical circular motion, assuming that the speed of the ball remains constant. This is because T3 is the point on the string that is closest to the circle's centre, and thus is subject to the least amount of tension as the ball moves in a vertical circle.
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please answer as soon as possible. How does the gravitational pull of different objects in space affect other objects in space?
Answer:
Every object in space exerts a gravitational pull on every other
explanation : gravity influences the paths taken by everything traveling through space. It is the glue that holds together entire galaxies. It keeps planets in orbit. It can also cause life-destroying asteroids to crash into planets..
An antelope of mass 55 kg that is running at a speed of 10 m/s
and a tiger of mass 140 kg that is running at a speed of 15 m/s.
What's the total linear momentum of the antelope and the
tiger?
The total linear momentum of the antelope and the tiger is 2650 Kg m/s.
Linear momentum: what is it?The result of a system's mass x its velocity is its linear momentum. Linear momentum is denoted by the sign p = m v. The relationship between momentum and an object's mass and speed is straightforward.
Given -
mass of antelope = 55 Kg
mass of tiger = 140 Kg
speed of antelope = 10 m/s
speed of tiger = 15 m/s
from linear momentum formula
P = m × v
For antelope-
P = 55 × 10
P = 550 Kg m/s
For tiger-
P = m × v
P = 140 × 15
P = 2100 Kg m/s
Hence, total momentum is-
550 + 2100
2650 Kg m/s
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light waves with a frequency of 7.26 x 10^14 HZ lies in the violet region of the visible spectrum. what is the wavelength of this frequency of light?
Answer:
4.13×10⁻⁷ m
Explanation:
Applying
v = λf................... Equation 1
Wherfe v = speed of light, λ = wavelength of light, f = frequency of light.
make λ the subject of the equation
λ = v/f....................... Equation 2
Note: Light is an electromagnetic wave, and all electromagnetic wave moves with thesame speed which is 3×10⁸ m/s.
From the question,
Given: f = 7.26×10¹⁴ Hz
Constant: v = 3×10⁸ m/s
Substitute these values into equation 2
λ = (3×10⁸)/(7.26×10¹⁴)
λ = 4.13×10⁻⁷ m
If an amount of heat Q is needed to increase the temperature of a solid metal sphere of
diameter D from 4°C to 7°C, the amount of heat needed to increase the temperature of a solid
sphere of diameter 2D of the same metal from 4°C to 7°C is
A. 8Q
B. 40
C. 20
D. Q
As a result, X heat required = 27Q is the amount of heat needed to raise the temperature.
Calculationfirst case
Q = Specific Heat * Density of Sphere* (4/3*pi*D^3) * (7-4) -1
Second case
X = Specific Heat * Density of Sphere* (4/3*pi*(3D)^3) * (7-4) -2
Dividing 1 and 2 we get
Q/X = 1/27
27
How does the heat equation's Q work?where Q is the amount of heat that is transported to or from the item, m is the object's mass, C is the material's specific heat capacity, and T is the resultant temperature change of the object.
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Help! again lol
Answer:
The weather is just the state of the atmosphere at any time, including things such as temperature, precipitation, air pressure and cloud cover.
Explanation:
Daily changes in the weather are due to winds and storms. Seasonal changes are due to the Earth revolving around the sun.
atmosphere:The atmosphere covers the Earth. It is a thin layer of mixed gases which make up the air we breathe. This thin layer also helps the Earth from becoming too hot or too cold
Ocean:Oceans cover about 70 percent of Earth's surface. Their large size and thermal properties allow them to store a lot of heat.
ice: Ice is the world's largest supply of freshwater. It covers the remaining 3 percent of Earth's surface including most of Antarctica and Greenland. Ice plays an important role in regulating climate, because it is highly reflective.
:]
2.) What would the force of friction be between the surface and wood block if there was no
gravity?
Answer:
The coefficient of friction between the surface of the block is 1/4
Running at 2. 0 m/s, Burce, the 45. 0 kg quarterback, collides with Max, the 90. 0 kg tackle, who is traveling at 7. 0 m/s in the other direction. Upon collision, Max continues to travel forward at 1. 0 m/s.
What is the new velocity of Bruce?(list unknown variable and known variables, write an equation, plug in numbers, and get answer with unit. )
Burce, a 45-kg quarterback, collides with Max, a 90-kg tackle, who is moving at 7.0 m/s in the opposite direction, as he runs at 2.0 m/s. This results in Bruce's new speed being 14 m/s.
Max hits the ground moving forward at a speed of 1.0 m/s. A moving object's velocity is a function of time and measures how quickly its position changes in relation to a frame of reference. When an object is moving, its speed and direction are specified by its velocity. A collision in physics is referred to as an elastic collision when the combined kinetic energy of the two bodies stays constant. A collision that is ideal and absolutely elastic
V1 = (720 - (90)(1))/45
V1 = 14m/s
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The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
Answer:
Explanation:
period is 2pi / B which is 2pi/8 which is 1/4 pi
amplitude is a which is 10
What happens to the particles of a matter when heat is released and temperature becomes lower?
In the particles of a substance when heat is released and the temperature becomes lower are the particles will move more slowly.
A particle can vibrate due to heating so that the particle can be said to have kinetic energy. Kinetic energy itself is affected by the mass and speed of objects. The smaller the mass of an object, the greater its kinetic energy. The faster the particles vibrate, the greater their kinetic energy.
When a particle is heated, its temperature will rise and the particle will move fast because it gains kinetic energy. Meanwhile, when a particle loses heat, the temperature of the particle will decrease, this causes a decrease in the kinetic energy of the particle due to heat loss so that the particle moves slower.
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A 1. 25 in. By 3 in. Rectangular steel bar is used as a diagonal tension member in a bridge truss. The diagonal member is 20 ft long, and its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in. /in. , determine:
The length of the diagonal member is 20 ft, and if its modulus of elasticity is 30,000,000 psi. If the strain in the diagonal member is measured as 0. 001200 in, the elongation of the member is 29 inches.
What is a truss?A truss is constructed of a number of components, such as beams, connected at nodes to create a rigid framework. According to engineering definition, a truss is a structure that "consists of merely two-force members, where the members are placed so that the assembly as a whole behaves as a single entity."
A truss is a piece of furniture comprised of components arranged into linked triangles that function as a single unit. Trusses are most typically used in towers, roofs, and bridges. If a truss' members essentially lie on a single plane, it is referred to as a plane truss.
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_____ is the term that refers to making something magnetic.
[tex] \huge{ \texttt{ANSWERS}}[/tex]
MAGNETIZATION
In most materials, magnetization occurs when a magnetic field is applied to a body. a material is the density of magnetic bipolar moments that are magnetized by the metal, a separation process that takes place when one of its components is ferromagnetic,Question 10 of 10
A 200 N force is applied to an object, which then accelerates at 2 m/s2 What
is the mass of the object?
A. 100 kg
B. 400 kg
C. 25 kg
O D. 50 kg
Answer:
a
Explanation:
f=ma
200=2*m
divide both sides by 2
m=100
The piton in fig 2. 1. 15 i pulled out of the cylinder from piton x to piton y without changing the temperature of the air encloed if the original preure in the cylinder wa 1. 0 multiply by 10 calculate the air preure when the piton i at poition y
The pressure at position y to be 10.0, which is the air pressure when the piston is at position y.
If the original pressure in the cylinder was 1.0, and the piston is pulled out from position x to position y without changing the temperature of the enclosed air, the air pressure at position y will be increased. This is due to the change in volume of the cylinder as the piston is pulled out. As the volume increases, the number of air molecules inside the cylinder also increases, which causes an increase in the air pressure.
To calculate the air pressure when the piston is at position y, we can use the gas law known as Boyles' Law, which states that the pressure and volume of a gas are inversely proportional. Therefore, if the volume increases, the pressure will decrease, and if the volume decreases, the pressure will increase.
P₁V₁=P₂V₂Where P₁ is the initial pressure, V₁ is the initial volume, P₂ is the final pressure, and V₂ is the final volume.
By substituting the given values, we have:
1.0V₁ = P₂(V₁+V)Where V is the change in volume due to the movement of the piston.
Solving for P₂:
P₂= 1.0*V₁/(V₁+V)P₂= 1.0*1.0/(1.0+V)As we know, the original pressure is 1.0, and if we multiply it by 10, we will get the final pressure at position y to be 10.0, which is the air pressure when the piston is at position y.
This question is not written in a proper manner. The corrections are:
The piston in fig. 2. 1.15 is pulled out of the cylinder from piston x to piston y without changing the temperature of the air enclosed. If the original pressure in the cylinder was 1.0, multiply by 10 to calculate the air pressure when the piston is at position y.Learn more about piston–cylinder here: brainly.com/question/24884868
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An object with mass of 50kg moves with
velocity of 11. 2m/s and an event occur
whereby it transfers 1539 of energy to
another objects as work.
What is the new
velocity of the object after the event??
The new velocity of the object after the event is 7.99m/s.
We are given that,
Mass = m = 50kg
Initial velocity = v = 11.2m/s
Energy = E = 1539j
The kinetic energy of object can be calculated as,
K= (1/2)mv²
K = (50×125.44)/2
K = 3136J
Consequently, since both the initial kinetic energy and the total amount of energy transferred are known. The article's resulting energy is easily discernible.
Final energy = initial kinetic energy - the ending energy
Final energy = 3136-1539= 1597 joules
Therefore, using the equation for kinetic energy derivation, the speed of the object can now be determined.
K.E = 1/2MV²
1597 = 50/2V²
3194 = 50V²
V = 7.99m/s
Therefore , the new velocity of the object after the event would be 7.99m/s.
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Where the ungrounded conductors for a 225-ampere feeder are increased in size from 250 kcmil copper to 800 kcmil copper due to length, what is the minimum-size copper equipment grounding conductor required for the circuit?
The minimum-size copper equipment grounding conductor required for the circuit is 1/0 kcmil.
The NEC (National Electric Code) provides guidelines for the minimum size of equipment grounding conductors.The minimum size of the equipment grounding conductor is based on the ampacity of the feeder circuit.In this case, the ampacity of the feeder circuit is 225 amperes.The conductors for the feeder circuit have been increased in size from 250 kcmil to 800 kcmil due to the length of the circuit.According to the NEC (National Electric Code), the minimum size copper equipment grounding conductor required for a 225-ampere feeder circuit where the conductors have been increased in size from 250 kcmil to 800 kcmil due to length would be 1/0 kcmil.Learn more about conductors here:
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What is the relationship between torque and force lever arm length?
Torque is produced by multiplying the length of a lever arm by the force acting perpendicular to the lever arm. There are two conceivable orientations for the scalar quantity torque: clockwise and anticlockwise.
What is the result of the force times the lever arm?A torque is created when a force is applied perpendicular to a lever arm. The lever arm or moment arm is the length that extends perpendicularly from the pivot point, or the centre of rotation, to the point at which the force is applied. A torque is always defined with reference to a pivot point.
How can torque be multiplied?A torque multiplier multiplies the torque applied to the bolt with each gearing level. For instance, a 5:1 torque multiplier will result in an output.For example, a torque multiplier with a 5:1 ratio will result in an output at the shaft that is five times the torque, but the speed will only be one fifth of the original since no energy can be created.
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If A and B are non-zero vectors, is it possible for A×B and A·B both to be zero?
It is important to note that the dot product and cross product of any two non-zero vectors cannot both be zero therefore A×B and A·B cannot both be zero.
What are non-zero vectors?In vector space, a non-zero vector. V is a vector that differs from the zero vector in V. If u is a non-zero vector in V and an is a scalar, i.e. an element of the field over which V is defined, then au=0 is only possible if a=0.
The product of any two non-zero vectors is non-zero in this vector context. It is referred to as Hamilton's Quaternions. Over the real numbers, quaternions form a four-dimensional vector space, and their multiplication is a combination of dot product and cross product.
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On a wheel and axle, if the large wheel has a radius of 20 cm and the small wheel has a radius of 4 cm, what is the ideal mechanical advantage
The ideal mechanical advantage is 5.
Here, we have value larger radius , R = 20 cm and smaller radius = 4 cm
So, as per the problem, mechanical advantage will be 20/4 = 5.
A wheel and axle must be permanently joined in order to be considered a simple machine, and the wheel must by definition have a bigger radius than the axle. A point on the wheel moves a distance of 2 R whereas a point on the axle moves a distance of 2 r when you turn the wheel through a full revolution, which likewise causes the axle to turn through a full revolution.
The force you apply F R times the distance the point moves equals the effort W required to move a point on the wheel through one full revolution. Work is energy, and since energy must be conserved, a point on the axle must be subjected to a larger force F r because it moves a shorter distance.
The mathematical relationship is:
W = Fr (subscript) ×2πr/θ =F r(subscript) ×2πR/θ
Where θ is the angle that the wheel is turned.
And therefore:
Fr(r in subscript) / FR(R in subscript) = R/r
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The ECG waveform has various components such as waves, segments, and intervals; when these components differ from the expected norm, this indicates:
The ECG waveform has many components such as segments, waves, and intervals; when these components differ from the expected forms, this indicates dysrhythmia.
An abnormal or irregular heartbeat is referred to as cardiac dysrhythmia. Your heart may beat too slowly or too fastly if you have dysrhythmia. Or your heart's rhythm may be disturbed, giving you the sensation that your heart missed a beat.
Thus, when the ECG waveform is different than normally it is expected, it shows a sign of dysrhythmia. When a person experiences dysrhythmia, and the rate of their heartbeat becomes irregular but still, it lies within the normal range.
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From the viewpoint of an alien astronomer, how does Jupiter affect observations of our Sun?
a) It causes the Sun to move in a small ellipse with an orbital period of about 12 years.
b) It makes the Sun periodically get somewhat brighter.
c) It makes the Sun appear dimmer when viewed with infrared light.
d) It causes the Sun to move in a small ellipse in the sky, with the same ellipse repeated every night.
Jupiter affect observations of the Sun, from the viewpoint of an alien astronomer, by causing the Sun to move in a small ellipse with an orbital period of about twelve years. The correct option is option a.
Being the fifth closer planet to our Sun, Jupiter is the biggest planet in our Solar System. Jupiter is one of the gas giants in the Solar System.
From the Sun, Jupiter's average distance is about 480 million miles, and it takes nearly twelve years for Jupiter to make one revolution. Jupiter has a ring, albeit flat and small, like the rest of the gas giants. Jupiter's rotation is the fastest of all planets in the Solar System, rotating once on its axis every ten hours.
From the viewpoint of an alien astronomer outside our Solar System, the Sun will look as if it orbits Jupiter and takes 12 years to complete a revolution. Planets in general have orbits that are elliptical.
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In the definition of weight, W = mg, the mass m refers to an inertial mass.
True or false
Answer:
True
Explanation:
In the definition of weight, W = mg, the mass m refers to an inertial mass.
Suppose a cart is being moved by a force. If suddenly a load is dumped into the cart so that the cart's mass is doubled, what happens to the cart's acceleration
According to the given statement If suddenly a load is dumped into the cart so that the cart's mass is doubled The acceleration slows.
Give an explanation of acceleration.which speaks of the rate of change in time of the speed and direction of motion. Something is said to be accelerating when it starts to move faster or slower. Even if the speed slows down, motion on a circle accelerates because the direction is constantly changing.
Does accelerating mean going faster?Any process in which the velocity changes is referred to as acceleration. There are only two ways to speed up because velocity consists of both a speed and a direction.
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An air puck of mass 0.304 kg is tied to a string and allowed to revolve in a circle of radius 0.44 m on a horizontal, frictionless table. The other end of the string passes through a hole in the center of the table and a mass of 1.15 kg is tied to it. The suspended mass remains in equilibrium while the puck revolves. 0.44 m v 1.15 kg 0.304 kg What is the tension in the string
The tension in the string can be found by using the equation for centripetal force. which is equal to 150.
This equation states that the centripetal force (Fc) is equal to the mass of the object (m) multiplied by the square of the velocity (v) and divided by the radius (r). Therefore,
Fc = m x v²/r.
In this case, the centripetal force is equal to the tension in the string, so the tension in the string (T) can be found by rearranging the centripetal force equation to
T = m x v²/r.
Substituting in the given values for mass (m) and radius (r) gives
T = 0.304 kg x (2.83 m/s)²/0.44 m
T= 150N
Therefore the tension of the string is 150N
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How did the Japanese Tsunami (2011) happen and explain why it did happen?
just ask safari
Explanation: