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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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.
Their centers are separated by a distance of 2500 m. Find the
gravitational attraction between them.
When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.
Given,
m = 1.5 × 10^5 kg
M = 8.5 × 10^2 kg
r = 2500 m
F=GmM/r^2
Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant
F = 1.36 × 10^-9 N
Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).
If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.
Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.
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What is the tangential speed of a passenger on a Ferris wheel that has a radius of 42 m and rotates once in 25 sec
Where r is the radius, v is the tangential speed, and is the angular speed The tangential speed is 2.1 m/s as a result.
Any object traveling in a circular motion has a linear speed known as tangential velocity. On a turntable, a point in the center moves less distance in a full rotation than a point near the outside edge. Tangential speed and tangential velocity are not the same thing. The amount of tangential velocity, which is generally referred to as velocity, is what you are referring to. Technically, the nomenclature is incorrect, and speed is actually its magnitude whereas tangential velocity comes with the direction, a.The circle's circumference divided by the duration required for one complete spin gives us the tangential velocity: 2*pi*r/t. The relationship between it and angular velocity is also shown by the formula V = w * r, w.To know more about tangential velocity here
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the planet neptune has an equatorial diameter of 49532 km and its mass is 1.0247 x 10^26 kg. If the plane tis modeled as a homogenous sphere, what is the acceleration due to gravity at its surface
The acceleration due to gravity at the surface of Neptune is calculated to be 10.08 m/s².
Here, we can apply the concept of Newton for the definition of the gravity of a planet, for which he defines that this is proportional to the product of the mass of the planet by the universal gravitational constant, and inversely proportional to the square of the radius of the planet. Mathematically this can be described as
g = GM/r²
where,
G is universal gravitational constant
M is the mass of the planet
r is the radius of the planet
Given that,
Mass of the planet M = 1.025 × 10²⁶ kg
Diameter of the planet = 49532 km = 49532 × 10³ m
Radius of the planet = 24766 × 10³ m
After putting the values into the equation above, we have,
g = GM/r² = (6× 10⁻¹¹) (1.025 × 10²⁶)/(24.7 × 10⁶)² = (6.15 × 10¹⁵)/(24.7 × 10⁶)² = 10.08 m/s²
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Complete this sentence. If the cone of force is facing an observer, the impact comes from the ________ side of the observer.
left
same
right
opposite
If the cone of force is facing an observer, the impact comes from the opposite side of the observer.
What is Newton's third law of motion?
Newton's third law of motion states that action and reaction force are equal and opposite. That is for every action, there is an equal and opposite reaction.
Mathematically, the formula for Newton's third law of motion is given as;
Fa = - Fb
where;
Fa is the impact force or force exerted on BFb is the reaction force of B due to applied force of AThus, when a force is applied from a side, the observed force or reaction will be directed in opposite direction. The force exerted and the reaction force are both equal in magnitude but occurs in opposite direction.
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how to say hi in french
Explanation:
Bonjour
it is hi or hello you can also say the name after
Example:Bonjour(say the name of the person you want to greet)
Answer:
Bonjour
Explanation:
Its just bonjour, you could always expand and say more then just Hi though.
A 50 kg person and a 70 kg person are sitting on a bench close to each other about .5 m apart.
Estimate the magnitude of the gravitational force each exerts on the other.
Answer:
1.0 x 10-6 N.
Explanation:
The gravitational force
Fg = G m1 m2 / r2 = (6.673 x 10-11) (50 kg) (75 kg) / (0.50 m)2 = 1.0 x 10-6 N.
What is the major difference between static and dynamic stretching ?
Explanation:
This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.
What are the 7 basic forms of hazardous energy in the industrial plants?
Machines and equipment use a variety of energy sources, including electrical, mechanical, hydraulic, pneumatic, chemical, thermal, and others.
What are the forms of hazardous energy?Equipment and machinery that draw power from electrical, mechanical, hydraulic, pneumatic, chemical, thermal, or other sources may put workers at risk.
hazards to safety
biological threats
bodily dangers
hazards of ergonomics
chemistry risks
threats to organisations during work.
environment-related risks.
Potential energy, or stored energy in an object, poses a risk to employees if it is suddenly released.
Lockout is only one aspect of hazardous energy control. It includes measures like machine guarding, alternative guarding arrangements that stop exposure to hazardous energy, lockouts, and other ways to protect workers from coming into touch with such energy. Anything that could be harmful, hurt someone, or have negative health impacts on something or someone is said to be in a hazardous condition.
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Forces acting upon a 100-kg crate sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. Determine the net force of the crate. Use: g=10m/s, Sin30°=0.5, and Cos30°=0.9 A) 300N B) 200N C) 100N D)230N
Forces acting upon a 100-kg crate which is sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. the net force of the crate is 230N.
What is coefficient of friction ?The amount of friction between two surfaces is measured by the coefficient of friction. You determine the resistance to motion at the intersection of two surfaces made of similar or dissimilar materials when you determine the coefficient of friction.Solution:
Given:
Mass of crate=100kg
Angle of inclination=30°
coefficient of friction=0.3.
Now,
F∥=mgsinθ=(100)(10)0.5=500N is the force acting parallel to the inclined plane.
then,
Normal force= mgcosθ=(100)(10)(0.9)=900N
then, frictional force =
Frictional force=μkF⊥=(0.3)(900)=270N
Finally the net force = F∥-frictional force
the net force =500-270
the net force =230N
Hence, the net force is 230N
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at the top of a pole vault, an athelete actually can do work pushing on the pole before releasing it. suppose the pushing force that the pole ecerts back on the athelete is given by F(x)=(1.5*10^2N/m)x-(1.9*10^2N/m^2)x2 acting over a distance of 0.20m. how much work is done on the athelete?
2.49 Joules have been performed on the athlete, in accordance with the provided statement.
What in science is a force?In science, the word "force" has a concrete meaning. At this point, referring to a force as a push or simply a yank is perfectly appropriate. An constituent does not "have in it" or "contain" a factor. A force is felt by one entity coming from another. The idea of a force encompasses both living and non-living entities.
You must incorporate the work expression because it is a vital part of Fdx.
Gained is
W = integral of ( 150x - 190 x 2 ) dx
= 75 x2 - 63.333 x3
So now...
work done = 75 *0.202 - 63.333 *0.203 = 2.49Joules
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Classify the phase-change scenarios according to the direction of the heat flow in each case. No net transfer of heat occurs Heat is transferred from the water to the surroundings Heat is transferred to the water from the surroundings
When working through these problems, think about the heat in terms of movement of the molecules of water.
Heat is transferred from the water to the surroundings --- water molecules slowing down.
Heat is transferred to the water from the surroundings --- water molecules heating up.
a cloud of steam condenses into liquid water - Heat is transferred from the water to the surroundings. Steam has more molecules moving around than liquid water. Therefore the molecules had to slow down, thereby transferring heat to the surroundings.a block of ice sublimates into water vapor - Heat is transferred to the water from the surroundings --- water molecules are heating upa block of ice melts - Heat is transferred to the water from the surroundings. The water molecules are basically not moving. Therefore heat has to be introduced to the molecules, which causes the melting.a puddle of water evaporates - Heat is transferred to the water from the surroundings. The water molecules are moving in the liquid state. However, when more heat is introduced to the liquid, the molecules move more rapidly and evaporate.a puddle of water freezes into ice - Heat is transferred from the water to the surroundings --- water molecules slowing down as they go from a liquid state to a solid state. ABOUT HEAT TRANSFERHeat transfer is the transfer of energy due to the difference of temperature between two different places. The main discussion in heat transfer is how the energy in heat can move places and the rate of transfer under certain conditions. Heat transfer includes the processes of inflow and outflow of heat. In industrial processes, heat transfer is used to achieve the required temperature in the industrial process and maintain the required temperature throughout the process.
Heat transfer from one object to another can occur by conduction, convection, and radiation. The determinant of heat transfer is the temperature difference. The direction of heat transfer starts from a medium with a high temperature to a medium with a lower temperature. Heat transfer can occur with a single process or multiple processes.
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Which would be eaier to carry --- a chool bag with a broad trap for a chool bag with a very thin trap?
Jutify your anwer
A school bag with a broad strap would be easier to carry when compared with a school bag with thin strap.
Bags are used to carry loads. There are bags with two straps and bags with one strap. Bags with one strap spread lesser area for carrying whereas bags with two straps spread more area.
The school bags with broad straps are easier to handle. This is due to the reason that the load of the bag is distributed over larger area, thereby decreasing the pressure on the shoulders. The pressure provided by smaller straps is higher ans causes irritation.
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Draw the phasor for the emf = (170 V) cos ((2pi*60 Hz)t) at t = 60 ms. Tail at the origin.
Answer:
9798687564=-=-=97858
Explanation:oy 8gyf86 r = 76y
The tape in a videotape cassette has a total length 196 m and can play for 2 h. As the tape starts to play, the full reel has an outer radius of 48 mm and an inner radius of 14 mm. At some point during the play, both reels will have the same angular speed. What is this common angular speed
Both reels will rotate at the same pace at some time throughout the game. This usual angle of rotation is 0.763 rad/s.
Given data:
The total length of the videotape cassette is, L = 196 m.
The time interval for the play is, t=2h=2×3600=7200s
The outer radius of the tape is, r₀ = 48mm
The inner radius of the tape is, r[tex]_{i}[/tex] = 14mm
The rotating motion of the videotape is indicated by the value of the angular velocity, which is as follows:
[tex]\omega=\frac{v}{r}[/tex].............................................................................(1)
Here, v denotes the cassette's linear speed, while r denotes the cassette's effective radius.
r=[tex]\sqrt{ \frac{r_{o}^{2} + r_{i}^{2} }{2} }[/tex]
r= [tex]\sqrt{ \frac{48^{2} + 14^{2} }{2} }[/tex]
r=35.35 mm
r ≅ 0.03535 m
And the cassette's linear speed is specified as,
[tex]v=\frac{L}{t}[/tex]
[tex]v[/tex] = 196/7200
[tex]v[/tex] = 0.027 m/s
Substitute the values in equation (1) as
[tex]\omega[/tex] = 0.027/0.03535
[tex]\omega[/tex] = 0.763 rad/s
As a result, we can infer that at some point throughout the game, both reels will be spinning at the same speed of 0.763 rad/s.
The angle of rotation in mathematics is a measurement of how much, specifically by what angle, a figure is rotated about a fixed point, frequently the center of a circle. Since an anticlockwise revolution of 310 degrees is equivalent to a full turn of 360 degrees because 310 degrees plus 50 degrees equals 360 degrees, an anticlockwise rotation of 310 degrees is also referred to as a rotation of -50 degrees.
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What are the 4 components of latency?
The four factors that makeup latency are processing delay caused by processor speed, node queueing delays caused by node load, and transmission delay caused by the bit rate of transmission.
What constitutes latency?The term "latency" refers to the amount of time that passes between the sender and the recipient of data, or between a particular user action and the resulting answer. A user's internet experience will be significantly impacted by network latency, a serious problem with internet access that can be brought on by a number of factors.
How many different kinds of delay exist?Depending on the application case, there are two forms of latency: one-way transmission and round trip. The transmission of data packets from a source to a destination is referred to as one-way latency.
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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?
The mass of the car that was at rest is 4800kg.
What is mass?
Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.
What is momentum?
As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.
m= 3600kg
Vi= 21.0m/s
Vf = 9.0m/s
conservation of momentum
mVi= (m+M) Vf
mass of rest car M = (Vi-Vf )m/Vf
M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s
M= 4800kg
Therefore, the mass of the car that was at rest is 4800kg.
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How do you calculate the fall of a ramp?
The fall of the ramp can be calculated by the falling style of the ramp. like if the ramp is falling in the rolling motion, then we can calculate the fall of the ramp by the process by which we calculate of the rolling motion of any object.
Rolling motion happens when an object roll over from a ramp or any other sloppy surface whether it is rough or smooth. many forces act on it at the same moment. also in many forces rolling tangential force and gravitational force is also acting on it at the same moment. in which the gravitational force is acting on it at a bigger pace and plays an important role in rolling of the object from the ramp or any other sloppy surface. hence, by this information we can firmly consider that a heavier object go down a ramp at a same pace as a lighter object go down a ramp because of gravitational force acting on it in a major form.
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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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In designing rotating space stations to provide for artificial-gravity environments, one of the constraints that must be considered is motion sickness. Studies have shown that the negative effects of motion sickness begin to appear when the rotational motion is faster than approximately 1.65 revolutions per minute. On the other hand, the magnitude of the centripetal acceleration at the astronauts' feet should equal the magnitude of the acceleration due to gravity on earth. Thus, to eliminate the difficulties with motion sickness, designers must choose the distance between the astronaut's feet and the axis about which the space station rotates to be greater than a certain minimum value. What is this minimum value
This minimum value is 223.9 m.
The attribute of motion of an item travelling a circular path is characterised as centripetal acceleration. Centripetal acceleration is defined as any item travelling in a circle with an acceleration vector pointing towards the centre of that circle.
The acceleration felt when moving in a uniform circular motion is known as centripetal acceleration. It always points toward the rotational centre. It is parallel to the linear velocity. The centripetal force is measured in an inertial frame of reference, whereas the centrifugal force is measured in a non-inertial frame of reference. Centripetal force is directed towards the axis of rotation or the centre of curvature, whereas centrifugal force is directed away from the circle's centre.
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A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.
53.24 km/hr is the journey's average speed.
What is the SI unit for average speed?Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.
total radius. A scalar quantity, that is. M/s is its unit.
What does Formula 9 for Average Speed mean?The length of the entire path traveled divided by the duration of the motion is the definition of average speed.
Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km
Average trip speed would be 80.5/1.512=53.24 km.
Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.
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How far do you have to move the moon so the force of gravity on it doubles?
The gravitational attraction between two objects grows in strength with each object's mass. The gravitational force between two objects doubles when one of the objects' masses doubles.
Is gravity 9.8 meters?The acceleration that gravity imparts to objects falling freely is used to quantify gravity. At the surface of the Earth, gravity accelerates at a rate of around 9.8 meters (32 feet) per second. As a result, an object in free fall accelerates by 9.8 meters per second for every second that it is falling.
Is the gravitational field constantly 9.8 N kg strong?The gravitational field strength of the Earth is 9.8 N/kg. Accordingly, an item will feel 9.8 N of force for every kg of mass. That weight of a thing is lower if the gravitational field is weaker. The Moon, for instance, has a gravitational field that is 1.6 N/kg strong.
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A baseball has a momentum of 6.0kg*(m)/(s) south and a mass of 0.15kg. What is the baseball's velocity?
A baseball weighs 0.15kg and has a south momentum of 6.0kg m/s. The speed of the baseball was (v) = 40 m/s south.
It's a physical magnitude that measures the product of the mass by the velocity of a particle. Its units in the International System is kg. m/s and the formula is
p = mv
where
m is the mass of the object
v is its velocity
In this problem, we know:
p = 6.0 kg m/s is the momentum of the baseball
m = 0.15 kg is its mass
Therefore, we can re-arrange the equation to find the baseball's velocity:
v = p/m
v = 6.0/0.15
v = 40 m/s south
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which of the following is not a petroleum product
a. rayon clothing
b. a candle
c. petrochemicals
d. wool
Answer:
wool
Explanation:
Wool comes from sheep. Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.
If a non-rotating object has no acceleration, then we can say for certain that it is A) in mechanical equilibrium. B) moving at constant non-zero velocity. C) at rest. D) all of the above E)none of the above
(A) in mechanical equilibrium is correct option, as there is no net force acting on it. A non-rotating object that has no acceleration can be said to be in mechanical equilibrium.
What is the definition of mechanical equilibrium?Mechanical Balance When all forces acting on an object of interest are equal to zero, mechanical equilibrium has occurred. The balance of all the forces must exist for this to occur.
What distinguishes mechanical equilibrium from static equilibrium?A reversible reaction is in a stable state called dynamic equilibrium when the rate of the forward reaction equals the rate of the backward reaction. The reaction has come to an end when there is static equilibrium, sometimes referred to as mechanical equilibrium. Or to put it another way, the system is idle.
Can mechanical equilibrium exist for an object in motion?When an object's acceleration is equal to zero, it is said to be in mechanical equilibrium. The object is either at rest with no change in position over time or it is traveling at a constant pace in this state. The net force acting on the object is equal to zero since the acceleration is zero.
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17. A uniform rod of length 120cm and mass 0.7kg, is suspended horizontally by two vertical strings at points 12cm from each end. If masses of 4.0 and 2.0kg are hung on it at points 20cm respectively from one end and 25cm. from the other, what would the tension in the strings be?
pls answer quickly
Answer:
To solve this problem, you can use the principle of transverse static equilibrium. This states that the sum of the forces acting on an object must be equal to zero for the object to be in equilibrium. In this case, the forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod.
First, you can find the weight of the rod by multiplying its mass by the acceleration due to gravity:
Wrod = mrod * g
= 0.7 kg * 9.8 m/s^2
= 6.86 N
Next, you can find the weight of the 4.0-kg mass by multiplying its mass by the acceleration due to gravity:
W1 = m1 * g
= 4.0 kg * 9.8 m/s^2
= 39.2 N
You can find the weight of the 2.0-kg mass in the same way:
W2 = m2 * g
= 2.0 kg * 9.8 m/s^2
= 19.6 N
To find the tension in the strings, you can use the principle of transverse static equilibrium. The forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod. You can represent these forces as vectors acting at the points where the strings are attached to the rod. The vectors representing the tension in the strings will be equal in magnitude but opposite in direction. The vectors representing the weight of the rod and the masses will act vertically downward.
[asy]
unitsize(2cm);
pair P1, P2, P3, P4;
P1 = (0,0);
P2 = (1,0);
P3 = (0.8,0);
P4 = (0.2,0);
draw((-1,0)--(2,0));
draw((0,-1)--(0,1));
draw(P1--P3,red,Arrow(6));
draw(P2--P4,red,Arrow(6));
draw(P3--P4,red,Arrow(6));
draw((P1)--(P1+(0,-0.7)));
draw((P2)--(P2+(0,-4)));
draw((P2)--(P2+(0,-2)));
label("$T_1$", (P1 + P3)/2, red);
label("$T_2$", (P2 + P4)/2, red);
label("$W_{rod}$", (P3 + P4)/2, red);
label("$W_1$", (P2 + P4 + (0,-4))/2, red);
label("$W_2$", (P2 + P4 + (0,-2))/2, red);
label("$12$ cm", (0,0.2), red);
label("$20$ cm", (0.4,-0.4), red);
label("$25$ cm", (0.75,-0.4), red);
[/asy]
The sum of the forces in the x-direction must be equal to zero, so you can set up the following equation:
T1 - T2 = 0
The sum of the forces in the y-direction must also be equal to zero, so you can
An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.
The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.
An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.
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PLSS HELP
A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car.
According to Newton's third law of motion the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.
What is collision?Collison is a short time force acting between two objects. There are both elastic and inelastic collision. In elastic collision, the kinetic energy and momentum of the colliding system is conserved whereas in inelastic collision, the kinetic energy is not conserved.
For any type of collision, we can apply Newton's third law of motion. This law states that, for every action there is an equal and opposite reaction. Therefore, in a collision, the force exerted by each object will be equal and opposite in direction.
Therefore, the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.
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a total of 10.0j of work is done in accelerating a 20-n object from rest across a horizontal frictionless table. what is the total kinetic energy gained by the object
The total kinetic energy gained by the object when accelerating a 20-n object from rest across a horizontal frictionless table is 10.0 J.
How do you determine the total kinetic energy?To determine the total kinetic energy gained by the object, we can use the work-energy principle, which states that the work done on an object is equal to the change in kinetic energy of the object.
Work done = change in kinetic energy
W = Kf - Ki
where
W = work done (10.0 J)
Kf = final kinetic energy
Ki = initial kinetic energy (0 J, since the object is at rest)
Given the information provided, we know that a total of 10.0 J of work is done in accelerating the 20-n object from rest.
So,
Kf = W + Ki
Kf = 10.0 J + 0 J
Kf = 10.0 J
Therefore, the total kinetic energy gained by the object is 10.0 J
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Every year, new records in track and field events are recorded. Let's take a historic look back at some exciting races. On August 20, 1989, in Cologne, West Germany, Said Aouita of Morocco also established a world record when he ran the 3000. m run in 7 minutes, 29.45 seconds. What was his average speed (in m/s) for the race
Said Aouita's average speed for the race was 12.089 m/s. To calculate this, we need to divide the total distance (3000 meters) by the total time (7 minutes and 29.45 seconds).
Converting the time to seconds, we get 449.45 seconds.
Therefore,
3000 / 449.45 = 12.089 m/s.
This is an impressive speed for a 3000 m race and it was a new world record at the time. Aouita was the first runner to break the eight minute barrier in the 3000 m, a feat he accomplished in 1987. His world record lasted for almost 3 years until it was broken by Moses Kiptanui in 1992. Aouita's world record is a testament to his incredible speed and endurance.
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30kg Michaela is swinging on a swing. Her total mechanical energy is 600 J. At what height will she be when she has a velocity of 2 m/s?
Please show all work!
40 points!!
Answer:
1.84 m
Explanation:
ME = KE + PE = 1/2mv² + mgh
600 J = 1/2(30 kg)(2 m/s)² + (30 kg)(9.8 m/s²)h
Solve for h:
600 J = 60 J + (294 kg·m/s²)h
h = 540J/294kg·m/s² = 1.84 m