A worker uses a pulley (Links to an external site.) system to raise a 225 N carton 16.5 m. A force of 129 N is exerted and the rope is pulled 33.0 m. What is the IMA of the system

Answers

Answer 1

Answer: 1.74

Explanation: “How do you calculate the mechanical advantage of a block and tackle pulley?To calculate the mechanical advantage, we can either divide the weight of the object being lifted by the force required to lift it or we can divide the amount of rope we have to pull by the distance the object moves."If we use the rope method the mech advantage is  33.0/16.5 = 2   now if we use the forces   MA = 225/129 =1.74 <==== this is not equal to '2' as we first found due to energy being lost to friction/deformation of rope etc.              SO I would say the truemechanical advantage = 1.74  Efficiency =  1.74/2 = 87%


Related Questions

When you step on the break, the car engine rotation rate decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is the magnitude of the average angular acceleration

Answers

The average angular acceleration has a value of 0.74 rad/s2.

What leads to a reduction in angular speed?

Applying a force tangential to the rim and in the direction of the instantaneous velocity of the piece of the rim you are applying the force to will most likely increase the angular speed. Reversing the direction of the force will slow down the angular speed.

What are the positions of and when rotation is accelerating?

(rad/s)/s or rad/s2 are the units of angular acceleration. If rises, is a positive number. is negative if it decreases. Remember that the positive direction is counterclockwise and the negative direction is clockwise.

F = m r α . τ=mr2α. τ = m r 2 α

initial rotaton speed=10rad/s

final speed=6.3rad/s

time=5sec.

α=(10-6.3)/5 =.74rad/s

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Sound travels at 343 m/s through dry air.If a lightning bolt strikes the ground 2000 m away from you,How long will it take for the sound to reach you?

Answers

The time it takes the sound wave to travel to and fro through 2000 m is 11.66 seconds.

What is sound wave?

A sound wave is the pattern of disturbance caused by the movement of energy traveling through a medium.

To calculate the time it takes the sound wave to travel, we use the formula below

Formula:

t = 2d/v...................... Equation 1

Where:

t = Timed = Distancev = Velocity

From the question,

d = 2000 mv = 343 m/s

Substitute these values into equation 1

t = (2×2000)/343t = 11.66 seconds

The time it takes is 11.66 seconds.

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d. A brass measuring tape is correct at 20°C. The value obtained when the length of a field is measured with the rule at 50°C appears to be 70.5 m. What is the true length of the field? Linear expansivity of brass 1.8 x 10-5 K-1,​

Answers

Answer:

The answer would be 52.8m

________ are designed to smother a small fire and are very useful in putting out a fire on a person.

Answers

An extinguishing agent, including such water or chemicals, is stored in a fire extinguisher. It is not intended to put out a large fire, only a small one.

How do fire extinguishers function?

To burn, fire needs fuel, heat, and oxygen. In order to stop a fire from spreading, fire extinguishers use a substance to reduce the heat of the flames, smother the fuel, or cut off the oxygen supply. If used by a trained person, a portable fire extinguisher can quickly put out a small fire.

Why is the red fire extinguisher?

First off, red is the color linked to both danger and fire, making fire extinguishers an obvious association. Second, red is the color that is easiest to see, particularly in darker settings like a smoke-filled

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what is the relationship between star temperature and luminosity in the main sequence

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The relationship between star temperature and luminosity in the main sequence is known as the main sequence mass-luminosity relationship.

What is luminosity?

Luminosity is the amount of light and other forms of electromagnetic radiation emitted by a star, galaxy, or other celestial object. It is typically measured in units of watts per square meter (W/m2). Luminosity is related to the total energy output of a star or other celestial body and is an important factor in determining its temperature, composition, and other physical properties.

This relationship states that the hotter the star, the more luminous it is. This is because hotter stars are more massive and more luminous than cooler stars. As the star's temperature increases, so does its luminosity.

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o, the point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around ________ frames per second. 16 - 20

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The point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around 8 - 12 frames per second.

What is frames per second?

The frequency (rate) at which consecutive images (frames) are captured or displayed is known as frame rate and is expressed in frames per second (FPS). The phrase is equally applicable to motion capture devices, computer graphics, and film and video cameras.

Frame frequency, also known as frame rate, is measured in hertz. Frame rate in electronic camera specifications may refer to the highest possible rate, whereas in practise, other settings (like exposure time), may reduce the frequency to a lower number.

Individual differences exist in both the type and properties of the visual stimulus as well as the temporal sensitivity and resolution of human vision. The human visual system can process 10–12 images per second, each of which is perceived individually; higher rates are interpreted as motion.

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Why momentum is denoted by P?

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It's unknown where the term "p" for momentum first appeared. Since m had already been used for "mass," it has been proposed that the p may have been derived from the Latin petere or from "progress".

Why is momentum given the letter p?

The letter "I" would cause a misunderstanding between inertia and moment of inertia. The French and Germans selected "p" for momentum because of this.

What does the momentum unit p mean?

The formula p = mv can be used to compute momentum, where p stands for momentum, m for mass, and v for velocity. The usage of the letter p to represent momentum has various benefits. First off, it would be unclear to use m for momentum because m stand for mass.

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An infinite line of charge produces a field of magnitude 4.5 ( 104 N/C at distance 2.0 m. Find the linear charge density.

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the linear charge density of the infinite line of charge is 5 x 10^-6 C/m.

The linear charge density (λ) of an infinite line of charge is a measure of the charge per unit length. It is given by the equation:

λ = E / k. Where E is the electric field strength at a given point and k is the Coulomb's constant (9 x 10^9 N m²/C²). We know that the electric field strength at a distance of 2.0 m from the line of charge is 4.5 x 10^4 N/C. So we can substitute these values into the equation above to find the linear charge density:λ = (4.5 x 10^4 N/C) / (9 x 10^9 N m²/C²) λ = 5 x 10^-6 C/m Therefore, the linear charge density of the infinite line of charge is 5 x 10^-6 C/m. This means that there is 5 x 10^-6 Coulombs of charge per meter of length on the line of charge.

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If hydrogen gives off 10 units of energy, but takes 15 units of energy to produce, what is its net energy ratio

Answers

The net energy ratio of hydrogen is 0.67.

What is net energy ratio?

The net energy ratio, also known as energy return on investment (EROI), is a measure of the efficiency of a fuel source or energy system. It represents the ratio of the energy output to the energy input, or the amount of energy that is produced compared to the amount of energy that is required to produce it.

A net energy ratio of 1 means that the energy output is equal to the energy input, and that no net energy is produced.

In the case of hydrogen, it gives off 10 units of energy but takes 15 units of energy to produce, so the net energy ratio would be:

Energy output / Energy input = 10 units / 15 units = 0.67

Hence, the net energy ratio of hydrogen is 0.67. This means that for every 1 unit of energy put into producing hydrogen, only 0.67 units of energy are obtained.

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Suppose you have a light spring stretched out and one end is attached to a wall. With this setup, you can move the free end in any of three directions (x,y, z). The spring lies along the z axis.
Which type of wave do you create when you move the free end along the z axis?
Which type of wave do you create when you move the free end along the x axis?
Which type of wave do you create when you move the free end along the y axis?
CHoose one for each.
transverse
longitudinal

Answers

When you move a stretched out light spring one end attached to a wall lying in z-axis along z-axis, you get a longitudinal wave and when along x-axis or y-axis, you get a transverse wave.

When you move the free end of the spring along the z axis (the axis along which the spring is stretched), you create a longitudinal wave. This is because the displacement of the spring particles is in the same direction as the direction of wave propagation.

When you move the free end of the spring along the x axis, you create a transverse wave. This is because the displacement of the spring particles is perpendicular to the direction of wave propagation.

When you move the free end of the spring along the y axis, you create a transverse wave. Similarly to x axis, the displacement of the spring particles is perpendicular to the direction of wave propagation.

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In 1935, a french destroyer , La Terrible , started from rest and accelerates to attain a speed of 83km/h. Suppose it took 2 minutes for the ship to speed up. Find the ships average acceleration.

Answers

According to the given statement The ships average acceleration is 2790 km/hr².

What is an explain acceleration?

A measure of how quickly motion's speed and direction change over time. When a point or object advances or decelerates, it is moving straight forward. Motion on a circle increases despite the same speed because the direction is always changing.

Calculation:

We know that from newton's equation,

v² + u² = 2as

S = ut + 0.5 at²

Where, v = final speed

           u = initial speed

           a = acceleration

           S = distance covered

            t = time taken

Given, u = 0

So the equations becomes:

v² = 2as

S = 0.5 at²

Using these equations we get:

v² = 2a(0.5)at²

v² = a²t²

v = at

v/t = a

Given,  v = 93 km/hr

          t = 2 min = 2/60 hr

Putting these values in above equation we get, a = 2790 km/hr²

So, the ships average acceleration is 2790 km/hr²

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A person weighing 6:0 102 newtons rides an elevator upward at an average speed of 3.0 meters per second for 5.0 seconds. How much does this person's gravitational potential energy increase as a result of this ride

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This ride increases this person's gravity potential energy by 9000 Joules.

What is gravitational force ?

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.

What is energy ?

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Weight of the person, W = 6 x 102 N = 600 N

Avg. Speed of elevator, v = 3 m/s

Time of ride, t = 5 sec.

Therefore,

Mass of the person, m = W/g = 600/9.8 = 61.2244 kg

Height of the elevator after 5 sec, h = v x t = 3 x 5 = 15 m

Potential energy increase , PE = mgh = 61.2244 x 9.8 x 15

                                              PE = 9000 Joule

Therefore, 9000 Joule does this person's gravitational potential energy increase as a result of this ride.

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How is torque calculated using the moment arm?

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Torque is calculated using the moment arm is Torque =Lever Arm x Fy (or Force sin( )) Torque = Force (Fm) x Moment Arm.

How is torque moment calculated?

Calculating Torque: The formula for torque is =|r| |F|sin = | r | | F | sin, where |r| is the size of the lever arm, |F| is the size of the force vector, and is the angle created between the two vectors.

Is torque equivalent to the moment arm?

In mechanics, they have slightly different meanings but the same meaning in physics. The moment is a static force, whereas the torque is a moving force, even though they both have the same unit, N-m. Torque is utilized when there is rotation, whereas moment is used when there isn't.

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The Humber Bridge in England has the world's longest single span, 1410 m. Calculate the change in length of the steel deck of the span when the temperature increases from -5.0 degree C to 18.0 degree C.

Answers

Assuming the steel deck has a coefficient of linear thermal expansion of 12 x 10-6 m/m/°C, the change in length of the steel deck of the span when the temperature increases from -5.0 degree C to 18.0 degree C is 2.16 m. (1410 m x 12 x 10-6 m/m/°C x 23°C = 2.16 m)

Steel is an alloy made of iron and other elements, and is one of the most widely used materials in the world. Steel structures such as bridges are subject to changes in size and shape due to changes in temperature. When steel is exposed to temperatures higher than 0°C, it expands, and when it is exposed to temperatures lower than 0°C, it contracts.

The coefficient of linear thermal expansion is the rate at which the length of an object changes with temperature. This coefficient can vary depending on the type of steel and other factors. For the Humber Bridge, the steel deck of the span has a coefficient of linear thermal expansion of 12 x 10-6 m/m/°C. Therefore, when the temperature increases from -5.0°C to 18.0°C, the steel deck of the span will expand by 2.16 m.

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Does the effective thermal conductivity of an insulation system account for heat transfer by conduction alone

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Yes, effective thermal conductivity of an insulation system accounts for heat transfer by conduction.

What do you mean by thermal conductivity?

Thermal conductivity is a property of a material that describes its ability to conduct heat. It is typically measured in units of watts per meter per kelvin (W/m·K). The thermal conductivity of a material is affected by various factors, such as temperature, pressure, and the presence of impurities or defects.

The effective thermal conductivity of an insulation system is a measure of its ability to resist heat transfer by conduction. It does not take into account other forms of heat transfer, such as convection or radiation.

The value of the thermal conductivity is typically measured by determining the rate of heat flow through a sample of the insulation material under specific conditions of temperature and pressure.

The lower the thermal conductivity, the better the insulation's ability to resist heat transfer by conduction.

Hence, effective thermal conductivity of an insulation system accounts for heat transfer.

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What is the lever arm formula?

Answers

The distance that separates the force's line of action from its rotational axis is known as the lever arm. and the torque's magnitude is = N m.

τ = F x r

Signs:-  Torque = τ

Force = F

Lever Arm Length = r

In many electromechanical driving systems, lever arms are used. Axles and spindles are nonrotating shafts, while transmission shafts are rotating components that move power and torque from one place to another. Shafts can be either hollow or solid. In gate drive applications, particularly for radial gates and vertical gates, hollow shafts are sometimes referred to as torque tubes.

This is so that they can transfer torque to a hoist winch, which is their main function in these gate drives. For gate drives, the shafting may be subjected to axial forces, torsion from transmitted torque, bending from transverse loads from gears, sprockets, and sheaves, and torsion owing to transmitted torque.

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The crest of one wave of amplitude 1 meter intersects the crest of another wave of amplitude 3 meter. What is the resultant amplitude

Answers

A wave crest is the tallest point in the wave with the greatest displacement value. The junction of the 3-meter and 2-meter waves produces a 1 metre amplitude.

What exactly is amplitude ?

The amplitude of a wave is the measurement of the wave from its still position to its crest or trough. It is measured in metres.

When the wave is crossed, the elevation is 3 metres and the depression is 2 metres, resulting in an amplitude that causes destructive interference. Because 3 m is above the baseline and 2 m is below it, the resultant amplitude is 3 - 2 = 1 m.

As a consequence, the resultant amplitude is one metre.

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What is the total distance the particle travels from t 0 to t 4?

Answers

the whole distance is five. The main point is that you must be aware of if and when the particle reverses course.

In order to determine the velocity, differentiate the displacement and set it to zero.

It is obvious that at t=1, the velocity is zero.

S=3 is the starting location at time t=0. At t=1,s=2 \s.

The total distance traveled is 1.

The additional distance traveled is 62=4 at time t=3 and s=6.

Thus, the whole distance is five.

L=30|s′(t)|dt=30|2t2|dt=1022tdt+312t2dt=5 is the length of the image of s|[0,3] and represents the total distance traveled between t=0 and t=3. .

When calculating the traveled distance of a particle satisfying the law of motion s(t) between t=a and t=b, another method that can be used if you are unfamiliar with the arc length formula is to first determine the critical points in (a,b), such as t1tk, and then multiply those values by the following formula: |s(t1)s(a)|+|s(t2)s(t0)|++|s(b) Since there is just one critical moment in your particular scenario, t=1, L=|s(1)s(0)|+|s(3)s(1)|=1+4.

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Which graph shows the change in velocity of an object in free fall?

Answers

Answer: B

Explanation:

Free fall -> constant acceleration of g = 9.81ms-1

Constant acceleration -> velocity increases at a constant rate (increases proportionally with time)

Math behind it:

* Velocity is the integration of acceleration, likewise acceleration is the differentiation of velocity. Integrating a constant value gives linearly increasing function in terms of x. (integrating with respect to x)

Hence, graph B shows the trend that velocity increases at a constant rate.

Graph A - Velocity decreases linearly

Graph C - Also decreases nonlinearly

Graph D - Not possible scenario. Velocity approaches infinity.

a skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface. (a) aat what angle will the skier leave the sphere? (b) if friction were present, would the skier fl off at a freater or lesser angle?

Answers

A skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface.

The net force on the skier in the radial direction must be equal to the centripetal force in order to sustain circular motion.

[tex]$F_{\mathrm{radial}}=\frac{m v^2}{r}$[/tex]

where [tex]v[/tex] denotes the skier's tangential instantaneous speed. Gravity and the normal force are the two forces at work on the skier. While the gravitational force is constantly radially outward, the normal force is always dependent on the angle [tex]\theta[/tex]. Therefore, the net force in the radial direction is, if the skier is at an angle of [tex]\theta[/tex] down the sphere.

[tex]$F_{\text {radial }}=m g \cos \theta-N$[/tex]

where N is the normal force's magnitude. When these two equations are combined, we get,

[tex]$\frac{m v^2}{r}=m g \cos \theta-N$[/tex]

Using the principle of energy conservation, we now substitute v with values we already know. The loss of potential energy equals the increase in kinetic energy, which on a sphere is written as,

[tex]$\frac{1}{2} m v^2=m g r(1-\cos \theta)$[/tex]

As the skier begins at rest, there is no kinetic energy at the top of the sphere. After removing [tex]v^2[/tex], we are left with the equation,

[tex]$2 m g(1-\cos \theta)=m g \cos \theta-N$[/tex]

Quantifying the situation when the skier exits the sphere is the last aspect of the issue. We can see that when theta equals 0, we get N = mg, which means that the normal force acting on the skier precisely balances the force of gravity. N decreases as the skier descends the sphere's surface, balancing the equation until it equals zero at a certain angle. This occurs precisely when,

[tex]$2 m g(1-\cos \theta)=m g \cos \theta$[/tex]

The skier is no longer in contact with the sphere when the normal force acting on the skier is zero, as the sphere no longer exerts any force on the skier. This is assumed to be the prerequisite for the skier to leave the ground.

After calculating [tex]\theta[/tex], we have,

[tex]$2 m g=3 m g \cos \theta$[/tex]

[tex]$\Longrightarrow \theta=\cos ^{-1}(2 / 3) \approx 48.19^{\circ}$[/tex]

First, we can note that this response is unaffected by the physical parameters m, r, and g. No matter how heavy he is, how huge the sphere is, or how powerful gravity is, the skier will exit the sphere at the same angle.

However, we will discover from dimensional analysis that this independence is actually not all that remarkable. Consider the units of the variables we've provided,

[tex]$[m]=$ kilograms,$\quad[r]=$ meters,$\quad[g]=$ meters $\cdot$ seconds $^{-2}$[/tex]

Any algebraic statement containing m, r, and g cannot be transformed into a dimensionless quantity. As a result, we draw the conclusion that the solution to our problem cannot depend on these values as an angle is a dimensionless quantity.

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Why is static flexibility important?

Answers

Static stretching promotes range of motion (ROM), reduces musculotendinous stiffness, and lowers the risk of acute muscle strain injuries by relaxing and lengthening the muscles.

Benefits and objectives:

Static is primarily used for variables or methods that are constant across all instances of a class. Static stretching has the potential to reduce discomfort and stiffness after a workout while also enhancing flexibility and range of motion. To help you feel more relaxed, static stretching is a fantastic approach to help your muscles release stress and tension. It is quite efficient to improve flexibility in this way. You should incorporate static stretches into your cool-down routine to help prevention of injury.

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Select the correct answer. what are you calculating when you measure the disorder of a system?
a. enthalpy
b. efficiency
c. entropy
d. energy
e. equilibrium

Answers

Therefore, entropy is the measure of the disorder of a system.

What is the measure of disorder in entropy?More specifically, the second law of thermodynamics asserts that "any isolated or closed system will always have an increasing (or at least constant) net entropy as time progresses." Entropy, which measures disorder, has an impact on every element of our daily life. The term "entropy" used in thermodynamics also refers to statistical entropy. It is a measurement of a substance's disorder at the molecular level that is aggregated and assessed at the macroscopic level. The kinetic energy of the substance is also measured by the entropy. The total amount of heat is measured by enthalpy. - Entropy is a metric used to express the degree of chaos. Both have to do with the rules of thermodynamics.

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How do you solve a torque problem in physics?

Answers

Calculate the angle between the vector connecting the force's application point and the pivot point and the direction of the applied force. You may calculate the torque by multiplying r by F and sin.

How does physics explain torque?

The force that can cause an object to revolve around an axis is measured in torque. Torque accelerates an object in an angular direction, much like force does in linear kinematics.

An easy explanation of torque

An angular force known as a torque tends to produce rotation along an axis, which could be the center of mass or a fixed point. Torque can also be thought of as a thing's capacity in order to overcome turning resistance, such as a shaft or a gear, that is rotating.

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The work you do when pushing a shopping cart twice as far while applying double the force is
A) half as much
.B) twice as much.
C) four times as much.
D) the same amount.

Answers

The work you do when pushing a shopping cart twice as far while applying double the force is twice as much as force.

What is Force?

A push or pull that an object experiences as a result of interacting with another item is known as a force. Every time two items interact, a force is exerted on each of the objects. The force is no longer felt by the two objects when the interaction ends.

Contact forces are the kinds of forces that develop when two objects interact and appear to be in physical contact with one another. Frictional forces, tensional forces, normal forces, air resistance forces, and applied forces are a few examples of contact forces.

Forces that come from action at a distance.

Therefore, The work you do when pushing a shopping cart twice as far while applying double the force is twice as much as force.

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A soccer ball is moving with a momentum of 5 kg m/s when a soccer player

kicks the ball back in the opposite direction. After the kick, the soccer ball

is moving with a momentum of 7 kg m/s. What is the impulse the soccer

player applied to the soccer ball?

Answers

The impulse applied to the soccer ball by the soccer player is the combined force and time of the kick applied to the ball.

What do you mean by Impulse?

Impulse is an instantaneous force applied to an object, resulting in a change in the object's momentum. It is a vector quantity, which means that it has both magnitude and direction. Impulse is the product of a force applied to an object for a certain period of time. It is calculated as the product of the average force applied multiplied by the time period over which the force is applied. For example, when a ball is hit with a bat, the force of the bat is applied to the ball for a certain amount of time, resulting in an impulse which causes the ball to move.

1. Calculate the change in momentum of the soccer ball:

Change in momentum = Final Momentum - Initial Momentum

                                      = 7 kg m/s - 5 kg m/s

                                      = 2 kg m/s

2. Calculate the impulse:

Impulse = Change in Momentum

             = 2 kg m/s

Therefore, the impulse applied by the soccer player to the soccer ball is 2 kg m/s.

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what's the average speed of a bike rider who rides for 3 hours at 40 km/hr and the 2 more hours at 50 km/hr

Answers

The average speed of a bike rider who rides for 3 hours at 40 km/hr and two more hours at 50 km/hr can be calculated by adding the total number of kilometers ridden and dividing it by the total time taken.

In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3×40 + 2 × 50). Therefore, the average speed of the rider is 58km/hr (290/5).

Average speed can be defined as the rate at which an object covers a given distance over a given period. It is usually measured in kilometers per hour (km/hr), meters per second (m/s), or miles per hour (mph).

Average speed is calculated by dividing the total distance traveled by the total time taken. In this case, the rider has ridden for a total of 5 hours and has covered a total of 290km (3 × 40 + 2 × 50).

Therefore, the average speed of the rider is 58km/hr (290/5).

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An argon ion laser emits light at 488 nm. What is the frequency of this radiation

Answers

The frequency of the radiation will be 6.098 x 1014 Hz.

The frequency of a radiation is measured in hertz (Hz) and is the number of complete cycles per second of a wave. It is commonly used to measure electromagnetic radiation, such as radio waves and x-rays.

An argon ion laser emits light at a wavelength of 488 nm.

To find the frequency of this radiation, we need to use the equation f = c/λ, where

c is the speed of light (299,792,458 m/s) and

λ is the wavelength in meters.

Plugging in 488 nm (or 0.000488 m) for λ gives us a frequency of 6.098 x 1014 Hz.

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1. A Major League pitcher can give a 0. 142-kg base-

ball a speed of 45. 1 m/s. Find the magnitude of the

baseball's momentum.

Answers

The baseball's momentum will be 2.75 m/s in magnitude. This is the accurate answer to the given problem.

What are velocity and momentum?

Momentum and velocity are different in that momentum is a measurement of an object's amount of motion, whereas velocity is a measurement of an object's speed with direction. Velocity is one of the components of momentum since momentum is equal to an object's mass multiplied by its speed.

Is speed the same as momentum?

p = m v . The equation demonstrates that momentum is directly related to an object's mass (m) and velocity (v). As a result, an object's momentum increases with increasing mass or velocity. The momentum of a large, swift object is larger than that of a small, slower object.

Briefing:

P initial = (145g) x (45 m/s) = 6525 g*m/s

F = 0-6525/1.0s = -6525N

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What is the difference between active and passive flexibility?

Answers

The difference between active flexibility and passive flexibility is that in active flexibility, we rely on our own muscle power to reach the end range, but in passive flexibility, we rely on an external push to reach the end range.

According to the findings of recent studies, active flexibility has a stronger connection to a person's level of sporting performance than passive flexibility does. The ability to build active flexibility is more difficult to achieve than passive flexibility. Active flexibility involves passive flexibility in addition to muscle strength in order to be able to retain and maintain the initial extended position.

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You are handed a pring that i 0. 400 m long. You hang the pring from a hook
on the ceiling and attach a 0. 750-kg ma to the other end of the pring. The
tretched pring length i 0. 450 m. What i the pring contant?

Answers

The spring constant with given length that stretches upto certain length and has specified mass has a spring constant that is calculated to be 147 N/m.

Given that,

Initial length of the spring = 0.400 m

Final length of the spring = 0.450 m

Change in length, Δx = 0.450 m - 0.400 m = 0.050 m

Mass of the hung object = 0.750 kg

Weight of the hung object, w = 0.750 × 9.8 N = 7.35 N

From Hooke's law it is said that, mathematically

Spring constant = Weight of the hung object/ change in length

Putting in the above given values into the equation, we have,

Spring constant = 7.35/0.050 = 147 N/m

The required spring constant is calculated to be 147 N/m.

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