two ice skaters stand facing each other at rest on a frozen pond. they push off against one another and the 61 kg skater acquires a speed of 0.75 m/s. if the other skater acquires a speed of 0.89 m/s, what is her mass in kilograms?

It necessary to collimate the light source before using the prism to disperse the light in order for the light rays entering the prism to be parallel.

Collimator is a tool for converting a point source's divergent radiation into a parallel beam. To perform specific measurements in spectroscopy, geometrical optics, and physical optics, the light must be collimated.

An optical collimator is made up of a tube with a convex lens at one end and a variable aperture at the other end that is located in the lens' focal plane. To examine the image without parallax, radiation entering the aperture exits the collimator as a parallel beam.

Hence, collimation is needed for the light rays entering the prism to be parallel.

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The velocity of penguin as he ends where he started was 0 m/s.

Displacement is the length of straight line joining the initial and final position of the body.

Given is a penguin who waddled 8 m uphill before sliding back down to its friends in 2 seconds.

We know that the velocity is the rate of change of displacement with respect to time. Mathematically -

v = dx/dt

dx = v dt

∫dx = ∫v dt

Δx = vΔt

v = Δx/Δt

Now, the displacement of the penguin will be = Δx = 8 - 8 = 0

Then, its velocity will be -

v = 0/Δt = 0

Therefore, the velocity of penguin as he ends where he started was 0 m/s.

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The final angular speed will be 194 rpm.

From the statement:

force = 5 N

mass of the stone = 30 kg

diameter of the stone = 30 cm = 0.30 m

the radius of the stone will be = 0.15 m

initial angular velocity = 200rpm

coefficient of kinetic friction = 0.3

time for which knife kept on stone = 10 s

moment of inertia (I) = 0.5mr² (considering the stone as a solid ring )

                                  = 0.5 (30 × (0.15)²)

                                   = 15 × 0.0225

                                    = 0.3375 kgm²

Now ,we know that

torque = I α

Also torque = F x r       (r = perpendicular distance )

here force will be μF = 0.3F

therefore ,

Iα = μF × r

0.5 (30 × (0.15)²) × α = 0.3 × 5 × 0.15

∴ α = 0.6

the value of acceleration will be negative as the wheel is slowing down

∴ α =  - 0.6

       Now , using the 1st equation of motion

ω' = ω +αt

ω' = 200 -0.6 (10)

ω' = 194 rpm.

Hence the angular speed of the stone will be 194 rpm.

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the ratio of the moment of inertia through the second axis to the moment of inertia through the first axis is 0.676

The second axis is at the centroid of the rod.

The length of the rod is L = 100 cm = 1 m

The first axis is located at 20 cm = 0.2 m from the centroid.

Let m =  the mass of the rod.

The moment of inertia about the centroid (the 2nd axis) is

Ig =  ml^3/12 = (m kg) (1 m)^2/12 = m/12 kg - m^2

The parallel axis theorem states that

I1 = m/12+0.04 m = 0.1233 m kg - m2 is the moment of inertia about the first axis.

The ratio of the moment of inertia through the centroid of the second axis to the first axis is

Ig/I1= 0.0833 m / 0.1233 m = 0.676

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The steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.

A balanced chemical equation is defined as a formula where both the reactants and the products have the same amount of atoms of each kind.

It can also be defined as an equation for a chemical reaction that accounts for the overall charge and the number of atoms for each reacting element.

Steps for balancing the chemical equation

Thus, the steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.  

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Answer:

When an apple falls from a tree tothe ground, the potential energy ofthe fall is converted into kineticenergy,which is kinetic energy. Whenan apple hits the ground, it convertskinetic energy into heat energy

Explanation:

Question:

What happens to the mechanical energy of the apple as it falls from the tree?

Answer:

When the apple falls from the tree, it has some gravitational potential energy due to its height. When it fails, the Gravitation Potential energy will begin converting into Kinetic Energy.

Of the two possible angles, the smaller angle is θ = 17.075°.

The distance between a projectile's launch point and its point of impact with the ground, assuming it is fired from the ground, is referred to as the range.

R = [u²sin (2θ)]/g

Given values;

Range of pass; R = 8.25  m

Speed; u = 12 m/s

R = [u²sin (2θ)]/g

Thus;

8.25  = 12² × (sin(2θ))/9.8

(sin(2θ)) = ( 8.25 × 9.8)/12²

(sin(2θ)) = 0.5614

2θ = sin⁻¹(0.5614)

2θ = 34.15

θ =34.15/2

θ = 17.075°

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The mass of the ball is 6.8 kg.

A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force.

Mass is not the same as weight in physics, despite the fact that weight is commonly determined using a spring scale rather than a balanced scale and directly compared with known masses. An object would weigh less on the Moon than it does on Earth despite maintaining the same mass because of the lower gravity there.

We know that the formula of potential energy is,

P.E = mgh

Where m is the mass of the object g is the acceleration due to gravity and h is the height.

Given :

PE = 200 J

g =9.8 m/s^2

h = 3m

Therefore according to the question,

3 x 9.8 x m = 200

=> m = 200 / 3 x 9.8

=> m = 6.8 kg

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If two balls the same size and different masses go down a ramp, they will move at the same speed.

The phrase "rolling down a frictionless slope" is illogical. The translational and rotational motions of the balls are completely uncoupled if the slope has no friction, and the balls just slide down the slope.

I believe the situation when there is static friction, allowing the balls to roll without slipping, is what you are most interested in.

In either case, the velocity as a function of distance along the ramp (v(s)) for uniform spheres ends up being independent of both the mass and the radius. Additionally, the duration of the descent is simply the integral of ds/v(s), which is also independent of the mass and radius.

As a result, they move at the same speed regardless of position and arrive at the bottom at the same moment.

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his average momentum along the straight-line path id 981.21kgm/s

What is momentum ?

momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.

Average velocity,

v = distance / time

= 100 m / 9.58 s

= 10.44 m/s

Now use:

momentum = m*v

= 94 Kg * 10.44 m/s

= 981.21 Kg m/s

Answer: 981.21 Kg m/s

his average momentum along the straight-line path id 981.21kgm/s

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A force is a power that can exchange the movement of an object. A pressure can reason an object with mass to exchange its pace, i.e., to boost up. force can also be described intuitively as a push or a pull. A force has both value and path, making it a vector amount.

Acceleration is the price of change of the rate of an item with admire to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item

Force = mass × acceleration

since friction is zero

mass = Force / acceleration

         = 14 / 3.45

         = 4.0579 kg

On adding a second block of the same mass

total mass = 4.0579 + 4.0579 kg

                =  8.2 kg

new,

acceleration = force/ mass

                      = 14/8.2

                      = 1.7073 m/s²

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Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide a- Car A applies a greater force on car B than car B applies on car A.

Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.

When both the cars will collide , one with greater momentum will applies greater force .

As momentum is calculated  as mass multiplied by velocity , since both the car have same mass then the car with a greater velocity will exert more force on the other car .

since , car A has a velocity of 30 m/s and car B is moving with a velocity of 15 m/s , then car A will have greater momentum and will exert  a greater force on car B.

correct option will be

a- Car A applies a greater force on car B than car B applies on car A.

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If the two known sides of the force triangle are drawn to scale, we can determine the magnitude of the resultant vector by measuring the length of the vector and  by the scale factor used for the other two sides.

The size of the force triangle can be determined by measuring the length of the resultant vector and multiplying it by the scale factor used for the other two sides if the two known sides of the force triangle are drawn to scale. We can measure its angle using a compass from the same reference line to determine its direction.

The force triangle must be drawn accurately, and the length and angle of the resulting triangle must be measured precisely for the graphical approach to be accurate. Consequently, a significant mistake could be introduced.

Using the laws of sines and cosines to solve for the resultant is an alternate method. To do this, we must first identify the scale force triangle's angle b. Since the opposite corners of a parallelogram have identical angles, we may calculate the value of b using the force parallelogram given below.

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The particle's speed at t=1 is 4 + 2 = 6 m/s. The particle moves at a speed of 4+22=8 m/s when t=2. The particle's velocity is 4+2t m/s after t seconds.

We presented the kinematic functions of velocity and acceleration using the derivative in Instantaneous Velocity and Speed and Average and Instantaneous Acceleration.

The velocity function was discovered by taking the derivative of the position function, and the acceleration function was discovered by taking the derivative of the velocity function.

We can calculate the velocity function from the acceleration function and the position function from the velocity function using integral calculus.

A particle travelling in a straight line whose velocity drops from 5 m/s to 2 m/s uniformly over the course of one second experiences a constant acceleration of 3 m/s2.

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Answer:

Choice d: support force (normal force) on the cat and the weight of the cat are equal in magnitude.

Explanation:

The cat in this question is stationary. As a result, the acceleration of this cat will be zero. By Newton's Second Law of Motion, the net force on this cat will also be zero.

If the floor is level, there will be two forces acting on this cat:

For the net force to be zero, these two forces need to balance each other. For that, they need to have the same magnitude and point in opposite directions. Therefore, the magnitude of the support force (normal force) will be equal to the magnitude of the weight of this cat.

Newton's second law states that the product of the box's mass and acceleration determines the net force acting on the object. T, which equals f= 23.52 N, must be applied in order to move up the ramp.

The behaviour of objects for which all external forces are balanced is predicted by Newton's first law of motion. According to the first law, sometimes known as the law of inertia, an object's acceleration will be zero metres per second per second if the forces acting on it are evenly distributed. When everything is in balance, or equilibrium, objects cannot accelerate. According to Newton, an item will only accelerate if another force is operating on it that is net or imbalanced. If an imbalanced force is present, the object will accelerate and change its direction and speed, or both. The behaviour of objects for whom all external forces are not balanced is covered by Newton's second law of motion.

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If acceleration, acceleration would be too fast in square metres. Therefore, this information equals the final minus initial divided by a, which is 15 m/s minus 5 m/s divided by 2 m/s squared. Five seconds are involved.

The three different forms of projectile motion are as follows: motion of a horizontal projectile. projectile motion that is oblique. Motion of a projectile on an incline

An item or particle that is thrown toward the surface of the Earth and moves along a curved route only under the influence of gravity is said to be experiencing projectile motion.

The movement of a falling item (projectile) after being assigned a forward beginning velocity The only forces affecting a projectile are gravity and air resistance. The ball travels along a curved route as a result of its initial forward velocity and the downward vertical pull of gravity.

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The wavelength is: 671nm (red light).

Wavelength relates to frequency as follows:

λ=vf

in which f is the frequency, 

v is the speed of light, and

 λ is the wavelength.

Filling this in for the example:

v=3⋅108ms f=4.47⋅1014

Hz=4.47⋅1014s−1λ

=3⋅108ms4.47⋅1014s−1

=6.71⋅10−7m

from m to nm is ⋅109

So the wavelength is: 671nm (red light).

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The mean value of the measurements is 2.2 cm³.

The attributes of an object or an event are measured and quantified so that they can be compared to other things or events.

Therefore, measurement is the process of determining the size or smallness of a physical quantity in comparison to a primary reference quantity of a similar kind. The range and applications of measurement depend on the situation and industry.

Measurements do not apply to nominal attributes of things or occurrences in the natural sciences and engineering, as stated in the International Vocabulary of Metrology published by the International Bureau of Weights and Measures. Measurement is essential to trade, science, technology, and quantitative research in many fields.

Mean of the measurements = (2.1+2.1+2.4)/3 = 6.6/3 = 2.2 cm³.

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Adding bulbs into a series will make them dimmer because the current is decreased, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.

Therefore, Option (C) is correct.

A series circuit is one where the same current flows through all the components in the circuit. The current has only one path in series circuits. A parallel circuit is one where the electric current has multiple paths to flow through. The components of the parallel circuits will have the same voltage across all ends.

When we connect bulbs in the circuit where all are connected in series then the net resistance of the circuit will increase and the voltage across each bulb will decrease.

Since voltage decreases across each bulb then the current across each bulb will decrease and the bulb gets dimmer because the current is reduced.

When we connect bulbs in parallel the voltage and current across each bulb will remain the same and then adding bulbs to a parallel will not affect the brightness.

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40 V

Explanation

Electric potential at any point inside a hollow metallic sphere is constant. Therefore, if potential at surface is 40 V, potential at centre will also be 40 V.

40V

also In a hollow sphere, with the charge on the surface of spheres, there is no charge enclosed within the sphere, since all the charges are in surface. Hence there is no electric field within the sphere.

I hope this helps you

Earth's gravitational field = 10N/kg

Jupiter's gravitational field = 23.6 N/kg

Jupiter's gravitational field > Earth's gravitational field

Therefore, we will weigh more on Jupiter.

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Distance horse run with maximum acceleration at t = 2.0 s is s1=11.4 m , t = 4.0 s is s2=45.6 m and t = 8.0s is s3 = 141.54 m.

An object that is speeding occasionally has a constant change in velocity over time. As was said in the previous sentence, the data table above depicts an object increasing its velocity by 10 m/s every second. Since there is a constant change in velocity every second, this is known as a constant acceleration. Contrary to popular belief, an object with constant acceleration is distinct from one with constant velocity. Refuse to be duped! Furthermore, a moving item at a constant speed is not accelerating. The following data tables show the motions of objects moving at a constant acceleration and at a variable acceleration. The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.

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Kinetic Energy = 1/2 * m *(v*v)

M= 1000

V=3 m/s

KE=1/2 * 1000 * (4*4)

KE= 500*16= 8000 J.

To calculate kinetic energy Find the square of the object's velocity. Multiply this square by the mass of the object. The product is the kinetic energy of the object. The kinetic energy of a moving car is KE=1/2mv^2. Create and test a function called KE to find the kinetic energy of a moving car given a vehicle mass m and velocity v.

As every engineer knows calculating energy is easy. The unit of electrical energy is the kilowatt hour. It is determined by multiplying the amount of electricity consumed by the number of hours the electricity was consumed. Multiply this by the cost per kWh to get the total energy cost. There are five main types of kinetic energy radiant thermal, sound electrical, and mechanical energy. Radiant energy is related to ultraviolet and gamma rays that are constantly moving through space. Acoustic energy is kinetic energy in the form of vibration or noise.

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Answer:

Kinetic energy = 8 KJ

Explanation:

Given information,

→ Mass of car = 1000 kg

→ Velocity = 4 m/s

Now we have to,

→ Find the required Kinetic energy.

Let us assume that,

→ Kinetic energy = x

The formula we use,

→ KE = (1/2)mv²

Then the value of x will be,

→ x = (1/2)mv²

→ x = (1/2) × 1000 × (4)²

→ x = (1000/2) × 16

→ x = 500 × 16

→ x = 8000 J

→ [ x = 8 KJ ]

Hence, the answer is 8 KJ.

The nursing profession offers specialized care from infancy to death. Social, psychological, and economic issues are some of the challenges faced by minority nurses.

It is the nurse's responsibility to maintain continuity of care and develop a close closeness with the patient in order to foster trust and foster a climate that is safe for recovery. Numerous worldwide nursing codes of practice presently endorse patient advocacy.

Health promotion is promoted by nurses, who also teach patients and the general public how to avoid disease and damage, care for patients and help with treatment, take part in rehabilitation, and offer support. No other medical specialist has a job with such a wide-ranging and complex scope.

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A 5 kg block is pulled with 3.5 N of force to the right. The block experiences 0.5 N of friction. The acceleration of the block will be 0.6 m/s^2.

According to Newton's second law of motion, force is calculated as mass times acceleration. Acceleration is the rate of change of velocity.

Here, the block is moved to right side by applying 3.5 N force. The block experienced a frictional force of 0.5 N. Then the total force is,

F_(net) = 3.5 N - 0.5 N = 3 N

The mass (m) of the block is 5 kg. The acceleration of the block will be

Acceleration (a) = Force/Mass

a = F_(net)/m

a = 3/5 = 0.6 m/s^2

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The turntable rotates very slowly at 60 rpm, hence the coin does not slide off as the static friction force is greater than the centripetal force.

Missing data from the question:

Static coefficients of friction (μs) = 0.8

Kinetic coefficients of friction (μk) = 0.5

There are two forces works on the coin, the friction force and the centripetal force. The coin will start to slide off if the centripetal force is equal to the maximum static friction force.

Let:

Fs =  static friction force

Fc = centripetal force

Fs = μs . mg

Fc = m . v²/R = m . ω²R

Where:

m = coin's mass

g = gravitational acceleration = 10 m/s²

ω = angular velocity

Parameters given:

R = 15 cm = 15 . 10⁻² m

m = 5 gram = 5 . 10⁻³ kg

ω = 60 rpm = 60 . 2π/60 =  2π rad/s

Hence,

Fs = μs . mg = 0.8 . 5 . 10⁻³ . 10 = 4 . 10⁻² N

Fc =  m . ω²R = 5 . 10⁻³ . (2π)² . 15. 10⁻² = 2.96 .10⁻² N

Since Fs > Fc, hence the coin does not slide off.

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If it takes 30 seconds for the Batman to catch the joker while gliding towards him at 75 m/s, batman is 2,250 meters away from the joker. In kilometers, the distance is 2.25 kilometers.

Distance is calculated by the product of the speed and time.

The speed of the batman is 75 m/s and the time taken by the batman to catch the joker is 30 seconds.

Hence the distance between joker and batman is calculated as:

Distance = 75 m/s × 30 s = 2250 meters

According to unit conversion from meters to kilometers, 1 kilometers has 1000 meters. Hence the distance in kilometers is, 2.25 kilometers.

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Answer:

Explanation:

Given:

T = 1/10 s  -  Wave oscillation period

_____________________________

f - ?

The frequency of the wave:

f = 1 / T = 1 / (1/10) = 10 Hz