A student places her 420 g physics book on a frictionless table. She pushes the book against a spring, compressing the spring by 7.30 cm, then releases the book. What is the book's speed as it slides away?

If a metal cools  while releasing 160 j of heat energy, its specific heat capacity is 1.4222 J/kg. In the event that the metal weighs 5.0 g

A amount of heat unit unit of mass needed to raise temperature temperature by one degree Celsius is known as the thermal inertia or specific heat. The ability to distinguish between various polymeric composites using specific heat can be useful in calculating the processing temperatures the volume of heat required

T₁ = 225°C

T₂ = 25°C

q = -160 J

m = 5.0 g

As we know,

q = mcΔT

Now,

-160 = 5*c*(T₂-T₁)

-160 = 5*c*(25-225)

c = -160/5(-200)

c = 0.16 J/g°c.

Summary. The heat capacity of a thing is indeed the amount of energy needed to raise its temperature by one degree Celsius. The amount of energy required to raise the temperature od 1 gram of a substance by 1oC is known as its specific heat.

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The work required to stretch the spring from 12 cm to 19 cm is 0.91 J

When an object is moved across a specific distance by an external force, work is the quantity of energy that is transmitted to the object.

According to the given information

Natural length = 12 cm

Stretched length = 26 cm

Change in length ( x ) = 26 - 12 = 14 cm = 0.14 m

Force required = 26 N

It is known to us that spring force F = K x

K = [tex]\frac{F}{x}[/tex]

K = [tex]\frac{26}{0.14}[/tex]

K = 185.7 N/m

This is the stiffness of the spring

Now the Force that is required to stretch the spring F = K[tex]x_{1}[/tex]

[tex]x_{1}[/tex] = change in length of the spring = 19 - 12 = 7 cm = 0.07 m

F = 185.7 × 0.07

F = 13 N

Now the work that is done in stretching the spring W = F × [tex]x_{1}[/tex]

W = 13 × 0.07

W = 0.91 J

The work required to stretch the spring from 12 cm to 19 cm is 0.91 J

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The induced EMF in each of the loops a, b, and c is such that loop A has a counter-clockwise EMF, loop B has no induced EMF, and loop C has a clockwise EMF.

The highest potential difference between two electrodes of a galvanic or voltaic cell is what creates electromagnetic force. The characteristic has to do with how readily an element, molecule, or ion tends to gain (gain) or lose electrons.

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The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴  N.

Newton's Gravitational Law - The force between two objects is directly proportional to the product of their masses and the force between two objects is inversely proportional to the square of the distance between them.

We use the Newton's Gravitational Law formula to find the Gravitational Force on the satellite :

F = G (m₁ m₂)/r²

where,

F = Gravitational Force

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²

m₁ = mass of earth = 5.97 x 10²⁴ kg

m₂ = mass of satellite = 2050 kg

radius of earth = 6.38 x 106 m

r = distance between the centre of earth and the centre of satellite

r = distance of satellite from the surface of earth + radius of earth

r = 880000 m + 6380000 m = 7260000 m

Therefore,

             (6.67 x 10-11  N.m²/kg²).(5.97 x 10²⁴ kg).(2050 kg)

    F  =  --------------------------------------------------------------------------

           (7260000 m)²

    F = 1.548 x 10⁴  N

The Gravitational Force, Fgrav on the satellite is 1.548 x 10⁴  N.

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Capacitive reactance is measured in Ohms, just like resistance. 1,000,000 divided by 6.28 times 60 hertz times 106.1 microfarads, or 25 ohms, is the capacitive reactance.

The amount of charging a capacitor can accomplish depends on its capacitance. Capacitive reactance is a measurement of the capacitor's resistance to alternating current. The following formula can be used to determine a capacitor's capacitive reactance or impedance: The constant one million (or 106) divided by the product of 2p (or 6.28) times frequency times capacitance is known as capacitive reactance, abbreviated as x sub c (XC). where XC is the capacitance, expressed in ohms.

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A rope with the mass m and length L hangs from a ceiling. Show that the rope's wave speed at a distance of y above the lower end is v = gy.

What is the name for a wave's speed?

Wave speed is a feature of waves that can be used to describe the absolute value of phase velocity or the speed at which a wave phase moves at a specific frequency. group velocity, which differs from the phase velocity for dispersive waves, is the rate of propagation for the envelope of wave groups and frequently of wave energy.

What is a straightforward definition of wave velocity?

The distance a wave travels in a unit of time is measured by its wave velocity. It is the rate at which a particle is disturbed by something like a peak

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The acceleration of a racehorse that is running 19 m/s and the track has a radius of 50 m is 7.22 m/s².

Centripetal acceleration, the acceleration of a body in a circular orbit. Since velocity is a vector quantity (that is, it has both magnitude, velocity, and direction), as an object moves along a circular path, its direction and velocity constantly change, resulting in acceleration. The centripetal acceleration ac has a magnitude equal to the square of the body velocity v along the curve divided by the distance r from the center of the circle to the moving body. That is, α = v²/r. Centripetal acceleration has units of meters per second squared. The force that causes this acceleration is also directed toward the center of the circle and is called the centripetal force.

α = v²/r

Where, α = centripetal acceleration

r = radius (50 m)

v = velocity (19 m/s)

α = 19²/50

α = 7.22 m/s²

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When a metal car is struck by lightning, the resulting electric field inside the car is zero.

The electric force per unit charge is referred to as the electric field. It is assumed that the field's direction corresponds to the force it would apply to a positive test charge.

The roof and walls of the car provide a path of less resistance than the interior of the car, which is why a person inside a car does not get struck by lightning.

When lightning is present, it is safer to sit under a car than to stand under a tree. Inside the car, there is no electric field.

The metal cage that encloses the occupants of cars protects them from lightning.

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All of the objects that have been listed in the question have been ranked on the basis of the orbital period around the Sun from shortest to longest in the solar system below.

The items included are all objects that are present in the solar system other than the planets, moons, and stars. These objects, just like every other body, have an orbit in which they revolve and their revolution takes place around the Sun as well.

The order on the basis of their orbital period around the Sun from shortest to longest is as thus -

A typical asteroid in the asteroid belt, a trojan asteroid, a typical Oort cloud object, a typical Kuiper belt object

The orbital period of the items is also as thus -

A typical asteroid - 3 to 6 years

A trojan asteroid - 150 to 200 years

A typical Oort cloud object - 200 years

A typical Kulper Belt object - About 10,500 years

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The greatest distance that is measured from the  the pivot, that the center of gravity of an 600 kg piece of heavy machinery can be placed without snapping the rope is 1.37 m

We would have to solve for the tensile strength first.

The tensile strength is given as: T /A

The radius = diameter / 2

= 7 / 2

= 3.5

area = πr²

=We would have to solve for the maximum force from here

6 x 10⁷ x π *(3.5*10⁻³)² = 2309.1

Next we would have to solve for the greatest distance

The net torque is given as 0

Fmax x L = m*g*x

2309.1*3.5 = 600*9.8*x

8081.85 = 5880x

divide through to get the value of x

x = 8081.85 /  5880

= 1.37m

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A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been permanently deformed.

What causes permanent deformed?

When a material is subjected to stresses that are greater than its yield strength and cause it to elongate, compress, buckle, bend, or twist, this permanent distortion is known as plastic deformation.

Plastic deformation occurs when a metal is sufficiently stressed to permanently alter its shape. A few atomic bonds are broken during plastic deformation, as was covered in the section on crystal defects, as a result of the movement of dislocations.

When a structural part of a rail vehicle experiences permanent deformation, its shape changes.

Therefore, A slinky is stretched by two forces. When the forces are removed, the slinky returns to its original length. The slinky has been permanently deformed.

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This indicates that the size of forces between the like charge are strong.

What is charge?

Electric charge is the property of subatomic particle. This property makes these particles to experience the electric force of attraction and repulsion. there are two type of charges, positive and negative charge. The force experienced by two like charges is of repulsion and that of unlike charges is attraction. These forces are proportional to the extend of charge.

What are like and unlike charges?

The charges that experience the electric force of attraction when brought closer are known as unlike charges. When +ve and -ve charges are brought closer they experience the electric force of attraction. The charges that experience the electric force of repultion when brought closer are known as like charges. When two +ve and +ve charges are brought closer they experience the electric force of repulsion.

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A. The average kinetic energy for each atom of argon gas in the cylinder is 6.04 × 10⁻²¹ Joule.

B. The number of moles of argon inside the cylinder is 1.38 × 10² mol.

The formula to calculate the average kinetic energy for monoatomic gas is

KE = 3/2 kT

KE = 1.5 kT

KE = 1.5 × 1.38 × 10⁻²³ × 292

KE = 6.04 × 10⁻²¹ J

For every ideal gas applies the ideal gas equation

PV = nRT

PV = nRT

1.7 × 10⁶ × 1.97 × 10⁻¹ = n × 8.314 × 292

3.35 × 10⁵ = n × 2.43 × 10³

n = 1.38 × 10² mol

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Radius of the planet's orbit is 2.15 * [tex]10^{-6}[/tex] m

Radius of the orbit can be calculated by applying Kepler's third law, which  compares the motion characteristics of different planets, i.e. it compares the orbital period and the radius of the orbit.

Where

T = Time period = 300Days ( Period)

r = radius

G =   Gravitational constant = 6.67 * [tex]10^{-11}[/tex] m³/Kgs

M =  Mass of the object, sun in this case = 1.99 * [tex]10^{30}[/tex] kg

Then, rearranging the Kepler's equation,

[tex]R^{3} = GMT^{2} /4\pi ^{2}[/tex]

R³ = 100 * [tex]10^{-19}[/tex]

R = 2.15 * [tex]10^{-6}[/tex] m

The radius of the planet which is reported to orbiting for 300 days is 2.15 * [tex]10^{-6}[/tex] m

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The second particle would therefore move at a speed of (-51.5) m/s.

Velocity is the directionally speed of an object in motion, as measured by a certain unit of time and seen from a particular point of reference.

According to the given information

Mass (m) = 100 gm

20 m/s is the speed.

Vertical velocity is zero at its maximum.

The system's horizontal momentum is conserved because there is no horizontal force acting on it.

[tex]m_{2}[/tex] = 100-72= 28g

[tex]m_{1}v_{1} + m_{2}v_{2}[/tex] = 0

[tex]v_{2} = -\frac{m_{1}v_{1} }{m_{2} }[/tex]

[tex]v_{2}[/tex] = (72×20)/(28)

[tex]v_{2}[/tex] = -51.5 m/s

The second particle would therefore move at a speed of (-51.5) m/s.

Negative signs point in the direction of rightward motion.

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Two balls having different speeds roll off the edge of a horizontal table at the same time, both will hit the floor at the same time.

Velocity is defined in physics as a vector measurement of direction and velocity of motion. More specifically, the velocity of an object can also be defined as the rate of change of the object's position with respect to the reference frame and time. Simply put, the term velocity describes how fast an object moves in a particular direction. Indicates whether something is moving slowly or quickly. Let's look at an example where two objects are moving. If two objects are moving in the same direction, it's easy to tell which is moving faster. However, it is very difficult to determine which object is faster when both are moving in opposite directions. Considering such difficulties and ways to overcome them, our scientists developed the concept of velocity to make it easier for observers to identify faster or slower objects.

Both balls will hit the ground simultaneously. This is because both balls were moving parallel to the ground when they left the table (remember the table is horizontal). Both balls have 0 velocity in the direction of interest, both accelerate at the same velocity and land at the same time.

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15000000 Joule work is done on the ship if it moves a distance of 3000m.

The amount of force multiplied by the distance moved in the force's direction is known as the work done by a force acting on an item. Work has no direction and only magnitude. Work is a scalar quantity as a result. SI unit of work is joule.

Given parameters:

horizontal force applied on the tugboat is: F = 5000N.

The tugboat moves a distance: d =3000m.

Hence, The work done on the ship is  = Fd =  5000N ×​ 3000m = 15000000 Joule.

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The ideal response is C. Hard magnets are substances that are permanently magnetic.

An illustration of a naturally hard magnetic substance is iron. The strongest powerful permanent magnets were NdFeB, which are produced from powdered grains of various alloys in a pressure and at high temperatures.

Soft magnets possess low values for coercivity (Hc), whereas hard magnets have high values, allowing them to maintain their magnetization even in the absence of any applied field. The hysteresis loops of soft and hard magnets are contrasted in the picture on the right.

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The resistance of the resistor r so maximum current is 40.9 mA.

A Resistor and inductor are connected to a 9.0 v battery by a switch as shown. the moment the switch is closed, current flows through the circuit. the resistor has a resistance of r.

Calculation:-

Maximum current imax = V/R

= 9/220

= 40.9 mA.

Resistors are used for many purposes. a few examples consist of restricting electric powered cutting-edge, voltage division, warmth generation, matching and loading circuits, benefit manage, and setting time constants. they may be commercially available with resistance values over various extra than nine orders of magnitude.

A circuit is a entire circular direction that energy flows via. A easy circuit includes a modern supply, conductors and a load. The time period circuit may be utilized in a preferred sense to consult any fixed route that energy, records or a sign can travel via.

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the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip is 0.488  m  

0.488  m  

If θ be the angle ladder makes with the plane

cos θ = 1.2 / 5

Tan θ = 4.04

Let the height a person of weight 600 N  can climb be h from the ground .Distance from the base point  where ladder touches the floor  = h / tanθ

= h / 4.04

Total reaction force = total downward force

R = 200 + 600

800 N

Frictional force = μ R

= .2 x 800

= 160 N

Taking moment of force about the point on the ladder  where it  touches the floor  and balancing them

200 x 1.2 x .5 + 600 x   h / tanθ  = μ R x  1.2 / tanθ ( reaction  at the top point of ladder where it touches the wall is  R₁ and

R₁ =μ R   )

= 200 x 1.2 x .5 + 600 x   h / tanθ  = 160 x 1.2 / tanθ

120  - 600 h / 4.04 = 47.52

120 - 47.52 = 600 h / 4.04

72.48= 148.51 h

h = 0.488  m  

=

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The undamped horizontal spring oscillator has an amplitude of 1.61 m when passing through its equilibrium position during oscillation.

It is given to us that -

Mass of the undamped spring oscillator, m = 2.52 kg

Spring constant during oscillation, k = 21.6 n/m

Speed of the spring oscillator, v = 3.34 m/s

We have to find out the amplitude of oscillation, say A.

According to the concept of Conservation of Energy, we can say that -

[tex]\frac{1}{2} mv^{2} = \frac{1}{2} kA^{2}[/tex] ------ (1)

where,

m = mass of the oscillator

v = speed of oscillation

k = Spring constant

A = Amplitude of oscillation

Now, substituting the given values in equation (1), we have

[tex]\frac{1}{2} mv^{2} = \frac{1}{2} kA^{2}\\= > \frac{1}{2} *2.52*(3.34)^{2} = \frac{1}{2} *21.6*A^{2}\\= > 28.11211 = 10.8A^{2}\\= > A^{2}=2.60\\= > A = 1.61m[/tex]

Therefore, the undamped horizontal spring oscillator has an amplitude of 1.61 m when passing through its equilibrium position during oscillation.

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Given details :

1.Force equilibrium in x direction

∑ [tex]F{x}[/tex] = 0

F - 39 cos Ф = 0

As Ф = 38°

F = 39 cos38°

F = 30.73 N

Force equilibrium in y direction

∑ [tex]F{y}[/tex] = 0

N = W + P sin38°

   =  70 + 39 sin38°

N = 93.79 N

Thus the normal force on chair = 93.79 N

From the free body diagram

F = μN

30.73 = μ x 93.79

μ = 30.73 / 93.79 = 0.32

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Answer:

The speed of a and b will be same about 3.333 m/s after collision.

Explanation:

In a perfectly inelastic collision the bodies gets attached to each other after collision .

In this type of collision the final  kinetic energy gets lowered than the initial one. Whereas the momentum before and after the collision still remains constant.

Thus we apply the theory of conservation of momentum.

M1V1+ M2V2 = (M1+M2)V

Thus V= 40/12 =3.33 m/s

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The magnitude of the force exerted by the sled on the student is 20N

Concept:

Every action on one body causes an equal and opposite response on the other, according to Newton's third rule of motion. It implies that if a body is pulled toward itself by a human, the body will also draw the person toward itself with the same force.

The direction of the body's response to the person will be in opposition to the direction of the person's response to the body.

The sled will similarly exert the same amount of effort on the student to drag him backward in the opposite direction as the student exerts on the sled to pull it forward.

The sled's weight moves in a vertically downward direction, therefore it has no bearing on the reaction force the sled exerts on the learner.

Consequently, the sled's force on the student was of the following magnitude: 20N

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The intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).

Understanding the intrinsic catalytic characteristics of nanoscale electro catalysts requires quantification of the active site count and site-specific turnover frequency (TOF).

The understanding of Ni-Fe (oxy)hydroxides' electro catalytic activity and stability is hampered by the lack of efficient methods for measuring the Fe active site number and the intrinsic turnover frequency per active Fe site (TOFFe), despite the fact that Fe has been proposed as one of the most active noble-metal-free electro catalysts for the alkaline oxygen evolution reaction (OER).

The direct in situ quantification of the electrochemically active Fe site number and associated TOFFe values of Ni-Fe (oxy)hydroxides using previously unstudied Fe2+/3+ redox electrochemistry in alkaline solutions is described in this article.

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The distance travelled by the car if had been travelling at a speed of 45 m/s is 180 m.

The distance travelled  by the car is calculated by applying the following kinematic equation as shown below.

v² = u² + 2as

where;

0 =  u² + 2as

-2as =  u²

a = -(u²)/2s

a = - (15²) / (2 x 20)

a = -5.625 m/s²

The distance travelled by the car if had been travelling at a speed of 45 m/s is calculated as;

v² = u² + 2as

0 =  u² + 2as

s = -(u²)/2a

s = -(45²) / (2 x - 5.625)

s = (45²) / (2 x 5.625)

s = 180 m

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The size of a wave is equivalent to half its top to valley distance, which is the solution to the question.

A wave sensor's length, which corresponds to the distance between two identical locations (next crests) in successive cycles, determines whether it is sent through space or via a wire. In wireless systems, this length is often specified in meters (m), centimeters (cm), or millimeter (mm) (mm). The duration can be calculated as the distance between two contiguous wave front peaks or waves propagating compressions. It is often represented in meters. Such waves have a relationship between their energy and wavelength. Waves with a shorter wavelength have had more energy than waves with a longer wavelength of the same intensity.

A = 1/2* distance

A = 1/2* 5.8

A = 2.9m

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The complete question is-

From Peak To Trough A Wave On The Ocean Measures 5.8 M And Has A Wavelength Of 22.5 M. What Is The Amplitude Of The Wave?

If the sun mysteriously gets twice as massive as it is right now, it's pull on Mars will be twice as much.

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Assuming Usain Bolt begins at rest (with zero initial velocity) and his motion is uniformly accelerated, his position at time t is given by

where a denotes the average acceleration and t denotes the time. Because the distance covered in our problem is S=100 m and the time taken is t=9.58 s, the average acceleration can be calculated by rearranging the previous formula:

1175.50 kg m/s

Usain Bolt's weight is 93.89 kg.

The average velocity in a 100-meter sprint is 12.52 metres per second.

The momentum can be calculated by taking the product of mass and velocity and multiplying it by

The following factors provide momentum:kg m/s

where denotes mass and denotes velocity

Thus, Usain Bolt's momentum can be calculated by plugging in the given values for

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The frequency of the waves is 0.48Hz and  their speed is 4.2m/s.

Define frequency.

The number of waves passing a fixed place in a unit of time is known as frequency.

Given ,

Time ,t is 2.1s

Frequency, F =1/t

                   F =1/2.1

                  F =0.48Hz

A periodic wave's wavelength, or the distance over which the wave's shape repeats, is its spatial period. It is the separation between neighboring wave points that correspond to the same phase, such as two adjacent crests, troughs, or zero crossings. It is a property of both traveling waves and standing waves as well as other spatial wave patterns. The spatial frequency is the wavelength's reciprocal. The Greek letter lambda ( λ) is frequently used to denote wavelength.

Speed ,v = λ / T.

            v = 8.8/2.1

            v  =4.2m/s

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