what is the pressure of the gas inside the apparatus on teh right if the outside pressure P atm = 750mmHg

Answer:

a) 500 N

b) 250 J

c) 0.87 m

d) 1.58 m/s, at 0.6 m from the wall

Explanation:

The mass of the object m = 100 kg

the spring constant k = 1000 N/m

length of the the spring = 1 m

extension of the string = 50 cm = 0.5 m

a) Force used to pull the mass is gotten from Hooke's law equation

F = -kx

where F is the force used to pull = ?

k is the spring constant = 1000 N/m

x is the extension = 0.5 m

substituting, we have

F = 1000 x 0.5 = 500 N  this force is used to pull the mass

b) The work done in moving the mass = Fx

==> 500 x 0.5 = 250 J

c) The energy stored up in the spring U = [tex]\frac{1}{2}kx^{2}[/tex]

U = [tex]\frac{1}{2}*1000*0.5^{2}[/tex] = 125 J

energy available for the mass from its equilibrium position = 250 - 125 = 125 J

this energy is equivalent to the work done by the spring on the mass by moving it closer to the wall

Work W = (weigh of the mass) x distance moved

weight = mg

where m is the mass = 100 kg

g is acceleration due to gravity = 9.81 m/s^2

substituting, we have

W = mgd

where d is the distance the mass moves closer to the wall

W = 100 x 9.81 x d

but W = 125 J

125 = 981d

d = 125/981 = 0.13 m

closeness to the wall = L - d

where L is the natural length of the spring = 1 m

closeness to the wall = 1 - 0.13 = 0.87 m

d) The maximum kinetic energy of the object  will be halfway between the extended length and the final resting place.

extended length = 1 + 0.5 m = 1.5 m

distance from resting place = 1.5 - 0.87 = 0.63 m from the wall

At this point, all the mechanical energy on the mass and spring system is converted to kinetic energy of motion.

KE = [tex]\frac{1}{2}mv^{2}[/tex]

substituting,

125 = [tex]\frac{1}{2}*100*v^{2}[/tex] = [tex]50v^{2}[/tex]

[tex]v^{2}[/tex] = 125/50 = 2.5

v = [tex]\sqrt{2.5}[/tex] = 1.58 m/s

Answer:

a burning piece of converts Chemical energy into Heat(Thermal) and Light energy

Answer:

The puck moves a vertical height of 2.6 cm before stopping

Explanation:

As the puck is accelerated by the spring, the kinetic energy of the puck equals the elastic potential energy of the spring.

So, 1/2mv² = 1/2kx² where m = mass of puck = 39.2 g = 0.0392 g, v = velocity of puck, k = spring constant = 59 N/m and x = compression of spring = 1.3 cm = 0.013 cm.

Now, since the puck has an initial velocity, v before it slides up the inclined surface, its loss in kinetic energy equals its gain in potential energy before it stops. So

1/2mv² = mgh where h = vertical height puck moves and g = acceleration due to gravity = 9.8 m/s².

Substituting the kinetic energy of the puck for the potential energy of the spring, we have

1/2kx² = mgh

h = kx²/2mg

= 59 N/m × (0.013 m)²/(0.0392 kg × 9.8 m/s²)

= 0.009971 Nm/0.38416 N

= 0.0259 m

= 2.59 cm

≅ 2.6 cm

So the puck moves a vertical height of 2.6 cm before stopping

Answer: The reference frame of a passenger in a seat near the center of the train

Explanation:

the speed of light is the same for the passenger and the bicyclist

then the avents are simultaneous fo the passenger not for the bicyclist

the delay between the two events for the bicyclist is

Δt=Δd/vs

where

Δd= lenght of train

vs=speed of sound

the reference frame of a passenger in a seat near the center of the train

Solution:

The space and time transformations are:

x' = γ(x - vt)

t' = γ(t - vx/c²).

In the primed frame the two events are simultaneous, so that Δt' = 0. Also here Δx' = 30. In the unprimed frame Δx' = 30 = γ(Δx - v Δt).......(*)

We also have Δt' = 0 = γ(Δt - vΔx/c²)→Δx = c²Δt/v......(**)

Substituting (**) in (*): 30 = γ(c²Δt/v - vΔt))→Δt = 30/(c²/v - v) =

30/(2c - 0.5c) = 6.7 x 10^(-8)s

Answer:

11

Explanation:

1. You are going to be rounding down.

2. change the metric ton to kg.

1.000 * 10^3 kg = 1000 kg

1000 / 87 = 11.49 = 11 people

Answer:

Gravitational forces and drag forces

Explanation:

All objects that are above a certain distance above the ground has gravitational force acting on them. A falling body like the iclicker has gravitational force pulling it down with a magnitude proportional to its mass and the acceleration due to gravity. As the iclicker fall, it experiences air resistance due to the drag forces on it from the air molecules around. This drag force acts upwards so as to oppose the motion of the iclicker downwards, and the magnitude is minimal when compared to the gravitational force. The resultant force is therefore downwards

Answer:

Magnitude of the average induced emf = 36.4 mv

Explanation:

Given:

inductance of the coil (L) = 7 mH

Initial current (Ci) = 0.200 A

Final current (Cf) = 1.50 A

Interval = 0.250 s

Find:

Magnitude of the average induced emf

Computation:

E = L(di/dt)

E = 7 [(1.5-0.20) / 0.250]

E = 7[5.2]

Magnitude of the average induced emf = 36.4 mv

Explanation:

The change in velocity is the final velocity minus the initial velocity.

Δv = v − v₀

Δv = 9 m/s − 2 m/s

Δv = 7 m/s

Answer:

F = 580.25 N

Explanation:

It is given that,

A box at rest on a ramp at an incline of 22°

The normal force on the box is 538 N

We need to find the gravitational force on the box.

The force of gravity acting on an object is equal to its weight. So,

F = mg

But here the box is incline at an angle of 22 degrees

It means that mg will resolve in rectangular components such that, normal force is :

[tex]N=mg\cos\theta\\\\mg=F=\dfrac{N}{\cos\theta}\\\\F=\dfrac{538}{\cos22}\\\\F=580.25\ N[/tex]

So, the gravitational force on the box is 580.25 N.

Answer:

yes

Explanation:

An object which moves in a circle is accelerating. Accelerations are caused by an unbalanced or net force. The net force is always in the same direction as the acceleration. For objects moving in circles at constant speed, the net force is directed towards the center of the circle about which the object moves.

Explanation:

We know,

1KN = 1000N

Then, Force(F) = 5*1000N

=5000N

Here,

Power (P)=Work(W)/Time(T)

=Force * distance/ Time (W = F*s)

= 5000*15/75

=1000

So, The power of body or object is 1000Watt.

I hope this will be helpful for you.

Answer:

Explanation:

momentum =mass*speed

p=1500 kg*6 m/s

p=9000 kgm/s

Answer:

It is called Reverse biased

Explanation:

It is reverse bias because the voltage potential side of the battery is connected negative to the donor side or p type material and it is connected positive to the N type material or acceptor side across the diode which increases the diode width of the PN junction.

Answer:

According to the Big Bang Theory, the density and temperature of the Universe is lower now than in the past.

Hope this answer correct :)

The density and the temperature of the universe should be lower as compared to the past.

According to this theory, it description of the way the universe should be started is provided by the astronomers. The temperature of the universe should be very much hot, the universe size should be small also the universe should be super dense. However, the universe size should be expanded and the temperature should be colder according to the time.

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Answer:

-107 m

Explanation:

Sum of forces in the y direction:

∑F = ma

-qE = ma

a = -qE/m

a = -(1.60×10⁻¹⁹ C) (304 N/C) / (9.11×10⁻³¹ kg)

a = -53.4×10¹² m/s²

Given in the y direction:

v₀ = 0 m/s

a = -53.4×10¹² m/s²

t = 2×10⁻⁶ s

Find: Δy

Δy = v₀ t + ½ at²

Δy = (0 m/s) (2×10⁻⁶ s) + ½ (-53.4×10¹² m/s²) (2×10⁻⁶ s)²

Δy = -107 m

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

a

 [tex]\epsilon = 7.57 \ V[/tex]

b

 [tex]\epsilon =0.0757 \ V[/tex]

c

  [tex]\epsilon =0.00699 \ V[/tex]

Explanation:

From the question we are told that  

  The number of turns is  N  =  40  turns  

   The  diameter is  [tex]d = 19 \ cm = 0.19 \ m[/tex]

    The initial  magnetic field is [tex]B_i = 0.40 \ T[/tex]

    The final magnetic field is [tex]B_f = 0 \ T[/tex]  

Generally the cross-sectional area of the coil is mathematically represented as

       [tex]A = \pi \frac{d^2}{4}[/tex]

=>    [tex]A = 3.142 * \frac{0.19^2}{4}[/tex]

=>    [tex]A = 0.0284 \ m^2[/tex]

At [tex]\delta t = 0.60 \ s[/tex]

The  induced emf is  

        [tex]\epsilon = - N * \frac{[B_f - B_i ] * A }{\delta t }[/tex]

=>    [tex]\epsilon = - 40 * \frac{[- 0.40 ] * 0.0284 }{0.06}[/tex]

=>   [tex]\epsilon = 7.57 \ V[/tex]

At [tex]\delta t = 6 \ s[/tex]

The  induced emf is  

        [tex]\epsilon = - N * \frac{[B_f - B_i ] * A }{\delta t }[/tex]

=>    [tex]\epsilon = - 40 * \frac{[- 0.40 ] * 0.0284 }{6}[/tex]

=>   [tex]\epsilon =0.0757 \ V[/tex]

At [tex]\delta t = 65 \ s[/tex]

The  induced emf is  

        [tex]\epsilon = - N * \frac{[B_f - B_i ] * A }{\delta t }[/tex]

=>    [tex]\epsilon = - 40 * \frac{[- 0.40 ] * 0.0284 }{65}[/tex]

=>   [tex]\epsilon =0.00699 \ V[/tex]

Answer:

Explanation:

a )

one rotation per 24 hours

Time period of rotation of the earth T =  time / no of rotation

T = 24 x 60 x 60 s / 1

= 86400 s .

b )

angular velocity = angle of rotation in radian / time

in one rotation , angle made at the centre = 2π radian

= 2 x 3.14 radian

angular velocity ω = 2π / T

= 2 x 3.14 / 86400  radian / s

= 72.68 x 10⁻⁶ radian / s

c )

Relation between linear and angular velocity is as follows

v = ω  x R where R is radius of the earth and v is linear velocity .

linear velocity = 72.68 x 10⁻⁶ x 6.4 x 10⁶ m /s

= 465.152 m /s

=

Answer:

because the colour black absorbs heat which will make you feel much hotter than a white shirt which blocks away heat.

Answer:

C) 0.5 m/s^2

Explanation:

[tex]Mass = 20kg\\Force = 10 N\\Acceleration = ?\\\\Force = Mass \times Acceleration \\\\Acceleration = \frac{Force}{Mass}\\\\ Acceleration = \frac{10}{20}\\ \\Acceleration = 1/2 = 0.5m/s^2[/tex]

Answer:

The net force on the object is zero.

Explanation:

An object is moving with constant non-zero velocity. If velocity is constant, it means that the change in velocity is equal to 0. As a result, acceleration of the object is equal to 0. Net force is the product of mass and acceleration. Hence, the correct option is (d) "The net force on the object is zero".

For a constant non-zero velocity the net force on the object is zero.

Velocity is defined as the change in displacement per change in time of motion.

[tex]v = \frac{\Delta x}{\Delta t}= \frac{x_2 - x_1}{t_2 - t_1}[/tex]

where;

Δx is the change in displacement

Δt is the change in time motion

When the change in the displacement is same for equal time interval, the resulting velocity will be constant but non-zero in magnitude.

Also, when the net force acting on an object is zero, the object will move with a constant velocity.

[tex]\Sigma F_x = 0[/tex]

Thus, for a constant non-zero velocity the net force on the object is zero.

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Answer: 10 miles

Explanation:

5 miles +5 miles= 10 miles (despite the directions)

This is the distance traveled

-------------------------------------

EXTRA STUFF ( you can literally ignore this part)

If you are asked for displacement instead for distance, then it will be 0 miles because you went 5 miles north and 5 miles south, which at the end, you are still at where you originally were.

Hope this helps!! :)

Answer:

Explanation:

The potential energy stored in a stretch spring is given by the expression below

PE = Work = force * distance

So:

[tex]PE = (kx) * x[/tex]

This then simplifies to:

[tex]PE = kx^2[/tex]

where k is the spring constant= 140 N/m

Given that x= 25 m

Substituting our data into the expression for P.E stored we have

[tex]PE = 140*25^2\\\\PE= 140*625\\\\PE= 87500 J[/tex]

Hence the energy stored in the spring is 87.5kJ

Answer:

916.9C

Explanation:

Using Q= It

Q= 0.54A x 1698s

= 916.9C

The charge delivered by a current with an average of 0.54 A over 28.3 minutes is 916.9C.

Electric charge is defined as the physical property of matter that causes that matter to experience a force when placed in an electromagnetic field that may be positive or negative such that charges repel each other and unlike charges attract each other. An object with the absence of net charge is said to be neutral.

The SI unit of electric charge is the coulomb which is a derived SI unit and is represented by the symbol C.

Electric Charge is represented as

Q= It

where, Q= Electric charge

I= Electric current

t= time

Q= 0.54A x 1698s

= 916.9C

Thus, the charge delivered by a current with an average of 0.54 A over 28.3 minutes is 916.9C.

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Answer:

s the charge is positive, the electric field lines leave it at the point a d = 0.034 cm, the electric field lines go to the right.

Explanation:

The electric field around the cagases oisitvi, field leaving this means that the field lines move away from

If the charge is negative the lines of the field are directed towards the charge

Let's apply this to our case, as the charge is positive, the electric field lines leave it at the point a d = 0.034 cm, the electric field lines go to the right.

Answer:

Pressure, [tex]P=1.84\times 10^7\ Pa[/tex]

Explanation:

Given that,

Force with which pickaxe strikes is 3600 N

The end of the pickaxe measure 15mm by 13mm.

We need to find the pressure exerted on the pipe by the pickaxe. Pressure exerted is equal to the force acting per unit area. So,

[tex]P=\dfrac{F}{A}[/tex]

A = 15 mm × 13 mm = 195 mm² = 0.000195 m²

So,

[tex]P=\dfrac{3600\ N}{0.000195\ m^2}\\\\P=18461538.46\ Pa\\\\\text{or}\\\\P=1.84\times 10^7\ Pa[/tex]

Answer:

C - higher volume

Explanation:

The pitch or frequency of sound that an object can produce depends upon its size and configuration . The shape of hand of all are same so the frequency of sound produced by hands of all will be almost same . Hence frequency of sound produced by the hands of Anand and Kumar would have been almost the same .

But the intensity of sound produced by them would have been different . Intensity represents energy a sound carries . Hard hitting clap will produce sound of higher intensity . Intensity of sound is also called high volume sound . So Kumar's clap will carry greater energy and hence greater volume of sound .

Answer:

Sexual harassment.

Explanation:

It is illegal to harass an individual on account of the sex of that person. sexual harassment includes inappropriate sexual advances, sexual favor demands, and other physical or verbal sexual misconduct. Nevertheless, harassment should necessarily not be of a sexual nature and may make derogatory comments about a person's sex. As per the question, it is unlawful to harass Maria by making offensive remarks and comments.

Answer:

and the forces acting on the particle as a function of time.

Explanation:

The principle of linear impulse and momentum is obtained by integrating the equation of motion with respect to time. hope this helps you :)

The linear impulse and momentum equation is obtained by integrating the force acting on the object with respect to time.

The Linear Impulse is defined as the momentum exerted by a force during a time interval.

The linear impulse and momentum equation is obtained by integrating the force with respect to time.

From the equation of the impulse-momentum theorem:

∆p = J

where,

∆p is the change in momentum of the object,

J is the impulse applied to it.

The impulse is defined as the product of force and the time over which the force is applied.

Thus, we can write the impulse as:

J = ∫ F dt

where,

F is the force acting on the object,

dt is the time interval during which the force acts.

By substituting this expression for J in the momentum equation,

we get:

∆p = ∫ F dt

which is the linear impulse-momentum equation.

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Answer:

(a) The magnetic energy density in the field is 6.366 J/m³

(b) The energy stored in the magnetic field within the solenoid is 5 kJ

Explanation:

magnitude of magnetic field inside solenoid, B = 4 T

inner diameter of solenoid, d = 6.2 cm

inner radius of the solenoid, r = 3.1 cm = 0.031 m

length of solenoid, L = 26 cm = 0.26 m

(a) The magnetic energy density in the field is given by;

[tex]u _B = \frac{B^2}{2\mu_o} \\\\u _B = \frac{(4)^2}{2(4\pi*10^{-7})}\\\\u_B = 6.366*10^6 \ J/m^3[/tex]

(b) The energy stored in the magnetic field within the solenoid

[tex]U_B = u_B V\\\\U_B = u_B AL[/tex]

[tex]U_B = u_B(A)(L)\\\\U_B = 6.366*10^6(\pi * 0.031^2)(0.26) \\\\U_B = 4997.69 J\\\\U_B = 5 \ KJ\\[/tex]