a rock is tossed straight up from a height of 1.20 m above the ground with an initial speed of 7.54 m/s. how many seconds later does the rock hit the ground?

The bomb must be released 3375 m before the target when dropped from the height of 2500.0 m

An equation of motion is an equation that describes the behavior of a physical system in terms of motion as a function of time. More specifically, the equations of motion describe the behavior of a physical system as a set of mathematical functions related to dynamic variables.

Following are the equations of motion:

v = u + at

s = ut + 1/2 at²

v² = u² + 2as

Before calculating the horizontal distance let's calculate the time taken by the bomb to reach the ground by using following equation:

s = ut + 1/2 gt²

u = initial velocity in the vertical direction (0)

s = vertical displacement from the ground (−2500.0 m)

g =  acceleration due to gravity (-9.8 m/s²)

Now substitute the the value in the above reaction:

-2500 = 0 × t +  1/2 × -9.8 t²

-2500 = -4.9 t²

t = 22.5 s

Now the distance covered by the bomb in horizontal direction by the time it reaches the ground is:

D = v × t

Where, D = distance covered by bomb horizontally

v = velocity of bomber (150 m/s )

t = time taken to reach the ground (22.5 s)

D = 150 × 22.5

D = 3375 m

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The net force on the airplane is 420 N.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. Newton is the SI unit of force.

Given parameters:

Force of the airplane, F = 800 N.

Force of air resistance, f₁ = 40 N.

Wind force, f₂ =  60 N.

Net force = ?

According to the question, wind force and force of air resistance are acting opposite direction. As, force of air resistance always acting opposite to the direction of plane flying, wind force is acting along the direction of plane flying.

Hence, net force = F - f₁  + f₂

= ( 800 -40 + 60) N.

= 820 N.

So, net force acting on the plane is 820 N.

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Answer: It is zero

Explanation: Without kinetic energy a plate cannot move. It is impossible.

12.5kg is the mass that would result in critical damping.

The ability of a damper to resist motion is shown by its damping coefficient, which measures the effectiveness of the damper. where c is the damping coefficient and is expressed in newton seconds per meter.

The damping coefficient is a term that has the formula where is a constant. This damping is equivalent to the kind of motion resistance and energy loss experienced when a piston with perforations is moved through a cylinder filled with a viscous fluid, like oil.

Force F = Kx

K = F/x

K = 3/1.5

K = 2N/m.

c² - 4mk = 0

m = c²/4k

m = 10²/4×2

m = 100/8

m = 12.5kg.

12.5kg is the mass that would result in critical damping.
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For a solar mass star, the red-giant phase normally lasts just around a billion years overall, with practically all of that time being spent on the red-giant branch.

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4.80m is the far of the recipients must goods dropped.

The speed of an object is the rate at which it moves through space. A slow-moving object travels a relatively short distance in a given amount of time, whereas a fast-moving object travels a long distance in a short amount of time.

A)Since we are aware that the plane's vertical speed is zero

In this instance, the mass is dropped with no beginning speed.

thus, we will

y=1/2gt²

235=1/2(9.81)t²

t=6.92s

Consequently, it is given as the horizontal distance it moved.

d=vt

d=(69.4)(6.92)

d=480.4m

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Electrons that are located in the outermost orbit in the Bohr model of a boron atom will be 3.

A nucleus with six neutrons and five protons makes up the Bohr model of boron. The K-shell and L-shell electron shells around the nucleus The valence electrons, which make up three of the electrons in the outermost shell of the Bohr diagram, are also present. The orbits of the electrons around the small nucleus are described by the Bohr model of boron.

It utilizes a number of different electron shells, including K, L, M, and N. The number of electrons that each shell can hold varies, with the shell closest to the nucleus having the least energy. The energy levels increase as the shell recedes more. According to the Bohr model, the electrons in an atom may be seen to orbit the nucleus in a variety of orbits with differing energies.

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When the amplitude varies, it means twice as much.

Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.

Given:

if the string is given four times as much power.

According to the power that a sinusoidal wave on a stretched string transmits,

P =[tex]\frac{1}{2}[/tex] μω^A^2v

Where  μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.

P ∝[tex]A^{2}[/tex]

Here, the only terms we need are power and amplitude.

A =K[tex]\sqrt{P}[/tex]

Where K is constant

Here, "power become quadruple" refers to four,

A = [tex]\sqrt{4P}[/tex]

A =2 [tex]\sqrt{P}[/tex]

Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.

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The quarterback is located 0.3v above ground. The fundamental element of every projectile's body that is moving is its horizontal velocity (vx).

The fundamental element of every projectile's body that is moving is its horizontal velocity (vx). In any projectile motion, it is typically utilized to know the velocity value at which the particle travels along the horizontal direction. It's even thought of as the body's starting point for movement.

Let's say the projectile-moving particle reaches the highest point of its horizontal path. In that case, the horizontal velocity will typically be zero since the force of gravity will cause it to fall vertically downward as soon as it reaches the peak point. Vertical velocity has no impact on this horizontal velocity when it is at its highest point.

Let the horizontal velocity of the object = v

X = vt

X = 0.3v

Thus, The quarterback is located 0.3v above ground.

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The velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.

We have to go from antinode to antinode. In an air column, the spacing between resonance is wavelength /2 as we have to go from antinode to antinode.

wavelength = 220 cm = 2.2m

As we know the velocity formula

Then Velocity = f * λ

Where f is the frequency and λ is the wavelength.

So Velocity of wave = 440 * 2.2 = 968m/s

Hence, the velocity of sound in helium gas is 968 m/s if the spacing between resonances is 110cm.

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If these resistors are connected in parallel across the terminals of the same battery, the power delivered by the battery is 80 W

Write the expression for the total power delivered by the battery in

parallel,Pp = 2P1

Here, Po is the total power delivered by the battery in parallel.

Pp = 2 [(ΔV)²/R]

= 4 [(ΔV)²/2R]

= 4Ps

Pp =4(20)

   P =80 W

Electrical resistance is implemented as a circuit element by resistors, which are passive two-terminal electrical components. Resistors are devices that are used in electronic circuits for a variety of purposes, including lowering current flow, adjusting signal levels, dividing voltages, biasing active components, and terminating transmission lines. Electrical resistance is provided by a resistor, a two-terminal electrical component. Resistors are mainly used to split voltages, block transmission signals, reduce current flow, and bias active components in electronic circuits.

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5,000 Megawatt hour, amount of energy is produced by the power plant , which operates at steady power of 100 Megawatt.

Power is defined as rate of doing work or it is the work done per unit of time .

mathematically, P = W/t

where, P--> power in watt

W ---> work done by body in joule and t-----> time taken to do work in sec

but as we know Energy is defined as capacity to do work . Then it is same as work done. The S.I units of energy is joule.

So, power in form of energy is defined as amount of energy transferred per unit of time.

mathematically, P = E/t

We have , power of plant (P) = 100 megawatt

time (t) = 50 hours

put in above formula we get, 100 MW

= energy/ 50 hours

Energy = power × time = 100MW × 50 hours

= 5000 Megawatt hours

So, energy produced by the power plant of 100 ME is 5,000 Meagawatt hour.

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7 bright fringes lie between the first and second minima of the diffraction envelope.

Diffraction is defined because of the interference or bending of waves around the corners of an obstacle or via an aperture into the vicinity of the geometrical shadow of the impediment/aperture. The diffracting object or aperture correctly becomes a secondary source of the propagating wave.

Refraction is the alternate in direction of waves that takes place whilst waves journey from one medium to another. Refraction is always accompanied by means of a wavelength and speed alternate. Diffraction is the bending of waves around barriers and openings. the amount of diffraction increases with increasing wavelength.

Calculation:-

Here d = 15 a/2(since there are 15 bright fringes ).

Then for the first minimum which occurs at an angle1

then a sin? 1 =? (m=1)

For the second minimum which occurs at an angle= of 2

then a sin?2 = 2? (m=2)

then we calculate the values of m for which

1 < ?< ?2 for sin?1 < sin?< sin?2 ? < 2m?/15 <2?

that is 1<2m/15 <2

Hence, there are 7 bright fringes.

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3.74 m/s is  the speed of the cart of mass 2.0 kg and the string gives a centripetal force of 40. N.

The force that creates centripetal acceleration is known as centripetal force. All objects in uniform circular motion accelerate toward the center of the circle, and as a result, they must likewise experience a force from the center. The centripetal force is that force.

Briefing :

Given ,The mass of the cart, m = 2 kg,

The standard equation would be F = ma , where a is acceleration, f is force, and m is mass. However, the breaking strength of the string is 40 N.

a   =    [tex]\frac{v^{2} }{r}[/tex]

F   =   ma

F   =   [tex]\frac{mv^{2} }{r}[/tex]

40 =   [tex]\frac{2v^{2} }{0.70}[/tex]

[tex]v^{2}[/tex]  =   14

v   =  [tex]\sqrt{14}[/tex]

v  =  3.74 m/s

Therefore , the speed of the cart is 3.74 m/s .

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The acceleration is if the force is halved and the item's mass is doubled is 2.5 m/s².

Force is a push or pulls upon an item due to the item's interaction with a few different item. strain is a energy that could change the motion of an item. A force can purpose an object with mass to exchange its velocity, i.e., to boost up. stress also may be defined intuitively as a push or a pull. A force has each significance and route, making it a vector amount.

In the first case,

Let the mass of the object is = m

acceleration = 10 m/s²

The constant force F = ma

                             F = 10m   ---------(1)

New case 2,

force F' = F/2

mass M' = 2m

a = F'/M'

  = F/2 × 2m

a = F/4m

F = 4ma ----------(2)

dividing equations 1 and 2

   ⇒  [tex]\frac{F = 4ma}{F = 10m}[/tex]

a = 10/4

a = 2.5 m/s²

The phrase 'force' has a unique which means. At this degree, it's far truely appropriate to describe a pressure as a push or a pull. A force isn't always something that an item consists of or 'has in it. A pressure is exerted on one object thru another. The idea of a force is not confined to living matters or non-dwelling matters.

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1.514 x 10⁴ N-m is the torque required to accelerate it.

Torque is the force that acts on the body causing it to turn about an axis.

It's given by

τ = I α ------- equation 1

Here I = moment of inertia of the disk

α  = angular acceleration of the disk

For disk, moment of inertia = ½ m r²

I = 1/2 x (31 x 10³ kg) x (7)²

= 1/2 x (1514 x 10³)

α = ω₂₋ω₁ / t

here ω = angular velocity of the rotating merry-go-round

Substituting the values

α = ( 0.68rad/s - 0rad/s ) / 34s => 0.02 rad/s²

Putting the values of I and α in equation 1

τ = 1/2 x (1514 x 10³) x 0.02

=> 1.514 x 10⁴ N-m

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The wavelength of ultraviolet radiation that has an energy of 1.99*10^-20 kj/photon  is 3.00 x 1016 sec-1.

Frequency = speed of light divided by wavelength

wavelength times the speed of light to calculate frequency.

F = c/ = (1.00 x 10^-8 m) / (3.00 x 108 m/s) = 3.00 x 1016 sec-1

When calculating light energy, we require the following two equations:

E = hv, where h = Planck's constant (see below), v = frequency in Hz, and E = energy of a photon of light.

c =, where = wavelength in m, = frequency in Hz, and c = speed of light (3x108 m/sec).

When these two equations are rearranged, we obtain

We will apply the equation E = hc/ to resolve the current issue.

h = 6.626 x 10 – 34 Jsec

c = 3 x 10 ^8 m/s

λ = 1.00 * 10^^7 m

E = (1.00x10-8 m)/(6.626x10-34 Jsec)(3x108 m/sec)

E = 1.99x10-20 kJ/photon x 1 kJ/103 J, or 1.99x10-20 J/photon per photon.

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The number of hours that the TV was on is four hours.

We know that is possible to calculate the cost of electricity and this is done when we convert the electricity to  the billing unit that we call the kilowatt hour.

Now we know that;

Power rating of the TV = 200 watt or 0.2 KW

The amount of electricity that was used by the TV in a day = 0.8 KWh

We can now find the number of hours from the relation;

Power rating * time = Energy used

0.2 * t = 0.8

t = 0.8/0.2

t = 4 hours

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The electric field should be applied is 3,694.5 .

As we know from electromagnetic theory we have a relation with electric field and magnetic field with force, which is

F = qE + qv x B

or we can write that

F = qE + qvBsinФ

To allow proton to move with the constant speed, we need to apply zero external force

It means F = 0

or we can write that

qE = -qvBsinФ

putting the appropriate values, we get

E = 4105 x 0.9

E = 3,694.5

Hence the magnitude of the electric field is 3,694.5 .

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Time taken by the weight to hit the ground is 2.2 seconds when pilot does a run at the same height but twice the speed.

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Using the concepts of moment of inertia, we got that moment of inertia increases by 4  times for all round object (sphere, disk, hoop for example) on doubling only the radius.

We know very well that, moment of inertia of the following object are

where m is the mass of the object and r is the radius of the object.

We see that moment of inertia is directly proportional to the radius of the object.

It means when we double the radius, then moment of inertia increases by 4 times of its previous value.

Hence, a round object (sphere, disk, hoop for example), doubling only the radius of the object changes its moment inertia by a factor of 4 times.

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The angular acceleration of the body &  through certain angle is 0.87266 rad/sec² and 12566.8rad respectively.

Given -angular velocity of a rotating rigid body increases from 500 to 1500 rev/min .

Time= 120s

To find - Angular acceleration and angle

Principle : We have to convert rev/min to rad/sec .

ωf= ωi + αt

ωf- ωi = αt

α= [ ωf- ωi ]/ t⇒angular acceleration formula

ΔФ=ωi t + αt²/2⇒ angle deviation formula

Calculations-

Conversion of Rev/Min to rad/Sec -

ωi= 500 rev/min

= 500 x 2π rad/rev x 1min/60sec = 52.3598 rad/sec

ωf= 1500 rev/min

=1500 x 2π rad/rev x 1min/60sec = 157.079rad/sec

ωi=52.3598 rad/sec

ωf=157.079rad/sec

Now , to compute angular acceleration- α= [ ωf- ωi ]/ t

= [157.079rad/sec- 52.3598 rad/sec]/120

α=0.87266 rad/sec²

Now to compute angle deviated -ΔФ=ωi t + αt²/2

=52.3598 x 120 + [0.87266 x 120 x120]/2

ΔФ= 12566.8rad

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If a ball is tossed horizontal at a speed of 7.9 m/s, it will travel 4.8 meters (horizontally).

Teenagers, young adults, and others take various stimulant medications collectively referred to as "speed" to feel more focused and alert, as well as occasionally to get high. Additionally, some people take various forms or speed to suppress their appetite.

Relativistic speed is the rate at which relativity effects matter for the desired level of measurement precision of the phenomenon being examined. Relativistic effects are the differences between values calculated using models that take relativity into account and those that do not.

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A star's mass determines where it lies along the main sequence. On the main sequence, high-mass stars are hotter and emit more energy than low-mass stars.

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. The more mass a body has, the less of a change an applied force makes.

Mass is a unit used to describe how much matter is present in an object. Usually, the unit of mass is either kilogrammes (kg) or grammes (g) (kg). Mass is a measure of how much matter there is, regardless of where it is in the cosmos or how much gravitational force is being applied to it.

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To find about the suspended, learn suspended and suspended particles.

What is suspension?

A heterogeneous mixture called a suspension is one in which the solid components are dispersed throughout the liquid without actually dissolving in it. A homogeneous mixture of particles with a diameter greater than 1000 nm and that are visible to the unaided eye is referred to as a suspension.

What is suspended particle?

Finely divided solids or liquids, known as suspended particulate matter (SPM), may be released into the atmosphere as a result of industrial processes, natural processes, or human activity.

Xcm= mini/mi

⇒ (259)(41.3)+(193)(75.5)+(207)(90.3)/259+193+207

⇒10696.7+14571.15+18692.1/659

⇒Xcm=66.707 cm

Therefore, the suspended balance is 66.707 cm.

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Distance x force equals work done. When this occurs, the amount of work done is measured in joules (J), the amount of force is recorded in newtons (N), and the distance travelled along the force's path is measured in meters (m).

The SI unit of labor is called a joule (J).

The following questions have the following answers:

1) In the picture below, F1 acts downward and F2 acts upward.

2) Moments on the LHS equal F1d1 and on the RHS, F2d2.

Moment in LHS= RHS F1d1= F2d2 F1= (20Kg 10)/200 N Consequently, 200 N0.8= F20.95 160= 0.95 F2 = 168.42 N

The net force has a magnitude of 168.42 N and is directed upward.

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The consumption to operate the heater for 15 days is $2.25

Electricity consumption refers to all of the electricity used to perform a movement, manufacture something, or definitely inhabit a construction. here are some examples: In a manufacturing unit, overall electricity consumption can be measured with aid of looking at how lots power a manufacturing technique consumes, for instance, via making car elements.

The full-strength intake consists of that of coal, crude oil and their products, natural gasoline, and electricity, but, it excludes the intake of gas of low calorific fee, bio-strength, and solar energy.

Calculation:-

Voltage (V) = 200 V

Current (I) = 25 A

Power (P) = VI = 200 * 25 = 5,000 W

Now, the calculation of the energy consumption for 15 days in KW/h

We will convert W to kW,

1000 W = 1kW

Therefore,

5,000 W = 5000 W × 1 KW / 1000 W = 5kW

The daily energy consumption will be calculated. This is attainable as follows,

P = 5kW

Time(t) = 10 h

Energy (E) = P/t = 5/10 = 0.5 kW/h per day.

Finally, we will calculate the energy usage for the next 30 days. This is attainable as follows:

1 day = 0.5 kW

Cost of one day = 0.5 * 0.30 = $ 0.15

Now, the cost to operate the heater for 15 days = $ 15 * 0.15 = $2.25

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Answer:

Speed = frequency * wavelength

150m/s = 10Hz* wavelength

10Hz. 10Hz

Wavelength = 15m

Her speed be at 490 m will be 226 m/s

Calculation

a) initial height, [tex]h_{i}[/tex] = 3100 m

[tex]h_{f}[/tex] = 490 m

time taken, t

Using the second equation is motion

3100–490 = 0.5 × 9.8 ×[tex]t^{2}[/tex]

solving for t

t = 23.07 s

b) let the speed is u

u =[tex]\sqrt{2*g*(h_{i} -h_{f} )}[/tex]

u = [tex]\sqrt{(2*9.8 * (3100-490))}[/tex]

u = 226 m/s

Hence, her speed is 226 m/s

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Her speed be at 490 m will be 226 m/s.

initial height,[tex]h_i[/tex]  = 3100 m

[tex]h_f[/tex] = 490 m

time taken, t

Using the second equation is motion

3100–490 = 0.5 × 9.8 ×

solving for t

t = 23.07 s

b) let the speed is u

[tex]&\mathrm{u}=\sqrt{2 * g *\left(h_i-h_f\right)} \\[/tex]

[tex]&\mathrm{u}=\sqrt{(2 * 9.8 *(3100-490))}[/tex]

u = 226 m/s

Hence, her speed is 226 m/s

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