Suppose a satellite were orbiting the Earth just above the surface. What is its centripetalacceleration?

(a) By using the law of conservation of energy, the distance moved by the solid disk along the ramp is 0.96 m.

(b) The answer does not depend on the mass and radius of the disc as these values are canceled when the law of conservation of energy is applied.

What is the law of conservation of energy?

The law of conservation of energy states that the total energy of an isolated system is conserved.

The total initial energy Ei of the disc rolling down an inclined plane is given by the formula,

Ei=1/2*mv^2 + 1/2*Iω^2

where m is the mass of the disc, v is the velocity of the disc, I is the moment of inertia and ω is the angular velocity of the disc.

For a solid disc, I=1/2mr^2, and since it is rolling without slipping, the rolling velocity of the disc will be equal to its translational velocity, that is,

v=ωr or ω=v/r

So using ω=v/r and I=1/2mr^2, it can be written,

Ei=1/2*m(v)^2 + 1/2*(1/2mr^2)(v/r)^2

Ei=1/2*m(v)^2*(1+1/2*)

Ei=3/4*mv^2

If the height covered by the disc is h before stopping, then its final total  energy Ef will be equal to the potential energy, that is,

Ef=m*g*h

From the law of conservation of energy, it can be written,

Ei=Ef

3/4*mv^2=m*g*h

h=3v^2/(4g)

The length of the ramp is then given by the formula,

l=hcosecθ

where θ is the inclination angle. So

l= 3v^2/(4g)*cosecθ

Here g=9.8 m/s^2, v=2.5 m/s  and θ=30.0 degree. Using these values,

l= 3*(2.5 )^2/(4*9.8)*cosec( 30)

l= 0.96 m

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Using the equation, B = (μoIN/2πr)

The inner radius is r = 16.2 cm,

so the field there is

B = (4π 10-7).(0.813).(535)/2π(0.162)

= 5.37 × 10-4 T

The outer radius is r = 16.2 + 5.2 = 21.4 cm.

The field there is B = (4π 10-7).(0.813).(535)/2π(0.214)

= 4.06 × 10-4 T.

A toroid having a square cross-section, 5.20cm on edge and an inner radius of 16.2cm has 535 turns and carries a current of 813mA to calculate the magnetic.

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The height reached by the projectile from the point of projection is determined as 12.84 m.

H = vt + ¹/₂gt²

where;

H = (13.2 x sin37)(1) + (0.5)(9.8)(1)²

H = 12.84 m

Thus, the height reached by the projectile from the point of projection is determined as 12.84 m.

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The deceleration is -8 m/s² and the time taken by the car is 2.5 s.

It is given that,

Speed, v = 8 m/s

Distance, d = 20m

We need to find the time taken by the car and deceleration.

As we know speed is defined as

v = d/t

Plugging in the values,

t =  20/8

t = 2.5s

Now from the deceleration formula,

a =  - v/ t

a is the deceleration, v is the speed and t is the time taken.

a = - 20/ 2.5

a = - 8 m/s²

Thus, the time taken by the car and deceleration is 2.5 s and -8 m/s² respectively.

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The average power needed to produce this final speed is 1069.1 hp.

Mass of the dragster,  m = 500.0 kg,

Displacement travelled by the dragster,  s = 402 m,

Time taken in this travel,  t = 5.0 s,

Final velocity of the dragster,  v = 130 m/s.

Let the initial velocity of the dragster be u and acceleration be a.

Using kinematical equation,  s = ut + (1/2)at^2.

402  =  u*5  + (1/2)*a*5^2

10*u + 25*a  = 804.      ...........(1)

Using kinematical equation, v = u +at.

130 = u + 5*a

5*u + 25*a = 650.       .............(2)

Solving (1)and (2), we get,

u =  30.8 m/s.

According to work-energy theorem,

Work done = change in kinetic energy

W  = (1/2)*m*(v^2 - u^2)

W = (1/2)*500*(130^2 - 30.8^2)

W  =  3987840. J

Therefore power rating of the dragster is given by,

P  ⇒  W/t. =  3987840/5 = 797568 watt.

P  ⇒ 797568/746 =  1069.1 hp.

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The answer is 1069.1 hp.  

Mass of the dragster,  m = 500.0 kg,

Displacement travelled by the dragster,  s = 402 m,

Time taken in this travel,  t = 5.0 s,

Final velocity of the dragster,  v = 130 m/s.

Let the initial velocity of the dragster be u and acceleration be a.

Using kinematical equation,  s = ut + (1/2)at^2.

 402  =  u*5  + (1/2)*a*5^2

 10*u + 25*a  = 804.      ...........(1)

Using kinematical equation, v = u +at^.

 130 = u + 5*a^

5*u + 25*a = 650.       .............(2)

Solving (1)and (2), we get,

u =  30.8 m/s.

According to work -energy theorem,

Work done = change in kinetic energy

 W  = (1/2)*m*(v^2 - u^2)

,  W = (1/2)*500*(130^2 - 30.8^2)

,  W  =  3987840. J

therefore Power rating of the dragster is given by,

P  =  W/t. =  3987840/5 = 797568 watt.

,  P  = 797568/746 =  1069.1 hp.        

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Answer:

Graph b

Explanation:

I used Desmond calculator which is a calculator where you can graph an equation! :)

Hello!

The slope-intercept form is :

y - 2 =  3(x - 1)

y - 2 = 3x - 3

y = 3x - 1

Two points that are found to be on the line :

(0, -1) and (1, 2)

∴ The graph which contains both points is Graph B.

The distance traveled by the box along the ramp is 0.51 m.

Apply the principle of conservation of energy;

Potential energy of the box at top of incline = Elastic potential energy at bottom

mgh = ¹/₂kx²

where;

h = L sinθ

where;

mg(L sinθ) = ¹/₂kx²

(18)(9.8)(L sin25) = ¹/₂(740)(0.32)²

74.55 L = 37.89

L = 37.89 / 74.55

L = 0.51 m

Thus, the distance traveled by the box along the ramp is 0.51 m.

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Answer:

Force makes things move or, more accurately, makes things change their motion. Two natural forces that we have experienced are the force of gravity and magnetic forces magnetic forces. These two forces act at a distance and do not require direct contact between the objects to function..

Answer:

The force of gravitation is 1.98×10^(20) m.

Explanation:

Note: The value of m1, m2, r, and G is taken to be 5.97×10^(24) kg, 7.348×10^(22) kg, 3.84×10^(8) m, and 6.67×10^(-11) N m^2/ kg^2 respectively.

The force of gravitation F acting between two masses is calculated using the formula,

F=Gm1m2/ r^2

where G is the gravitational constant.

Hence force F is

F=6.67×10^(-11)×5.97×10^(24)×7.348×10^(22)/ (3.84×10^(8))^2

F=1.98×10^(20) N

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Runner A is faster than runner B and Runner B has a head start.

The velocity time graph shows us how fast that an object can be. The slope of the graph is the acceleration.

If we look at the graph as shown in the image attached to this answer, we can see that Runner A is faster than runner B and Runner B has a head start.

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Answer:

Runner A is

✔ faster

than runner B.

Runner

✔ B

has a head start.

Explanation:

Hot spot volcanism is responsible for the formation of volcanic island chains in the oceans and is denoted as option D.

This is a rupture in the earth crust thereby giving rise to the release of hot lava, gases etc from below the surface.

The pushing of the lava through the cracks partially melts the plate at a subduction zone thereby forming the volcanic island chains.

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When displacement is 0, an object is at its equilibrium position, at that moment, its speed is maximum and its acceleration is zero.

Speed is a scalar quantity used in physics to indicate the distance of change of an object that travels in any direction.

Conversely, displacement and acceleration are vector quantities because they express magnitudes but not a direction.

In conclusion, when an object is at its equilibrium position its speed is maximum and its acceleration is zero.

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The work done by force on a spring hung from the ceiling will be 1.67 J

Any two things with mass are drawn together by the gravitational pull. We refer to the gravitational force as attractive because it consistently seeks to draw masses together rather than pushing them apart.

Given that a spring is hung from the ceiling with a 2.0-kg mass suspended hung from the spring extends it by 6.0 cm and a downward external force applied to the mass extends the spring an additional 10 cm.

We need to find the work done by the force

Given mass is of 2 kg

So let,

F = 2 kg

x = 0.1 m

Stiffness of spring = k = F/x

k = 20/0.006 = 333 n/m

Now the formula to find the work done by force will be as follow:

Workdone = W = 0.5kx²

W = 0.5 x 333 x 0.1²

W = 1.67 J

Hence the work done by force on a spring hung from the ceiling will be 1.67 J

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The area of △rst is equal to the area of △lmn.

The answer is option B.

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

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The velocity of the golf ball is 65.2 m/s

The principle of conservation of momentum is that the momentum before collision is equal to the momentum after collision.

Given that;

(0.2kg *  55 m/s) + (0.046kg * 0 m/s) = (0.2kg * 40 m/s) + (0.046kg  * v)

11 = 8 + 0.046v

v = 11 - 8/0.046

v = 65.2 m/s

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The frequency is 94.2 Hz

We  are given the energy of a photon = 6.24x10-29 kJ

We  are asked to find the frequency (ν),

We use the equation E = hν where E is energy, h is Planck's constant and ν is the frequency

The quantity of events per unit of time that occur when an event repeats itself at regularly spaced intervals is known as its frequency.

6.24x10-29 kJ = 6.626x10-34 J-sec * ν

ν = 6.24x10-29 kJ x 1000 J/kJ  / 6.626x10-34 Jsec

ν = 6.24x10-26 J / 6.626x10-34 Jsec

ν = 0.942x108 s-1 = 9.42x107 s-1 = 9.42x107 Hz

9.42x107 Hz x 1 MHz/106 Hz = 94.2 MHz

Hence the frequency is 94.2MHz

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= F.d

F = 1.2 x 10-3N

d= (2-1.6)10-2=0.004m

W=1.210-3(0.004)=4.8 x 10 -6 J

A typical muscle fiber is 2.0 cm long and has a cross-section area of 3.1 * 10-9 m2. When the muscle fiber is stimulated, it pulls with a force of 1.2 mN.

Please check the attached file for a brief answer.

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The work done by the muscle fiber is 4.80x 10 J

The work done by the muscle fiber as it contracts to a length is

W = FAL

= (1.20x103 N) (0.4x10-2 m)

= 4.80x 10 J

Muscle tissues contain something known as muscle fibers. Muscle fibers consist of a single muscle cellular.

They assist to control the physical forces in the body. When grouped collectively, they are able to facilitate organized movement of your limbs and tissues.

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Hi there!

The period of an orbit can be found by:

[tex]T = \frac{2\pi r}{v}[/tex]

T = Period (? s)
r = radius of orbit (6400000 m)

v = speed of the satellite (8000 m/s)

This is the same as the distance = vt equation. The total distance traveled by the satellite is the circumference of its circular orbit.

Let's plug in what we know and solve.

[tex]T = \frac{2\pi (6400000)}{8000} = \boxed{5026.55 s}[/tex]

Spring constant k = 75 N/m

Hooke's law for this spring F(x) = 75x

Work = 1.5 J

                                          [tex]$W=\int_{a}^{b} F(x) d x$[/tex]

According to Hooke's law, the spring must be held stretched at x=0.2m by a force of 15N.

F (0.2) = k (0.2 m) = 15 N

Solve for k

k = 75 N/m

Hence, Hooke's law is F(x) = 75x

The spring is compressed from x = 0 to X = 0.2,

[tex]$W=\int_{0}^{0.2} 75 x d x=\left.\left(\frac{75 x^{2}}{2}\right)\right|_{0} ^{0.2}$[/tex]

W = 1.5 J

So, the work is required to compress the spring 0.2 m from its equilibrium position W = 1.5 J

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0.32 km

How to reach the answer:

The formula below provides the tsunami's speed in response to the query.

s = 356√d

when the tsunami's speed is 200 km/h, the equation's "s" is changed to "200," and the equation of speed is then expressed as follows.

200 = 356√d

The equation can be changed to compute the depth of the water as,

√d = 200÷356

√d = 0.562

Now on squaring both sides:

(√d)² = (0.562)²

d = (0.562)² = 0.316 or 0.32

Therefore the approximate depth of water for a tsunami travelling at 200km/h is 0.32 km

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​

Answer:

We feel cold when tap or well water in winter because heat flows from hot body to cold body.

Explanation:

Our body is in optimal status is a hot body and tap or well water is a cold body. Therefore we feel cold.

When we drink tap or well water in the winter, we feel chilled because heat transfers from a hot body to a cold body.

Convection, often known as a heat transfer mechanism, is a method of moving heat. When a fluid, such as air or water, is moving, this heat transfer takes place. Temperature differences within the fluid cause convection.

Due to the increased kinetic energy of the particles, a fluid loses density at the area nearest to the heat source as it is heated. The less dense portion of the fluid then rises, while the denser portion sinks.

The process keeps happening because the less dense fluids sink as they move away from their heat source while the denser fluids rise as they move toward the heat source. Convection currents are produced by this.

Therefore, When we drink tap or well water in the winter, we feel chilled because heat transfers from a hot body to a cold body.

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An object which starts from its resting place & accelerates at a speed of 4 rad/sec², the angular displacement is 8 rad.

An object's angular displacement is described in the following:

Angle displacement is equal to θ[tex]f[/tex]-θ[tex]i[/tex].

The following methodology must also be applied to determine angular displacement when the object's acceleration, starting velocity, and time are known:

θ=ωt+ 1/2αt²

[where θ= the angular displacement of an object,

ω= initial angular velocity,

α= angular acceleration,

t= time]

In this case, the object starts from the rest position.

So, the initial angular speed, ω= 0 rad/sec

Provided angular acceleration ,α = 4 rad/sec²

Time ,t= 4 sec

So, θ= [tex]0*4+ (1/2)*4*4[/tex]

⇒θ= 0+ 8

⇒θ= 8 rad

Therefore, it is concluded that the angular displacement is 8 rad.

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Lamps 1 and 2 are connected in series. lamp 1 stops working because the circuit is not complete.

In a series circuit, the amount of current flowing through any component is the same and the sum of the individual resistances equals the overall resistance of any series circuit.

The voltage in a series circuit is equal to the total of the individual voltage drops.

For the bulb to glow the circuit should be complete. If the circuit is not completed the bulb will not glow.

Lamps 1 and 2 are connected in series. lamp 1 stops working because the circuit is not complete.

Hence, lamp 1 stops working.

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(a) The force is the spring exerting on the dart is 0.7 N.

(b) The elastic potential energy stored in the spring is 7 x 10⁻³J.

(c) The kinetic energy of the dart when it reaches the natural length of the spring is 7 x 10⁻³J.

(d) The speed of the dart when it reaches the natural length of the spring is 2.65 m/s.

F = kx

where;

F = 35 N/m x 0.02 m

F = 0.7 N

U = ¹/₂kx²

U = ¹/₂(35)(0.02)²

U = 7 x 10⁻³ J

The elastic potential energy of the spring will be converted into kinetic energy of the dart, with a magnitude of  7 x 10⁻³ J when it reaches natural length of the spring.

K.E = ¹/₂mv²

v² = (2K.E)/m

where;

v² = (2 x 7 x 10⁻³)/(0.002)

v² = 7

v = 2.65 m/s

Thus, the force is the spring exerting on the dart is 0.7 N.

The elastic potential energy stored in the spring is 7 x 10⁻³J.

The kinetic energy of the dart when it reaches the natural length of the spring is 7 x 10⁻³J.

The speed of the dart when it reaches the natural length of the spring is 2.65 m/s.

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Answer:

103 torr

Explanation:

The remainder is due to the helium

771 - 222 - 446  = 103 torr due to helium

Considering the definition of potential energy, the potential energy of the box is 42.9678 J.

Potential energy is the energy that measures the ability of a system to do work based on its position. In other words, this is the energy that a body located at a certain height above the ground has.

Gravitational potential energy is the energy associated with the gravitational force. This will depend on the relative height of an object to some reference point, the mass, and the strength of gravity.

So for an object with mass m, at height h, the expression applied to the gravitational energy of the object is:

Ep= m×g×h

Where:

In this case, you know:

Replacing in the definition of potential energy:

Ep= 7.3 kg × 9.81 m/s² × 0.60 m

Solving:

Ep= 42.9678 J

Finally, the potential energy of the box is 42.9678 J.

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The rms current in the primary coil of a transformer is 0.5 Ampere .

Energy/power is not gained or lost going through an ideal transformer.

Consequently, the transformer in this situation doesn't really matter. The entire device receives 60 watts of power from the wall outlet if the lamp consumes energy at a rate of 60 watts.

∴ Power = (voltage) x (current)

60 watts = (120 v) x (current)

Current = (60 watts) / (120 v)

Current = 0.5 Ampere

Therefore, the rms current in the primary coil of a transformer is 0.5 ampere.

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A mass m is placed on an inclined plane (m > 0) and slides down the plane with constant speed. If a similar block (same m) of mass 2m were placed on the same incline, it would

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The maximum grade (in percent) is 14%.

Suppose angle be theta.

Power = force * velocity

35*746 = [1300*9.8* sin theta + 410]* (43*1000/3600)

sin theta = (35*746/(43*1000/3600) - 410)/(1300*9.8) = 0.139

grade = tan ( arcsin 0.139 )

= 0.140

= 14%

Drag is a mechanical pressure. it is generated via the interplay and speaks to a stable body with a fluid (liquid or fuel). It is not generated via a force area, within the feel of a gravitational field, or an electromagnetic field, wherein one item can have an effect on some other item without being in physical touch.

For instance drag on a ship moving in water or drag on an aircraft shifting in the air. therefore drag pressure is the resistance pressure resulting from the motion of a body thru a fluid like water or air. This drag force acts opposite to the path of the oncoming float velocity.

Drag is generated via the distinction in speed between the strong item and the fluid. There needs to be motion among the object and the fluid. If there's no movement, there's no drag. It makes no difference whether or not the item moves via a static fluid or whether or not the fluid movements beyond a static stable item.

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The maximum grade (in percent) is 14%.

Suppose angle be theta.

Power = force * velocity

35*746 = [1300*9.8* sin theta + 410]* (43*1000/3600)

sin theta = (35*746/(43*1000/3600) - 410)/(1300*9.8) = 0.139

grade = tan ( arcsin 0.139 )

= 0.140

= 14%

Drag is a mechanical pressure. it is generated via the interplay and speaks to a stable body with a fluid (liquid or fuel). It is not generated via a force area, within the feel of a gravitational field, or an electromagnetic field, wherein one item can have an effect on some other item without being in physical touch.

For instance drag on a ship moving in water or drag on an aircraft shifting in the air. Therefore drag pressure is the resistance pressure resulting from the motion of a body thru a fluid like water or air. This drag force acts opposite to the path of the oncoming float velocity.

Drag is generated via the distinction in speed between the strong item and the fluid. There needs to be a move between the object and the fluid. If there's no movement, there's no drag. It makes no difference whether or not the item moves via a static fluid or whether or not the fluid moves beyond a static stable item.

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