Solve the equation 30=10x for x.

Answer:

Angular size in arc-minutes = 17.4 arc-minutes

Explanation:

Given:

Angular size = 0.29

Find:

Angular size in arc-minutes

Computation:

1 degree = 60 arc-minutes

So,

0.29 degree = 60 × 0.29 arc-minutes

0.29 degree = 17.4 arc-minutes

Angular size in arc-minutes = 17.4 arc-minutes

Answer:

The diameter of the hole increases

Explanation:

Metals expand and contract with temperature. Whenever metal is heated, it usually expands in relation to its thermal expansivity. This expansion leads to a slight increase in surface area.

Once the surface area of the metal changes, this means that the dimensions of the whole metal surface changed. As a result, the diameter of the hole drilled in the metal plate will change also. In our case, the diameter of the hole will increase.

Answer:

What is the radius of the table tennis ball?

 ⇒ 2.1 cm  

What is the radius of the golf ball?

2.0  cm

Explanation:

divide the radius and round it to the nearest 10th place..... but hope that help ;)

Answer:

1) What is the radius of the table tennis ball?

2.1 cm

2) What is the radius of the golf ball?

2.0 cm

Explanation:

Did this on Edge 2023 and got it right. Hope this helps :)

Answer:

magnitude = 7.446 km, direction = 75.22° north of east

Explanation:

From the questions,

To get the the magnitude of the resultant vector we use Pythagoras theorem

a² = b²+c²

From the diagram,

y² = 1.9²+7.2²

y² = 55.45

y = √(55.45)

y = 7.446 km.

The direction of the dolphin is given as,

θ = tan⁻¹(7.2/1.9)

θ = tan⁻¹(3.7895)

θ = 75.22° north of east

Hence the magnitude of the resultant vector = 7.446 km, and it direction is 75.22° north of east

Answer:

the instantaneous velocity of P is greater that Q because P obviously passes Q at that instant in time t

2. P has greater velocity at that instant (to) because P will need to be at a greater velocity to pass Q

Answer:

The  value  is   [tex]t = 3.28 \  s[/tex]

Explanation:

From the question we are told that    

      The  initial velocity is  [tex]u = 23.8 \  m/s[/tex]

       The angle is [tex]\theta=  42.5^o[/tex]

Generally from the projectile motion equation we know that the time of flight is mathematically represented as

       [tex]t  =  \frac{2 *  u  *sin (\theta )}{ g }[/tex]

=>    [tex]t =  \frac{ 2 *  23.8 *  sin (42.5)}{9.8 }[/tex]

=>      [tex]t = 3.28 \  s[/tex]

This question is incomplete, the complete question is;

A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = -16t² + 8√t, where t is the time in seconds and s(t) is the distance in feet from the top of the building.

(a) Write a formula for the average velocity of the ball for t near 4.

(b) Find the average velocity for the time interval beginning when t = 4 with duration 1 seconds, 0.5 seconds, and 0.05 seconds

(c) What is your estimate for the instantaneous velocity of the ball at t = 4

Answer:

a)

Average velocity, (Vavg)  of the ball for t near 4.

Vavg = [s(4) - s(0)] / (4 - 0)

Where s(4) = -16 × 4² + 8 × √4= - 240 m

s(0) = -16 × 0 + 8 * 0 = 0

b)

duration = 1 sec

Vavg = [s(5) - s(4)] / (5 - 4)

s(5) = -16 × 52 + 8 × √5 = - 382 m

s(4) = -16 × 42 + 8  √4 = - 240 m

Vavg = (-382 - (-240)) / (5 - 4)

Vavg = - 142.1 m/s

duration = 0.5 sec

Vavg = [s(4.5) - s(4)] / (4.5 - 4)

s(4.5) = -16 × 4.52 + 8 × √4.5 = - 307 m

s(4) = -16 × 42 + 8 × √4 = - 240 m

Vavg = (-307 - (-240)) / (4.5 - 4)

Vavg= - 134.1 m/s

duration = 0.05 sec

Vavg = [s(4.05) - s(4)] / (4.05 - 4)

s(4.05) = -16 × 4.052 + 8 × √4.05 = - 246 m

s(4) = -16 × 42 + 8 × √4 = - 240 m

Vavg = (-246 - (-240)) / (4.05 - 4)

Vavg= - 126.8 m/s

c)

Instantaneous velocity, v = ds/dt

= - 16 × 2 × t + 8 ×× (0.5 / √t )

= - 32 × t + 4/√t

ds/dt at t = 4 is,

v = - 32 × 4 + 4 / √4

= - 126 m/s

Complete Question

A small metal sphere, carrying a net charge q1=−2μC, is held in a stationary position by insulating supports. A second small metal sphere, with a net charge of q2= -8μC and mass 1.50g, is projected toward q1. When the two spheres are 0.80m apart, q2 is moving toward q1 with speed 20ms−1. Assume that the two spheres can be treated as point charges. You can ignore the force of gravity.The speed of q2 when the spheres are 0.400m apart is.

Answer:

The value [tex]v_2 = 4 \sqrt{10} \ m/s[/tex]

Explanation:

From the question we are told that

   The  charge on the first sphere is  [tex]q_1 = 2\mu C = 2*10^{-6} \ C[/tex]

    The charge on the second sphere is  [tex]q_2 = 8 \mu C = 8*10^{-6} \ C[/tex]

     The  mass of the second charge is [tex]m = 1.50 \ g = 1.50 *10^{-3} \ kg[/tex]

      The  distance apart is  [tex]d = 0.4 \ m[/tex]

      The  speed of the second  sphere is  [tex]v_1 = 20 \ ms^{-1}[/tex]

Generally the total energy possessed by when [tex]q_2[/tex] and  [tex]q_1[/tex] are separated by [tex]0.8 \ m[/tex] is mathematically represented

     [tex]Q = KE + U[/tex]

Here KE   is  the kinetic energy which is mathematically represented as

     [tex]KE = \frac{1 }{2} m (v_1)^2[/tex]

substituting value

     [tex]KE = \frac{1 }{2} * ( 1.50 *10^{-3}) (20 )^2[/tex]

     [tex]KE = 0.3 \ J[/tex]

And  U is  the  potential  energy which is mathematically represented as

        [tex]U = \frac{k * q_1 * q_2 }{d }[/tex]

substituting values

       [tex]U = \frac{9*10^9 * 2*10^{-6} * 8*10^{-6} }{0.8 }[/tex]

      [tex]U = 0.18 \ J[/tex]

So

       [tex]Q = 0.3 + 0.18[/tex]

       [tex]Q = 0.48 \ J[/tex]

Generally the total energy possessed by when [tex]q_2[/tex] and  [tex]q_1[/tex] are separated by [tex]0.4 \ m[/tex] is mathematically represented

         [tex]Q_f = KE_f + U_f[/tex]

Here [tex]KE_f[/tex] is  the kinetic energy which is mathematically represented as

     [tex]KE_f = \frac{1 }{2} m (v_2^2[/tex]

substituting value

     [tex]KE_f = \frac{1 }{2} * ( 1.50 *10^{-3}) (v_2 )^2[/tex]

     [tex]KE_f = 7.50 *10^{ -4} (v_2 )^2[/tex]

And  [tex]U_f[/tex] is  the  potential  energy which is mathematically represented as

        [tex]U_f = \frac{k * q_1 * q_2 }{d }[/tex]

substituting values

       [tex]U_f = \frac{9*10^9 * 2*10^{-6} * 8*10^{-6} }{0.4 }[/tex]

      [tex]U_f = 0.36 \ J[/tex]

From the law of energy conservation

     [tex]Q = Q_f[/tex]

So

    [tex]0.48 = 0.36 +(7.50 *10^{-4} v_2^2)[/tex]

   [tex]v_2 = 4 \sqrt{10} \ m/s[/tex]

Answer:

a) The kinetic energy of the 1200-kg automobile moving at 18 meters per second is 194400 joules, b) The kinetic energy of the 1200-kg automobile moving at 18 meters per second is 46440.516 calories, c) the kinetic energy is transformed into work due to friction, which is a non-conservative force. And such work is dissipated in the form of heat.

Explanation:

a) Let be the automobile considered as particle travelling on horizontal ground, so that motion is entirely translational and whose formula for kinetic energy, measured in joules, is:

[tex]K = \frac{1}{2}\cdot m \cdot v^{2}[/tex]

Where:

[tex]m[/tex] - Mass, measured in kilograms.

[tex]v[/tex] - Speed of automobile, measured in meters per second.

If [tex]m = 1200\,kg[/tex] and [tex]v = 18\,\frac{m}{s}[/tex], the kinetic energy of the automobile is:

[tex]K = \frac{1}{2}\cdot (1200\,kg)\cdot \left(18\,\frac{m}{s} \right)^{2}[/tex]

[tex]K = 194400\,J[/tex]

The kinetic energy of the 1200-kg automobile moving at 18 meters per second is 194400 joules.

b) A calory equals 4.186 joules. The kinetic energy in calories is:

[tex]K = 194400\,J \times \left(\frac{1}{4.186}\,\frac{cal}{J} \right)[/tex]

[tex]K = 46440.516\,cal[/tex]

The kinetic energy of the 1200-kg automobile moving at 18 meters per second is 46440.516 calories.

c) When the automobile brakes to a stop, the kinetic energy is transformed into work due to friction, which is a non-conservative force. And such work is dissipated in the form of heat. Hence, such energy cannot be recovered. Potential energies are conservative by nature.

Answer:

cosine is adjacent over hypotenuse

Explanation:

How I know? It's just a basic formula for triangles, and my teacher taught me this. Sorry if this didn't help.

Answer:

D.cos(e)

hypotenuse adjacent

SUENT

Explanation:

it is helpful to you

Answer:

Weight

Explanation:

Weight is the downward pull on an object due to gravity.

For example, the moon has less gravity than Earth so we would weigh less on the moon. Our Mass and volume always stay the same but our weight could change.

Answer:

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Explanation:

Answer:

The distance is [tex]r_2  =  0.24 \  m[/tex]

Explanation:

From the question we are told that

       The  distance from the conversation is [tex] r_1    =  24.0 \ m[/tex]

       The  intensity of  the sound at your position is  [tex]\beta _1 =  40 dB[/tex]

        The  intensity at the sound at the new position is  [tex]\beta_2 =  80.0dB[/tex]

Generally the intensity in  decibel is  is mathematically represented as

      [tex]\beta  =  10dB log_{10}[\frac{d}{d_o} ][/tex]

The intensity is  also mathematically represented as

      [tex]d =  \frac{P}{A}[/tex]

So

    [tex]\beta  =  10dB *  log_{10}[\frac{P}{A* d_o} ][/tex]

=>   [tex]\frac{\beta}{10}  =  log_{10} [\frac{P}{A (l_o)} ][/tex]

From the logarithm definition

=>    [tex]\frac{P}{A  *  d_o}  =  10^{\frac{\beta}{10} }[/tex]

=>      [tex]P =  A (d_o ) [10^{\frac{\beta }{ 10} } ][/tex]

Here P is the power of the sound wave

 and  A is the cross-sectional area of the sound wave  which is generally in spherical form

Now the power of the sound wave at the first position is mathematically represented as

               [tex]P_1 =  A_1 (d_o ) [10^{\frac{\beta_1 }{ 10} } ][/tex]

Now the power of the sound wave at the second  position is mathematically represented as

               [tex]P_2 =  A_2 (d_o ) [10^{\frac{\beta_2 }{ 10} } ][/tex]

Generally  power of the wave is constant at both positions  so  

    [tex]A_1 (d_o ) [10^{\frac{\beta_1 }{ 10} } ]  = A_2 (d_o ) [10^{\frac{\beta_2 }{ 10} } ][/tex]

      [tex]4 \pi r_1 ^2   [10^{\frac{\beta_1 }{ 10} } ]  = 4 \pi r_2 ^2   [10^{\frac{\beta_2 }{ 10} } ][/tex]

        [tex]r_2 =  \sqrt{r_1 ^2 [\frac{10^{\frac{\beta_1}{10} }}{ 10^{\frac{\beta_2}{10} }} ]}[/tex]

       substituting value

        [tex]r_2 =   \sqrt{ 24^2 [\frac{10^{\frac{ 40}{10} }}{10^{\frac{80}{10} }} ]}[/tex]

        [tex]r_2  =  0.24 \  m[/tex]

Answer:

The speed is 10 m/s

Explanation:

Th mass if the rock = 100 g = 0.1 kg

The kinetic energy = 5.0 J

speed of the rock = ?

The kinetic energy of the rock is given by the equation

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

where

m is the mass of the rock

V is the velocity of the rock

substituting, we have

5 = [tex]\frac{1}{2} *0.1*v^{2}[/tex]

[tex]v^{2}[/tex] = 5/0.05 = 100

v = [tex]\sqrt{100}[/tex] = 10 m/s

Answer:

The  value is  [tex]\theta = 34.40^o[/tex]

Explanation:

From the question we are told that

   The  index of refraction is  [tex]n_s = 1.77[/tex]

   The  refractive index of air is  [tex]n_a = 1.0[/tex]

Generally the critical angle is mathematically represented as

      [tex]\theta = sin ^{-1} [\frac{1}{n_s} ][/tex]

=>    [tex]\theta = sin ^{-1} [\frac{1}{1.77} ][/tex]

=>    [tex]\theta = sin ^{-1} [0.565 ][/tex]

=>    [tex]\theta = 34.40^o[/tex]

Given :

Speed of bus for first 16 hours is , u = 15 km/h .

Distance he walked for next 0.4 hour is , v = 4.5 km/h .

To Find :

The average speed for the whole  journey.

Solution :

Average speed is given by :

[tex]v_{avg}=\dfrac{u_1t_1+u_2t_2}{t_1+t_2}\\\\v_{avg}=\dfrac{15\times 16 + 4.5\times 0.4}{16+0.4}\\\\v_{avg}=14.74\ km/h[/tex]

Therefore , the average speed of the journey is 14.74 km/h .

Hence , this is the required solution .

Answer:

The maximum speed the ball can have is 15.37 m/s

Explanation:

Given;

mass of the ball, m = 0.4 kg

radius of the chord, r = 1.5 m

maximum tension on the chord, T = 63 N

The maximum tension on the chord is given by;

[tex]T_{max} = \frac{mv_{max}^2}{r} \\\\v_{max}^2 = \frac{T_{max} *r}{m}\\\\ v_{max} = \sqrt{\frac{T_{max} *r}{m}} \\\\ v_{max} =\sqrt{\frac{63 *1.5}{0.4}}\\\\v_{max} = 15.37 \ m/s[/tex]

Therefore, the maximum speed the ball can have is 15.37 m/s

Answer:

E. converging surface winds

Explanation:

For the formation of tropical cyclones to occur in the northeast of the tropical Pacific Ocean, it is necessary to have converging surface winds that present a strong convection. This allows for the formation of vertical movements of an ascending nature that have great strength and are intense and violent. This also allows closed cyclonic circulation to occur at the lower levels which together with a low frontal pressure system over the waters of the Pacific Ocean can form the tropical cyclone.

Answer: I added a picture of the answer

Explanation: its right

The image of answer with labeled Time-Distance Graph is attached.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

How far an object has moved in a certain amount of time is displayed on a distance-time graph. The graph that shows the results of the distance vs time analysis is a straightforward line graph.

When the object's motion is uniform, and the graph is a straight line.  we can determine the object's speed at any given moment of time from the graph. The object was in the following positions when it started and stopped:

Speed = (Final Position-Initial position)/Time

Drawing a rectangle anywhere along the straight line that regulates the object's speed will reveal the slope of the line. A horizontal line on the distance-time graph indicates that an object is at rest if it is not moving.

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Answer:

1.0625×10¹⁹ electrons

Explanation:

From the question,

Using,

Q = It........................ Equation 1

Where Q = charge, I = current flowing in the wire, t = time (seconds)

Given: I = 1.70 A, t = 1 Seconds.

Substitute these values into equation 1

Q = 1.7(1)

Q = 1.7 C.

But,

1.6×10⁻¹⁹ C = 1 electron

Therefore,

1.7 C = 1.7/(1.6×10⁻¹⁹) electrons

= 1.0625×10¹⁹ electrons

Hence, 1.0625×10¹⁹ electrons flows through the wire per seconds.

Answer:

  25 turns

Explanation:

The voltage ratio is the turns ratio:

  secondary turns / primary turns = secondary voltage / primary voltage

  secondary turns / 600 = 5/120

  secondary turns = 600(5/120) = 25 . . . turns

The secondary coil has 25 turns.

Answer:

Total speed of the insect as seen by a person standing on the side of the road is 22 m/s

Explanation:

There i a composition of velocities, since the air inside the bus is moving at the same speed as the bus, and the insect flying relative to it.

So for an observer on the side of the road, the insect is flying at a speed of :

20 m/s + 2 m/s = 22 m/s

explanation

a=average velocity/average time

average velocity=0.0+1.2+2.4+3.6/4

average velocity=7.2/4

average velocity=1.8 m/s

average time=0.0+3.0+6.0+9.0/4

average time=18/4

average time=4.5 s

a= average velocity/average time

a=1.8/4.5

a=0.4 m/s²

Answer:

1.938*10^3N/C

Explanation:

Using F= qE

E= F/q

Where q= 1.6x10-19

So 3.1*10^-16/1.6*10^-19

= 1.938*10^3N/C

Explanation:

Answer:In physics, energy is the quantitative property that must be transferred to an object in order to perform work on, or to heat, the object.[note 1] Energy is a conserved quantity; the law of conservation of energy states that energy can be converted in form, but not created or destroyed. The SI unit of energy is the joule, which is the energy transferred to an object by the work of moving it a distance of 1 metre against a force of 1 newton.

Common forms of energy include the kinetic energy of a moving object, the potential energy stored by an object's position in a force field (gravitational, electric or magnetic), the elastic energy stored by stretching solid objects, the chemical energy released when a fuel burns, the radiant energy carried by light, and the thermal energy due to an object's temperature.

Mass and energy are closely related. Due to mass–energy equivalence, any object that has mass when stationary (called rest mass) also has an equivalent amount of energy whose form is called rest energy, and any additional energy (of any form) acquired by the object above that rest energy will increase the object's total mass just as it increases its total energy. For example, after heating an object, its increase in energy could be measured as a small increase in mass, with a sensitive enough scale.

Living organisms require energy to stay alive, such as the energy humans get from food. Human civilization requires energy to function, which it gets from energy resources such as fossil fuels, nuclear fuel, or renewable energy. The processes of Earth's climate and ecosystem are driven by the radiant energy Earth receives from the sun and the geothermal energy contained within the earth.

Explanation:

Some forms of energy (that an object or system can have as a measurable property)

Type of energy Description

Mechanical the sum of macroscopic translational and rotational kinetic and potential energies

Electric potential energy due to or stored in electric fields

Magnetic potential energy due to or stored in magnetic fields

Gravitational potential energy due to or stored in gravitational fields

Chemical potential energy due to chemical bonds

Ionization potential energy that binds an electron to its atom or molecule

Nuclear potential energy that binds nucleons to form the atomic nucleus (and nuclear reactions)

Chromodynamic potential energy that binds quarks to form hadrons

Elastic potential energy due to the deformation of a material (or its container) exhibiting a restorative force

Mechanical wave kinetic and potential energy in an elastic material due to a propagated deformational wave

Sound wave kinetic and potential energy in a fluid due to a sound propagated wave (a particular form of mechanical wave)

Radiant potential energy stored in the fields of propagated by electromagnetic radiation, including light

Rest potential energy due to an object's rest mass

Thermal kinetic energy of the microscopic motion of particles, a form of disordered equivalent of mechanical energy

Main articles: History of energy and timeline of thermodynamics, statistical mechanics, and random processes

Answer:

b. False

Explanation:

The Bernoulli's equation is given by;

[tex]P + \rho gh + \frac{1}{2} \rho v^2 = constat[/tex]

Divide through by the density of the fluid and acceleration due to gravity (ρg), to obtain energy per unit weight of the fluid known as head;

[tex]\frac{P}{\rho g} + h + \frac{v^2}{2g} = constant[/tex]

where;

[tex]\frac{P}{\rho g}[/tex] is pressure head

h is datum head (mechanical energy due to height of the fluid)

[tex]\frac{v^2}{2g}[/tex] is velocity head (mechanical energy due to velocity of the fluid)

Thus, the mechanical energy of a fluid per unit weight of the fluid, measured relative to the bottom of the channel is datum head.

The correct option is "b. False"

Answer:

Uses of concave mirror:

Shaving mirrors.

Head mirrors.

Ophthalmoscope.

Astronomical telescopes.

Headlights.

Solar furnaces.

Uses of convex mirror:

Convex mirrors always form images that are upright, virtual, and smaller than the actual object. They are commonly used as rear and side view mirrors in cars and as security mirrors in public buildings because they allow you to see a wider view than flat or concave mirrors.

please give me full points.

Speed = distance / time

Speed = (33 cm) / (2min 20sec)

Speed = (0.33 m) / (140 sec)

Speed = 0.0024 m/s

Speed = (0.0024 m/s) x (3600 sec / 1 hr) x (1 km / 1000 m)

Speed = (0.0024 x 3600 / 1000) (m-sec-km / sec-hr-m)

Speed = 0.0085 km/hr

For the time of 2 min and 20 seconds, Archie's speed in m/s will be 0.0024 m/s and Archie's speed in km/hr will be 0.0085 km/hr.

The "speed at which an object is traveling," or speed, is a scalar quantity. The speed of an object is the rate at which it moves through space. A fast-moving object covers a considerable distance in a short amount of time while traveling at a high speed. An object moving slowly, on the other hand, moves a comparatively modest distance in the same amount of time. An object with zero speed is one that is not moving at all.

According to the question, the given values are :

Distance, d = 33 inches or,

d = 33 cm

Time, t = 2 minutes 20 seconds, or,

t = 140 seconds.

Speed is the ratio of distance to time.

s = 33/140

s = 0.0024 m/s

Now the distance in km/hr will be :

s = 0.0024 m/s × 3600 sec / 1hr × 1 km/ 1000 m

s= 0.0085 km/hr

Hence, the speed in km/hr is 0.0085 km/hr and in m/s speed is 0.0024 m/s.

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Answer:

7482.5VA

Explanation:

We have that,

phase voltage of a three phase load is,240v

The phase current of a three phase load is, 18A

So To find apparent load we use

VA= √3*E*I

=√ 3*240*18

=7482.5VA

Answer:

Their displacement is 5 Km from the cabin.

Explanation:

The displacement is define is the shortest distance between two points. It is the shortest distance of a line that joins two points together. It quantifies both the distance and direction of the net or total motion along a straight line from the initial position to the final position of the point trajectory. In this case, the straight line joining the cabin to the stream is line S which is equal to 5 Km

Answer:

The mass of water that will evaporate 2.857 kg.

Explanation:

Given;

temperature of the water, T = 100 c

rate of heat transfer,  H = 2 kW = 2000 w

time, t = 10 min = 10 min x 60s = 600s

heat capacity of water is given by;

Q = McΔT

Where;

Q is the quantity of heat transfer to the pan = P x t =  2000 x 600 = 1200000 J.

c is specific heat capacity of water = 4200 J/kg.°C

m = (Q) / (cΔT)

m = (1200000) (4200 x 100)

m = 2.857 kg

Therefore, the mass of water that will evaporate 2.857 kg.