A hollow spherical iron shell floats almost completely submerged in water. The outer diameter is 60.0 cm, and the density of iron is 7.87 g∕c m cubed . Find the inner diameter in cm. Express to 3 sig figs.

We have the next diagram

When the signs are opposite, the charges experience an attractive force

When the both charge is positive the force is the force is repulsion

The angular diameter of Mars in radians and in arc minutes and the evaluation of the capability of human eyes to resolve Mars of diameter 6.8 × 10³ km, located 5.5 × 10⁷ km away are as follows;

(d) The angular diameter of Mars is 1.23\(\overline{63}\) × 10⁻⁴ rad

(e) The angular diameter in arc minutes is about 0.425 arc minute.

The angular diameter is an apparent dimension used to describe the size of a circular object, observed from a specified point of view or location.

The diameter of Mars = 6,800 km

The closest distance between Mars and Earth when Mars gets closest to Earth = 55,000,000 km

(d) The angular diameter of Mars can be obtained by finding the vertex angle formed by the diameter of Mars and the ray from the observer on Earth to the left and right extremities of Mars using the trigonometric ratio of tangent as follows;

Angular diameter = 2 × arctan((6,800/2)/55,000,000) = 0.000123636363 radians

The angular diameter of Mars as observed from Earth is 1.23\(\overline{63}\) × 10⁻⁴ radians

(e) 1 radians = 3437.75 arc minute

0.000123636363 radians = 0.000123636363 × 3437.75 arc minute

0.000123636363 × 3437.75 ≈ 0.425

Therefore;

0.000123636363 radians ≈ 0.425 arc minute

The specified level of detail that the human eye can resolve is one arc minute (1')

The apparent angular diameter of Mars, which is about 0.425 arc minute is lesser than the angular limit of detail of one arc minute that the eye can resolve, therefore, humans can not resolve Mars without optical aid.

Learn more about trigonometric ratios here: https://brainly.com/question/25663658

#SPJ1

The work done by air resistance during the descent from the height of the helicopter to the ground is 520.2 J.

The acceleration of the skydiver is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

v² = 2as

a = (v²)/(2s

a = (3.5²)/(2 x 1200)

a = 0.0051 m/s²

W = Fd

W = (ma)d

W = (85 x 0.0051) x 1200

W = 520.2 J

Thus, the work done by air resistance during the descent from the height of the helicopter to the ground is 520.2 J.

Learn more about work done by air resistance here:  https://brainly.com/question/25970931

(1) -2.0025m/s.

(2) It moves west.

(3) 3.3375m/s.

(4) It moves east.

Assuming the collision occurred in an isolated system. This means that total momentum of the system of pucks is conserved. Since no external forces are acting on these pucks, the momentum of the pucks before collision is equal to the momentum of the pucks after collision. i.e

(p₁)₀ + (p₂)₀ = (p₁)₁ + (p₂)₁              -------------(i)

Where;

(p₁)₀ = momentum of the 0.45kg puck before collision

(p₂)₀ = momentum of the 0.990kg puck before collision

(p₁)₁ = momentum of the 0.45kg puck after collision

(p₂)₁ = momentum of the 0.990kg puck after collision

But;

(p₁)₀ = m₁ u₁  

[m₁ = mass of the 0.45kg, u₁ = speed of the 0.45kg before collision]

(p₂)₀ = m₂u₂

[m₂ = mass of the 0.990kg, u₂ = speed of the 0.990kg before collision]

(p₁)₁ = m₁v₁

[m₁ = mass of the 0.45kg, v₁ = speed of the 0.45kg after collision]

(p₂)₁ = m₂v₂

[m₂ = mass of the 0.990kg, v₂ = speed of the 0.990kg after collision]

Equation (i) then becomes;

m₁ u₁ + m₂u₂ = m₁v₁ + m₂v₂    ----------------(ii)

From the question:

m₁ = 0.450kg

u₁ = +5.34m/s   [Taking east direction as positive]

m₂ = 0.990kg

u₂ = 0m/s    [since the second puck is initially at rest]

Substitute these values into equation (ii)

(0.450 x 5.34) + (0.990 x 0) = 0.45 v₁ + 0.990 v₂

2.403 + 0 = 0.45 v₁ + 0.990 v₂

2.403 = 0.45 v₁ + 0.990 v₂           ------------------(iii)

Also, since the collision is perfectly elastic, it means that the kinetic energy is conserved. i.e the total kinetic energy before collision is equal to the total kinetic energy after collision.

=> \(\frac{1}{2}\)m₁ u²₁ + \(\frac{1}{2}\)m₂u²₂ = \(\frac{1}{2}\)m₁v²₁ + \(\frac{1}{2}\)m₂v²₂

Substitute the necessary values into the above equation:

[\(\frac{1}{2}\) x 0.45 x 5.34²] + [0] = [\(\frac{1}{2}\) x 0.45 x v²₁] + [\(\frac{1}{2}\) x 0.990 x v²₂]

[6.41601] = [0.225 x v²₁] + [0.495 x v²₂]  ------------------(iv)

Now let's solve equations (iii) and (iv) simultaneously

2.403 = 0.45 v₁ + 0.990 v₂

6.41601 = 0.225 x v²₁ + 0.495 x v²₂

let

v₁ = x

v₂ = y

2.403 = 0.45 x + 0.990 y                  ------------(5)

6.41601 = 0.225 x² + 0.495 y²         -------------(6)

From equation (5), make x subject of the formula

2.403 = 0.45x + 0.990y

0.45x = 2.403 - 0.990y         [divide through by 0.45]

x = 5.34 - 2.2y    ----------------(m)

Substitute x into equation (6)

6.41601 = 0.225 (5.34 - 2.2y)² + 0.495 y²     [expand bracket]

6.41601 = 0.225 [28.5156 - 23.496y + 4.84y²] + 0.495 y²   [remove bracket]

6.41601 = 6.41601 - 5.2866y + 1.089y² + 0.495 y²

1.584y² - 5.2866y = 0

y(1.584y - 5.2866) = 0

y = 0       or       1.584y - 5.2866 = 0

y = 0       or       1.584y = 5.2866

y = 0       or       y = 3.3375

Since y = v₂ cannot be zero because the puck will definitely move after collision, the second value of y = 3.3375 is considered.

Substitute this value into equation (m)

x = 5.34 - 2.2y

x = 5.34 - 2.2(3.3375)

x = 5.34 - 7.3425

x = -2.0025

Therefore,

x = v₁ = -2.0025m/s

y = v₂ = 3.3375m/s

(1) From the analyses above, the speed of the 0.450kg puck after collision is -2.0025m/s.

(2) Since the speed is negative, it shows that the 0.45kg puck moves opposite the direction at which it was moving before collision. It moves west.

(3) The speed of the 0.990kg puck after collision is 3.3375m/s.

(4) Since the speed is positive, it shows that the 0.990kg puck moves east. Remember that east has been taking as the positive direction.

Explanation:

a. For constant acceleration:

v_avg = ½ (v + v₀)

v_avg = ½ (60 m/s + 15 m/s)

v_avg = 37.5 m/s

b. a = (v − v₀) / t

a = (60 m/s − 15 m/s) / 20 s

a = 2.25 m/s²

c. x = v_avg t

x = (37.5 m/s) (20 s)

x = 750 m

The difference in the elevation is 4505 meters.

A geographic location's elevation is its height above or below a fixed reference point, most commonly a reference geoid, which is a mathematical model of the Earth's sea level as an equipotential gravitational surface.

Elevations are classified into four types: front elevation, side elevation, rear elevation, and split elevation.

In this case, the lowest point in Death Valley is 85 m below sea level. The summit of nearby Mt. Whitney has an elevation of 4420 m above sea level. The difference will be:

= Highest point - Lowest point

= 4420 - (-85)

= 4420 + 85

= 4505 m

Learn more about elevation on:

https://brainly.com/question/88158

#SPJ1

Complete question

The lowest point in Death Valley is 85 m below sea level. The summit of nearby Mt. Whitney has an elevation of 4420 m above sea level. What is the difference in the elevation?

Answer:

75 cm/second.

Explanation:

Formula:

Walking speed = stride length / time per step

Walking speed = 90cm/time per step

                         = 90cm/1.2 seconds (a common estimate time per step)

                         = 75cm/second.

According to the information we can infer that the decrease in speed is offset by the increase in radius.

To calculate the speed the ice cube we have to consider that the gravitational force on the ice cube is balanced by the normal force provided by the cone. So, the speed of the ice cube must be such that the centripetal force equals the gravitational force.

In this case, to find the speed of the ice cube let M be the mass of the ice cube and r be the radius of the circular path. The gravitational force on the ice cube is given by Fg = Mg, where:

g = acceleration due to gravity.

The centripetal force is given by Fc = Mv^2/r, where:

v = speed of the ice cube

Setting Fg = Fc, we get:

Solving for v, we get:

v = sqrt(gr)

No piece of data is unnecessary for the solution.

According to the information, when R is made two times larger, the required speed will decrease. For example:

From part (a), v is proportional to the square root of R. Therefore, if R is doubled, v will be multiplied by the square root of 2, which is approximately 1.414.

To know if the time required for each revolution will increase, decrease or stay constant we have to consider that shen R is made two times larger, the time required for each revolution will increase. To see this, note that the period T of the circular motion is given by:

T = 2πr/v

According to the information, the answers to parts (c) and (d) are not contradictory because the decrease in speed is offset by the increase in radius, resulting in a longer period of revolution. The net effect is that the ice cube will travel the same distance in each revolution, so the total time required for one complete revolution will remain constant.

Learn more about ice cube in: https://brainly.com/question/26099255

#SPJ1

Make a section of a line AB = 5 cm. 2. Draw two arcs, one above and one below AB, with a radius of any bigger than 2.5 cm and with the compass set at A bisects.

A straight line drawn from a triangle's vertex to its opposite side that divides an angle into two equal or congruent angles is called an angle bisector. Triangle Angle Bisector Theorems The internal and exterior angle bisector theorems and their contrapositions are shown in the table below.

A line is divided into two equal halves by a bisector. Therefore, when we refer to the perpendicular bisector of a line segment AB, we mean that it bisects or divides AB into two equal halves.

A line is an angle bisector.

To learn more about bisects  please click on below link

https://brainly.com/question/17445304

#SPJ4

The gauge pressure inside the bubble. is -101310.4 Pa.

The negative sign shows  that the pressure inside the bubble is lower than the atmospheric pressure. Hence, the bubble will rise to the surface of the water.

We apply Laplace's law to find the absolute pressure inside the bubble:

ΔP = 2γ/r

where ΔP is the pressure difference across the curved surface of the bubble, γ is the coefficient of surface tension of water, and r is the radius of curvature of the bubble.

r = 0.5 mm = 0.0005 m

Substituting the given values, we have:

ΔP = 2 × 0.073 N/m ÷ 0.0005 m

ΔP = 14.6 × 10^(-3) Pa

The atmospheric pressure at sea level is approximately 101325 Pa. Therefore, the gauge pressure inside the bubble is:

P_gauge = ΔP - P_atm

P_gauge = 14.6 × 10^(-3) Pa - 101325 Pa

P_gauge = -101310.4 Pa

Learn more about atmospheric pressure at: https://brainly.com/question/13450762

#SPJ1

Answer:

Workdone = 113778 Joules

Explanation:

Given the following data;

Force = 903N

Distance = 126m

To find the workdone;

Workdone = force * distance

Substituting into the equation, we have

Workdone = 903 * 126

Workdone = 113778 Joules

Therefore, the amount of work, in joules, the gravity did on the asteroid is 113778.

1. The kinetic energy would be the same for the both balls.

2) As the ball gains potential energy, its speed will decrease.

Kinetic energy is the energy possessed by an object due to its motion. The amount of kinetic energy an object has is dependent on its mass and velocity. An object with a greater mass and a higher velocity will have a higher kinetic energy than an object with a smaller mass and lower velocity.

The increase in the potential energy as the ball reaches the maximum height would imply that the ball would become stationary for some time and the speed will decrease.

Learn more about kinetic energy:https://brainly.com/question/999862

#SPJ1

When two particles collide and the masses of the particles are given, as well as the initial and final velocity of one particle and one of the velocities of the second particle, then the remaining velocity of the second particle is given by the expression:

Which can be deduced from the Law of Conservation of Linear Momentum.

In the given problem, the initial and final velocities of the train car with mass 10kg are given, as well as the initial velocity of the 20kg car:

Replace those values into the given equation to find v₂':

Therefore, the velocity of the 20kg train car after the collision, is: -25 m/s.

Answer:

volt ÷ ampere

Explanation:

The mathematical form of Ohms law is given by :

V = IR

Where V is voltage

I is current

R is resistance

\(R=\dfrac{V}{I}\)

The unit of voltage is volt and that of current is ampere

Unit of resistance :

\(R=\dfrac{\text{volt}}{\text{ampere}}\)

So, volt ÷ ampere is the same as the unit of resistance. Hence, the correct option is (a).

Answer:

The answer is: volt ÷ ampere

Explanation:

Hope this helps. :)

If it's right, can you mark me as Brainliest.

The net force on particle 1 or charge 1 is determined as 32.73 N.

The net force acting on charge 1 is calculated by applying Coulomb's law as shown below;

Force due to charge 2;

F12 = (9 x 10⁹ x 5.16 x 10⁻⁶ x 8.99 x 10⁻⁶)/ (0.22²)

F12 = 8.625 N

Force due to charge 3;

F12 = (9 x 10⁹ x 89.9 x 10⁻⁶ x 8.99 x 10⁻⁶)/ (0.55²)

F12 = 24.1 N

The net force on charge 1 is calculated as;

F (net) = 8.625 N + 24.1 N

F (net) = 32.73 N

Learn more about net force here: https://brainly.com/question/11556949

#SPJ1

the answer for the speed of the roller coaster at the top of the loop is v = 14.8 m/s

the minimum speed necessary for the coaster to complete the loop without falling off the track is 11.3 m/s.

(a) To find the speed of the roller coaster at the top of the loop, we can use the equation for centripetal acceleration: a = v^2/r. We know that the radius of curvature is 13.0 m and the downward acceleration of the car is 1.50 g (where g is the acceleration due to gravity, approximately 9.8 m/s^2).

So, we can rearrange the equation to solve for v: v = sqrt(ar)

Plugging in the values, we get: v = sqrt(1.5g * 13m)

v = sqrt(22.5 * 9.8)

v = sqrt(219.5)

v = 14.8 m/s

(b) To find the minimum speed necessary for the coaster to complete the loop without falling off the track, we can use the same equation for centripetal acceleration, but this time we will use the minimum value of a that will keep the car on the track, which is equal to the acceleration due to gravity (g).

So, we can rearrange the equation to solve for v: v = sqrt(ar)

Plugging in the values, we get: v = sqrt(g * 13m)

v = sqrt(9.8 * 13m)

v = sqrt(127.4)

v = 11.3 m/s

So the minimum speed necessary for the coaster to complete the loop without falling off the track is 11.3 m/s.

Learn more on centripetal force here https://brainly.com/question/20905151

#SPJ1

Answer:

B) Mass is a measurement of force

Explanation:

Mass is not a measurement of force, mass is a measurement of the amount of matter in an object.

Answer:

AS USUAL SHE DID NOT TAKE PART

I’ll never forget what’s her name

A PE teacher and ogre she became

For I was such a sickly child

it really made this ogre wild

Held in my hand a medical certificate

exempted from all things physical

with Rheumatic Fever and St Vitus’ Dance

for me to take part ~ there was no chance

Instead I assisted the Deputy Head

with clerical duties I helped him instead

But clearly this really annoyed her

As she gave me her evil stare

She appeared to be looking right through me

No words were spoken ~ was I even there

Each and every year she wrote

inside my school report

A snide remark that ended with

“as usual she did not take part”

For I was told such illnesses

Could leave me with a weakened heart

And so upon Doctor’s orders

in PE I was not to take part

I can still see her face

As she filled me with fear

No compassionate words

from her lips I could hear

Whilst illnesses kept me off school for a year

It’s time I let go of this nasty so and so

For she left planet Earth a long time ago

And my heart ~ it still beats

I’m so glad to be here

With a smile on my face

I have no one to fear

Answer:

Explanation:

Physical education is important because it keeps you healthy and living longer

Explanation:

Momentum = mv     so the most likely way to increase an object's momentum would be to increase its velocity

The angle to the horizontal the ball was launched at can be determined using trigonometry. Once you have the initial horizontal and vertical velocities, you can use the tangent function to calculate the launch angle.

Velocity is a physical quantity that describes the rate at which an object changes its position. It is a vector quantity, which means it has both magnitude and direction. The magnitude of velocity is the speed of the object, while its direction is the direction of motion.

Time is a concept that refers to the sequence of events that occur in a continuous progression, from the past, through the present, and into the future. It is a way to measure the duration or the length of events or periods, and it is a fundamental aspect of our experience and understanding of the world.

To know more about  velocity visit :

https://brainly.com/question/17127206

#SPJ1

Answer:

Summary: Nutrition and exercise are critical for improving body composition. Keeping your calories, fiber and protein in check is a good first step. All exercise can help with fat loss, but weight training is the best way to increase muscle mass.

Explanation:

Answer: TRUE

Explanation:

Who has so much time to measure the fμcking seeds?

(a) When the system does work on the surroundings, the change in the internal energy is - 700 J.

(b) When the surroundings performs work on the system, the change in the internal energy is 3,700 J.

The change in the internal energy of the system is determined by applying the first law of thermodynamics as shown below.

Mathematically, the formula for first law of thermodynamics is given as;

ΔU = Q ± W

where;

When the system does work on the surroundings, the equation is given as;

ΔU = Q - W

ΔU = 1500 J - 2200 J

ΔU = -700 J

When the surroundings performs work on the system, the equation is given as;

ΔU = Q + W

ΔU = 1500 J + 2200 J

ΔU = 3,700 J

Learn more about change in internal energy here: https://brainly.com/question/18721383

#SPJ1

The speed of the carts after collision will depend on their combined mass and initial velocity.

The collision between the two carts with different masses will result in the formation of a single object with a combined mass. The speed of the resulting object will depend on the momentum of the individual carts before the collision, which is determined by their mass and initial velocity.

The conservation of momentum principle states that the total momentum of the system before the collision is equal to the total momentum of the system after the collision. Therefore, the speed of the resulting object will be determined by the combined mass of the carts and their initial velocity before the collision.

The heavier cart will contribute more to the combined mass, and its initial velocity will have a greater impact on the resulting speed.

For more such questions on ,speed click on:

https://brainly.com/question/13943409

#SPJ11

(a) The minimum force F he must exert to get the block moving is 38.9 N.

(b) The acceleration of the block is 0.79 m/s².

The minimum force F he must exert to get the block moving is calculated as follows;

Fcosθ = μ(s)Fₙ

Fcosθ = μ(s)mg

where;

F = [0.1(36)(9.8)] / [(cos(25)]

F = 38.9 N

F(net) = 38.9 - (0.03 x 36 x 9.8) = 28.32

a = F(net)/m

a = 28.32/36

a = 0.79 m/s²

Thus, the minimum force F he must exert to get the block moving is 38.9 N.

The acceleration of the block is 0.79 m/s².

Learn more about minimum force here: https://brainly.com/question/14353320

#SPJ1

Answer:

0.00000009512

Explanation:

Scientific notation is a very useful and abbreviated way of writing quantities that are very large or small. It consists of placing the number with an integer and multiplying by an exponent to arrive at the same number.

let's pass the number 9,512 10⁻⁸ to decimal notation

       9,512 / 10⁸ = 9,512 / 100000000

        0.00000009512

As we see writing this number, it is very easy to make mistakes

Answer:

Explanation:

In the microscopic world of quantum mechanics, particles don't behave like familiar everyday objects. They can exist in multiple states simultaneously and behave as both particles and waves. When we try to measure or observe a particle, we typically use light or other particles to interact with it. However, this interaction can disturb the particle's state. Imagine trying to measure the position of an electron using light. Light consists of photons, and when photons interact with the electron, they transfer energy to it. This energy exchange causes the electron's position and momentum to become uncertain. The more precisely we try to measure its position, the more uncertain its momentum becomes, and vice versa. This is known as the Heisenberg uncertainty principle.

So, the act of observing a particle disturbs its state because the interaction between the observer and the particle affects its properties. The very act of measurement or observation introduces a level of uncertainty and alters the particle's behavior. It's important to note that this behavior is specific to the quantum world and doesn't directly translate to the macroscopic world we experience in our daily lives. Quantum mechanics operates at extremely small scales and involves probabilities and uncertainties that are not typically noticeable in our macroscopic observations.

To reduce the firction between two objects or surfaces we can use the following methods:

• Make the surfaces or objects smoother. This comes from the fact that if the material is rougher then it will produce more friction while if the material is smoother the friction will decrease.

• Lubricate the objects or surface. A lubricant can reduce the friction between two objects or surface.

• Reduce the contact between the object or surfaces. The more contact there is the more friction it will make; that's why we use round wheels.

The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.

Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.

Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.

Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.

To learn more about lights please visit -
https://brainly.com/question/16713206
#SPJ9