Oil having a density of 924 kg/m? floats onwater. A rectangular block of wood 3.59 cmhigh and with a density of 975 kg/m° floatspartly in the oil and partly in the water. Theoil completely covers the block.How far below the interface between thetwo liquids is the bottom of the block?Answer in units of m.

ANSWER

Figure 1

EXPLANATION

We want to identify the correct force diagram acting on the object on the inclined plane.

When an object is moving on an inclined plane, there are four forces acting on it:

1. Friction force, Fr

2. Normal force, FN

3. Component of weight acting parallel to the inclined plane = Wsinθ

4. Component of weight acting perpendicular to the inclined plane = Wcosθ

Therefore, the correct option is Figure 1.

The oscilloscope can be used to measure AC frequency by counting the number of complete waves (Option B).

An oscilloscope is a tool used to measure voltage by observing how the electrical signals from different types of waves may change over a given unit or period of time, which is useful to monitor a client's heartbeat and brain waves.

Therefore, with this data, we can see that an oscilloscope is a device used to measure waves (in this case brain waves) in order to indicate a given outcome associated with electrical signals.

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The velocityof the flowerpot when it strikes the ground is 26.04.

What is velocity.

velocity is the prime indicator of the position as  well as the rapidity of an  object. It can be  defined as distances covered by an object in unit of the time. velocity can  defined as the displacement of the object in unit of the time .

Sol- As we know when the object is simply falls it's initial velocity is 0.

Therefore u=0

Given question is flowerpot traveled 34.6 before striking the ground.

Therefore s=34.6

We have to find v?

v^2= u^2+2gs

v^2= 0+2gs

v=√2gs

v=√2×9.81×34.6

v=26.04

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Answer:

5 hours

Explanation:

distance/speed= time

1500/300= 5

Answer:

Explanation: We need to find the unit rate or rate of rolls per $1:

To find the number of rolls per one dollar we simply need to take the ratio of the two as follows:

Simplifying (1) gives the answer as follows:

The answer therefore is:

The given problem can be exemplified using the following diagram:

We will determine the magnitude of the force "F" that will balance the concentric wheels.

To do that we will add the torques produced by the forces. If the torque is counterclockwise we will set it a positive and if it is clockwise it will be negative.

Where:

The sum of toques adds up to zero because we want to determine the force "F" when the system is in equilibrium.

Now, we substitute the formula for the torques:

Where:

Now, we solve for the force "F":

First, we will add "Fr10" to both sides:

Now, we divide both sides by r10:

Now, we plug in the values:

Solving the operations:

Therefore, the required force is 72N.

Answer:

2 N s

Explanation:

Impulse = force * time

             = 2000 N  * .001 s = 2 N s

The time taken up to which the stone will be in the  air is 4.01 seconds.

Here we are dealing with free falling which is referred to as A free falling object is an object that's falling beneath the sole impact of gravity. Any object that's being acted upon as it were by the force of gravity is said to be in a state of free fall. As we are given the velocity which is 19.6 m/s and the height which is 59.4 m.

So the in the first case when the stone travels for a certain distance until its velocity becomes zero.

The formula we are referring to for calculating the maximum height which is v² = u² - 2gh , where v is the final velocity , u is the intial velocity  ,g is the acceleration due to gravity and  h is the height.

So at  v=0

=> h=  u²/2g

=> h = (19.6)2/( 2*9.8)= 19.6 m

Whereas when the stone starts to freely fall, so  

h = 1/2*gt², here the time taken will be, t = √(2h/g)

where h = sum of the height of the building and the height traveled after the throw

which is 19.6 m+59.4 =79

So , t = √(2h/g)

=>t = √2*(79) /9.8 = 4.01 second

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Answer:

Given,

Force = 441 N

mass = ?

Keep in mind that acceleration due to gravity is constant 10m/s.

Force = mass × acceleration due to gravity

mass = Force / acceleration due to gravity

m = 411 N /10m/s

m = 41.1 kg

Therefore her Jenny mass is 41.1 kg.

The linear distance and the tangential velocity of the end of the stick are 1.63 m and 10.9 m/s respectively.

Rotational motion is the motion of a body around a circular path, in a fixed orbit. The dynamics for rotational motion are entirely analogous to linear or translational dynamics. The equations for rotating objects are similar to the motion equations for linear motion.

Given, the length of the hockey stick, r = 1.1 m

The hockey stick completes one swing in time, t = 0.15 sec

The angle θ = 85° = 1.483 rad

The average angular velocity of the hockey stick,

ω = θ/t = 1.483rad/0.15s = 9.9 rad/s

The linear distance moved by the end of the hockey stick:

L = rθ = 1.1× 1.483 = 1.63 m

The tangential velocity of the end of the hockey stick:

v = rω = 1.1 × 9.9 = 10.9 m/s

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Each pound costs $1.2 in unit pricing.

Sally notes that the price of bananas in England is £2.10/kg.

Applying the exchange rate from dollars to British pounds (GBP), if $1 = £0.77, then £2.10 would be calculated as 2.10/0.77, or 2.72.

Using the pounds to kilograms conversion rate, 1 kilogram equals 2.2 pounds.

Consequently, the price per unit in dollars would be 2.72/2.2 = $1.236.

If we round to the nearest cent, the price per pound is $1.2.

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Rain falling from a cloud is not an example of energy transfer.

5x + y = 3.6 equation of a line going between (8, 43.6) and (4.5, 26.3).

Having independent properties for both size and direction, a quantity or phenomenon is referred to as a vector. The representation of a quantity in mathematics or geometry is another use of the term. In nature, vectors include things like force, momentum, weight, electromagnetic fields, and velocity.

Unit vectors are those that have a magnitude that is exactly one unit. They are quite useful for a variety of reasons. The unit vectors [0,1] and [1,0] in particular can be combined to create any other vector.

The slope of the line joining points A(8,43.6) and B(4.5,26.3) is given by the equation m= y2-y1/x2-x1=26.3-43.6/4.5-8 = 5.

Consequently, the equation for the line that is required is given by y-y1 = m. (x-x1)

y- 43.6 = 5(x-8) =5x + y = 3.6.

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The temperature increase of the 2 kg water if 400 kJ of energy is transferred is 47.62 °C

q = m c ΔT

q = Heat

m = Mass

c = Specific heat

ΔT = Change in temperature

q = 400 KJ

m = 2 kg

c = 4200 J/kg °C

ΔT = q / m c

ΔT = 400 * 10³ / 2 * 4200

ΔT = 47.62 °C

The quantity of heat energy required to change the temperature of particle by 1 °C is known as heat capacity. Specific heat capacity is the heat capacity is calculated for 1 gram of matter.

Therefore, the temperature increase of water is 47.62 °C

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ANSWER

Vertical rays

EXPLANATION

We have two types of rays from the sun: vertical rays (direct sunlight), which are those rays that hit the surface of Earth vertically, and slanted rays (indirect sunlight), which are those that hit the surface with an angle less than 90° with the surface. We can appreciate both in the following diagram,

As is shown in the diagram, direct sunlight hits the surface in a smaller area than indirect sunlight. This way, the vertical rays are more concentrated than slanted rays and, therefore, give more heat - note that the energy provided by those rays will be concentrated in a smaller area.

Hence, vertical rays give more heat from the sun.

Answer:

slanted rays that is correct

The scenario where a ball in motion describes balanced forces is 1, 3, and 4. That is option B.

Motion is defined as the movement of an object from one position to another with respect to time.

There are different type of motion which include the following:

When an object is in motion, the forces acting on them are said to be balanced when they are equal in magnitude and in opposite directions.

1N + 3N = 4N

This shows that the forces 1N + 3N which is equal to 4N are equal and opposite.

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Answer:

m = 3.8 kg

Explanation:

The weight can be calculated as follows:

Where m is the mass and g is the gravity. So, replacing the weight by 37 N and the gravity by 9.8 m/s², we get:

So, solving for m, we get:

Therefore, the answer is m = 3.8 kg

After thoroughly calculating we have come to find that, the tension in the string is 2.752 N

In physics, tension is defined as the pulling force transmitted axially by a string, cable, chain, or other similar object, or by each end of a rod, truss member, or other similar three-dimensional object.

Tension can also be defined as the action-reaction pair of forces acting at each end of the aforementioned elements. Compression's opposite, tension, is possible.

We know that

Tension = (Mass × gravity) / cos∅

Here given that

Mass = 0.280kg

Gravity = 9.8 m/s²

∅ = 4.2°  

Lets substitute the values and we get

Tension = (280g × 9.8 m/s²) / cos4.2°  

Tension = 2.752 N

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Full question

A tetherball leans against the smooth, frictionless

post to which it is attached (Figure 1). The string is

attached to the surface of the ball such that a line

along the string passes through the center of the

ball. The string is 1.40 m long, and the ball has a

radius of 0.110 m with mass 0.280 kg. What is the

tension in the string?

Given data

*A box weighs is N = 51.1 N

*The applied force is F = 6.30 N

The formula for the coefficient of friction between the box and the floor is given as

Substitute the known values in the above expression as

Hence, the coefficient of friction between the box and the floor is 0.123

We have the formula of Newton's second law

Where F is the force, m is the mass and a is the acceleration.

If we isolate the acceleration

As we can see if the mass increases the acceleration will decrease

Therefore the answer is FALSE

Answer:

30.5555°K

Can be rounded to 30.56°K

Explanation:

The relationship between °C and °K is
°K = °C + 273.15

To convert °F to °K, first convert °F to °C and then add 273.15

°C = (°F - 32) x 5/9

So combining the two conversions we get
°K = (°F - 32) x 5/9 + 273.15

55°F = (55-32) x 5/9 + 273.15 = 285.9278°K

110°F = (110-32) x 5/9 + 273.15 = 316.4833°K

Temperature range in Kelvin scale

= 316.4833°K - 285.9278°K = 30.5555°K

9038 kJ of heat is absorbed by the air assuming some air escapes through the cracks as the heated air in the house expands at constant pressure, and cost of this heat if the unit cost of electricity in that area is $0.075/kWh is $0.19.

In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a point within a confined fluid.

A 42-pound box with a bottom area of 84 square inches will press down on a surface with a pressure equal to the force divided by the area over which it is applied, or half a pound per square inch.

The specific heat of air at room temperature is

[tex]C_p[/tex] = 1.007 kJ/kg⋅°C              

The volume and mass of the air in the house are

V = Floor space × height

   = (200 m² )(3m)

   = 600 m ³

Mass = PV/RT

         = [tex]\frac{(1013 kPa)(600 m^3 )}{(0287 kPa.m/kg.K)(10+273.15 K)}[/tex]

         = 7479 kg

The amount of heat that must be transferred to the air in the house as it is heated from 10 to 22°C is calculated, taking into account that the pressure in the house remains constant during heating, as follows:

Q = [tex]mC_p[/tex] [tex](T_2 - T_1)[/tex]

   = (747.9 kg)(1.007 kJ/kg⋅ °C)(22 – 10) °C

   = 9038 kJ

Noting that 1 kWh = 3600 kJ, the cost of this electrical energy at a unit cost of $0.075/kWh is

Enegy Cost = (Energy used)(Unit cost of energy)

                    = (9038/3600 kWh)($0.075/kWh)

                    =  $0.19

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The Sun is composed of helium and hydrogen. Option C.

The photosphere chromosphere and corona are all part of the Sun's atmosphere. Although the corona is sometimes called the solar atmosphere it is actually the sun's upper atmosphere. The sun's atmosphere includes features such as sunspots, coronal holes, and solar flares the sun is a star.

It's a huge spinning ball of hot gas. The sun is like a star in the night sky. Because we are so close it appears much larger and brighter than other stars. The sun is the center of the solar system and accounts for most of the mass of the solar system. Compared to the billions of other stars in the universe, the sun stands out. But for the Earth and the other planets orbiting around it, the Sun is a powerful focal point.

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Given data:

The work done is given as,

Putting all known values,

Therefore, 24 mJ of the work is done.

Given:

Coal-fired power plant

Required:

Energy transformation in coal-fired power plant.

Explanation:

Coal has chemical energy.

When the coal is heated, the chemical energy transforms into thermal energy.

Thermal energy is used to rotate the blade of the turbine, so thermal energy transforms into mechanical energy.

The rotating blades produce electricity, so mechanical energy transforms into electrical energy.

Final Answer: The energy transformation of a coal-fired power plant is chemical to thermal to mechanical to electrical.

The cannon ball will travel the highest distance when the angle of projection is 35 degrees.

The maximum height reached by a projectile is calculated using the following formula.

H = u²sin²θ/2g

where;

when the angle of projection is 25 degrees;

H = (25² (sin 25)²) / (2 x 9.8)

H = 5.7 m

when the angle of projection is 35 degrees;

H =  (25² (sin 35)²) / (2 x 9.8)

H = 10.5 m

Thus, the cannon ball will travel the highest distance when the angle of projection is 35 degrees.

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Resistance 100

Current 4.2A

Based on the information of the last point, we know the current and now we have the resistance. With these two numbers we can calculate the drop of voltage generated by the resistance.

Is important to highlight that we asume the same current for each line because the current is constant in all the parallel lines.

We will have that as long as the object is a conductor it will be able to have a net negative charge of 2.00*10^-9 C.