what is specific gravity​

(a) The molar heat capacity at pressure is 29.1 J/K.mol.

(b) The molar heat capacity at volume is 20.785 J/K.mol.

Molar heat capacity of a gas at constant volume is defined as the quantity of heat required to raise the temperature of one mole of the gas by 1 degree Kelvin when its volume is constant.

Cv = R/(γ - 1)

where;

Cv = (8.314) / (1.4 - 1)

Cv = 20.785 J/K.mol

Molar heat capacity of a gas at constant volume is defined as the quantity of heat required to raise the temperature of one mole of the gas by 1 degree Kelvin when its pressure is constant.

γ = Cp/Cv

Cp = γCv

Cp = 1.4 x 20.785

Cp = 29.1 J/K.mol

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Jonathan needs to maintain a separation of 0.543 mm between the plates to get the desired charge, and a dielectric constant of 92.6 to achieve a separation of 5 mm with a dielectric.

(a) Using the equation Q = CV, where Q is the charge, C is the capacitance, and V is the voltage, we can solve for the capacitance: C = Q/V =\((8.15 x 10^-9 C) / (50 V) = 1.63 x 10^-10 F.\)

Then, using the formula for capacitance of parallel plate capacitors: C = ε0A/d, where ε0 is the permittivity of free space, A is the area of the plates, and d is the separation distance, we can solve for the separation distance: d =\(_{3}OA/C = (8.85 x 10^-12 F/m) x (0.01 m^2) / (1.63 x 10^-10 F) = 0.543 mm.\)

(b) To find the dielectric constant, we can use the formula for capacitance of a parallel plate capacitor with a dielectric: C = εrε0A/d, where εr is the relative permittivity or dielectric constant of the material. Solving for εr, we get: εr = Cd / ε0A = \((1.63 x 10^-10 F)\) x (0.005 m) / \((8.85 x 10^-12 F/m)\) x \((0.01 m^2)\) = 92.6.

Therefore, Jonathan should use a dielectric with a relative permittivity of 92.6 to achieve a separation of 5 mm.

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The volume of the vegetable oil is  0.00003998 m³.

The density of vegetable oil,

ρ = 913 kg/m³

The mass of vegetable oil,

m = 0.0365 kg

To find: The volume of the vegetable oil, V Solution: The density of any substance is defined as the mass of the substance per unit volume.

The formula for density is:

ρ = m/V

where, ρ is the density of the substancem is the mass of the substance V is the volume of the substance We can rearrange the above formula to find the volume of the substance:

V = m/ρSubstituting the given values of mass and density in the above formula,

We get:

V = 0.0365 kg / 913 kg/m³ = 0.00003998 m³ (approx)

Therefore, the volume of the vegetable oil is approximately 0.00003998 m³.

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Answer:

30 degrees

Explanation:

Reflects off of mirror 1  at   60 degrees....this makes it incident to second mirror at 30 degrees ....then angle of reflection equals this angle of incidence = 30 degrees

See atached diagram

Answer:

True

Explanation:

Answer:

Choice E.

Amplitude: \(20\; {\rm cm}\).

Frequency: \(2\; {\rm Hz}\).

Explanation:

The amplitude of a simple harmonic motion (SHM) is the maximum displacement from equilibrium.

In this question, the equilibrium is in the center of the two extremes. With one extreme at \(x = 10\; {\rm cm}\) and the other at \(x = 50\; {\rm cm}\), the center will be at \((1/2)\, (10 + 50)\; {\rm cm} = 30\; {\rm cm}\).

The maximum displacement will be \((50\; {\rm cm} - 30\; {\rm cm}) = 20\; {\rm cm}\) (or equivalently, \((30\; {\rm cm} - 10\; {\rm cm}) = 20\; {\rm cm}\).

Frequency measures the number of cycles completed in unit time (e.g., one second.) In one full cycle of an SHM, the oscillator will travel from one extreme to another and then back to the original extreme. In this question:

In other words, one full cycle of this SHM will take \(0.25\; {\rm s} + 0.25\; {\rm s} = 0.50\; {\rm s}\). The period of this SHM will be \(0.50\; {\rm s}\). Hence, the frequency of this SHM will be:

\(\begin{aligned} (\text{frequency}) &= \frac{1}{(\text{period})} \\ &= \frac{1}{0.50\; {\rm s}} \\ &= 2\; {\rm Hz}\end{aligned}\).

The velocity of the punk at time t = 1.5 s is equal to 2.47 m/s.

The object will have two velocities during the projectile motion, one is horizontal velocity and the other is vertical velocity. The horizontal velocity of the object is constant throughout the projectile motion but the vertical velocity is changed in the projectile motion.

Given that the velocity vector is making an angle θ with a horizontal table, θ = 35°

The vertical component of the velocity of the puck can be determined as:\(u_x = u Sin 35^o = 3.60 \times 0.573 =2.06 m/s\)

The horizontal component of the velocity of the puck can be determined as:

\(u_y = u cos 35^o = 3.60 \times 0.82=2.95 m/s\)

Given the acceleration aₓ = -0.360 m/s² and a y = -0.980 m/s²

The final vertical components of the velocity of the punk are:

\(v_x = u_x + a_xt\)

\(v_x = 2.95 - (0.360) (1.5)\\v_x = 2.41 m/s\)

and, the horizontal velocity of the punk is:

\(v_y = u_y +a_yt\\v_y = 2.06 - (0.980) (1.5)\\v_y = 0.59 m/s\)

The velocity of the punk can be determined as:

\(v = \sqrt{v_x^2 + v_y ^2}\\ v =\sqrt{(5.80)^2 + (0.35)^2}\\ v = 2.47 m/s\)

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A bicycle traveling at an average speed of 2 mi./s will be take time 0.031 seconds to travel a distance of 100 m.

The average speed of 2 mi./s cannot be used to calculate the time required to travel a distance of 100 m because the units are not consistent.

To solve this problem, we need to convert the speed from miles per second to meters per second, as follows:

1 mile = 1609.34 meters

1 second = 1 second

Therefore, 2 mi./s can be converted to meters per second as:

2 mi./s * 1609.34 m/mi = 3218.68 m/s

Now we can use the formula

distance = speed × time

to find the time required to travel 100 m at this speed:

time = distance / speed

time = 100 m / 3218.68 m/s

time=0.031 s

Therefore, a bicycle traveling at an average speed of 2 mi./s would take approximately 0.031 seconds to travel a distance of 100 m.

The complete questions is,

How much time is required for a bicycle to travel a distance of 100 m at an average speed of 2 mi./s?

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Answer:

a. 50 m/s b. 0 m/s c. 50 m/s d. 4.04 s e. -39.6 m/s f. 63.78 m/s g. 202 m

Explanation:

a. What is the initial horizontal velocity?

Since the object is launched horizontally, it initial horizontal velocity is 50 m/s

b. What is the initial vertical velocity?

Since the object is launched horizontally, it has no initial vertical component. So, its initial vertical velocity is 0 m/s

c. What is the final horizontal velocity?

Its final horizontal velocity is 50 m/s since no force acts on it in the horizontal direction to change its value.

d. How much time did it take for the object to hit the ground?

We use the equation s = ut - 1/gt² since the object is falling under gravity where u = initial vertical velocity = 0 m/s, s = height of cliff = 80 m, g = acceleration due to gravity = -9.8 m/s² and t = time it takes the object to hit the ground.

s = ut - 1/2gt²

80 m = 0 × t - 1/2 × -9.8 m/s² × t²

80 m = 4.9 m/s² × t²

t² = 80 m ÷ 4.9 m/s²

t² = 16.33 s²

t = √(16.33 s²)

t = 4.04 s

e. What is the final vertical velocity?

Using v = u + at where u = initial vertical velocity = 0 m/s, v = final vertical velocity, a = acceleration = -g =  -9.8 m/s²and t = time it takes object to reach the ground = 4.04 s.

Substituting these values into the equation, we have

v = u + at

v = 0 m/s + (-9.8 m/s²) × 4.04 s

v = -39.6 m/s

f. What is the final resultant speed?

The final resultant speed v' is the resultant of the final horizontal velocity and the final vertical velocity. Let u' = final vertical velocity = 50 m/s.

v' = √(u'² + v²)

v' = √((50 m/s)² + (-39.6 m/s)²)

v' = √(2500 m²/s² + 1568.16 m²/s²)

v' = √(4068.16 m²/s²)

v' = 63.78 m/s

g. How far from the base of the cliff will the projectile land?

The distance from the base of the cliff, d where the projectile lands is

d = u't where u' = horizontal velocity = 50 m/s and t = time it takes object to land = 4.04 s

d = 50 m/s × 4.04 s

d = 202 m

Answer:

0

Explanation:

it takes 84 years for Uranus to orbit the Sun. It only takes 12 years for Jupiter to orbit the Sun. So technically by the time that Jupiter finishes it's one, Uranus will not be able to even finish half of its orbit.

Answer:

C. Solids,Liquids, Gases

The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)

Pressure (P) = Density (ρ) × g × Depth (h)

Given: Density of water (ρ) = 1000 kg/m³

Acceleration due to gravity (g) = 9.8 m/s²

Depth (h) = 6 m

Using the given values, one can calculate the pressure:

Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure

= 58800 kg·m⁻¹·s⁻²

Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:

Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)

Pressure = 580.124 atm

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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.

Answer:

Scintillators are materials that are able to convert high energy radiation such as X or gamma-rays to a near visible or visible light. They are widely used as detectors in medical diagnostics, high energy physics and geophysical exploration (ref. Knoll).

https://web.stanford.edu › scintillators

What are scintillator materials? - Stanford: Advanced Optical Ceramics Laboratory

Every action have equal and opposite reaction. for example when we fire bullet from a gun, the gun will recoil back and bullet moves forward. In case of rocket, rocket is fired, thrust is reaction of force applied by the gas on the floor.

A push or a pull that an object experiences as a result of interacting with another item is known as a force. Interactions result in forces! As was covered in Lesson 2, certain forces are the result of contact interactions (reaction, frictional, tensional, and applied forces are examples of contact forces), whilst other forces (gravitational, electrical, and magnetic forces) are the consequence of action-at-a-distance interactions. Newton postulated that whenever objects A and B interact, they exert forces on one another. You put a downward force on the chair when you sit on it, and the chair responds by exerting an upward force on your body. This contact creates two forces: one force on the chair and one force on your body.

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Answer:

39.26 s

Explanation:

From the question given above, the following data were obtainedb

Initial velocity (u) = 6 m/s

Acceleration (a) = 1.9 m/s²

Distance travelled (s) = 1700 m

Time (t) =?

Next, we shall determine the final velocity of the plane. This can be obtained as follow:

Initial velocity (u) = 6 m/s

Acceleration (a) = 1.9 m/s²

Distance travelled (s) = 1700 m

Final velocity (v) =?

v² = u² + 2as

v² = 6² + (2 × 1.9 × 1700)

v² = 36 + 6460

v² = 6496

Take the square root of both side

v = √6496

v = 80.6 m/s

Finally, we shall determine the time taken before the plane lifts off. This can be obtained as follow:

Initial velocity (u) = 6 m/s

Acceleration (a) = 1.9 m/s²

Final velocity (v) = 80.6 m/s

Time (t) =?

v = u + at

80.6 = 6 + 1.9t

Collect like terms

80.6 – 6 = 1.9t

74.6 = 1.9t

Divide both side by 1.9

t = 74.6 / 1.9

t = 39.26 s

This, it will take 39.26 s before the plane lifts off.

Answer:

Explanation:

a )

one rotation per 24 hours

Time period of rotation of the earth T =  time / no of rotation

T = 24 x 60 x 60 s / 1

= 86400 s .

b )

angular velocity = angle of rotation in radian / time

in one rotation , angle made at the centre = 2π radian

= 2 x 3.14 radian

angular velocity ω = 2π / T

= 2 x 3.14 / 86400  radian / s

= 72.68 x 10⁻⁶ radian / s

c )

Relation between linear and angular velocity is as follows

v = ω  x R where R is radius of the earth and v is linear velocity .

linear velocity = 72.68 x 10⁻⁶ x 6.4 x 10⁶ m /s

= 465.152 m /s

=

Answer:

Here u go

Explanation:

Answer:

3ft/s²

Explanation:

\(a = \frac{60 - 45}{5} = 3ft \div {s}^{2} \)

The spontaneous drying of leaves occurs due to the loss of moisture through evaporation, primarily facilitated by transpiration and environmental factors such as temperature, humidity, and airflow. Aging and senescence also contribute to the process.

The spontaneous process of drying leaves, also known as desiccation, is a natural occurrence that takes place as a result of various factors. Primarily, it involves the loss of moisture from the leaf tissues through evaporation. Leaves have specialized structures called stomata, small openings on their surfaces, which facilitate the exchange of gases, including water vapor.

When environmental conditions such as high temperature, low humidity, and increased airflow prevail, water molecules escape through the stomata into the surrounding air. This process, called transpiration, plays a significant role in leaf drying. Additionally, sunlight accelerates the rate of evaporation by providing energy to convert water into vapor.

As moisture content decreases, the cell walls of the leaf tissues contract, causing the leaf to become dehydrated and eventually dry. The process is also influenced by the plant's natural aging and senescence, where the leaf undergoes programmed cell death.

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Answer:

(a) The value of the ratio m₁/m₂ is 0.581

(b)  the acceleration of the combined masses is 1.139 m/s²

Explanation:

Given;

The acceleration of force applied to M₁, a₁ = 3.10 m/s²

The same force applied to M₂ has acceleration, a₂ = 1.80 m/s²

Let this force = F

According Newton's second law of motion;

F = ma

(a) the value of the ratio m₁/m₂

since the applied force is same in both cases,  M₁a₁ = M₂a₂

\(\frac{m_1}{m_2} = \frac{a_2}{a_1} \\\\\frac{m_1}{m_2} = \frac{1.8}{3.1} \\\\\frac{m_1}{m_2} = 0.581\)

(b) the acceleration of m₁ and m₂ combined as one object under the action force F

F = ma

\(a = \frac{F}{M} \\\\a = \frac{F}{m_1 + m_2} \\\\a = \frac{F}{0.581m_2 + m_2}\\\\a = \frac{F}{1.581m_2}\)

\(But, m_2 = \frac{F}{a_2} \\\\a = \frac{F}{1.581m_2} = \frac{F*a_2}{1.581F} \\\\a = \frac{a_2}{1.581} \\\\a = \frac{1.8}{1.581} = 1.139 \ m/s^2\)

Therefore, the acceleration of the combined masses is 1.139 m/s²

a. The value of the ratio is 0.581.

b. The acceleration should be \(1.139 m/s^2\)

Since

The acceleration of force applied to \(M_1,a_1 = 3.10 m/s^2\)

The same force applied to\(M_2\) has acceleration, \(a_2 = 1.80 m/s^2\)

Here we assume force be F

Now we know that

F = ma

a. The ratio should be

\(m_1\div m_2 = a_2\div a_1\\\\m_1\div m_2 = 1.8\div 3.1\)

= 0.581

b.  The acceleration should be

f = ma

a = F/m

\(a = f/m_1+m_2\\\\= F/0.581 + m_2\\\\=F/1.581m_2\)

However \(m_2 = F/a_2\)

So,

\(a = F\div 1.581m_2\\\\= f\times a_2/1.581F\\\\= a_2/1.581\\\\= 1.8/1.581\\\\= 1.139 m/s^2\)

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Answer:

For \(a > 0\), at \(t = a \; \text{second}\), the particle should have a velocity of \(\displaystyle -\frac{8}{a^3}\; \rm m \cdot s^{-1}\).

Explanation:

Differentiate the displacement of an object (with respect to time) to find the object's velocity.

Note that the in this question, the expression for displacement is undefined (and not differentiable) when \(t\) is equal to zero. For \(t > 0\):

\(\begin{aligned}v &= \frac{\rm d}{{\rm d}t}\, [s] = \frac{\rm d}{{\rm d}t}\, \left[\frac{4}{t^2}\right] \\ &= \frac{\rm d}{{\rm d}t}\, \left[4\, t^{-2}\right] = 4\, \left((-2)\, t^{-3}\right) = -8\, t^{-3} =-\frac{8}{t^3}\end{aligned}\).

This expression can then be evaluated at \(t = 1\), \(t = 2\), and \(t = 3\) to obtain the required results.

Answer:

Inclined Plane

Explanation:

Answer:

c. turn downward

Explanation:

From the information given:

To find the tendency of the sander;

We need to apply the right-hand rule torque; whereby we consider the direction of the flywheel, the direction at which the torque is acting, and the movement of the sander toward the right.

Since the flywheel of the sander is in counterclockwise movement, hence the torque direction will be outward placing on the wall. However, provided that the movement of the sander is toward the right, then there exists an opposite force that turns downward which showcases the tendency in the sander is downward.

Answer:

29.4 kW

Explanation:

time t = 10 s, height h = 30 m, mass m = 1,000 kg

power output = work done/time

work done = increase in potential energy = mgh = 1,000 * 9.8 * 30 = 294,000 J = 294 kJ

power output = 294/10 = 29.4 kW

Answer:

20.0086

Answer:

20.0086

Explanation:

Acellus

Answer:

88.23 m/s

Explanation: The equation for speed is s=d/t so in other words, speed equals distance over time so the distance is 1500 and the time is 17 seconds so you just devide 1500 by 17 and you get the speed. Remember to include your unit m/s after your answer

The cannon's forward post-explosion velocity is 6.18 m/s.

Momentum is the force necessary to bring an item to a complete halt in a unit of time and is determined by multiplying an object's mass by its velocity. The overall momentum is equal to the sum of the individual momenta for any array of multiple objects.

Total momentum before = Total momentum after

(3.5 kg + 0.52 kg) × 1.27 m/s = 3.5 kg × v_cannon + 0.52 kg × 75 m/s

where v_cannon is the velocity of the cannon after the explosion.

Simplifying and solving for v_cannon, we get:

v_cannon = (0.52 kg × 75 m/s - (3.5 kg + 0.52 kg) × 1.27 m/s) / 3.5 kg

v_cannon = 6.18 m/s.

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