A 3.0 cm sphere 4.0 cm3 cone.6.0emd cube and a 5.0 cm pyramid are used in a dynamics lab activity The specific gravity for each of these objects is as follows: sphere (0.90) cone (0.70), cube (0.40) and pyramid (0.60) Rank these objects in order of their resistance to change in motion (from greatest to least).A. pyramid, cone, sphere, cube B. cube, pyramid, cone, sphere C. sphere, cone, pyramid, cube D. None of the above.

Answer:

the anwser is 480 N for the answer hope this helped

The acceleration of the person of 60 kg jumping with a velocity of 2 m/s in 0.25 seconds is 8 m/s². Then the force exerted on the feet is 480 N.

Force is an external agent acting on a body, to change its motion. Force is a vector quantity. Hence, it is characterized by a direction and magnitude. There are various kinds of forces such as gravitational force, magnetic force, frictional force etc.

According to Newton's second law of motion, force is the product of mass and acceleration of the body. The acceleration of a moving object is the rate of change in velocity.

given v = 2 m/s

time t = 0.25 s

then a = v/t = 2/0.25 = 8 m/s²

then, force F = m a

F = 60 kg × 8 m/s² = 480 N.

Therefore, the force exerted on his feet is 480 N.

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The heaviest liquid is mercury. In order to equalize the air pressure, it only climbs 76 cm. Water will rise to a 13.6 because it is 13.6 times lighter than mercury. By a factor of 13.6, mercury is 13.6 times denser than water.

Therefore, the barometer's height would be 13.6 times higher if water were employed in place of mercury. Since water expands when it freezes, the glass tube would be broken.

Because of its high density, mercury is frequently employed in barometers, allowing for a column height that is appropriate for measuring atmospheric pressure. For example, a mercury barometer would need to be 13.6 times taller than a water barometer to measure the same change in pressure.

This is the primary justification for using mercury in thermometers. Mercury will provide accurate readings in comparison to water since it lacks the condensation property that water possesses. Mercury can be used to measure both negative and positive temperatures, whereas water cannot be used to measure either.

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Answer:

D

the wavelength is the speed divide by the frequency

Answer:

The ratio is   \(\frac{T_1}{T_2}  = 3.965  \)

Explanation:

From the question we are told that

   The  radius of Phobos orbit is  R_2 =  9380 km

    The radius  of Deimos orbit is  \(R_1  =  23500 \  km\)

Generally from Kepler's third law

    \(T^2 =  \frac{ 4 *  \pi^2 *  R^3}{G * M  }\)

Here M is the mass of Mars which is constant

        G is the gravitational  constant

So we see that \(\frac{ 4 *  \pi^2  }{G * M  } =  constant\)

    \(T^2 = R^3   *  constant \)      

=>  \([\frac{T_1}{T_2} ]^2 =  [\frac{R_1}{R_2} ]^3\)

Here \(T_1\) is the period of Deimos

and  \(T_1\) is the period of  Phobos

So

      \([\frac{T_1}{T_2} ] =  [\frac{R_1}{R_2} ]^{\frac{3}{2}}\)

=>    \(\frac{T_1}{T_2}  =  [\frac{23500 }{9380} ]^{\frac{3}{2}}]\)

=>    \(\frac{T_1}{T_2}  = 3.965  \)

The given values are:

We know the formula,

→ \(v = \frac{2 \pi r}{T}\)

then,

→ \(\sqrt{\frac{GM_{mars}}{r} } =\frac{2 \pi r}{T}\)

or,

→              \(T = 2 \pi \sqrt{\frac{r^3}{GM_{mars}} }\)

Now,

The orbital period of Deimos will be:

                   \(= 2 \pi \sqrt{\frac{(23500)^3}{GM_{mars}} }\)

The orbital period of Phobos will be:

                   \(= 2 \pi \sqrt{\frac{(9380)^3}{GM_{mars}} }\)

hence,

The ratio will be:

→ \(\frac{T_{deimos}}{T_{Phobos}}\) = \(\frac{2 \pi \sqrt{\frac{(23500)^3}{GM_{mars}} } }{2 \pi \sqrt{\frac{(9380)^3}{GM_{mars}} }}\)

             = \(\sqrt{(\frac{23500}{9380})^3 }\)

             = \(3.96\)

Thus the above answer is correct.

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Potholder should have high insulation and low conductivity, therefore the correct answer is the option B

Insulation is a type of material used to create barriers to the transmission of the form of energy which either is in form of heat or electricity.

For outdoor trips in cold weather, several thin layers act as better insulating barriers for heat transfer.

The ability of an electric charge or heat to pass through a material is measured by its conductivity. A material is considered a conductor if it offers very little resistance to the flow of thermal or electric energy.

Thus, Potholders should be highly insulated and have low conductivity, therefore the correct answer is the option B

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your question seems incomplete, the complete question is

To be effective, a pot holder should have low _____. viscosity conductivity malleability density

Answer:

1. 2160 J

2. 2940 J

3. 64 J

Explanation:

1. Determination of the work done.

Weight (W) = 180 N

Height (h) = 12 m

Workdone =?

Wd = W × h

Wd = 180 × 12

Wd = 2160 J

Thus, the Workdone is 2160 J

2. Determination of the work done.

Mass (m) = 50 Kg

Height (h) = 6 m

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

Workdone =?

Wd = mgh

Wd = 50 × 9.8 × 6

Wd = 2940 J

Thus, the Workdone is 2940 J

3. Determination of the work done.

Force (F) = 16 N

Distance (d) = 4 m

Workdone =?

Wd = F × d

Wd = 16 × 4

Wd = 64 J

Thus, the Workdone is 64 J

The velocity of the ball is 19.6 m/s and when the ball lands, it is moving at a speed of 77.134 m/s.

All objects with mass are subject to gravity, which is a fundamental force of nature. It is the force that pulls everything toward the core of a planet or other entity.

(a) The equation can be used to determine the velocity of a dropped ball.

v = v0 + a * t

where a is the acceleration caused by gravity (9.8 m/s2), v0 is the beginning velocity (0 in this case because the ball is dropped from rest), and t is the amount of time that has passed.

Therefore, if t = 2 seconds, the ball's velocity at that time would be:

v = 0 + 9.8 * 2 = 19.6 m/s

(b) The ball's final velocity is identical to its velocity when it lands. The following equation can be used to determine how long it takes the ball to touch the ground:

t = √(2h / a)

where a is the acceleration brought on by gravity (9.8 m/s2) and h is the height (in this case, 300 m) from which the ball is dropped.

Thus, the duration of time required for the ball to touch the ground is:

t = √(2 * 300 / 9.8) = √(600 / 9.8) = √(61.22) = 7.83 s

The formula: can be used to determine the ball's velocity when it lands.

v=v0 + a*t = 0 + 9.8 * 7.83 = 77.134 m/s

So, when the ball lands, it is moving at a speed of 77.134 m/s.

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Answer:C: The gravity on the moon is less than the gravity on Earth.

Explanation:

Answer:

There are almost 5000 known mineral species, yet the vast majority of rocks are formed from combinations of a few common minerals, referred to as “rock-forming minerals”.

The speed of the ambulance is 33.35 m/s and the frequency heard after the ambulance passes is 667.07 Hz.

Calculation:-

V = f(344 - 15.6/344 - vs)

740 = 700(344 - 15.6/344 - vs)

344 - V s = 70/74 (344 - 15.6)

344 - V s = 310.64

  V s = 33.35 m/s

After pass

F = 700 ( 344 + 15.6/344 + 33.35)

   = 700 × 359.6/377.35

 F = 667.07 Hz

Frequency is the wide variety of occurrences of a repeating event in line with a unit of time. The time period frequency refers to the variety of waves that pass a set factor in unit time. It additionally describes the number of cycles or vibrations undergone for the duration of one unit of time with the aid of a body in periodic motion.

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Answer:

The angle formed of the rope with the surface = 40°

Force applied = 125Newtons

The displacement covered by the box =25metres

W= FDcos theta

[125×40×cos(40°) ] Joules

= [ (3125×0.76604444311)]Joules

= 2393.88888472 joules(ans)

Hope it helps

Q1. What is the chemical equation for the reaction between hydrogen and chlorine?

A1. The chemical equation for the reaction between hydrogen and chlorine is 2H2 + Cl2 → 2HCl.

Generally, A chemical equation is a symbolic representation of a chemical reaction where the reactants are written on the left side of an arrow and the products are written on the right side. The arrow indicates the direction in which the reaction takes place.

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In the divergence theorem, F refers to a vector field. The theorem relates a surface integral of the vector field to a volume integral of its divergence over a solid region.

The divergence theorem, also known as Gauss's theorem, relates a surface integral of a vector field to a volume integral of its divergence over a solid region. It is expressed mathematically as:

∫∫(F · dA) = ∫∫∫ (div F dV)

where F is a vector field, div F is its divergence, ∫∫ represents the surface integral over a closed surface, and ∫∫∫ represents the volume integral over the solid region enclosed by the surface. So F refers to a vector field.

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Answer:

2.5×10¹⁹

Explanation:

4 C/s × (1 electron / 1.60×10⁻¹⁹ C) = 2.5×10¹⁹ electrons/second

Answer: a

Explanation:

Answer: The mass of the second sphere is 8.76 kg

Explanation:

The equation for a perfectly inelastic collision follows:

\(m_1u_1+m_2u_2=(m_1+m_2)v\)

where,

\(m_1\text{ and }u_1\) are the mass and initial velocity of first sphere

\(m_2\text{ and }u_2\) are the mass and initial velocity of second sphere

v = final velocity of the system

We are given:

\(m_1=4.38kg\\u_2=0m/s\\v=\frac{u_1}{3}\)

Rearranging the above equation, we get:

\(m_1u_1-m_1v=m_2v\\\\m_2=m_1\frac{u_1-v}{v}\\\\m_2=m_1(\frac{u_1}{v}-1)\)

Plugging values in the above equation, we get:

\(m_2=4.38(\frac{3u_1}{u_1}-1)\\\\m_2=(4.38\times 2)=8.76kg\)

Hence, the mass of the second sphere is 8.76 kg

The liquid's surface tension in N/m is determined as 0.25 N/m.

Surface tension is defined as the property of the surface of a liquid that allows it to resist an external force, due to the cohesive nature of its molecules.

Mathematically, the formula for surface tension of a liquid is given as;

γ = F/L

γ = F/2x

where;

From Hooke's law, the force applied on an elastic material is directly proportional to the extension of the material.

F = kx

where;

The final equation for the surface tension of the liquid film becomes;

γ = F/2x

γ = kx/2x

γ = k/2

γ = (0.5 N/m) / 2

γ = 0.25 N/m

Thus, the surface tension of a liquid depends on the applied force and length of the liquid surface.

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Answer:

Explanation:

The magnitude of the force can be found by using the formula

\(f = \frac{w}{d} \\ \)

w is the workdone

d is the distance

From the question we have

\(f = \frac{720}{12} = 60 \\ \)

We have the final answer as

Hope this helps you

a) The limiting angle of resolution is  0.039°

b) The color that should be chosen to give the smallest possible angle of resolution is blue light with a wavelength of 486 nm, and the angle of resolution is 0.030°.

c) The resolving power is improved and the minimum resolvable angle is 0.026°

The limiting angle of resolution is calculated using the following equation: θ = 1.22 * (λ/d), where λ is the wavelength of the light used (579 nm) and d is the diameter of the objective lens (9.10 mm). Plugging these values into the equation gives a limiting angle of resolution of 0.039°. To give the smallest possible angle of resolution, you should choose the light of a shorter wavelength, such as blue light (400 nm). The angle of resolution in this case would be 0.030°.The presence of water in the space between the object and the objective lens improves the resolving power. This is because the refractive index of water is higher than air, which means the light is bent more when it passes through the water. This in turn reduces the limiting angle of resolution to 0.026°.

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The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.

It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.

Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.

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Answer:

The number of atoms is the same in the reactants and in the products, and the total mass is the same in the reactants and in the products.

The equivalent mass flow rate of water is 3400 kg/s (to the nearest whole kg/s) when it flows through a pipe with a flow rate of 3.4 m³/s at 4°C.

To calculate the equivalent mass flow rate of water, we can use the formula:

Mass flow rate = Density * Volume flow rate

First, we need to find the density of water at 4°C. The density of water at this temperature is approximately 1000 kg/m³.

Given that the flow rate of water is 3.4 m³/s, we can now calculate the mass flow rate:

Mass flow rate = 1000 kg/m³ * 3.4 m³/s

Mass flow rate = 3400 kg/s

Therefore, the equivalent mass flow rate of water in the pipe is 3400 kg/s (to the nearest whole kg/s).

Explanation:

The mass flow rate represents the amount of mass passing through a given point in a system per unit of time. In this case, we are calculating the mass flow rate of water flowing through a pipe. By multiplying the density of water (in kg/m³) with the volume flow rate (in m³/s), we can determine the mass flow rate (in kg/s). This value represents the mass of water passing through the pipe every second.

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Answer:

acc to formula= F= G m1m2/rsq

mass of Uranus= F×r sq/G×m

M=3.00×10^25×761.4×761.4×10^6/6.67×10^ -11×3.01×10^21

=3×10^25-8×7614×7614/667×301×10^-2-11+21-2

=173918988×10^11/200767

=866×10^11(approx)

Answer:

Oscillation whose amplitude reduce with time are called damped oscillation. This happen because of the friction. In oscillation if its amplitude doesn't change with time then they are called Undamped oscillation

Damped and undamped vibration refer to two different types of vibrations. The main difference between damped and undamped vibration is that undamped vibration refer to vibrations where energy of the vibrating object does not get dissipated to surroundings over time, whereas damped vibration refers to vibrations where the vibrating object loses its energy to the surroundings.

Answer:

Below in the picture:-

I hope it helps.

An externality, sometimes called a spillover, occurs when an exchange between a buyer and seller has an impact on a third party who is not part of the exchange. Externalities can be positive or negative

Externalities refers to situations when the effect of production or consumption of goods and services imposes costs or benefits on others which are not reflected in the prices charged for the goods and services being provided.

Externalities Private markets offer an efficient way to put buyers and sellers together and determine what goods are produced, how they are produced, and who gets them. The principle that voluntary exchange benefits both buyers and sellers is a fundamental building block of the economic way of thinking. But what happens when a voluntary exchange affects a third party who is neither the buyer nor the seller?

Externalities can be negative or positive. If you hate country music, then having it waft into your house every night would be a negative externality. If you love country music, then what amounts to a series of free concerts would be a positive externality.

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Answer:

a) 20.29N

b) 19.43N

c) 15N

Explanation:

To find the magnitude of the resultant vectors you first calculate the components of the vector for the angle in between them, next, you sum the x and y component, and finally, you calculate the magnitude.

In all these calculations you can asume that one of the vectors coincides with the x-axis.

a)

\(F_R=(9cos(30\°)+12)\hat{i}+(9sin(30\°))\hat{j}\\\\F_R=(19.79N)\hat{i}+(4.5N)\hat{j}\\\\|F_R|=\sqrt{(19.79N)^2+(4.5N)^2}=20.29N\)

b)

\(F_R=(9cos(45\°)+12)\hat{i}+(9sin(45\°))\hat{j}\\\\F_R=(18.36N)\hat{i}+(6.36N)\hat{j}\\\\|F_R|=\sqrt{(18.36N)^2+(6.36N)^2}=19.43N\)

c)

\(F_R=(9cos(90\°)+12)\hat{i}+(9sin(90\°))\hat{j}\\\\F_R=(12N)\hat{i}+(9N)\hat{j}\\\\|F_R|=\sqrt{(12N)^2+(9N)^2}=15N\)

It is simple to determine the size of the electric field by calculating the force per charge on the test charge. The standard metric units for electric field strength are derived from this concept.

Formulas for a vector's magnitude Magnitude Formula for a Vector with the Origin as the End Point. | v | = x 2 + y 2. When the starting points are (x1, y1) and the ending points are (x2, y2).

Equation E = kQ/r2 determines the size of the electric field (E) created by a point charge with a charge of magnitude Q at a point r distant from the point charge, where k is a constant with a value of 8.99 x 109 N m2/C2.

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