A force of 30 N is exerted on an object on a frictionless surface for a distance of 6.0 meters. If the object has a mass of 10 kg, calculate its velocity.

Answers

Answer 1

Answer:The velocity of the object will be 5[tex]\sqrt7[/tex]m/s or 13.23m/s

Explanation:

force exerted by the object= 30N

distance displayed by the object by the action of force=6.0m

mass of object=10kg

velocity gained by the object=?

[tex]\frac{1}{2}mv^{2}= forcexdisplacement\\\frac{1}{2}10v^{2} = 30x6\\ 5v^{2}=180\\ v^{2}= 180-5\\ v^{2} =175\\v=\sqrt{175} \\v=5\sqrt{7} or 13.23[/tex]


Related Questions

A ball with a mass of 2000 g is floating on the surface of a pool of water. What is the minimum volume that the ball could have without sinking below the surface of the water? (Note that water has a density of 1.00 g/cm³.)

Answers

Answer:

[tex]2000\; {\rm cm^{3}}[/tex].

Explanation:

When the ball is placed in this pool of water, part of the ball would be beneath the surface of the pool. The volume of the water that this ball displaced is equal to the volume of the ball that is beneath the water surface.

The buoyancy force on this ball would be equal in magnitude to the weight of water that this ball has displaced.

Let [tex]m(\text{ball})[/tex] denote the mass of this ball. Let [tex]m(\text{water})[/tex] denote the mass of water that this ball has displaced.

Let [tex]g[/tex] denote the gravitational field strength. The weight of this ball would be [tex]m(\text{ball}) \, g[/tex]. Likewise, the weight of water displaced would be [tex]m(\text{water})\, g[/tex].

For this ball to stay afloat, the buoyancy force on this ball should be greater than or equal to the weight of this ball. In other words:

[tex]\text{buoyancy} \ge m(\text{ball})\, g[/tex].

At the same time, buoyancy is equal in magnitude the the weight of water displaced. Thus:

[tex]\text{buoyancy} = m(\text{water}) \, g[/tex].

Therefore:

[tex]m(\text{water})\, g = \text{buoyancy} \ge m(\text{ball})\, g[/tex].

[tex]m(\text{water}) \ge m(\text{ball})[/tex].

In other words, the mass of water that this ball displaced should be greater than or equal to the mass of of the ball. Let [tex]\rho(\text{water})[/tex] denote the density of water. The volume of water that this ball should displace would be:

[tex]\begin{aligned}V(\text{water}) &= \frac{m(\text{water})}{\rho(\text{water})} \\ &\ge \frac{m(\text{ball}))}{\rho(\text{water})} \end{aligned}[/tex].

Given that [tex]m(\text{ball}) = 2000\; {\rm g}[/tex] while [tex]\rho = 1.00\; {\rm g\cdot cm^{-3}}[/tex]:

[tex]\begin{aligned}V(\text{water}) &\ge \frac{m(\text{ball}))}{\rho(\text{water})} \\ &= \frac{2000\; {\rm g}}{1.00\; {\rm g\cdot cm^{-3}}} \\ &= 2000\; {\rm cm^{3}}\end{aligned}[/tex].

In other words, for this ball to stay afloat, at least [tex]2000\; {\rm cm^{3}}[/tex] of the volume of this ball should be under water. Therefore, the volume of this ball should be at least [tex]2000\; {\rm cm^{3}}\![/tex].

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. Find the temperature at which the resistance becomes 1.50 ohms.​

Answers

Suppose the resistance of a copper wire is 1.05 ohms at 30°C. the temperature is mathematically given as

T=139.89

What is the temperature at which the resistance becomes 1.50 ohms.​?

Generally, the equation for the coefficient of change is mathematically given as

[tex]\mu_k= 0.2+(0.043)3\\\\\mu_k=0.2+(0.043)(4.343)[/tex]

[tex]\mu_k=0.387[/tex]

In conclusion, the Temperature of copper

[tex]R=R_0( 1+ \alpha(T-T1))[/tex]

1.5(1+0.005(T-30))

T=139.89

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A ball dropped onto a trampoline returns to the same height after the rebound.
a) Describe the energy change of the ball from the point of release to the top of the rebound
b) What can you say about the energy of the ball at the point of release compared with at the top of the rebound?

Answers

a)The ball's potential energy changes as it moves from the release point to the top of the rebound.

b)The ball's potential energy is at its highest and rests when it is in the top position.

What is potential energy?

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule.

The potential energy is mainly dependent upon the height of the object.

Potential energy = mgh

The kinetic energy of the body is due to the virtue of motion.

According to the Law of Conservation of Energy, energy can neither be created nor destroyed but can be transferred from one form to another.

The total energy is the sum of all the energies present in the system. The potential energy in a system is due to its position in the system.

A ball dropped onto a trampoline returns to the same height after the rebound.

Hence, the ball's potential energy changes as it moves from the release point to the top of the rebound. When the ball is at the top position the potential energy is maximum and the ball is at rest.

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A boy throws a ball vertically up it returns the ground after 10 seconds find the maximum height reached by the ball

Answers

Answer:

Approximately [tex]122.625\; {\rm m}[/tex] (assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex], the ball was launched from ground level, and that the drag on the ball is negligible.)

Explanation:

Let [tex]v_{0}[/tex] denote the velocity at which the ball was thrown upward.

If the drag (air friction) on the ball is negligible, the ball would land with a velocity of exactly [tex](-v_{0})[/tex]. The velocity of the ball would be changed from [tex]v[/tex] to [tex](-v_{0})\![/tex] (such that [tex]\Delta v = (-v_{0}) - v_{0} = (-2\, v_{0})[/tex]) within [tex]t = 10\; {\rm s}[/tex].

Also because the drag on the ball is negligible, the acceleration of the ball would be [tex]a = -g = -9.81\; {\rm m\cdot s^{-2}}[/tex]. Thus:

[tex]\Delta v = a\, t = 10\; {\rm s} \times (-9.81\; {\rm m\cdot s^{-2}}) = -98.1\; {\rm m\cdot s^{-1}}[/tex].

Since [tex]\Delta v = (-2\, v_{0})[/tex]:

[tex]-2\, v_{0} = \Delta v = -98.1\; {\rm m\cdot s^{-1}[/tex].

[tex]\begin{aligned}v_{0} &= \frac{-98.1\; {\rm m\cdot s^{-1}}}{-2}= 49.05\; {\rm m \cdot s^{-1}}\end{aligned}[/tex].

The ball reaches maximum height when its velocity is [tex]v_{1} = 0\; {\rm m\cdot s^{-1}}[/tex]. Apply the SUVAT equation [tex]x = ({v_{1}}^{2} - {v_{0}}^{2}) / (2\, a)[/tex] to find the displacement [tex]x[/tex] between the original position (ground level, where [tex]v_{0} = 49.05\; {\rm m\cdot s^{-1}}[/tex]) and the max-height position of the ball (where [tex]v_{1} = 0\; {\rm m\cdot s^{-1}}[/tex].)

[tex]\begin{aligned}x &= \frac{(0\; {\rm m\cdot s^{-1}})^{2} - (49.05\; {\rm m\cdot s^{-1}})^{2}}{2 \times (-9.81\; {\rm m\cdot s^{-2}})} \\ &\approx 122.625\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

I turn a glass upside down, trap the air in it by putting it in water, and then i take the glass down to 10 metres/33 feet. The air space would

Answers

The air space would be half the size it was at the surface.

What is airspace?

It should be noted that airspace means the portion of the atmosphere controlled by a country that's above its territory.

Based on the information given, the The air space would be half the size it was at the surface.

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you plan to use a slingshot to launch a ball that has a mass of 0.025kg

Answers

From the calculations, the force required is 0.437 N.

What is force?

The term force is defined a the product of mass and acceleration. The force is required to move the sling the required distance.

If mass = 0.019 kg and acceleration =  23 m/s2 then we know that F = ma

It then follows that the required force is;

F = 0.019 kg  *  23 m/s2= 0.437 N

Missing parts

You plan to use a slingshot to launch a ball that has a mass of 0.019 kg. You want the ball to accelerate straight toward your target at 23 m/s2. How much force do you need to apply to the ball?

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The kinetic energy of an object is proportional to the square of its _______?

Answers

Answer:

kinetic energy of an object is proportional to the square root of its boiling vocelity

A football is kicked with an initial velocity of 10 m/s at an angle of 25°. If it hits the ground 1.5s later, how many meters does it travel?

Answers

Answer:

i am pretty sure its 15 m

Explanation:

10 m/s

1.5 seconds

25 angle


10m/1.5s

10x1.5=15

The wave equation says that a wave's speed is equal to its wavelength times its _________________.

Answers

Answer:

Frequency

Explanation:

speed = wavelength * speed

when you rub neutral objects​

Answers

electrons can be knocked loose from one object and picked up by the other. The object that gains electrons becomes negatively charged, while the object that loses electrons becomes positively charged.

b gained electrons

You push a 50.0 kg box across a floor at a constant speed of 2.0m/s. If the coefficient of friction between the two surfaces is 0.20, then how much force are you exerting on the box? If you stop pushing, then how far will the box slide before coming to rest? Start by drawing a FBD.

Answers

(a) The force applied on the box is 98 N.

(b) When you stop pushing, the displacement of the box before coming to rest is 1.02 m.

Force exerted on the box

The force exerted on the box is calculated from Newton's second law of motion.

F - Ff = ma

where;

a is acceleration of the boxF is applied forceFf is frictional force

at constant speed, a = 0

F - Ff = 0

F = Ff

Ff = μmg

Ff = 0.2 x 50 x 9.8

Ff = 98 N

When you stop pushing, applied force = 0

F - Ff = ma

-Ff = ma

a = -Ff/m

a = -98/50

a = - 1.96 m/s²

Displacement of the box

v² = u² + 2as

when the box stops, v = 0

0 = u² + 2as

0 = (2)² + 2(-1.96)s

0 = 4 - 3.92s

3.92s = 4

s = 4/3.92

s = 1.02 m

When you stop pushing, the displacement of the box before coming to rest is 1.02 m.

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1. State Coulomb's law.

2. Two equal balls having equal positive charge Q coulomb are suspended by two insulating strings of equal length what would be the effect of the force when a plastic sheet is inserted between the two?

3. State the junction rule.

4. what is the Toroid?​

Answers

1. Coulomb's Law

Coulomb's law states that the force of a charged object on another charged object is directly proportional to the product of their charge(s) and inversely proportional to the square of the distance between them.

[tex]F_{elec}=k\frac{|q_1||q2|}{r^2}[/tex]

k is a constant.

2. The Force Would Decrease.

Coulomb's law predicts the electric force between two charged objects in a medium.

[tex]F=\frac{1}{4\pi\in_0 } \frac{|q_1q_2|}{r^2}[/tex]

where K is the medium's dielectric constant.

Vacuum: [tex]k=1[/tex]

Plastic: [tex]k > 1[/tex]

Therefore, the force between the two balls will decrease when the plastic sheet is inserted.

3. The Junction Rule states that the sum of magnitudes of the currents directed into a junction equals the sum of the magnitudes of the currents directed out of the current.

4. A Toroid is a doughnut shaped object whose surface is a torus. It annular shape is generated by revolving a circle around an axis external to the circle. Some example uses are RF chokes which is an inductor to have a high impedance to RF current and low impedance to DC current. Another use is variable-frequency oscillator (VFO). The frequency is set by a tuned circuit using capacitors and inductors. The frequency can be changed by adjusting the components in the tuned circuit. Just one last example is in mixers. These are used in transformers for Diode Ring Mixers. Which result in being ready, built, and homebrew.

Answer:

According to Coulomb's law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. It acts along the line joining the two charges considered to be point charges.Force will decrease. The force between charged balls will decrease.Kirchhoff's Junction RuleIt is an application of the principle of conservation of electric charge. The law states that at any circuit junction, the sum of the currents flowing into and out of that junction are equal.In mathematics, a toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. For example, when a rectangle is rotated around an axis parallel to one of its edges, then a hollow rectangle-section ring is produced.

PLEASE HELP ASAP!!!
Describe the two forces that form mid-ocean ridges and ocean trenches

Answers

Ridge push refers to the pressure exerted by the excess height of the mid-ocean ridge, while Slab pull refers to the force exerted by the weight of the subducted slab on the plate it is attached to.

Two forces that form mid-ocean ridges

The two forces that form mid-ocean ridges are ridge-push and slab pull.

What is Ridge push?

Ridge push refers to the pressure exerted by the excess height of the mid-ocean ridge.

What is  Slab pull?

Slab pull refers to the force exerted by the weight of the subducted slab on the plate it is attached to.

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Which of the objects around you is following Newton's first law of motion?

Answers

The object which follows Newton's first law of motion around me is; my scientific calculator.

What is the Newton's first law of motion?

The concept which describes objects as forever stationary except acted upon by external forces can be attributed to.the Newton's first law of motion. The postulation of the law is that; An object remains at rest if at rest, or if in motion, remains in motion at a constant velocity unless acted on by a net external force. Hence, except acted upon by an external force(myself), my calculator will remain at rest.

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The objects around us that obeys newton's first law of motion are

A book placed on the top of a table,A moving car,A standing fan,A building.

Newton's first law of motion

Newton's first law of motion states that every object will continue to be in its state of rest on remain in uniform motion except it is acted upon by an external force.

Newton's first law of motion is also called the law of inertia

Examples of  newton's first law of motion are

A book placed on the top of a tableA moving car,

etc.

Hence, The objects around us that obeys newton's first law of motion are

A book placed on the top of a table,A moving car,A standing fan,A building.

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by considering action-reacton forces,identify why water rises up a thin capillary tube

Answers

The forces of attraction between water molecules and the glass walls and within the molecules of water themselves are what enable the water to rise in a thin tube immersed in water.

What is force?

Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.

Force is defined as the product of mass and acceleration. Its unit is Newton.

Surface or interfacial forces lead to capillarity. The forces of attraction between the water molecules and the glass walls and among the water molecules themselves are what causes the water in a thin tube submerged in water to rise.

Hence, the water rises up a thin capillary tube can be explained by Newton's third law.

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you began with a 544 g sample ​

Answers

Answer:

34g

(second option listed)

Explanation:

half life is the number of days it takes to decrease by half,

after 8 days you are left with half of the original portion

in a period of 32 days, we experience 4 repeats of 8 days

(it gets cut in half four times):

544 / 2 = 272  {day 8}

272 / 2 = 136  {day 16}

136 / 2 = 68 {day 24}

68 / 2 = 34 {day 32}

so, after 32 days, 34g of ooblek are left un-decayed

hope this helps!! have a lovely day :)

the mechanical advantage of a simple machine is 3 and its velocity ratio is 4 find its efficiency ​

Answers

Answer:

75%

Explanation:

Efficiency=MA/VR*100

=3/4*100

=0.75*100

=75%

Circle the letters of the places where portions of Earths fresh water are located

A. In streams B. In the atmosphere
C. In the oceans D. In lakes

Choose more than one

Answers

The portions of Earth's fresh water are located in lakes and streams.  The options A and D are correct.

What is freshwater?

The freshwater is the one which does not contains any harmful chemical and saltiness.

The oceans contains salt water and the lakes and the streams have fresh water.

So, the option A and D are correct.

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Sonam and Wangchuk are taking part in a long jump event during their school's annual sports day. Sonam ran a few distances before taking the jump while Wangchuk jumped without running. Who will jump furthest? Justify your answer.​

Answers

Answer:

Sonam will jump further than wangchuck

PLEASE ANSWER THESE FAST
AND CORRECT PLEASE ​

Answers

Numbers 2 and 5 are both true and the rest are false

Banked Curves: A 600-kg car is going around a banked curve with a radius of 110 m at a steady speed of 24.5 m/s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction

Answers

The angle of baking from the calculation is obtained as 30°.

What is banking?

The term banking refers to a means of preventing vehicles from skidding off the road at curves.

We know that the banking angle is obtained from;

θ = tan-1(v^2/rg)

v = 24.5 m/s

r = 110 m

g = 9.8 m/s^2

θ = tan-1(25^2/9.8 * 110)

θ = tan-1(625 /1078)

θ = 30°

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Explain how the scenario below illustrates a lack of understanding of the importance of quality control.

Situation: Tomas is the manager of a local restaurant.

Tomas: “The health inspection department is too strict. We have to leave some cold foods out to prepare salads for lunch.”

Answers

Answer:

He is being careless.

Explanation:

he is trying to "get rid" of one problem so he can tackle another. This is food though, and you have customers to serve. You also have to be careful about food poisoning.

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will

Answers

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.

What is Buoyancy?

Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.

All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.

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8. in a hall experiment, a current of 25 a is passed through a long foil of ag, which is 0.1 mm thick and 3mm long. calculate the hall voltage produces across the width by a flux of 1.4 w/m2. if the conduction of ag is 6.8x10mho/m. estimate the mobility and hall coefficient.

Answers

The mobility and hall coefficient willl be 57.7 ×10⁻⁴ and 29.41 ×10⁻⁶ v.

What is electric current?

Electric current is defined as the ratio of the charge flow in a given time interval. It is denoted by I. It has the unit is ampere.

Given data;

Electric current,I= 25 A

Thickness  = 0.1 mm

Length = 3 mm

Flux  = 1.4 w/m²

The charge density is found as;

[tex]\rm \rho =- \frac{1}{R_H} \\\\ \rho = 0.119 \times 10^{11} C/m^3[/tex]

The value of the hall voltage is;

[tex]\rm V_H = BVd \\\\ V_H = B \frac{I}{\rho dt} d \\\\ V_H = \frac{BI}{\rho t } \\\\ V_H = \frac{0.14 \times 25 }{0.119 \times 10^{11} \times 0.1 \times 10^{-3}} \\\\ V_H = \frac{3.5 }{0.119 \times 10^7} \\\\ V_H = 29.41 \times 10^{-6} \ v[/tex]

The mobility of electrons is;

[tex]\rm \mu_e = \frac{\rho}{n_e}\\\\ \mu_e = \frac{6.848 \times 10^7}{13.5 \times 10^{-30}\times 1.607 \times 10^{-19}} \\\\ \mu_e = 57.7 \times 10^{-4}[/tex]

Hence the mobility and hall coefficient willl be 57.7 ×10⁻⁴ and 29.41 ×10⁻⁶ v.

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Newton's second law of motion states that Choose one: A. the force of gravity is proportional to the masses of the two objects and the inverse of the square of the distance. B. the acceleration of an object is proportional to the net force acting on it. C. objects have inertia. D. every action has an equal and opposite reaction.

Answers

Answer:

B

Explanation:

An uncharged spherical conductor hangs by an insulating thread. You bring a negatively charged rod near
from the left side. The net charge on the hanging conductor’s left side is (choose one):

a. Positive

b. Negative

c. Neutral

Answers

Answer:

Positive

This type of charging is called charging by induction

In this the uncharged body gets the opposite type of charge.

when a negatively charged rod is bring near uncharged spherical conductor it attracts positive charge and repels negative charges

so In left side all positive charges appears and in right side all negetive

Types of methods of charging

Charging by contact charging by rubbing charging by induction.

Which of the following is a disadvantage of using geothermal energy?

A. It is abundant.
B. It can reduce greenhouse emissions.
C. It is renewable.
D. It can cause air and groundwater pollution.

Answers

i beleive that the D option is correct
i hope it help

The disadvantage of using geothermal energy is  "It can cause air and groundwater pollution." The correct option is D.

What is geothermal energy?

Geothermal energy is a type of renewable energy that comes from the heat within the Earth's core.

The Earth's core is extremely hot, and this heat energy can be harnessed and used to generate electricity. Geothermal energy is often found in areas where the Earth's crust is thin or where there are active volcanoes and geysers.

There are two main types of geothermal energy: direct use and electricity generation.

Direct use involves using geothermal heat directly for heating buildings, greenhouses, or industrial processes such as drying crops or pasteurizing milk. Electricity generation involves using geothermal heat to generate electricity, typically by pumping water into underground reservoirs to create steam that drives turbines connected to generators.

Geothermal energy is considered a renewable energy source because the heat within the Earth's core is continually replenished by radioactive decay. Additionally, geothermal energy is a relatively clean energy source, producing fewer greenhouse gas emissions than fossil fuels.

Here in the question,

Although geothermal energy has many advantages, such as being renewable and reducing greenhouse gas emissions, one of the main disadvantages is that it can cause air and groundwater pollution.

This is because geothermal power plants often release gases and fluids from underground reservoirs that can contain pollutants such as hydrogen sulfide, ammonia, and boron. Additionally, the drilling process used to extract geothermal energy can also release pollutants into the air and water. However, with proper management and regulation, these negative impacts can be minimized.

Therefore, Option D  is correct i.e It can cause air and groundwater pollution is a disadvantage of using geothermal energy.

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What is the peak value of a sine wave whose VAV value is 15V?​

Answers

The peak value of a sine wave whose VAV value is 15V is 21. 21

What is a peak value?

A peak value is simply known as the highest or maximum value reached in one cycle by an alternating quantity.

The formula for peak value is given as;

peak value = Voltage * √2

Voltage = 15V

Peak value = 15 * √ 2 = 15 * 1. 4142 = 21. 21

Thus, the peak value is 21. 21

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Rana writes a summary about a mass on a spring in simple harmonic motion as it moves upward from the equilibrium position toward the maximum positive displacement. as the mass moves upward, the velocity is positive and decreasing while the acceleration is negative and decreasing. what error did rana make? the velocity should be negative, not positive. the acceleration should be positive, not negative. the velocity should be increasing, not decreasing. the acceleration should be increasing, not decreasing.

Answers

Answer:

The magnitude of acceleration should be increasing.

Velocity is positive as the mass is moving towards the maximum positive displacement. Velocity would be decreasing. Acceleration is negative as velocity is decreasing. Additionally, the magnitude of acceleration would be increasing (becomes more negative.)

Explanation:

As the mass in this question moves upwards, the displacement of this mass is becoming more positive. Hence, the velocity of this mass would be positive.

In a simple harmonic motion, velocity is:

maximized at the equilibrium position (where displacement is [tex]0[/tex],) and[tex]0[/tex] when displacement is maximized.

The mass in this question is moving from [tex]0[/tex] displacement (where velocity is maximized) towards maximum displacement (where velocity is [tex]0[/tex].) Thus, the velocity of the mass would be decreasing.

Since the velocity of this mass is decreasing, the acceleration of this mass would be negative. In a simple harmonic motion, acceleration is:

[tex]0[/tex] at the equilibrium position, andmaximum when displacement is maximized, but opposite to the direction of displacement.

The mass in this question is moving from the equilibrium position (where acceleration is [tex]0[/tex]) towards maximum displacement (where acceleration is most negative.) Thus, the magnitude of the acceleration of this mass would be increasing, and the acceleration of the mass would become more negative.

Answer:

the acceleration should be increasing, not decreasing.

or in other words, D.

the pressure in a water pipe in the ground floor of a building is 4×10⁵ Pa and three floors up is 2×10⁵. What is the difference in height between the ground floor and the third floor? Density of water=1×10³ kgm-³​

Answers

The difference in height between the ground floor and the third floor is

What is gauge pressure?

The pressure measured by the pressure gauge is called the gauge pressure.

Given is the the pressure in a water pipe in the ground floor of a building is 4×10⁵ Pa and three floors up is 2×10⁵ Pa. Density of water ρ = 1×10³ kg/m³​

From the Bernoulli's theorem,

ΔPg = ρgΔh

( 4×10⁵ -  2×10⁵) = 1000 x 9.81 x Δh

Δh = 20.4 m

Thus, the difference in height is 20.4 m

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The North was on the verge of victory prior to Lincolns 2nd Inaugural address. He chooses words and analogies that are humble; he does not brag about victory nor blame one side. Why would he want to avoid blaming either side? Solvex + 5-6 = 7.OA. x = -8 and x = -18OB. x = 8 and x = -8C. x = -8 and x = 18OD. x = 8 and x = -18 Unlike early federal-government responses to the Great Depression, FranklinD. Roosevelt's New Deal programs:A. Expanded the governments role in the economy.B. Reduced spending to account for falling revenue.C. Allowed banks to fail if they ran out of capital.D. Created high tariffs to encourage domestic spending. [tex]\{ \frac { ( \sqrt { 3 } ) \times 3 ^ { - 2 } } { ( \sqrt { 5 } ) ^ { 2 } } \} ^ { \frac { 1 } { 2 } }[/tex]solve this equation Does this graph represent a function? Why or why not? What is an operation? A. A process performed with numbers B. A way of showing an equality C. A symbol D. A type of acceleration To what orientation of philosophy do you adhere? find 20,21,22,23,24,25,26,27 Calculate 50% of 684 m.Give your answer in metres (m). Which of the following equations is equivalent to the logarithm equation below E^x=4 A.x=log(10)^4 B.x=In^4 C.x^4=e D.Inx=4 Which of the following is the definition for speciation?an inherited or learned trait that increases an organism's chance of survival in its environmentO the evolutionary process through which new species emergeO a process by which organisms well suited to their environment tend to pass their traits onto offspringO a process by which one of the extreme variations of a trait is favored When you are merging onto the freeway, you should be driving: solve the equation uding the most direct method: 3x(x+6)=-10? According to "five stars for literary critics," what is one role that literary critic fulfills?' 1. Michael Murphy is employed at Agilent Technologies. He has family medical coverage through the group medical plan that Agilent provides for its employees. The annual premium cost for Michael's family is $5,260. The company pays 70 percent of the cost. How much is deducted from his weekly paycheck for medical insurance? (Note: 52 weeks in a year)$28.12$29.74$30.35$32.66None of these choices are correct.2. Brenda Baker has a group health insurance policy from her job at a bank. Her annual premium is $3,500. The policy has a $500 deductible and pays 80% of all medical costs with a stop-loss provision of a limit of $4,000 for out-of-pocket expenses, after the deductible is paid. If Brenda had medical bills totaling $12,000, how much were her out-of-pocket medical costs, including her premiums?$5,900$6,300$6,700$6,900None of these choices are correct. PLEASE ANSWER THESE FASTAND CORRECT PLEASE ABC Bank requires a 20% down payment on all its home loans. If the house ispriced at $145,000, what is the amount of the down payment required by thebank?A. $18,000B. $290,000 C. $29,000D. $14,500 Read the excerpt from Jane Eyre by Charlotte Bront.She [Mrs. Fairfax] returned; with her own hands cleared her knitting apparatus and a book or two from the table, to make room for the tray which Leah now brought, and then herself handed me the refreshments. I felt rather confused at being the object of more attention than I had ever before received, and, that too, shown by my employer and superior; but as she did not herself seem to consider she was doing anything out of her place, I thought it better to take her civilities quietly. What does the juxtaposition of Mrs. Fairfaxs behavior with Janes reaction reveal about Jane?Jane is worried about doing the wrong thing.Jane does not expect to be treated with kindness.Jane does not like to be the center of attention.Jane has little experience interacting with strangers. Which industrial methods of preparing alcohol are more economical? Explain. A rectangular school yard has a perimeter of 294 meters. Its area is 5,162 square meters. What are the dimensions of the school yard?