What is the starting volume of water in the graduated cylinder?

Answers

Answer 1

26.0 mL of water were initially present in the graduated cylinder. The water level in the cylinder was 39.0 mL after inserting an object.

What does water volume mean?

Volume is the three-dimensional space inhabited by matter or encompassed by a surface, and it is expressed in cubic units. The SI unit of capacity is the cubic meter (m3), which is a derived unit.

What are the three methods for determining volume?Volume by space can be solved. Every physical object takes up space, and you may determine the volume of some of them by counting their individual parts.Calculate volume using mass and density. The definition of density is the mass of an object per unit of volume.Volume can be solved for via displacement.

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Related Questions

Calculate the magnitude of the electric field at point p on the bisector of the rod

Answers

The magnitude of the electric field at point p is [tex]\frac{2kQ}{a\sqrt{4a^{2} + L^{2} } }[/tex].

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.

The human body is affected by low-frequency electric fields in the same way that they are affected by other charged-particle-containing materials. The distribution of electric charges at conductive materials' surfaces is affected by electric fields acting on such materials. They make the body conduct current to the ground.

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8. At track practice, a student runs around an oval shaped 400 meter long track 4
times. Determine the distance and displacement of the student.

Answers

The distance travelled by the student is 1600m and the displacement is 0.

Displacement is the direction from the beginning point and the length of a straight path from the starting point to the finishing point, whereas distance is the length of a path that connects two places.

Displacement is a vector quantity that does not take into consideration the actual path taken; instead, it quantifies the distance between the beginning point and the finishing position.

Given:

Track length = 400m

No. of rounds = 4

To find:

Distance, d = ?

Displacement, D = ?

Formula:

Distance, d = Track length x No. of rounds

Displacement, D = End point – Start point

Calculations:

d = 400 x 4

d = 1600m

D = 0 since the start and end point are same.

Result:

The distance travelled is 1600m with 0 displacement.

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A snowmobile has an initial velocity of 3 m/s. (a) If it accelerates at 0.5 m/s² for 7 seconds
what is the final velocity? (b) If it then accelerates at -0.6 m/s², how long will it take to
reach a complete stop (assume the starting velocity for the negative acceleration is the
answer from part a)?

Answers

Answer: a. 6.5 m/s

b. s=10.83 seconds

Explanation:

a. 3+7(0.5)=

3+3.5=6.5 m/s

b. s=seconds

6.5-0.6s=0

6.5-0.6s+0.6s=0+0.6s

6.5=0.6s

6.5=3s/5

6.5*5=3s*5/5

3s=32.5

s=32.5/3

s=65/6

s=10.83 seconds

a motorcyclist passing a road junction moves due west for 8 seconds at a uniform speed of 5m/s. he then moves due north for another 6 seconds with the same speed. at the end of the 6 seconds, his displacement is 50m in what direction?

Answers

Answer: N53oW

Explanation: Hope this helps :)

an object moving with uniform acceleration has a velocity of 11.0 cm/s in the positive x-direction when its x-coordinate is 2.91 cm. if its x-coordinate 3.25 s later is −5.00 cm, what is its acceleration?

Answers

The acceleration of the object is 5.3 cm/[tex]s^{2}[/tex] and is directed towards the negative x - axis.

We have an object moving with uniform acceleration along the + x axis.

We have to determine of the acceleration of object after 3.25 seconds.

According to the question -

initial velocity = u = 11 cm/s along +x axis.

Now, using the second equation of motion -

[tex]$S=ut +\frac{1}{2}at^{2}[/tex]

S = x(2) - x(1) = - 5 - 2.91 = - 7.91 = 7.91 cm along -x axis.

u = 11 cm/s

Substituting the values -

7.91 = 11 x 3.25 + 0.5 x 3.25 x 3.25  x a

7.91 = 35.75 + 5.3a

a = - 5.3 cm/[tex]s^{2}[/tex]

Hence, the acceleration of the object is 5.3 cm/[tex]s^{2}[/tex] and is directed towards the negative x - axis.

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in which one of the following cases is the displacement of the object directly proportional to the elapsed time?

Answers

Complete Question -

In which one of the following cases is the displacement of the object directly proportional to the elapsed time?

A)a ball rolls with constant velocity

B)a ball at rest is given a constant acceleration

C)a ball rolling with velocity  given a constant acceleration

D)a bead falling through oil experiences a decreasing acceleration

E)a rocket fired from the earth's surface experiences an increasing acceleration

A ball rolls with a constant speed is the displacement of the object without delay proportional to the elapsed time.

An item's position adjustments if it movements on the subject of a reference body, inclusive of whilst a passenger actions to the returned of an plane or a lecturer moves to the right on the subject of a whiteboard. Displacement describes this shift in location. Displacement is a vector and shows that an item has moved or has been displaced. This shows that it has both a route and a significance and that it can be visualized as an arrow pointing from the starting place to the finishing region.

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snail starts at a position of 10 cm and moves to a final position 120 , what is its displacement?

Answers

Answer:

110cm

Explanation:

displacement= final position- initial position

= 120cm-10cm

= 110cm

If you run a lap around a track of 200 m. What should be distance and displacement?

Answers

Distance is 200m and Displacement is 0m

A diagram shows the velocity vector for an object in uniform circular motion. Why is the vector tangential to the circle?

A. The vector shows the path the object would follow if the net force acting on it stopped.
B. The vector indicates the direction of the force on the object.
C. The vector shows how the object pulls against the centripetal force.
D. The vector approximates the curved path at that point.

Answers

The vector tangential to the circle because the vector indicates the direction of the force on the object.

What is centripetal force?

Centripetal force is the force acting on an object in circular motion directed towards the axis of rotation.

In a circular motion, the direction of the velocity vector is the same as the direction of the object's motion, the velocity vector is directed tangent to the circle as well.

It also indicate the direction of the centripetal force.

Thus, the vector tangential to the circle because the vector indicates the direction of the force on the object.

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I really need help with Physics. This is due in 30 minutes. Please Help!!!!! 60 POINTS

Answers

Answer:

i cant see the picture clearly can u resend it?

Explanation:

leaving the water vertically at 8.0 m/s , a steelhead lands on the top of a waterfall 1.8 m high. how long is it in the air?

Answers

The steelhead lands on the top of waterfall when it is descending so the time taken is 1.36 seconds.

What is a waterfall?

A waterfall is a factor in a river or movement in which water flows over a vertical drop or collection of steep drops.  

Waterfalls are formed in a variety of ways, but the most common  is for a river to flow over a top layer of elastic rock before dropping into soft rock. This rock will erode faster, resulting in a higher drop.  Waterfalls have been studied for their impact on the species that live in and around them. Over the years, people have developed a unique relationship with waterfalls by seeing them, exploring them, and naming them. They can pose a formidable obstacle to navigation along the river.

Using ,S= u*t + (1/2)at​2​​​​

         1.8 = 8t - [(1/2)*9.8*t​​​​​​2​​​​​]

By ,solving this quadratic equation we get, t= 0.27 s or t= 1.36 s

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If a car drives up an incline at a constant speed, what is the magnitude of its acceleration?.

Answers

If there is a hill, it will move more slowly. It will continue moving at the same speed if the surface is flat. Gravity is what causes a slope’s change in speed.

Things move more quickly when moving downhill and more slowly when moving upwards (slow down).

If an object’s speed is constant, can it accelerate?

Yes, many individuals initially find this counter-intuitive because they overlook the fact that acceleration can still occur even when an object maintains a constant speed.

What forces are at work when an automobile is climbing a hill?

The force that is sent up the hill is powered by the car’s engine. Because the engine makes the drive wheels rotate, the road applies this force, which is actually static friction, to the drive wheels.

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Two cars travel along a straight road. When
a stopwatch reads t = 0.00 h, car A is at
XA= 48.0 km moving at a constant speed of
36.0 km/h. Later, when the watch reads
t = 0.50 h, car B is at XB = 0.00 km moving
at 48.0 km/h. Answer the following
questions, first graphically by creating a
position-time graph, and then algebraically
by writing equations for the positions XA
and XB as a function of the stopwatch
cime, t.

Answers

The equation for position of car A is [tex]x_{a}[/tex] ( t ) = 36 t + 48.

The equation for position of car B is [tex]x_{b}[/tex] ( 0.5 ) = 36 ( 0.5 ) + c.

The position function in  one dimension is written as x ( t ) = vt + c. This equation is for a function starting at t = 0.

x = Distance

t = Time

v = Initial Velocity constant

c = Initial position constant

For car A ,

t = 0

c = 48 km

v = 36 km / h

[tex]x_{a}[/tex] ( 0 ) = 36 ( 0 ) + 48

[tex]x_{a}[/tex] ( 0 ) = 48 km, which is the distance at which car A starts to move from.

For car B,

t = 0.5 hr

c = 0

v = 48 km / h

[tex]x_{b}[/tex] ( 0.5 ) = 48 ( 0.5 ) + 0

[tex]x_{b}[/tex] ( 0.5 ) = 24 km

[tex]x_{b}[/tex] ( 0 ) = 48 ( 0 ) + c

[tex]x_{b}[/tex] ( 0 ) = c

Therefore,

The equation for position of car A is [tex]x_{a}[/tex] ( t ) = 36 t + 48.The equation for position of car B is [tex]x_{b}[/tex] ( 0.5 ) = 36 ( 0.5 ) + c.

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If the initial velocity of an object is upward in the positive direction, what must the sign of the acceleration due to gravity be in a calculation?

Answers

Therefore, the direction of motion is positive for upward motion if an object is travelling vertically up. Since gravity accelerates downhill, it is assumed that this acceleration is negative.

Depending on the sign convention you desire to adhere to, the sign of the acceleration caused by gravity (g) might be either positive or negative. G will be positive if you decide to make the downward direction positive and the upward direction negative (an often-used convention). The thing is either standing still or descending. The initial velocity of an object is zero meters per second if it is dropped from a height rather than being hurled.

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Kinetic energy is the energy associated with its position or composistion. True or false

Answers

FALSE

Kinetic energy is the energy associated with its motionKinetic Energy is energy of an object's motion due to the object's motionA rolling ball, a moving rollercoaster, and a toy car are few example of kinetic energykinetic energy = ½ × m × V²The mass affects the kinetic energy because the more the mass the more energy is given to the objectEnergy is what makes matter move or change. It is also defined as the ability to do work.Motion is a change in position over timeIn Joules describes the amount of energy needed to do a certain amount of work or cause a certain amount of change

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a boat is stationary at 12\, \text{meters}12meters12, start text, m, e, t, e, r, s, end text away from a dock. the boat then begins to move toward the dock with an acceleration of 5.0\, \dfrac{\text{m}}{\text{s}^2}5.0 s 2 m ​ 5, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, squared, end fraction.

Answers

A boat is stationary at  12 meters away from a dock. The boat then begins to move toward the dock with an acceleration of 50 m/s². How long will it take the boat to reach the dock?

Answer:

Boat can reach the dock at 2.19 s time.

Explanation:

Given that

Distance of boat to dock d = 12m.Acceleration of boat a = 50 m/s².

To find

How long will it take the boat to reach the dock ?

So according the question

We have,

Initial velocity u = 0 m/s.Acceleration of boat a = 50 m/s².Distance of boat from dock s = 12m.

Now, for finding time travelled by boat to reach dock we can use the second equation of motion i.e.

second equation of motion

         s = ut + [tex]\frac{1}{2}[/tex] at²

     where,

         s = Distance.

          u = Initial velocity.

          t = Time.

          a = Acceleration.          

Now, putting all given values in second equation of motion,

So, we get

          s = ut + [tex]\frac{1}{2}[/tex] at²

         12 = 0t + [tex]\frac{1}{2}[/tex] ×5× t²

         12×2 = 5t²

         t² = [tex]\frac{12 \times 2}{5}[/tex]

         t = [tex]\sqrt{\frac{24}{5}}[/tex]

         t = [tex]\sqrt{{4.8}}[/tex]

        t = [tex]2.19[/tex] s.

Answer:

Boat can reach the dock at 2.19 s time.

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What does the angular frequency of the emf have to be for the inductor and resistor have the same peak voltage (i.e. for r and xl to be the same)?

Answers

The angular frequency of the emf for the inductor and resistor to have the same peak voltage (i.e. for R and XL to be the same) is R/L.

The above situation represents Alternating Current(AC).

An alternating current is a type of current that reverses its direction after fixed intervals of time.

The following formulas are used in the case of AC,

XL = ωL

XC= 1/Cω

Here L and C represent inductance and capacitance respectively.

It is  given that XL = R

Hence, ωL = R

ω = R/L

Hence, the angular frequency(ω) of the emf for the inductor and resistor to have the same peak voltage (i.e. for R and XL to be the same) is R/L.

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An object of mass 0.9 kg is attached to a massless string of length 3 m, and swung with a tangential velocity of 3 m/s. What is the force exerted by the string on the object?

Answers

According to  the given statement The force exerted by the string on the object is 2.7 N.

What does tangential velocity mean?

Any item travelling in a circular direction has a tangential velocity, which is its linear speed. On a turntable, a point in the centre moves less distance in a full rotation than a point near the outside edge.

How do you calculate tangential velocity?

Tangential velocity is determined by dividing the circle's circumference by the time required for one complete rotation: 2*pi*r/t. The formula V = w * r, where w (omega) is the angular velocity of the rotating object and r is the radius of the circle, also relates it to angular velocity.

Briefing:

m = 0.9 kg

r = 3m

v = 3m/s

Force (f) = mv2/r

Now ,putting values

force (f) = [tex]\frac{0.9 k g \times\left(3 \mathrm{~ms}^{-1}\right)^2}{3 \mathrm{~m}}[/tex]

F = 2.7 N

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Suppose object a is experiencing an electric field with a magnitude of e at its location. if the charge on object a is doubled, what happens to the electric field it is experiencing?

Answers

If the charge on object A is doubled then the electric field will remain unchanged in any of the cases. It is so because the question is asking us whether the electric field which the object is experiencing is changing or not, but in actuality, due to charge change, the magnitude of the electric field is changing only.

The electric field's magnitude may be easily determined by calculating the force per charge on the test charge. The electric field would exert a force on the item when its charge doubled since it is inversely proportional to the electric charge. so won't have any effect.

The field is supposed to have a direction corresponding to the force that it would exert on a positive test charge. The electric field emanates from a positive point charge in an outward direction, and from a negative point charge in an inward direction.

A charge is a characteristic that describes how many more or fewer electrons than protons a matter unit has.

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Explain how emission lines and absorption lines are formed. in what sorts of cosmic objects would you expect to see each?

Answers

Absorption lines are created when electrons gain energy from photons, whereas emission lines are created when electrons lose energy (continuous spectrum). Gaseous clouds are sorts of cosmic objects in which we would expect to see each.

When an atom, element, or molecule absorbs a photon with an energy equal to the difference between two energy levels, absorption lines are created. The atom, element, or molecule is considered to be in an excited state when this happens because one electron is elevated to a higher energy level.

In a spectrum, an emission line will be seen if a source emits radiation at a particular wavelength. This emission happens when an excited atom, element, or molecule switches to a lower-energy form.

Gaseous clouds are sorts of cosmic objects in which we would expect to see each. Some of the light at specific wavelengths is scattered when it travels through the atmosphere's gas, producing darker bands. These lines were catalogued by heating common components until they created light and became known as "spectral lines."

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For 21-25. Refer to this Problem A A basket of fruits which is on top of a 3.5m high table has a PE of 44.1 J. What is the mass of the basket of fruits?​

Answers

According to the given statement The mass of the basket of fruits is 1.2 kg.

What is the meaning of mass?

A measurement of inertia, the fundamental property of all stuff. In essence, it's the resistance of a mass of matter to changing its direction or speed in reaction to the application of a force. The more mass a body possesses, the smaller the change that is brought about by an applied force.

Briefing:

GPE = mgh

GPE = gravitational potential energy.

m = mass in kilograms (kg).

g = gravitational field strength in (N/kg).

h = change in height in meters (m).

GPE = 44.1 J

g = 9.8 N/kg

h = 3.5 m

Fill in the given values in the formula to find m:

44.1 = m * 9.8 * 3.5

44.1 = 34.3m

m = 44.1/34.3

m = 1.28571429

m = 1.2 kg

The mass of the basket of fruits is 1.2 kg

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the friction coefficient between a road and the tyre of a vehicle is 4/3. find the maximum incline the road may have so that once hard brakes are applied and the wheel starts skidding, the vehicle going down at a speed of 36 km/hr is stopped within 5 m.

Answers

When the friction coefficient between a road and the tyre of a vehicle is 4/3, the maximum incline that the road may have would be 16° so that when brakes are applied, the vehicle stops within 5 m.

What does friction coefficient mean?

The ratio of the frictional force to the normal force is called as the coefficient of friction (COF), which has no dimensions. The ratio that is present between the normal force pressing two surfaces together and the frictional force preventing motion between the two surfaces.

It is mostly represented by using the Greek letter mu (μ) Those materials are said to be as lubricous only if their COF is less than 0.1.

The present Surface roughness and the kind of COF are related to the nature of the materials.

Then we see that,

S=5m,

Friction coefficient (μ)=4/3,

g=10m/[tex]s^{2}[/tex]

speed u=36km/h=10m/s

v=0 a=[tex]\frac{v^{2}-u^{2} }{2s}[/tex] = [tex]\frac{0-10^{2} }{2*5}[/tex] = 10 m/[tex]s^{2}[/tex]

Then,

R−mgcosθ = 0

⇒ R = mgcosθ

then, ma+mgsinθ−μR = 0

⇒ ma+mgsinθ−μmgcosθ = 0

⇒ a + gsin[tex]\theta\\[/tex] - μgcosθ = 0

⇒ 10 + 10sinθ - [tex]\frac{4}{3}[/tex] x 10cosθ = 0

⇒ 30+30sinθ -40cosθ = 0

⇒ 4cosθ - 3sinθ = 3

⇒ 4[tex]\sqrt{1-sin^{2}\theta }[/tex] = 3+3sinθ

if we square both sides, we have,

sinθ = [tex]\frac{18+\sqrt{18^{2}-4(25)(-7) } }{2*25}[/tex]

= 14/50 = 0.28

⇒ θ = [tex]sin^{-1}[/tex] (0.28) = 16°

Hence maximum inclination

θ= 16°

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In this experiment, you start with plain dichloromethane (or hexane), and a solution of iodine and potassium iodide in water. what happens during the extraction process?

Answers

The correct option is (D) The iodine gets extracted into to the organic solvent, and the potassium iodide remains in the water.

During extraction, the iodine gets extracted into to the organic solvent, and the potassium iodide remains in the water.

What is the extraction principle?

For extraction, the principle of like dissolve like is followed.

There are two solvents - water which is polar and dichloromethane (or hexane) which are nonpolar.

We need to extract iodine [tex]I_{2}[/tex] and potassium iodide (KI).

[tex]I_{2}[/tex] is a non-polar molecule that is formed by covalent bonding. But KI is an ionic molecule that exhibits ionic behavior by giving [tex]K^{+}[/tex] and [tex]I^{-}[/tex] ions in aqueous media. Also, there is a difference in their electronegativity. Thus, [tex]I_{2}[/tex] will be extracted in an organic solvent and KI remains soluble in water.

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The complete question is:

"In this experiment, you start with plain dichloromethane (or hexane), and a solution of iodine and potassium iodide in water. what happens during the extraction process?

(a) Both the potassium iodide and the iodine remain in the water

(b) Both the potassium iodide and the iodine get extracted into the organic solvent

(c) The potassium iodide gets extracted into the organic solvent, and the iodine remains in the water

(d) The iodine gets extracted into to the organic solvent, and the potassium iodide remains in the water"

5. A rocket travels a distance of 6,000 km in 2 hours, what is the rockets speed?

Answers

The speed of the rocket is 3000 km/h.

Distance is the sum of an object's movements, regardless of direction. Without respect to the object's starting or finishing positions, distance can be defined as the amount of space it has traveled.

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The distance traveled by rocket is 6000 km.

The time is taken by the rocket is 2 hours.

The speed of an object is defined as the distance traveled by the object per unit of time.

Therefore,

Speed = distance / time

S = d / t

S = 6000 km / 2 hr

S = 3000 km/h

The speed of the rocket is 3000 kilometers per hour.

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What type of semiconductor is prepared by doping as into si?
a) p-type
b) n-type
c) intrinsic
d) e-type
e) none of these

Answers

N- type of semiconductor is denoted by positive ion and free electron.

What is semiconductor?

An object known as a capacitor is one that uses an electric field to store electrical energy. There are two terminals on this passive electrical component.

Capacitance is the name for a capacitor's result. A capacitor is a component made to increase the capacitance in a circuit, even though there is some capacitance between any two electrical conductors that are close to one another in a circuit. Condensers and condensators were the previous names for capacitors. Although condenser microphones, sometimes known as capacitor microphones, are an important exception, this word and its cognates are still often used in many other languages outside English.

Practical capacitors come in a wide variety of physical shapes and constructions, and they are used in a variety of ways. A minimum of two electrical conductors are typically found in a capacitor.

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Lance is working in a library using a trolley to carry books. As he stacks books from the trolley on shelves, it gets easier to push or pull the trolley. Which part of Newton’s laws of motion explains the increased ease of moving the trolley?

Answers

Answer:

It is the law of f=ma because the lighter the trolley is, the easier it is to push it, because it doesn't have as much mass,

Explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)

an object moving in a straight line has a velocity v in meters per second that varies with time t in seconds according to the following function. v

Answers

Based on the calculations, the instantaneous acceleration of this object at time, t = 2 seconds is equal to 2 m/s^2.

What is velocity?

Velocity can be defined as the distance covered by an object per unit of time. This ultimately implies that, velocity is a vector quantity because it has both magnitude and direction. Also, velocity can be measured as meter per seconds.

Mathematically, the velocity of any physical object can be calculated by using this formula:

Velocity = displacement/time

What is an instantaneous acceleration?

An instantaneous acceleration can be defined as a continuous function of time which gives the ratio of change in velocity of a physical object. Mathematically, instantaneous acceleration can be calculated by taking the derivate of the velocity function.

Taking the derivate of the velocity function, we have:

Velocity, v = 4 + 0.5t^2

dv/dt = 0 + (0.5 × 2)×t^{2-1}

dv/dt = t

Substituting the value of time (t), we have:

Instantaneous acceleration, dv/dt = t

Instantaneous acceleration, dv/dt = 2 m/s^2.

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Complete Question:

An object moving in a straight line has a velocity v in meters per second that varies with time t in seconds according to the following function: v = 4 + 0.5t^2

The instantaneous acceleration of the object at t = 2 seconds is:

answer choices

2 m/s^2

4 m/s^2

5 m/s^2

6 m/s^2

8 m/s^2

True or false: When a scientist begins an investigation, they must state the problem. The problem is what he or she is going to investigate.

True false question.

Answers

Answer: I believe it is true

Explanation:

the electric field everywhere on the surface of a charged sphere of radius 0.260 m has a magnitude of 525 n/c and points radially outward from the center of the sphere.

Answers

(a)The net charge on the sphere is 3.38×[tex]10^{-9}[/tex] C.

(b) The charge inside sphere is positive and distributed symetrically inside the sphere .

(a) As we know the electric field is given as,

E = kq / [tex]r^{2}[/tex]

Plugging in the values we get,

575 = 8.99×[tex]10^{9}[/tex] q / [tex]0.230^{2}[/tex]

8.99×[tex]10^{9}[/tex]q = 30.41

q = 3.38×[tex]10^{-9}[/tex] C

So, the net charge on the sphere is 3.38×[tex]10^{-9}[/tex] C.

(b) We can conclude that the charge inside sphere is positive and distributed symetrically inside the sphere .

The complete question is: The electric field everywhere on the surface of a charged sphere of radius 0.230 m has a magnitude of 575 N/C and points radially outward from the center of the sphere. (a) What is the net charge on the sphere? (b) What can you conclude about the nature and distribution of charge inside the sphere?

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a key falls from a bridge that is 45 m above the water. it falls directly into a model boat, moving with constant velocity, that is 12 m from the point of impact when the key is released. what is the speed of the boat?

Answers

12 m from the point of impact when the key is released, the speed of the boat is 4.0m/s.

What do you mean by the term speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path. In other words, velocity is a vector, whereas speed is a scalar value. Let’s take an example, 15km/hr shows the speed of a vehicle but 15km/hr east shows the velocity of the vehicle. Speed of an object can be calculated mathematically in a simple way. Speed of an object can be found by dividing distance traveled by the object by time taken to cover that distance.

The speed of the boat can be given by , v = d/t

Now, d = 12 m and t is the time the key takes to fall into the boat

Taking the initial time(time at which the key is dropped) to be 0 we calculate t when height(y) is 45 m.

y = ½(gt)^2

t =   (2y/g)^(1/2)

t = ((2*45)/9.8)^(1/2)

t = 3.03 s

Therefore, speed of the boat = (distance covered by the boat)/(time taken)

distance  = 12/(3.03)= 4.0 m/s

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