26. A weight of 20N stretches a spring by 0.5cm. Calculate the
extension when the applied weight is 60N.
A. 0.25cm
B.1.5cm C. 2.0cm D. 4.0cm

The total (PE+ KE) before an event is equal to the total (PE+ KE) after the event.

Hence, the correct option is C.

If the total (PE + KE) before an event is equal to the total (PE + KE) after the event, this means that the total energy of the system is conserved. This is known as the principle of conservation of energy.

It is not necessary for the potential energy to remain constant or for the potential energy before the event to equal the kinetic energy before the event. Rather, the total energy (the sum of potential and kinetic energy) of the system must be conserved.

Similarly, it is not necessary for the momentum to remain constant in this case. The conservation of momentum is a separate principle that applies when there are no external forces acting on the system.

Hence, the correct option is C.

To know more about total (PE+ KE) here

https://brainly.com/question/22623630

#SPJ1

Answer:

let the age of elder sister = x+8

then let the age of younger sister be x

sum of their ages = 64

according to the question,

x+8+x = 64

2x+8 = 64

2x = 64-8

2x = 56

x = 56/ 2

x = 28

so, the age of younger sister is 28 years

and the age of elder sister is x+8= 28+8= 36years

To find the volume of a three-dimensional symmetrical shape using integration, we can use the method of cylindrical shells. This method involves dividing the shape into thin cylindrical shells and then integrating their volumes.

Let's say we have designed a symmetrical solid in the shape of a sphere with a cylindrical cavity running through its center. We will place the flat side (R) of the sphere against the x-y plane. The sphere will be revolving around the z-axis since it is symmetrical about that axis.

To find the volume, we first need to determine the equations for the sphere and the cavity.

The equation for a sphere centered at the origin with radius R is:

x^2 + y^2 + z^2 = R^2

The equation for the cylindrical cavity with radius r and height h is:

x^2 + y^2 = r^2,  -h/2 ≤ z ≤ h/2

The volume of the solid can be found by subtracting the volume of the cavity from the volume of the sphere. Using the method of cylindrical shells, the volume of each shell can be calculated as follows:

dV = 2πrh * dr

where r is the distance from the axis of rotation (the z-axis), and h is the height of the shell.

Integrating this expression over the appropriate range of r gives the total volume:

V = ∫[r1, r2] 2πrh * dr

where r1 and r2 are the radii of the cavity and the sphere, respectively.

Substituting the expressions for r and h, we get:

V = ∫[-h/2, h/2] 2π(R^2 - z^2) dz - ∫[-h/2, h/2] 2π(r^2 - z^2) dz

Simplifying and evaluating the integrals, we get:

V = π(R^2h - (1/3)h^3) - π(r^2h - (1/3)h^3)

V =  πh( R^2 - r^2 ) - (1/3)πh^3

To know more about symmetrical , visit

brainly.com/question/23286309

#SPJ11

Answer:

None of the options are correct.

Explanation:

Let \(V_x\) be the initial horizontal velocity of the golf ball t be the time of flight.

The time of flight, t, is the time taken by the ball to touch the ground. The ball falls towards earth due to gravitational force which acts vertically downward, so, the horizontal velocity of the ball remains unchanged.

As the horizontal distance covered by the ball is 18 m,

As distance = speed x time, so

\(V_x t = 18\cdots(i)\)

Now, by using the equation of motion in the gravitational field,

\(s=ut+\frac 12 g t ^2\)

Here, u is the initial velocity in the vertical direction, s is the displacement traveled in time t, g=9.81 is the acceleration due to gravity.

Here, we have u=0, s=20 m (height of the cliff), \(g=9.81 m/s^2\).

\(\Rightarrow 20=0\times t +\frac 12 (9.81)t^2\)

\(\Rightarrow t^2= \frac {20\times 2}{9.81}\)

\(\Rightarrow t= \sqrt{\frac {40}{9.81}}\)

\(\Rightarrow t=2\) seconds  (approx)

From equation (i), e have

\(V_x\times 2=18\)

\(\Rightarrow V_x=18/2=9\) m/s.

So, the initial velocity of the ball is 9m/s in the hprizontal diection.

Hence, none of the options are correct.

The highest altitude reached, measured from the surface, is R i^2 which is option (c ) .

A projectile is a body that is hurled or thrown with some velocity into the air and then falls to the ground under the force of gravity. The most common examples of projectiles are a ball that is thrown from a height, a bullet that is fired from a gun, a cannonball that is launched from a cannon, or a stone that is thrown up into the air.

Each of these objects moves through the air and experiences the effects of gravity.

The highest altitude that a projectile reaches can be computed using the following formula;

h = (v₀² / 2g), Where h is the maximum height of the projectile, v₀ is the initial velocity of the projectile, and g is the acceleration due to gravity. When the projectile reaches its highest altitude, its final velocity is zero because it has stopped moving upwards.

Therefore, using the formula; v² = v₀² + 2gh, Since the projectile is fired straight upward, its final velocity will be zero.

Hence, using the formula for escape velocity, we have;

ve = √(2GM/R), where G is the gravitational constant, M is the mass of the earth, and R is the radius of the earth.

Half the escape velocity would be; v₀ = ve/2. Substituting this value in the formula for the maximum height gives;

h = (v₀² / 2g) = ((ve / 2)² / 2g) = (Ri² / 2) =  Ri².

To know more about Projectile motion visit:

https://brainly.com/question/12860905

#SPJ11

The net force applied to it is 6311.9 N.

To calculate the net force to the car, first, we need to find the acceleration using the equation of motion.

Force: This as be defined as the product of mass and acceleration of a body. The S.I unit of force is Newton (N)

⇒ Formula

⇒ Where:

From the question,

 ⇒Given:

⇒ Substitute these values into equation 1

⇒ Solve for a

⇒ To get the force, we use the formula below

⇒ Where:

⇒ Given:

⇒ Substitute these values into equation 2

Hence the net force applied to it is 6311.9 N.

Learn more about force here: https://brainly.com/question/13370981

Earth is a good example of inertial frame of reference.

To find the answer, we have to know about the Inertial frame of reference.

Thus, we can conclude that, Earth is a good example of inertial frame of reference.

Learn more about the Inertial frame of reference here:

https://brainly.com/question/13565322

#SPJ4

Answer:

I belive it would be friction applied force and tension

Explanation:

Answer:

I belive it would be friction applied force and tension

Explanation:

Answer:

Mantlee

Explanation:

Answer:

Capillary Action.

Explanation:

Capillary action is the ability of a liquid to flow in narrow spaces without the assistance of, or even in opposition to, external forces like gravity.

Wavelength of the light that is received by the observer on the Earth is 5.4 x 10⁻⁷m.

a) Speed of the galaxy, v = 3.9 x 10⁴ m/s

Speed of light, c = 3 x 10⁵ m/s

Wavelength of the light emitted from the galaxy, λ = 6.2 x 10⁻⁷m

(i) The expression for the change in wavelength of the light that is received by the observer on the Earth is given by,

Δλ = (v/c)λ

Δλ = (3.9 x 10⁴/3 x 10⁵) 6.2 x 10⁻⁷

Δλ = 8.06 x 10⁻⁸m

(ii) Wavelength of the light that is received by the observer on the Earth,

λ' = λ - Δλ

λ' = 5.4 x 10⁻⁷m

b) Redshifts have been observed for almost all galaxies. When light from far-off galaxies travels from the galaxy to our telescopes, it is stretched (made redder) by the universe's expansion, which is known as "cosmological redshift".

To learn more about Redshift, click:

https://brainly.com/question/13494718

#SPJ1

The diverse hues are diverged through different angles if a white light ray is impacted on a prism. Because of this, white light disperses into its individual colours, a phenomenon known as dispersion.

As a result, when white light enters a glass prism, the light is scattered and a spectrum of seven colours is created.

When light passes from one clear medium to another, it bends. The light that is most bent has the shortest wavelength. Due to its maximal wavelength, red bends the least, whereas violet bends the most.

To know more about wavelength visit:-

https://brainly.com/question/13533093

#SPJ1

Restriction of gas flow through the IAB (Intra-Aortic Balloon) may be caused by several factors: Blockage or occlusion, Kinking or bending of the catheter, Malpositioning of the catheter tip and many more.

Blockage or occlusion: The IAB catheter may become blocked or occluded, preventing the free flow of gas. This can occur due to the formation of blood clots, debris, or other obstructions within the catheter. Blockage can compromise the effectiveness of the IAB in providing circulatory support.

Kinking or bending of the catheter: The IAB catheter is a flexible tube that is inserted into the aorta. If the catheter gets kinked or bent, it can restrict the flow of gas. This can happen during insertion or due to patient movement. Kinking or bending of the catheter can impair the inflation and deflation of the balloon, affecting its therapeutic function.

Malpositioning of the catheter tip: The catheter tip of the IAB needs to be positioned correctly within the aorta for optimal gas flow. If the catheter tip is not properly placed, it can result in inadequate gas delivery or uneven inflation and deflation of the balloon. Malpositioning can occur during insertion or due to catheter migration within the blood vessels.

Catheter malfunction: The IAB catheter itself may experience mechanical or technical issues that restrict gas flow. This can include problems with the catheter balloon, such as leaks or defects, which can impair its inflation and deflation capabilities. Catheter malfunction can compromise the intended hemodynamic support provided by the IAB.

It is important for healthcare professionals to monitor the gas flow through the IAB and promptly address any restrictions or complications that may arise. Regular assessment, proper placement, and careful handling of the catheter can help minimize the risk of flow restriction and ensure the effective functioning of the IAB.

To learn more about gas flow , Click here: brainly.com/question/31826423

#SPJ11

The question is to calculate the time of flight of a projectile of a plane on surface of Mars.

The projectile is an object which is launched at angle θ with the horizontal.

The projectile is launched with an initial velocity "u"

The path/trajectory of projectile is a parabola.

The maximum horizontal distance between the point of launching and the point of landing is defined as the range of projectile 'R'.

The maximum time taken by the projectile to be in air or to travel the complete trajectory is defined as the time of flight 'T'.

Both the time of flight and the range depend on the initial velocity and the angle of projection.

Also the two parameters depend on acceleration due to gravity 'g'.

It is mentioned that projectile has same maximum horizontal distance on the earth and Mars.

We have to calculate the time of flight on Mars.

The formula of time of flight T = 2 u sinθ / g

On the earth, g = 9.8 m/s²

The value of acceleration due to gravity on the surface of Mars =

1/3* acceleration due to gravity on the Earth.

Let g' is equal to acceleration due to gravity on Mars.

Then, g = g/3

The time of flight of projectile on the surface of mars T' = 2u sinθ/g

T' = 2u sinθ / (g/3)

T' = (2u sinθ*3)/g

T' = 6u sinθ / g

Therefore, the time of flight of projectile on mars is 6u sinθ / g.

To know more about projectile, refer: https://brainly.com/question/11422992

#SPJ4

Answer:

the one that has more negative sights so the first hand on your right :)

Answer:

b

Explanation:

Jim's displacement if Jim leaves his house and begins walking to his car in a straight line and he goes 2.0 m then returns to his house to get his keys, next, he leaves his house and travels 6.0 m to his car is 6 m

Δx = x2 - x1

Δx = Displacement

x2 = Final position

x1 = Initial position

Considering the house as origin,

Final position = 6 m

Initial position = 0

Δx = 6 - 0

Δx = 6 m

Displacement is the vector quantity that describes position change in a motion. Its scalar quantity distance describes the overall distance travelled during the entire motion.    

Therefore, Jim's displacement is 6 m

To know more about Displacement

https://brainly.com/question/28609499

#SPJ1

Answer:

v = √2gh

v = 7 m / s

Explanation:

For this exercise we can use the law of conservation of energy

starting point. In the roof

         Em₀ = U = m g h

final point. On the floor

          Em_f = K = ½ m v²

as there is no friction, the energy is conserved

          Em₀ = Em_f

          m g h = ½ m v²

          v = √2gh

In the exercise the height of the ceiling is not indicated, but in general the height of the ceiling of a house is h = 2.5 m

         v = √ (2 9.8 2.5)

         v = 7 m / s

Answer:

The correct option is A

Explanation:

Buoyancy can be described as the upward force that causes an object to float on water. When the buoyant force of a liquid is greater than the weight of an object, the object will move to the surface of the liquid and float (because the buoyant force would be able to push it upwards). If the buoyant force is lesser than the weight of the object, the object will sink (because the buoyant force would not be able to push the object upwards). And when the buoyant force and weight of an object cancel out, the object would be suspended at the depth that this occurs.

Thus, from the explanation above, it can be deduced that for an object to float, buoyant force must be greater than weight of the object. Thus, the correct option is A.

An object will float on a fluid when the buoyant force acting on the object is equal to the weight of the object. This condition is described by option C: Buoyant force equals weight.

When an object is placed in a fluid, it experiences an upward force called the buoyant force. The buoyant force is a result of the pressure difference between the top and bottom surfaces of the object. It depends on the density of the fluid and the volume of the object submerged in the fluid.

For an object to float, the buoyant force must be equal to the weight of the object. If the buoyant force is greater than the weight, the object will experience a net upward force and will rise to the surface. In this case, the object will not remain floating, but rather float upwards.

If the buoyant force is less than the weight, the object will experience a net downward force and will sink in the fluid. The object will not float but instead submerge into the fluid.

Learn more about buoyant force here:

https://brainly.com/question/15706301

#SPJ11

Answer:

In my opinion, the last option is "It changes with new observations made by astronomers". is correct as many new theories are still being made so many new things can be added later on.

Explanation:

hope it helps

Explanation:

The mechanical advantage(M.A) of a real machine is always less than its velocity ratio(V.R) because mechanical advantage decreases due to the friction and weight of moving parts of the machine whereas the velocity ratio remains constant. ... Because of friction, air resistance, this Ideal situation would never be achieved.

Answer:

1) 3 applications of pressure in daily life are :-

● The area of sharp edge of knife, scissor or handsaws are much less then blunt edge. So, for same total force pressure is more for sharp edges than the blunt one. Hence sharp knife, scissors etc, cuts easily than a blunt one.

●Broad handles in bags and suitcases are provided for the comfort. Broad handles have large area. So, the pressure exerted on hands and shoulders would be small while carrying the bags and the suitcases.

●Trucks carrying heavy loads have more than four tyres. More tyres in case of trucks increase the area of contact with the road. This results in reduced pressure on the tyres.

2) Area of the surface which is on ground = 1.5×1

= 1.5m^2

Mass of the block = 300kg

Force applied by the block = Mass × g = 300×10

= 3000N (where g = acceleration due to gravity )

Pressure = Force applied / Area of the surface

= 3000N / 1.5m^2

= 2000 Pa

3)

a) The above experiment signifies that more the area of the surface of an object , less the pressure an object applies.

b) B exerts the minimum pressure because the area of its surface to ground is greater than others & as it has more area of surface , it exerts less pressure. ( area is inversely proportional to pressure )

c) D exerts the maximum pressure because the area of its surface to ground is lesser than others & as it has less area of surface , it exerts more pressure. ( area is inversely proportional to pressure )

d) It depend upon the way an object is kept on ground. If an object is kept in such a way dat the area of the surface to the ground is more , then pressure will be least exerted .If an object is kept in such a way dat the area of the surface to the ground is less, then pressure will be exerted more .

e) Do it yourself . only i will suggest that make the tip of the cone ( which is to the ground ) more narrower.

Explanation:

Answer:

Waves. Refraction is an effect that occurs when a light wave, incident at an angle away from the normal, passes a boundary from one medium into another in which there is a change in velocity of the light. ... The wavelength decreases as the light enters the medium and the light wave changes direction.

Explanation:

As a wavelength increases in size, its frequency and energy (E) decrease. From these equations you may realize that as the frequency increases, the wavelength gets shorter. ... Mechanical and electromagnetic waves with long wavelengths contain less energy than waves with short wavelengths.

Answer:

23 hours, 56 minutes

Answer:

2.5 Hz

Explanation:

3.0m/s / 1.2 m=2.5 1/s=2/5 Hz

The frequency of a wave with speed of 3.0 m/s and has a wavelength of 1.2m is 2.5 Hz.

The frequency of a wave is the number of cycles per second.

Given the wavelength is 1.2 m and speed v =3.0m/s, then the frequency of the wave is

v =fλ

f = 3 / 1.2

f = 2.5 Hz

Thus, the frequency of the wave is 2.5 Hz.

Learn more about frequency.

https://brainly.com/question/8304265

#SPJ2

Answer:

D.Measurements made on these particles will be correlated.

Explanation:

Plants recycle hydrogen in cellular respiration through a process that involves breaking down glucose and other organic compounds to release energy, carbon dioxide, and water. During this process, the hydrogen in glucose is recycled as water (option a) and released into the environment.

In cellular respiration, plants consume glucose and oxygen to generate energy. The glucose is broken down in a process known as glycolysis, which produces two molecules of pyruvate and hydrogen ions. These hydrogen ions are then transported to the mitochondria, where they are used to generate ATP. During this process, the hydrogen ions combine with oxygen to form water, which is then released into the environment as a byproduct of cellular respiration.The recycling of hydrogen in cellular respiration is essential for plant survival as it allows them to maintain a balance of resources in their environment. The water produced by the recycling of hydrogen is also critical for plant growth and the maintenance of the ecosystem as a whole.In conclusion, plants recycle hydrogen during cellular respiration by breaking down glucose and other organic compounds to release energy, carbon dioxide, and water. The hydrogen in glucose is recycled as water, which is released into the environment as a byproduct of the process. This recycling process is vital for plant survival and the maintenance of the ecosystem.

learn more about cellular respiration Refer: https://brainly.com/question/13721588

#SPJ11

Work done on the jet by the catapult is 3.31x10⁷j

We are given that,

Thrust = F = 2.10105N

As a result, the work performed by the engines and the catapult will be equal to the kinetic energy of the jet at takeoff. then the formula can be used to determine the work the jet did.

Work done by the engines = Force x Distance

Work done by the engines,

(2.10 X 10⁵J)x 90m = 1.89 x 10⁷J

Total kinetic energy = 5.20x 10⁷J

The total kinetic energy minus the work produced by the engines is the amount of work the catapult does on the jet.

Therefore the

work done on the jet by the catapult =( 5.20 X 10⁷J) -(1.89 X 10⁷) work done on the jet by the catapult = 3.31x10⁷j

To know more about Work done

https://brainly.com/question/13780707

#SPJ4

Answer:

(A) Gravity pulls the rock toward the center of the Earth.

Explanation: