A spring is compressed between two carts, one with a mass of 5kg and the other with a 15 kg. Which will move away with higher velocity? Assume the momentum of the first cart is equal to the momentum of the second cart. V1and V2are the velocities of cart 1 and cart 2 respectively

Answers

Answer 1

Given,

The mass of the cart 1, m₁=5 kg

The mass of the cart 2, m₂=15 kg

The velocity of cart 1 is V₁

The velocity of cart 2 is V₂

The momentum of both carts is the same.

The momentum of an object is the product of the mass of the object and its velocity.

As the momentum of both carts is the same we have,

[tex]m_1V_1=m_2V_2[/tex]

On substituting the known values,

[tex]\begin{gathered} 5V_1=15V_2 \\ \Rightarrow V_1=3V_2 \end{gathered}[/tex]

Thus the velocity of cart 1 is three times the velocity of cart 2.

Therefore, cart 1 will move away with a higher velocity.


Related Questions

A 120 kg car accelerates from initial speed 5.0 m/s to final speed 10.0 m/s in 5.0 seconds. How much power (watts) does that require?

Answers

In order to determine the required power, use the following formula:

[tex]P=\frac{W}{t}[/tex]

where

t: time = 5.0 s

W: work

calculate the work W as follow:

[tex]W=F\cdot d=m\cdot a\cdot d[/tex]

where

m: mass = 120 kg

a: acceleration = ?

d: distance

calculate the acceleration as follow:

[tex]a=\frac{v-v_0}{t}=\frac{10.0\text{ m/s- 5.0m/s}}{5.0s}=1\frac{m}{s^2}[/tex]

the distance can be obtained by using the following formula:

[tex]d=v_0\cdot t+\frac{1}{2}at^2=(\frac{5.0m}{s})(5.0s)+\frac{1}{2}(\frac{1m}{s^2})(5.0s)^2=37.5m[/tex]

then, replace the previous values of a and d to calculate W:

[tex]W=(120kg)(\frac{1m}{s^2})(37.5m)=4500J[/tex]

Finally, replace W and d into the formual for the power P:

[tex]P=\frac{4500J}{5.0s}=900W[/tex]

Hence, 900 watts are required to accelerate the car.

I am unsure of how to get the answer for this question. Please help!

Answers

ANSWER:

c) 5.4

STEP-BY-STEP EXPLANATION:

Given:

u = 54 km/h

v = 32 km/h

d = 65 m = 0.065 km

We can calculate the time starting from the following equation:

[tex]d=\mleft(\frac{u+v}{2}\mright)\cdot\: t[/tex]

We solve for t:

[tex]t=\frac{d}{\mleft(\frac{u+v}{2}\mright)}[/tex]

We substitute and calculate the time in hours, then convert that time to seconds, just like this:

[tex]\begin{gathered} t=\frac{0.065}{\frac{54+32}{2}}=0.00151\text{ h} \\ t=0.00151\text{ h}\cdot\frac{3600\text{ sec}}{1\text{ h}} \\ t=5.4\text{ sec} \end{gathered}[/tex]

Therefore, the time it would take is 5.4 seconds

Hello there, to start off. I am BLIND literely and can't read the graphics on the website so the information about how to answer these problems needs to be written out. I am sorry but just how it is. Now the question. You are camping with two friends, Joe and Karl. Since all three of you like your privacy, you don't pitch your tents close together. Joe's tent is 21.5 m from yours, in the direction 21.5 ∘ north of east. Karl's tent is 44.5 m from yours, in the direction 40.5 ∘ south of east.Part AWhat is the distance between Karl's tent and Joe's tent?

Answers

The three tents form a triangle with two sides given by the distances between your tent and the tents of your friends; the remaining side is the distance between Joe's and Karl's tents.

To determine this side (and hence this distance) we need to notice that the angle between the two known sides is the addition of the angles between those sides and your position, hence the angle between the sides is 62°.

Now that we know this we can use the cosine law to determine the distance between the tents. The cosine law states that:

[tex]c^2=a^2+b^2-2ab\cos \gamma[/tex]

this means that the squared of the distance we are looking for is equal to the sum of the squares of the other two distances minus twice the product of the other two sides and the cosine of the angle between them.

Then we have that:

[tex]\begin{gathered} c=\sqrt[]{21.5^2+44.5^2-2(21.5)(44.5)\cos (62)} \\ c=39.3 \end{gathered}[/tex]

the distance we are looking for is the square root of twenty one point five squared plus forty four point five squared minus two multiplied by twenty one point five by forty four point five by the cosine of 62.

By making the operations we conclude that the distance between Joe's and Karl's tents is thirty nine point three meters

Two forces act on an object as shown. Calculate the magnitude of the resultant force.[ Hint: Use the Pythagorean Theorem]

Answers

Using law of vector addition , the magnitude (R) of resultant force is given by

[tex]\begin{gathered} R=\sqrt{30^2+40^2+2\times30\times40\sin90\degree;} \\ R=\text{ }\sqrt{4900}=\text{ 70N}\begin{cases}sin90\degree={1} \\ \end{cases} \end{gathered}[/tex]

Final answer is 70 N.

Note:- we need to use law of vector addition to get resultant of two forces but we cant use Pythagorean theorem for vector .

A car has a velocity of 21.3 m/s. It then accelerates at a uniform rate of 3.6 m/s per second for the next 5.0 seconds. What distance does the car cover during this time? Round to 4 decimal places if necessary

Answers

Explanation

U uniformly accelerated motion is the one in which the acceleration of the particle throughout the motion is uniform,the formula to find the distance is as follows:

[tex]\begin{gathered} x=v_ot+\frac{1}{2}at^2 \\ where \\ v_o\text{ is the initial velocity} \\ t\text{ is the time} \\ a\text{ is the acceleration} \end{gathered}[/tex]

so

Step 1

a)let

[tex]\begin{gathered} v_o=21.3\text{ }\frac{m}{s} \\ a=3.6\frac{m}{s^2} \\ t=5\text{ s} \end{gathered}[/tex]

b) now,replace in the formula and calculate

[tex]\begin{gathered} x=v_{o}t+\frac{1}{2}at^{2} \\ x=21.3\frac{m}{s}*5s+\frac{1}{2}3.6\frac{m}{s^2}*(5\text{ s\rparen}^2 \\ x=106.5\text{ m}+45\text{ m} \\ x=151.5\text{ m} \end{gathered}[/tex]

therefore, the answer is 151.5 meters

I hope this helps you

Part AA space vehicle accelerates uniformly from 80m/s att 0 to 167 m/s att 10.0 sHow far did it move between t = 2.0 s and t - 6.08 ?Express your answer to two significant figures and include the appropriate units.

Answers

Given:

Velocity at t = 0: 80 m/s

Velocity at t = 10.0 s: 167 m/s

Let's find the distance it covered between t = 2.0s and t = 6.0 s

Apply the kinematics formula:

[tex]v=u+at[/tex]

Where:

v is the final velocity ==> 167 m/s

u is the initial velocity ==> 80 m/s

a is the acceleration

t is the time ==> 10.0 - 0 = 10.0 s

Now, let's find the acceleration.

Rewrite the formula for a:

[tex]\begin{gathered} a=\frac{v-u}{t} \\ \\ a=\frac{167-80}{10} \\ \\ a=\frac{87}{10} \\ \\ a=8.7m/s^2 \end{gathered}[/tex]

The acceleration is 8.7 m/s²

To find the distance, apply the formula:

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

Thus, we have:

• At t = 2.0 s:

[tex]\begin{gathered} d_1=80(2)+\frac{1}{2}(8.7)(2)^2 \\ \\ d_1=160+17.4 \\ \\ d_1=177.4\text{ m} \end{gathered}[/tex]

• At t = 6.0 s:

[tex]\begin{gathered} d_2=ut+\frac{1}{2}at^2 \\ \\ d_2=80(6)+\frac{1}{2}(8.7)(6)^2 \\ \\ d_2=480+156.6 \\ \\ d_2=636.6\text{ m} \end{gathered}[/tex]

To find the distance traveled between t = 2.0 s and t = 6.0 s, we have:

d = d2 - d1 = 636.6 m - 177.4 m

d = 459.2 m

Therefore, the distance traveled betwen t = 2.0 s and t = 6.0 s is 459.2 m

ANSWER:

459.2 m

An eagle goes straight up with an initial velocity of 75m/s toward its food. Its food is located 250m above the ground. How fast will the eagle be moving when she reaches her food?

Answers

The vertical distance covered by the eagle can be given as,

[tex]h=ut+\frac{1}{2}gt^2[/tex]

Plug in the known values,

[tex]\begin{gathered} 250m=(75\text{ m/s)t+}\frac{1}{2}(-9.8m/s^2)t^2 \\ -(4.90ms^{-2})t^2+(75\text{ m/s)t-250m=0} \\ (4.90ms^{-2})t^2-(75\text{ m/s)t+250 m=0} \end{gathered}[/tex]

The above equation can be further solved as,

[tex]\begin{gathered} t=\frac{75\text{ m/s}\pm\sqrt[]{(75m/s)^2-4(4.90ms^{-2})(250\text{ m)}}}{2(4.90ms^{-2})^{}} \\ =\frac{75\text{ m/s}\pm26.9\text{ m/s}}{9.80m/s^2} \\ =10.4\text{ s, }4.91\text{ s} \end{gathered}[/tex]

Therefore, the time taken by eagle to reach at food is 10.4 s or 4.91 s.

An ocean A. Open system B. Closed system C . Isolated

Answers

ANSWER:

A. Open system

STEP-BY-STEP EXPLANATION:

The ocean is a component of the hydrosphere, and the ocean surface represents the interface between the hydrosphere and the atmosphere above it. Which means that it generates an exchange of matter and energy, so the ocean is an example of an open system.

An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s.

Answers

The tangential velocity of the ball will be 1.53 m/s

What is tangential velocity?

Tangential velocity is the linear component of an object's velocity moving along a circular path. If an object moves in a circular orbit with a distance r from the center, the object's velocity is always directed tangentially. This is called tangential velocity. Any instantaneous linear velocity is also said to be its tangential velocity.

The rate of change of the object's angular displacement is the angular velocity. It is represented by ω and its standard unit is radians/second. It differs from linear velocity as it only deals with objects moving in circular motion. So we measure the speed at which the angular displacement is swept.

Tangential speed = angular speed × radius of the circle

[tex]V_{t}[/tex] = r×ω

For the given case,

Radius (r) = 0.9 m

Angular speed (ω) = 0.27 rev/sec = 1.70 rad/sec

tangential speed ([tex]V_{t}[/tex]) =  0.9 × 1.70  = 1.53 m/s

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"An athlete swings a 7.9 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.9 m at an angular speed of 0.27 rev/s. What is the tangential velocity of ball?"

The spectral classification for spica is B1V. This means it is A. A red giant star since B1 means it is very large B. A whit dwarf star since it is B1,hence it lies along the left edge of the HR for blue C.a blue giant star since it is B1, whee B stands for blue D. A main sequence star as indicated by V

Answers

The given spectral classification for spica is B1V.

B1 means it is B type star which have very high temperature and high mass. Due to its high temperature it will emit the light of lower wavelength which corresponds to blue color.

Thus, B1V is a white dwarf star since it is B1, hence it lies along the left edge of HR for blue which means option (B) is correct.

Consider a container filled with coconut oil having a density of 0.903 g/ml, What is the gauge pressure (Pa) 6.35 cm below the surface? 1ml = 1cm^3, 1000g = 1kg

Answers

The gauge pressure is 562.5 Pa.

Given data:

The density of oil is ρ=0.903 g/ml.

The distance below the surface is h=6.35 cm.

The density in kg/cm³ will be,

[tex]\begin{gathered} \rho=0.903\text{ g/ml }\times\frac{1\text{kg}}{1000\text{ g}}\times\frac{1\text{ml}}{1\text{ }cm^3}\times\frac{10^6\text{ }cm^3}{1m^3} \\ \rho=\frac{903kg}{m^3} \end{gathered}[/tex]

The gauge pressure can be calculated as,

[tex]\begin{gathered} p=\rho gh \\ p=(\frac{903kg}{m^3})(\frac{9.81m}{s^2})(6.35cm\times\frac{1\text{ m}}{100cm}) \\ p=\frac{562.5kg}{ms^2}\times\frac{1\text{ Pa}}{\frac{kg}{ms^2}} \\ p=562.5\text{ Pa} \end{gathered}[/tex]

Thus, the gauge pressure is 562.5 Pa.

A 230-g mass hangs from a string that is wrapped around a pulley, as shown in the figure. The pulley is suspended in such a way that it can rotate freely. When the mass is released, it accelerates toward the floor as the string unwinds. Model the pulley as a uniform solid cylinder of mass 1.00 kg and radius 5.00 cm. Assume that the thread has negligible mass and does not slip or stretch as it unwinds.

Determine the magnitude of the pulley's angular acceleration.

Determine the magnitude of the acceleration of the descending weight.

Calculate the magnitude of the tension in the string.

Answers

The 230-g mass hanging from the 5.00 cm, 1.00 kg pulley and later accelerating as the string unwinds indicates that the parameters of the forces on the mass and pulley are as follows;

The angular acceleration of the pulley is approximately 61.8 m/s²The magnitude of the acceleration of the weight is approximately 3.09 m/s²The tension in the string is approximately 1.5456 N

What is an angular acceleration of a rotating body?

Angular acceleration is the rate at which angular velocity changes with time.

Mass attached to the pulley string, M = 230-g = 0.23 kg

Mass of the pulley, m = 1.00 kg

Radius of the pulley = 5.00 cm = 0.05 m

The equations that can be used are;

a = r·αT·r = I·αm·g - T = m·av = ω·r

Where;

a = The acceleration of the weight

α = The angular acceleration of the pulley

m = Mass of the attached weight

T = The tension in the string

v = The linear velocity

ω = The angular velocity of the pulley

Moment of inertia of the pulley, I = M·r²/2

Therefore, T = ((M·r²/2)/r) × (a/r) = M·a/2

m·g - M·a/2 = m·a

m·g = M·a/2 + m·a = a·(m + M/2)

a = m·g/(m + M/2)

The acceleration of the weight, a = 0.23 × 9.81/(0.23 + 1/2) ≈ 3.09

The acceleration of the weight, a ≈ 3.09 m²/s

The angular acceleration of the pulley, α = a/r

Therefore;

The angular acceleration of the pulley, α = 3.09/0.05 ≈ 61.8 m²/s

The tension in the string, T = m·g - m·a

Therefore;

T = 0.23 × 9.81 - 0.23 × 3.09 = 1.5456

The tension in the string, T ≈ 1.5456 N

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Select all of the following that are equal to an impulse of 30 units.
A. Force = 30, time = 1.2
B. Force = 0.1, time = 300
I C. Force = 6, time = 4
D. Force = 10, time = 3

Answers

ANSWER

B and D

EXPLANATION

The impulse is the product of the force applied to an object and the amount of time the force is applied

[tex]\Delta p=F\cdot\Delta t[/tex]

Let's find the impulse with the information on each option.

A. F = 30, Δt = 1.2

[tex]\Delta p=30\cdot1.2=36[/tex]

B. F = 0.1, Δt = 300

[tex]\Delta p=0.1\cdot300=30[/tex]

C. F = 6, Δt = 4

[tex]\Delta p=6\cdot4=24[/tex]

D. F = 10, Δt = 3

[tex]\Delta p=10\cdot3=30[/tex]

The options that have an impulse equal to 30 are B and D

a radio station broadcast a program at 128.7 Mhz. calculate the wavelength of the radiowave at this frequency

Answers

The wavelength of the radio wave is 2.33 meters.

Given that the frequency of the radio wave is 128.7MHz.

[tex]128 MHz = 128 * 10^{6} Hz[/tex]

Radio waves are electromagnetic waves. All electromagnetic waves (including radio waves ) travel at a speed [tex](c)[/tex] of  [tex]3*10^{8} m/s[/tex].

The speed of the radio wave is given by speed = frequency*wavelength.

Hence, the wavelength of the radio wave can be calculated as,

[tex]wavelength = \frac{speed}{frequency}[/tex]

Thus,  [tex]wavelength = \frac{3*10^{8} }{128.7*10^{6} } meters.[/tex]  

                             [tex]=2.33 meters.[/tex]

Hence, the wavelength of the radio wave is [tex]2.33 meters.[/tex]

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Christie and Daisy measured the applied forces while pulling on opposite ends of a rope, but they forgot to fill in their table ofresults shown below. Predict the most likely values that belong in Box C and Box D.Scale 1 (Christie) Scale 2 (Daisy) Observed Effect on Motion2 kg2 kgBox A3 kgBox BRope moved toward DaisyBox CBox DRope moved toward Christie(1 point)O Box C 4 kg; Box D: 4 kgO Box C: 3 kg, Box D: 3 kgO Box C: 4 kg, Box D: 3 kgO Box C: 3 kg; Box D: 4 kg

Answers

To find:

Most likely values that belong in box C and box D.

Explanation:

From Newton's second law of motion, the net force acting on an object is equal to the product of the mass of the object and the acceleration of the object produced due to the net force.

That is,

[tex]\vec{F}=m\vec{a}[/tex]

Thus the object will accelerate in the direction of the net force.

It is given that in the third trail, the box moves towards Christie. Thus the net force is directed towards the Christie. Thus the force applied by Christie must be greater than the force applied by Daisy.

Final answer:

Thus the correct answer is option C.

URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!!

Answers

Answer:

the answer is B

Explanation:

because the hot air is transferred through heating being irrational from a thermal burning, because how the oven works

Find the work W W done by the 30-newton force.

Answers

The work done by the 30 newton force is 4156.8 J

How do I determine the work done?

We know that work done is defined according to the following formula:

Work done (Wd) = force (F) × distance (d)

Wd = fd

Where angle projection is involved, the work done is defined as follow::

Wd = FdCosθ

Haven know the formula for calculating work done, we shall thus, determine the work done by the 30 newton force as follow:

Force (F) = 30 newtonAngle (θ) = 30 degreesDistance (d) = 160 mWorkdone (Wd) =?

Wd = FdCosθ

Wd = 30 × 160 × Cos 30

Wd = 4800 × 0.8660

Wd = 4156.8 J

Thus, from the calculation made above, we can conclude that the work done is 4156.8 J

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Missing part of question:

See attached photo

When 2 identical charged particles get closer to each other the strength of theelectrical force between them.A. increasesB. stays the sameC. decreasesD. you have to know the amount of the charge on the particles to answer

Answers

Given

2 identical charged particles get closer to each other

To find

The strength of the electrical force between them.

Explanation

The electrostatic force is indirectly proportional to the square of the distance between the charges.

So as the distance decreases, the electric force increases.

Conclusion

The correct opttion is

A. increases

MULTIPLE CHOICE QUESTION Which word is synonymous to tension? Push Pull

Answers

Answer:

Pull

Explanation:

Tension is a pulling force that is transmitted in a string, rope or cable.

Therefore, tension is synonymous to pull

The diagram below shows an example of an object on which tension is transmitted.

It is a pull because it is tranmitted towards the source rather than away from the source

At the bottom of the first hill, the 300 kg car is traveling 39.6 m/s. What is the kinetic energy of the car at this point? (ignore friction forces)

Answers

ANSWER:

1st option: 235,000 J

STEP-BY-STEP EXPLANATION:

Given:

Mass (m) = 300 kg

Speed (v) = 39.6 m/s

We can calculate the kinetic energy using the following formula:

[tex]\begin{gathered} E_K=\frac{1}{2}mv^2 \\ \text{ We replacing:} \\ E_K=\frac{1}{2}\cdot300\cdot39.6^2 \\ E_K=235224\cong235000\text{ J} \end{gathered}[/tex]

The kinetic energy is 235000 J.

The net torque of a bod about certain axis of rotation is 150 Nxm. You recalculate the net torque about a different axis of rotation. If your work is correctyou have to find the same number.is this tstemnt true or false?

Answers

Every individual torque acting on the body depends on the axis of rotation, however the net torque is independent of the axis we choose. Therefore, the statement is true.

2. A Roborovski hamster attempts to cross a desert road in Mongolia. He first moves to the right 70 cm, then to the left 30 cm, the back to the right 90 cm and then finally back to the left for 370 cm. What is the total displacement of the hamster? What was the average speed of the little fellow if it took him 6's to bust those moves? What is the average velocity in the same time interval?​

Answers

The total displacement of the hamster is 240 cm.

The average speed of the little fellow is 93.33 cm/seconds.

What is distance?

Distance is a scalar quantity that indicates "how much ground an object has covered" while moving. Displacement is a vector quantity that describes "how far out of place an object is"; it is the overall change in the position of the object.

The average speed is calculated by dividing the total distance traveled by the total time it took to travel that distance. Speed is the rate at which something moves at any given time. Average speed is the average rate of speed over the course of a journey.

For total displacement:

taking right as +ve direction

Travel D = +70 - 30 + 90 - 370

Displacement = 240 cm

Total distance travelled will be:

= 70+30+90+370

= 560 cm

Average speed will be:

= Total distance travelled /time

= 560/6

= 93.33 cm/sec

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Find the final temperature of the thermometer assuming no heat flows to the surroundings

Answers

ANSWER

[tex]\begin{equation*} 71.51\degree C \end{equation*}[/tex]

EXPLANATION

Parameters given:

Mass of thermometer, m = 300 g

Initial temperature of thermometer, t1 = 35°C

Volume of water, V = 258 cm³

Initial temperature of water, T1 = 80°C

First, let us find the mass of the water using the formula for density:

[tex]\begin{gathered} \rho=\frac{M}{V} \\ \Rightarrow M=\rho *V \end{gathered}[/tex]

where ρ = density of water = 1 g/cm³

Therefore, the mass of the water is:

[tex]M=1*258=258g[/tex]

According to the conservation of energy, the total heat flow (the sum of the heat energy of the thermometer and water) must be equal to 0 since no heat flows to the surroundings:

[tex]\begin{gathered} Q_g+Q_w=0 \\ mc(T-t_1)+MC(T-T_1)=0 \end{gathered}[/tex]

where c = specific heat capacity of glass thermometer = 0.2 cal/g°C

C = specific heat capacity of water = 1 cal/g°C

T = final temperature of thermometer and water

Hence, solving for T, we have that:

[tex]\begin{gathered} T=\frac{mct_1+MCT_1}{mc+MC} \\ T=\frac{(300*0.2*35)+(258*1*80)}{(300*0.2)+(258*1)} \\ T=\frac{2100+20640}{60+258}=\frac{22740}{318} \\ T=71.51\degree C \end{gathered}[/tex]

That is the final temperature of the thermometer.

Which element is a good material for use as a semiconductor?copperoxygensiliconsodium

Answers

To find:

Which of the given elements is a good material for semiconductor?

Explanation:

The silicon is widely used for the manufacturing of semiconductors. The stable structure of the silicon makes it a suitable candidate for the manufacture of semiconductors. The silicon is widely abundant in nature. This makes it economical.

37.Why is hot water used to loosen a sealed jar lid?Select one:a. The jar contracts when heated.b. The lid expands when heated.c. The lid contracts when heated.d. The jar and the lid both contract.

Answers

Answer:

Explanation:

Heat causes expansion of the lid at a faster rate th

Heat causes expansions of the lid at at a faster rate

E. O-27.7 m/s9. An object of mass 2 kg moving with a speedof 26 m/s to the right collides with an objectof mass 13 kg moving with a speed of 2 m/sto the left. If the collision is completely inelastic,calculate their speed after collision. (1 point)A. O-0.831 m/sB. O 1.733 m/sC. 06.089 m/sD. O5.39 m/sE. O 0.388 m/s10. An object of mass 16 kg moving with a speed

Answers

Given

Mass of an object, m=2 kg

Velocity of the object, u=26 m/s towards right

Mass of the other object, m'=13 kg

Speed of the object, u'=2 m/s towards left

To find

If the collision is completely inelastic,calculate their speed after collision.

Explanation

Since the collision is perfectly inelastic, so after collision both the body would combine together and move as one

Let the velocity after collision be v.

Considering the direction towards right as positive.

Thus,

By conservation of momentum

[tex]\begin{gathered} mu+m^{\prime}u^{\prime}=(m+m^{\prime})v \\ \Rightarrow2\times26-13\times2=(2+13)v \\ \Rightarrow v=1.733\text{ m/s} \end{gathered}[/tex]

Conclusion

The velocity is B. 1.733 m/s

a student who weighs 556 Newtons climbs the stairway (vertical height of 4.0 m) in 25 s (a) how much work is done (b) what is the power output of the student

Answers

Given data:

Weight of the student;

[tex]\begin{gathered} F=mg \\ =556\text{ N} \end{gathered}[/tex]

Height;

[tex]h=4.0\text{ m}[/tex]

Time;

[tex]t=25\text{ s}[/tex]

Part (a)

The work done by the student is given as;

[tex]W=Fh[/tex]

Substituting all known values,

[tex]\begin{gathered} W=(556\text{ N})\times(4.0\text{ m}) \\ =2224\text{ J} \end{gathered}[/tex]

Therefore, the work done by the student is 2224 J.

Part (b)

The power is defined as the rate of doing work. Mathematically,

[tex]P=\frac{W}{t}[/tex]

Substituting alll known values,

[tex]\begin{gathered} P=\frac{2224\text{ J}}{25\text{ s}} \\ =88.96\text{ W} \end{gathered}[/tex]

Therefore, the power output of the student is 88.96 W.

How much heat transfer is required to completely boil 3500 g of water (already at its boiling point of 100°C) into a gas?answer in joules

Answers

Answer:

7910000 J

Explanation:

The heat transfer to phase change is calculated as:

[tex]Q=mH_v[/tex]

Where m is the mass and Hv is the heat of vaporization.

For water, Hv = 2260 J/g.

So, replacing m = 3500 g and Hv = 2260 J/g, we get:

Q = 3500 g (2260 J/g)

Q = 7910000 J

Therefore, the answer is:

7910000 J

Which two notes are not an octave apart?1) 256 Hz and 512 Hz2) 262 Hz and 524 Hz3) 331 Hz and 622 Hz4) 277 Hz and 554 Hz

Answers

ANSWER

Option 3

EXPLANATION

Two notes are said to be an octave apart when the frequency of one note is exactly 2 times the other. In other words, it has twice as many waves.

Let us calculate the ratio of each option:

[tex]\begin{gathered} \Rightarrow\frac{512}{256}=2 \\ \Rightarrow\frac{524}{262}=2 \\ \Rightarrow\frac{622}{331}=1.88 \\ \Rightarrow\frac{554}{277}=2 \end{gathered}[/tex]

As we can see, only in option 3 is the higher frequency not exactly 2 times the lower frequency.

Therefore, the answer is option 3.

3. What are the charges and location of each of the parts of the atom?

Answers

There are two parts main parts of the atoms they are the nucleus and the orbits.

The atom mains consists of three particles, protons, neutrons, and electrons.

The protons are positively charged particles. The charge of a proton is 1.602×10⁻¹⁹ C. And the neutron does not possess any charge. The neutrons are neutral particles. Protons and neutrons are located at the nucleus of an atom.

The electrons are negatively charged particles. The charge of an electron is -1.602×10⁻¹⁹ C. The electrons will be orbiting the nucleus. Thus they are located around the nucleus of an atom.

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