Two figure skaters, one weighing 625 N and the other 725 N, push off against each other onfrictionless ice. If the heavier skater travels at 1.5 m/s, how fast will the lighter one travel?A 1.7 m/sB 2.8 m/sC -1.7 m/sD -2.8 m/s

Answers

Answer 1

We are given the following information:

Weight of skater 1 = 625 N

Weight of skater 2 = 725 N

Final velocity of skater 2 = 1.5 m/s

Final velocity of skater 1 = ?

Recall from the law of conservation of momentum, the total momentum before the collision and after the collision must be equal.

[tex]\begin{gathered} p_{before}=p_{after} \\ m_1u_1+m_2u_2=m_1v_1+m_2v_2 \end{gathered}[/tex]

The initial velocities of both skaters are 0 m/s

[tex]m_1\cdot0_{}+m_2\cdot0=m_1v_1+m_2v_2[/tex]

Also, m = W/g

[tex]\begin{gathered} 0=m_1v_1+m_2v_2 \\ 0=(\frac{625}{9.8})\cdot_{}v_1+(\frac{725}{9.8})\cdot1.5 \\ (\frac{625}{9.8})\cdot_{}v_1=-(\frac{725}{9.8})\cdot1.5 \\ (63.78)\cdot_{}v_1=-110.97 \\ _{}v_1=-\frac{110.97}{63.78} \\ _{}v_1=-1.7\: \frac{m}{s} \end{gathered}[/tex]

So, the lighter skater will travel with a velocity of 1.7 m/s

The negative sign means that the lighter skater will be traveling oppositely to the heavier skater.


Related Questions

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 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.

i would like some help with this problem, i already tried to complete it on my own but would like to check my answer

Answers

Given:

Two circuits with multiple resistors

To find:

The net resistance of the circuits

Explanation:

For the first circuit

The equivalent series resistance of the 1 and 2 is,

[tex]\begin{gathered} R_1+R_2 \\ =20+16 \\ =36\text{ ohm} \end{gathered}[/tex]

The equivalent series resistance of the 4 and 5 is,

[tex]\begin{gathered} 10+14 \\ =24\text{ ohm} \end{gathered}[/tex]

The net resistance of the resistances is,

[tex]\begin{gathered} \frac{1}{R}=\frac{1}{36}+\frac{1}{24}+\frac{1}{12} \\ \frac{1}{R}=\frac{11}{72} \\ R=\frac{72}{11}\text{ohm} \\ R=6.54\text{ ohm} \end{gathered}[/tex]

Hence, the net resistance of the upper circuit is 6.54 ohms.

For the circuit below:

[tex]R_2,\text{ R}_3,\text{ R}_4\text{ are in series}[/tex]

So, the equivalent resistance is,

[tex]\begin{gathered} R_2+R_3+R_4 \\ =2+2+2 \\ =6\text{ ohm} \end{gathered}[/tex]

This equivalent resistance in parallel with

[tex]R_5[/tex]

So, the equivalent resistance is,

[tex]\begin{gathered} \frac{6\times2}{6+2} \\ =1.5\text{ ohm} \end{gathered}[/tex]

Now 1.5 ohm is in series with the rest two resistances.

So, the net resistance is,

[tex]\begin{gathered} R_1+R_6+1.5 \\ =2+2+1.5 \\ =5.5\text{ ohm} \end{gathered}[/tex]

Hence, the net resistance of the circuit below is 5.5 ohms.

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.

an ocean moves at 22.9 m/s and has a wavelength of 27.0. with what frequency do the waves pass you?

Answers

[tex]\begin{gathered} v=22.9\text{ m/s} \\ \lambda=27m \\ f=? \\ v=\lambda f \\ f=\frac{v}{\lambda} \\ f=\frac{22.9\text{ m/s}}{27m} \\ f=0.848\text{ Hz} \\ The\text{ frequency is 0.848Hz} \end{gathered}[/tex]

What is the escape speed (in km/s) from an Earth-like planet with mass 4.9e+24 kg and radius 70.0 × 105 m? Use the gravitational constant G = 6.67 × 10-11 m3 kg-1 s-2.

Answers

Answer:

The escape velocity = 9.66 km/s

Explanation:

The mass of the planet is represented by m

[tex]m=4.9\times10^{24}\operatorname{kg}[/tex]

The radius is represented by r

[tex]r=70.0\times10^5m[/tex]

The gravitational constant is represented by G

[tex]G=6.67\times10^{-11}m^3kg^{-1}s^{-2}[/tex]

The escape velocity (v) is given by the formula:

[tex]\begin{gathered} v=\sqrt[]{\frac{2GM}{r}} \\ v=\sqrt[]{\frac{2\times6.67\times10^{-11}\times4.9\times10^{24}}{70\times10^5}} \\ v=\sqrt[]{\frac{65.366\times10^{13}}{70\times10^5}} \\ v=\sqrt[]{0.9338\times10^8} \\ v=\sqrt[]{93380000} \\ v=9663.33\text{ m/s} \\ v=9.66\text{ km/s} \end{gathered}[/tex]

The escape velocity = 9.66 km/s

The zombies are closing in on him and Mr. Mangan sees a ramp to his left. Hedrives at it and hits the ramp with a velocity of 30 m/s. If it took him 7 s toget to the ramp, what was his acceleration?

Answers

Given data

*The given velocity is v = 30 m/s

*The given time is t = 7 s

The formula for the acceleration is given as

[tex]a=\frac{v}{t}[/tex]

Substitute the values in the above expression as

[tex]\begin{gathered} a=\frac{30}{7} \\ =4.28m/s^2 \end{gathered}[/tex]

Hence, the acceleration is a = 4.28 m/s^2

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

Learn more about workdone:

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Missing part of question:

See attached photo

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

Learn more about displacement on:

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One closed organ pipe has a length of 2.24 meters. When a second pipe is played at the same time, a beat note with a frequency of 1.1 hertz is heard. By how much is the second pipe too long? Include units in your answer.

Answers

ANSWER

0.07 m

EXPLANATION

First, we have to find the frequency that the first pipe would play,

[tex]\lambda=4L=4\cdot2.24m=8.96m[/tex]

The frequency is,

[tex]f=\frac{v}{\lambda}=\frac{343m/s}{8.96m}=38.28125Hz[/tex]

The frequency played by the second pipe is,

[tex]f=38.25125Hz-1.1Hz=37.18125Hz[/tex]

The wavelength of this note is,

[tex]\lambda=\frac{v}{f}=\frac{343m/s}{37.18125s^{-1}}\approx9.2251m[/tex]

So the length of the second pipe is,

[tex]L=\frac{\lambda}{4}=\frac{9.2251m}{4}\approx2.31m[/tex]

The difference between the pipes' length is,

[tex]2.31m-2.24m=0.07m[/tex]

Hence, the second pipe is 0.07 meters too long

What will be the effect of multiplying negative scalar number with a vector.. Explain with the help of drawing.

Answers

When we multiply a vector by a scalar number, each dimension of the vector will be multiplied by the number.

For example, multiplying the vector <3, 4> by 2 would create the vector <6, 8>.

But if this scalar is negative, the dimensions of the vector will change the signal:

vector <3, 4> multiplied by -2 creates the vector <-6, -8>.

This causes the original vector to change its direction to the opposite direction, that is, it flips 180°:

The example of a book falling off of a table shows a(n) _____.1) contact force2) scalar quantity3) absence of acceleration4) field force

Answers

anotherGravity is the force of attraction between two objects. A gravitational force field is modeled as space around a massive body in which other bodies experiences force.

In Newtonian gravity, a particle of mass M creates a gravitational force field around itself given as,

[tex]g=\frac{GM}{r^2}[/tex]

Here, G is the universal gravitational constant, and r is the separation between the bodies.

Hence, the example of a book falling off of a table shows a(n) field force. Therefore, option (4) is the correct choice.

Please answer the questions

Answers

Answer:

Where's the question? So that i can answer it!

During a hockey game, two hockey players (m1 = 82kg and m2 = 76kg) collide head on in a 1 dimensional perfectly instant collision. If the first hockey player is moving to the left at a velocity 4.2 m/s and the second hockey player is moving in the opposite direction at a velocity of 3.4 m/s, how fast are they both moving after they collide, assuming they stick together after they collide? How much kinetic energy is lost as a result of the collision?

Answers

Given:

The mass of player 1 is m1 = 82 kg

The initial velocity of player 1 is

[tex]v_{i1}=\text{ 4.2 m/s}[/tex]

towards left.

The mass of player is m2 = 76 kg

The initial velocity of player 2 is

[tex]v_{i2}=\text{ -3.4 m/s}[/tex]

in opposite direction.

Required:

The final velocity after the collision assuming they stick together.

The loss of kinetic energy after collision.

Explanation:

According to the conservation of momentum, the final velocity will be

[tex]\begin{gathered} m1v_{i1}+m2v_{i2}=(m1+m2)v_f \\ v_f=\frac{m1v_{i1}+m2v_{i2}}{m1+m2} \\ =\text{ }\frac{(82\times4.2)-(76\times3.4)}{82+76} \\ =0.544\text{ m/s} \end{gathered}[/tex]

The loss in kinetic energy will be

[tex]\begin{gathered} \Delta KE=KE_{after}-KE_{before} \\ =\frac{1}{2}(m1+m2)(v_f)^2-\frac{1}{2}m1(v_{i1})^2-\frac{1}{2}m2(v_{i2})^2 \\ =\frac{1}{2}(82+76)(0.544)^2-\frac{1}{2}\times82\times(4.2)^2-\frac{1}{2}\times76\times(3.4)^2 \\ =23.38-723.24-439.28 \\ =-1139.14\text{ J} \end{gathered}[/tex]

Final Answer:

The final velocity after the collision assuming they stick together is 0.544 m/s.

The loss of kinetic energy after the collision is 1139.14 J.

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.

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.

a clay ball (0.65kg) is thrown at a wall and sticks. The speed of the ball before hitting the wall was 15 m/s. It took 45 miliseconds for the clay to come to a stop and make contact with the wall. What was the average force the wall exerted on the wall during the collision?

Answers

In order to determine the average force the wall exerted on the ball, use the following formula:

[tex]F=\frac{\Delta p}{\Delta t}[/tex]

where

Δp: change in momentum

Δt: change in time = 45 ms = 0.045 s

F: force = ?

calculate the change in momentum as follow:

[tex]\Delta p=m\Delta v=(0.65kg)(15\frac{m}{s}-0\frac{m}{s})=9.75\text{ kg}\cdot\text{m/s}[/tex]

next, replace Δp and Δt into the formula for F:

[tex]F=\frac{9.75\text{ kgm/s}}{0.045s}=216.67N[/tex]

Hence, the average force exterded by the wall on the ball was approximately 216.67N

a ray of light hits a flat mirror with an incident angle of 39.20 degrees. What angle does it reflect at? (do not put in units)

Answers

Given

A ray of light hits a flat mirror with an incident angle of 39.20 degrees.

To find

What is the angle of reflection?

Explanation

According to the law of reflection,

The angle of incidence is equal to the angle of reflection.

Here the angle of incidence is 39.20 deg

So the angle of reflection is 39.20 deg

Conclusion

The angle of reflection is 39.20 deg

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 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.

The largest single publication in the world is the 1112-volume set of British Parliamentary Papers for 1968 through 1972. The complete set has a mass of 3,548 kg. Suppose the entire publication is placed on a cart that can move without friction. The cart is at rest, and a librarian is sitting on top of it, just having loaded the last volume. The librarian jumps off the cart with a horizontal velocity relative to the floor of 2.65 m/s to the right. The cart begins to roll to the left at a speed of 0.03 m/s. Assuming the cart’s mass is negligible, what is the librarian’s mass? Round to the hundredths.

Answers

ANSWER:

40.17 kg

STEP-BY-STEP EXPLANATION:

Given:

m1 = 3548 kg

V1 = -0.03 m/s

V2 = 2.65 m/s

We apply law of conservation of linear momentum:

[tex]\begin{gathered} P_i=P_f \\ P_i=0 \\ P_f=m_1\cdot V_1+m_2\cdot V_2 \end{gathered}[/tex]

We replace and calculate the mass as follows:

[tex]\begin{gathered} m_1\cdot V_1+m_2\cdot V_2=0 \\ 3548\cdot-0.03+2.65\cdot m_2=0 \\ -106.44+2.65\cdot m_2=0 \\ m_2=\frac{106.44}{2.65} \\ m_2=40.17\text{ kg} \end{gathered}[/tex]

Therefore the mass is equal to 40.17 kg

Which of the following is NOT a characteristic of average speed?elloa. Average speed includes both the rate of motion and its direction.b. Average speed is the rate of motion.C. Average speed is always a positive value.d. The greater the speed of an object the faster it moves.

Answers

The average speed is defined as the total distance traveled by an object divided into the time that it takes for the object to travel that distance.

Average speed is a scalar quantity, which means that it can be represented using a number with no need of specifying a direction. Since the total distance is a positive value, then average speed is always also a positive value.

From the options, the statement "aveage speed includes both rate of motion and its direction" is false.

Therefore, the answer is: Option A.

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.

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

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

Which of the following is the type of force that pulls objects towards the center of motion?A. Inertia B. MomentumC. AccelerationD. Centripetal

Answers

When an object is in a circular motion, the acceleration responsible for changing the direction of the movement is known as the centripetal acceleration:

This acceleration points towards the center of the circular motion.

Using the second law of newton, we can find the centripetal force Fc:

[tex]F_c=m*a_c[/tex]

Therefore the force that pulls objects towards the center of motion is the centripetal force.

Correct option: D.

27. Write a number in scientific notation with4 sig figs, and 2 zeros

Answers

Answer:

1.600 x 10³

Explanation:

The numbers in scientific notation are multiplied by a power of 10, additionally, if there is a decimal point, all the numbers including zeros are significant figures. Therefore, a number in scientific notation with 4 significant figures and 2 zeros is:

1.600 x 10³

A 5.0n force is applied to a 3.0kg ball to change its velocity from +9.”m/s to +3.0 m/s. The impulse on the ball is _I think it’s -18

Answers

Given,

The force is F=5 N.

The mass is m=3.0 kg

The velocities are 9 m/s to 3 m/s

The impulse is:

[tex]\begin{gathered} I=m(v_f-v_i) \\ \Rightarrow I=3(9-3) \\ \Rightarrow I=\frac{18kgm}{s} \end{gathered}[/tex]

The answer is 18 kgm/s

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

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
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A 14.577 g sample of CaCl2 was added to 12.226 g of K2CO3 and mixed in water. A 3.554 g yield of CaCO3 was obtained. Calculate the percent yield of CaCO3. Whats the Square root of 32 to the power of 5 Reduce the rational expression to lowest terms. If it is already in lowest terms, enter the expression in the answer box. Also, specify any restrictions on the variable.y - 2y - 9y + 18/y + y - 6Rational expression in lowest terms:Variable restrictions for the original expression: y In the science field we use the metric units, this is due toA. Metric units are universally accepted.B. Metric is a universal scientific language.C. Both Graph the system and find the vertices (corners of the darkest shaded area, where the lines intersect) of the region.f(x) = 2x-3f(x) 3XS-2(0, -3). (2.0), (0,0)(-2, 3), (-2,-6), (4,3)(0, -3), (-2,3), (4,3)(3,-2).(-2,-6), (3, 4) Given 20 grams of Na (s) and 10 grams of Cly, which reactant is in excess? And, how much NaCl should be produced from these amounts of the two reactants? Deb's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 34 sodas in all, 50% of which were regular. How many regular sodas did the diner serve? Gene bought a living room suite for P85,000. He agreed to pay in 5 months at 12% simple interest rate. How much will he pay for the furniture? How is Confucianism different from Buddhism? Find the exact length of the floor clearance, using metres. what is the mass of a hiker 350m above the ground if her GPE is 120,200 J? 2. Which of the following is a renewable resource? *A. AirB. Fossil FuelsC. Minerals Most nutrient absorption happens in which structure within the digestive system?Question options:A) StomachB) Large intestineC) ChymeD) Duodenum what is the answer to 8.34x0.5 Find the length of the arc, S, on the circle of radius are intercepted by central angle zero. Express the arc length in terms of X. Then round your answer to two decimal places. Radius, our equals 8 inches; central angle, zero equals 135. First convert the degree measure into radians. Then use the formula S equals 0R, where S is the arc length zero is the measure of the central angle in radians and are is the radius of the circle Are the triangles below congruent?If so, write a congruence statement and say why janine's current investment portfolio is 50% growth stocks, 10% foreign stocks, and 40% blue-chip stocks. she is interested in further diversification. which of the following mutual funds should be recommended to janine to meet her goals? a) aggressive growth fund b) global equity fund c) emerging market fund d) corporate bond fund Usain Bolt ran the 2012 Olympic 100m race and 9.63 seconds if he runs at this rate on a road with a speed limit of 25 miles per hour how will his speed compared to the speed limit justify your answer 25 meter equals 40234 m a h r 2. In each pair, CIRCLE the larger species.a. N or N3-b. Ca or Ca2+c. Si or Asd. Al or B AB||CD, BE=DE, AE=CE, andAB=CD. Can we conclude thatthe two triangles are congruent?YesNo