Two skaters stand facing each other. One skater's mass is 60 kg, and the other's
mass is 75 kg. The two skaters push off each other. After the push, the smaller
skater has a velocity of 3.0 m/s. If no other forces are acting on the skaters, what
is the velocity of the larger skater?

Answers

Answer 1

Answer:

v' = 2.4 m/s

Explanation:

Given that,

Mass of one skater, m = 60 kg

Mass of the other's skater, m' = 60 kg

The two skaters push off each other. After the push, the smaller  skater has a velocity of 3.0 m/s.

When there is no external force acting on a system, the momentum remains conserved. It means initial momentum is equal to the final momentum. Let v' is the velocity of the larger skater.

mv = m'v'

[tex]v'=\dfrac{mv}{m'}\\\\v'=\dfrac{60\times 3}{75}\\\\v'=2.4\ m/s[/tex]

So, the velocity of the larger skater is 2.4 m/s.


Related Questions

Obi Wan Kenobi is force pushing some bad guys into a forcefield. The bad guys (m= 300 kg) were originally at REST 5 meters away from the forcefield. It took them 0.5 seconds to hit the forcefield. How much force does Obi Wan apply?

Answers

Answer:

F = 12000 N = 12 KN

Explanation:

First we need to find the acceleration of the bad boys by using second equation of motion:

s = Vi t + (1/2)at²

where,

s = distance covered = 5 m

Vi = Initial Velocity = 0 m/s

t = time taken = 0.5 s

a = acceleration = ?

Therefore,

5 m = (0 m/s)(0.5 s) + (1/2)a(0.5 s)²

a = 2(5 m)/(0.5 s)²

a = 40 m/s²

Now, we calculate the force applied by Newton's Second Law:

F = ma

where,

F = force = ?

m = mass of bad guys = 300 kg

Therefore,

F = (300 kg)(40 m/s²)

F = 12000 N = 12 KN

A basketball rolls down a hill until it comes to a stop in a ditch

A. 1st Law of motion
B. 2nd Law of motion
C. 3rd Law of motion​

Answers

A :-) the first law of motion -
The first law of motion states that a object will be at motion or rest until a unbalanced force is applied on it.

Answer:

1st law.

Explanation:

Which of the following epidermal layers is made of cells that are constantly dividing?
a. stratum corneum
c. stratum spinosum
b. stratum granulosum
d. stratum basale

Answers

epidermal layer is made of basal cell layer that are consulting dividing

A crane moves a 250 kg scoreboard from the ground to the height of 100 m. What is the work done on the scoreboard?

Answers

If you’re doing potential and kinetic energy then the answer is potential.

Answer:

You will have to do the last PE - the initial PE

Explanation:

Which of the following statements about the unit of measurement called the Newton is true? Select the two correct answers.(1 point)

As an object's distance from Earth increases, its Newtons increase.

The Newton is used to measure gravitational force.

The Newton is used to measure mass of objects.

An object with a mass of 1 kilogram has a gravitational attraction to Earth of about 9.8 Newtons.

Answers

Answer:

The Newton is used to measure gravitational force.

An object with a mass of 1 kilogram has a gravitational attraction to Earth of about 9.8 Newtons.

Explanation:

The two true correct statements about the unit of measurement called the Newton are ,

Newton used to measure gravitational force.

An object with a mass of 1 kilogram has a gravitational attraction to Earth of about 9.8 Newtons.

Therefore the correct answers are the option c and option D

What is Newton's second law?

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The mathematical expression for Newton's second law is as follows

F = ma

Where F represents the force.

The SI unit of force is Newton.

Newton used to measure gravitational force.

An object with a mass of 1 kilogram has a gravitational attraction to Earth of about 9.8 Newtons.

Thus, the correct answers are the option C and option D

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HEEEEELLLPPPPPP!!!!!!!!!!! PPPPPPPPPPPLLLEAASSEE!!!
I will give brainliest

Why do the north poles of these two magnets repel each other?

Answers

Answer:

The arrows always start at the magnet's north pole and point towards its south pole. When two like-poles point together, the arrows from the two magnets point in OPPOSITE directions and the field lines cannot join up. So the magnets will push apart (repel).

The engine of a boat (m = 1580 kg) exerts a
2200 N force northward, while the current
pushes it 1350 N eastward.
In what direction does the boat accelerate?

Answers

Answer:

58.5

Explanation: no clue on how to do it but i just got that answer on my accelus✨

To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration. The direction of the boat is northward and its magnitude is 1.633 m/s².

What is acceleration?

An object is said to be accelerated if there is a change in its velocity. The rate of change of velocity with respect to time is known as the velocity. It is a vector quantity and it has both magnitude and direction. It is the first derivative of velocity with respect to time.

Fx = 2200 [N]

Fa = 1350 [N]

F = √(Fₓ)² + (Fₐ)²

F = √(2200)² + (1350)²

F = 2581.18 N

Now using Newton's second law.

F = m×a

a = F / m

a = 2581.18 / 1580

a = 1.633 m/s²

Thus acceleration is 1.633 m/s² and it is northward direction.

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Steve and Jose drove Jose's car to the beach during Spring Break. The 495 kilometer drive took them 8 hours and 30 minutes. What was their average speed for the trip?

Answers

Answer:

58.24 Km/h.

Explanation:

From the question given above, the following data were obtained:

Distance (d) = 495 Km

Time (t) = 8 h 30 mins

Speed (S) =?

Next, we shall express 8 hours 30 mins to hours.

We'll begin by convert 30 mins to hour.

60 mins = 1 h

Therefore,

30 mins = 30 mins × 1 h/ 60 mins

30 mins = 0.5 hour.

Thus,

8 h 30 min = 8 + 0.5 = 8.5 hours

Speed is define as the distance travelled per unit time. Mathematically, it is expressed as:

Speed = Distance /time

With the above formula, we can obtain the speed as shown below:

Distance (d) = 495 Km

Time (t) = 8.5 hour

Speed (S) =?

Speed = Distance /time

Speed = 495 Km / 8.5 hour

Speed = 58.24 Km/h

Thus, the speed is 58.24 Km/h.

The body loses up to 40 percent of its body heat through the _____ area

Answers

Answer:

the correct answer is ( head ) just took it

The body loses up to 40 percent of its body heat through the head area.

What is heat loss rate?

The heat transferred to the surrounding by the thermal conductive substance per unit time.

40 to 45 percent of human body heat is lost through the head and neck due to increased blood flow as compared to the rest of the body.

Along with the wrists and ankles, this can be 60 percent.

Thus, the body loses up to 40 percent of its body heat through the head area.

Learn more about heat loss rate.

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Which climate will have better soil for plant growth? warm or cold climate?, and why.

Answers

Answer:

Agriculturally suitable lands have adequate precipitation and moderate temperatures as well as good soils. Farmers regularly have to contend with wet and dry events to grow crops, even in hospitable climates.

Explanation:

scientific laws explain _________
a) why a pattern in nature occurs
b) strong evidence in support of a hypothesis
c) how a pattern in nature occurs
d) a pattern in nature observed over and over

Answers

Answer:

Answer:

Explanation:

Explanation:

I think its D.

10. A car starts from rest and travels for 5.0 s with a constant acceleration of -1.5 m/s/s.
A. What is the final velocity of the car?
B. How far does the car travel in this time interval?

Answers

Answer:

a.-7.5 m/s

b.18.75 m

Explanation:

hope it helps

What causes the attraction between protons and neutrons?

Answers

Answer:

The nuclear force

Explanation:

hope this helps

A skier descends a mountain at an angle of 35.0º to the horizontal. If the mountain is 235 m long, what are the horizontal and vertical components of the skier's displacement?

Answers

Total displacement along the length of mountain is given as
L = 235 m
angle of mountain with horizontal = 35 degree
now we will have horizontal displacement as
x = L cos35
x = 235 cos35 = 192.5 m
similarly for vertical displacement we can say
y = L sin35
y = 235 sin35 = 134.8 m

The question and answer options are in the photo!

Answers

Friction pushes her hands!!

Please help! I really need it.

Answers

I believe the answer is Justine, correct me if I’m wrong.

If a wave’s frequency is 16Hz and it’s wavelength is 10m. What’s the waves speed?

Answers

Answer:

160J

Explanation:

Given parameters:

Frequency  = 16Hz

Wavelength = 10m

Unknown:

Waves speed  = ?

Solution:

Waves speed is the product of frequency and wavelength;

  Waves speed  = fλ

f is the frequency

λ is the wavelength

Now insert the parameters and solve;

     Waves speed = 16 x 10  = 160J

A boat with a horizontal tow rope pulls a waterskier. She skis off to the side, the rope makes an angle of 15° with the forward direction of motion. If the tension in the rope is 180 N, how much work does the rope two on the scare during the forward displacement of 300 m?

Answers

Answer:

13,976.23Joules

Explanation:

Workdone by the rope is expressed using the formula;

W = Fd sin(theta)

F is the tension in the rope = 180

d is the displacement = 300m

theta is the angle of inclination = 15°

Substitute the given parameters into the formula;

W = 180(300)sin15

W = 54000sin 15

W = 13,976.23

Hence the workdone by the rope is 13,976.23Joules

300 watts of power is produced over 15 seconds. How much work was done transferring the power?

Answers

Answer:

4500

Explanation:

Formula: power x time

300 x 15 = 4500

Which of the following examples shows the greatest amount of biodiversity

Question 2 options:

A large amount of salmon swimming upstream


A lake full of a larger variety of fish, frogs, and birds


A densely populated city full of all different kinds of people


An empty field where only grass and insects are living

Answers

Answer:

A lake full of a larger variety of fish, frogs, and birds

katniss shoots an arrow horizontally frok a height of 1.8m. if the arrows initial velocity is 32m/s , how far will the arrow travel before hitting the ground

Answers

Answer:

19.5 m

Explanation:

EN LANZAMIENTO DE PROYECTILES, LA VELOCIDAD HORIZONTAL

PERMANECE CONSTANTE.

PRIMERO ENCUENTRA LA VELOCIDAD VERTICAL

[tex]v^{2}[/tex]y = 2([tex]9.80 m/s^{2}[/tex])(1.8 m) = [tex]\sqrt{35.3 m^{2}/s^{2}}[/tex] = 5.94 m/s

LUEGO ENCUENTRAS EL TIEMPO QUE LA FLECHA PERMANECE EN EL

AIRE.

t =  5.94 m/s /[tex]9.80 m/s^{2}[/tex] = 0.61 s

FINALMENTE ENCUENTRAS LA DISTANCIA HORIZONTAL TOTAL.

x = 32 m/s(0.61 s) = 19.5 m

a current of 2a is switched on for 8 seconds calculate how much charge flows

Answers

Answer:

16C

Explanation:

since current=CHARGE/TIME

THEREFORE CHARGE=TIME X CURRENT

=2X8

=16C

Jackson ran in a marathon for 3 hours. The marathon was 185 miles long. How fast was the runner running?

Answers

Answer:

hgt tdyrghgcderhgfe

Explanation:

rghttyhhhggggftttgf d's weyhvfswertfcdsettyhgftgdfvhgg fee e4y

Which one is it
Plz help me :)

Answers

Answer:

5 I think will be none of the above and 6 could be all of the above

What happens in the gray zone between solid and liquid?

MORE POINTSSSSSSS TAKE 'EM SOOOONNNNNN

Please Answer the question to get them

Answers

Answer:

Hence from liquid to solid or solid to liquid the transition has to cross the grey zone. This grey zone transition is is very crucial which includes the intermolecular forces acting on the molecules and each atoms which makes the change in state from hot to cold and cold to hot.

Explanation:

Question 4 Multiple Choice Worth 4 points)
(02.02 MC)
How do weathering and deposition differ?

Answers

Answer:

its A Weathering breaks down rocks; deposition leaves them in new places

Explanation:

19. What ingredient makes Electronic Cigarettes and Traditional Ones addictive?
(5 Points)
Tar
Nicotine
Chemicals
all of the above

Answers

Answer:

it is nicotine

Explanation:

your welcome

Answer:

Nicotine

Explanation:

Choose the pair of elements that will most likely have the least ionic character.
a. Na and Cl
b. O and Cl
c. H and O
d. Na and O

Answers

I think the answer is c h and o

Answer:

b. O and Cl

Explanation:

When your teacher drops a 1.5kg book from rest, it speeds up as it falls down suppose that book hits the ground at a speed of 5m/s what hight was it dropped from

Answers

Answer:

The height in which the book is dropped from is 1.28 m.

Explanation:

Mass of the book, m = 1.5 kg

initial velocity of the book, u = 0

final velocity of the bok, v = 5 m/s

The height in which the book is dropped from is given by;

v² = u² + 2gh

v² = 0 + 2gh

v² = 2gh

h = v² / 2g

h = (5)² / (2 x 9.8)

h = 1.28 m

Therefore, the height in which the book is dropped from is 1.28 m.

A 5 Kg bucket is being lifted by Sue straight up. A)If Sue is lifting the bucket up with constant velocity with what force is she lifting the bucket with? B) If Sue uses the same force and lifted the bucket on the moon which has a gravitational pull of 1.6 m/s2, with what acceleration will the bucket rise?

Answers

Answer:

A) Sue is lifting the bucket by a force of 49.035 newtons.

B) The bucket has an acceleration of 8.207 meters per square second on the Moon.

Explanation:

A) According to the First Newton's Law, a system is at equilibrium when it is either at rest or travelling at constant velocity. In this case, Sue must exert an external force on the bucket, whose magnitude is equal to the weight of the bucket but direction is opposed to it. By Second Newton's Law, we find that:

[tex]\Sigma F = F - m\cdot g = 0[/tex] (1)

Where:

[tex]F[/tex] - Lifting force, measured in newtons.

[tex]m[/tex] - Mass of the bucket, measured in kilograms.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

If we know that [tex]m = 5\,kg[/tex] and [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], then the lifting force is:

[tex]F = m\cdot g[/tex]

[tex]F = (5\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F = 49.035\,N[/tex]

Sue is lifting the bucket by a force of 49.035 newtons.

B) By the Second Newton's Law, we have the following model:

[tex]\Sigma F = F-m\cdot g = m\cdot a[/tex] (2)

Where [tex]a[/tex] is the net acceleration of the bucket, measured in meters per square second.

If we know that [tex]F = 49.035\,N[/tex], [tex]m = 5\,kg[/tex] and [tex]g = 1.6\,\frac{m}{s^{2}}[/tex], then the net acceleration of the bucket is:

[tex]a = \frac{F}{m} -g[/tex]

[tex]a = \frac{49.035\,N}{5\,kg}-1.6\,\frac{m}{s^{2}}[/tex]

[tex]a = 8.207\,\frac{m}{s^{2}}[/tex]

The bucket has an acceleration of 8.207 meters per square second on the Moon.

(a) The force applied by Sue in lifting the bucket at a constant velocity is 49 N.

(b) The acceleration of the bucket when lifted on the moon is 8.2 m/s².

The given parameters;

mass of the bucket, m = 5 kg

The force applied by Sue in lifting the bucket at a constant velocity is calculated as;

[tex]F = m(a + g)[/tex]

at constant velocity, a = 0

[tex]F= mg\\\\F = 5 \times 9.8\\\\F = 49 \ N[/tex]

The acceleration of the bucket when lifted on the moon with the calculated force is;

[tex]F = m(a + g)\\\\a+g = \frac{F}{m} \\\\a = \frac{F}{m} - g\\\\a = \frac{49}{5} - 1.6\\\\a = 8.2 \ m/s^2[/tex]

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