A 62.0 kg water skier at rest jumps from the dock into a 775 kg boat at rest on the east side of the dock. If the velocity of the skier is 4.50 m/s as she leaves the dock, what is the final velocity of the skier and boat?
2.78 m/s to the east
2.78 m/s to the west
0.360 to the west
0.360 to the east

Answers

Answer 1

Answer:

The final velocity of the skier and boat is 0.33 m/s to the east.

Explanation:

We can find the final velocity of the skier by conservation of linear momentum:

[tex] m_{s}v_{s_{i}} + m_{b}v_{b_{i}} = m_{s}v_{s_{f}} + m_{b}v_{b_{f}} [/tex]

Where:  

[tex]m_{s}[/tex]: is the mass of the water skier = 62.0 kg

[tex]m_{b}[/tex]: is the mass of the boat = 775 kg

[tex]v_{s_{i}}[/tex]: is the initial velocity of the skier = 4.50 m/s (as she leaves the dock)

[tex]v_{b_{i}}[/tex]: is the initial velocity of the boat = 0 (it is at rest)

[tex]v_{s_{f}}[/tex]: is the final velocity of the skier =?

[tex]v_{b_{f}}[/tex]: is the final velocity of the boat =?

Since the final velocity of the skier is the same that the velocity of the boat ([tex]v_{f}[/tex]) we have:

[tex] m_{s}v_{s_{i}} + 0 = v_{f}(m_{s} + m_{b}) [/tex]

[tex]v_{f} = \frac{m_{s}v_{s_{i}}}{m_{s} + m_{b}} = \frac{62.0 kg*4.50 m/s}{62.0 kg + 775 kg} = 0.33 m/s                  

Therefore, the final velocity of the skier and boat is 0.33 m/s to the east.

I hope it helps you!                                                          


Related Questions

A 4 mm object is observed by a magnifying lens as 1.25 cm. Calculate the ratio do/di.

Answers

Answer:

dₒ/dᵢ = 0.32

Explanation:

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

Object height (Hₒ) = 4 mm

Image height (Hᵢ) = 1.25 cm

Ratio of object distance (dₒ) to image distance (dᵢ) [dₒ/dᵢ] =?

Next, we shall convert 4 mm to cm. This can be obtained as follow:

10 mm = 1 cm

Therefore,

4 mm = 4 mm × 1 cm / 10 mm

4 mm = 0.4 cm

Next, we shall determine the magnification of the lens. This can be obtained as follow:

Object height (Hₒ) = 4 mm

Image height (Hᵢ) = 1.25 cm

Magnification (M ) =?

M = Hᵢ/Hₒ

M = 1.25 / 0.4

M = 3.125

Finally, we shall determine the ratio of object distance (dₒ) to image distance (dᵢ). This can be obtained as follow:

Magnification (M) = 3.125

Ratio of object distance (dₒ) to image distance (dᵢ) [dₒ/dᵢ] =?

Magnification (M) = image distance (dᵢ) / object distance (dₒ)

M = dᵢ/dₒ

Invert

1/M = dₒ/dᵢ

1/3.125 = dₒ/dᵢ

dₒ/dᵢ = 0.32

Therefore, the ratio of object distance (dₒ) to image distance (dᵢ) [dₒ/dᵢ] is 0.32

The density of oil is 0.8 g/cm^3. What is the mass of 36 cm^3 of oil? + (1 Point) O 0.29 N O 28.09 28.8 g O 36.89​

Answers

Answer:

density = mass/volume

density=0.8

volume=36

mass=?

0.8=mass/36

mass = 36x0.8=28.8g

This is the last 2 questions i need! It’s due in 10 minutes please help!! I will mark brainliest asap

Answers

Answer:

I don't know 11 but in no. 10,

The ans is 3.66

Total distance = 10m+30m+15m = 55m

Total time = 5secs+7secs +3secs =15secs

Av speed = d/t =55/15 = 3.66 m/s

In what way is Height related to Potential Energy?​

Answers

Explanation:

Lets say you have a ball in your hand, you raise your hand to just above your head. Now, when you did that you created potential energy that is ready to be released. you drop the ball and the ball bounces a few times off the ground. Now lets say you got a ladder and doubled the ball's height doubling the energy now stored in the ball, when you drop it the ball should bounce much higher after hitting the ground as a result of more energy being released.

Hope this helped.

Which instrument changes kinetic energy into electrical energy?

electric motor

hair drier

electric bell

dynamo​

Answers

Answer:

Dynamo

Explanation:

As we all know, there are dynamos in bicycles. When we paddle the cycle, the wheels of the cycle rotates by generating kinetic energy. When the wheels rotate, the dynamo starts to rotate. This makes the motor inside the dynamo rotates and generate electrical energy.

Which type of radiation can reach the furthest?
A. Beta

B. Gamma

C. Alpha

Answers

Answer:

B. Gamma

Explanation:

The gamma radiation can travel much farther through air than alpha or beta.

a student drops a ball off the top of building and records that the ball takes 3.32s to reach the ground (g=9.8 m/s^2). what is the ball's speed just before hitting the ground?​

Answers

Answer:

Explanation:

Use the one-dimensional equation for motion

v = v₀ + at and filling in,

v = 0 + (-9.8)(3.32) so

v = -33 m/s (negative because it is going downwards and upwards is positive).

I need help answer these questions please

Answers

Answer:

1. 25 J

2. 250 J

3. 900,000 J

4. 7,500 J

Explanation:

1. The distance the wheelbarrow is tilted, d = 0.5 m

The force used to tilt the wheelbarrow, F = 50 N

The work done, W = F × d

∴ W = 50 N × 0.5 m = 25 J

2. Work done, W = Force × Distance

The applied force, F = 50 N

The distance the sand is moved, d = 5 m

∴ W = 50 N × 5 m = 250 J

3. The work done, W = The load lifted × The height to which the load is lifted

∴ W = 90,000 N × 10 m = 900,000 J

The work done, W = 900,000 J

4. The work output of the skateboard = The work input × Efficiency

Given that the skateboard is an ideal machine, we have;

The work output of the skateboard = The work input = W

W = F × d

F = 15 N, d = 500 m

∴ W = 15 N × 500 m = 7,500 J

The work output of the skateboard = W = 7,500 J.

A HIGH SPEED TRAIN IS 180M LONG AND IT IS TRAVELLING AT 50M/S.HOW LONG WILL IT TAKE TO PASS A PERSON STANDING AT A LEVEL CROSSING?



B-HOW LONG WILL IT TAKE TO PASS COMPLETELY THROUGH A STATION WHOSE PLATFORMS ARE 220M IN LENGTH?

Answers

Answer:

a. Time = 3.6 seconds

b. Time = 4.4 seconds

Explanation:

Given the following data;

Distance = 180 m

Speed = 50 m/s

a. To find the time;

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

[tex]Speed = \frac{distance}{time}[/tex]

Making time the subject of formula, we have;

[tex]Time = \frac{distance}{speed}[/tex]

Substituting into the equation, we have;

[tex]Time = \frac{180}{50}[/tex]

Time = 3.6 seconds

b. Distance = 220 meters

Speed = 50 m/s

To find the time;

[tex]Time = \frac{distance}{speed}[/tex]

Substituting into the equation, we have;

[tex]Time = \frac{220}{50}[/tex]

Time = 4.4 seconds

What is resistance? Difference between resistance and resistivity. ​

Answers

Answer:

Resistance is a measure of the opposition to current flow in an electrical circuit.All materials resist current flow to some degree. They fall into one of two broad categories: Conductors: Materials that offer very little resistance where electrons can move easily.

A car starts from rest. if rhe final velocity becomes 50m /s after 10 second calculate the acceleration of the car.​

Answers

Answer:5m/s² well I am not pretty sure but hope it's help

Explanation:

u=0m

final velocity ,v=50m/s

t=10s

(v-u)/t=(50-0)/10=50/10=5m/s²

Which statement about momentum is false? a. Momentum is a force b. Momentum may be transferred c. Momentum is always conserved d. Momentum is a property only of moving objects

Answers

Answer:

So, option(a).

Explanation:

Momentum is the measure of motion of the object.

Momentum is given by the product of mass and the velocity of the object.

(a) It is false.

(b) It is true, momentum is transferred.

(c) It is true, As the momentum of the system is conserved when no external force is applied on the system.

(d) It is true, as the momentum is associated with the velocity of the object.

Accelaration is a derived quantity .Give reason

Answers

Answer:

The accerlation is a derived from the other quantities like change in velocity/time take etc.

A bus travels with a constant speed of 48km/h. How long will it take to travel 60km?

Answers

Answer:

It will take 1 hr and 15 mins.

Explanation:

Let's look at the speed equation:

s=d/t

We want to find the time, and we have the speed and the distance, so we rearrange the equation. t will be on one side and s and d will be on the other side.

t=d/s

t=60km/(48km/h)

t=1.25h

1) Explain the term fermentation

2) why is fermentation useful in making wine and beer

Answers

1. Fermentation is a metabolic process that produces chemical changes in organic substrates through the action of enzymes. In biochemistry, it is narrowly defined as the extraction of energy from carbohydrates in the absence of oxygen. The science of fermentation is known as zymology.

2. In general, the longer that fermentation goes on, the more sugar is converted into alcohol, resulting in a less sweet (or “drier”) and more alcoholic beverage. To produce beer, various grains are used instead of grapes as the source of sugars. ... This drying process converts the starches present in grain into sugars

Answer:

1.) Fermentation, chemical process by which molecules such as glucose are broken down anaerobically. More broadly, fermentation is the foaming that occurs during the manufacture of wine and beer, a process at least 10,000 years old.

2.) In general, the longer that fermentation goes on, the more sugar is converted into alcohol, resulting in a less sweet (or “drier”) and more alcoholic beverage. To produce beer, various grains are used instead of grapes as the source of sugars. ... This drying process converts the starches present in the grain into sugars.

Explanation:

A train starts from rest and leaves Greenburg station with an acceleration of 1.20 meters per second2. How long does it take the train to travel a distance of 500 meters?

Answers

Answer:

Time, t = 28.87 seconds

Explanation:

Given the following data;

Acceleration = 1.20 m/s²

Distance = 500 meters

Initial velocity = 0 m/s

To find the time to cover the distance, we would use the second equation of motion;

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

Where;

S represents the displacement or height measured in meters.

u represents the initial velocity measured in meters per seconds.

t represents the time measured in seconds.

a represents acceleration measured in meters per seconds square.

Substituting into the equation, we have;

[tex] 500 = 0*t + \frac {1}{2}*(1.2)*t^{2}[/tex]

[tex] 500 = 0 + 0.6*t^{2} [/tex]

[tex] 500 = 0.6t^{2} [/tex]

[tex] t^{2} = \frac {500}{0.6} [/tex]

[tex] t^{2} = 833.33 [/tex]

Taking the square root of both sides, we have;

[tex] t = \sqrt{833.33} [/tex]

Time, t = 28.87 seconds

The spring in the toy is compressed 0.070 meter by using a downward force of 12.0 newtons. Calculate the spring constant, in N/m, of the spring.

Answers

Answer:

The spring constant is 171.43 N/m.

Explanation:

compression in spring, x = 0.07 m

force, F = 12 N

Let the spring constant is K.

Use the formula of the restoring force of the spring

F = K x

12 = K (0.07)

K = 171.43 N/m  

HELPPPP I NEED THIS DONE PLSSS

Answers

Answer:

11. Food Chain

12. Food web

13. Habitat

Explanation:

The difference between food chain and food web is;

In a food chain, it shows one path of energy in one ecosystem.

In a food web, it shows various food chains in many ecosystems and how they are connected.

A cheetah runs at a speed of 27.6 m/s. If the
cheetah runs for 9.30 s, what is the distance the
cheetah runs? Show all your work.

Answers

Answer:

256.68m

Explanation:

that is the procedure above

A cheetah runs at a speed of 27.6 m/s. If the cheetah runs for 9.30 s, then the distance covered by the cheetah would be 256.68 metes

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object. The unit of speed is meter/second. The generally considered unit for speed is a meter per second.

The mathematical expression for speed is given by

speed = distance /Total time

As given in the problem A cheetah runs at a speed of 27.6 m/s. If the cheetah runs for 9.30 s, we have to calculate the distance covered by the cheetah

Distance=?

speed=27.6 m/s

time= 9.30 s

speed = distance /Total time

27.6 m/s = Distance /9.30 s

Distance = 27.6×9.30

               =256.68 metes

Thus, the distance covered by the cheetah would be 256.68 metes

Learn more about speed from here

brainly.com/question/7359669

#SPJ5

"" damped force equation ""​

Answers

Answer:

In many vibrating systems the frictional force Ff can be modeled as being proportional to the velocity v of the object: Ff = −cv, where c is called the viscous damping coefficient.

the ratio of the energy per second radiated by the filament of a lamp at 250k to that radiated at 2000k, assuming the filament is a blackbody radiator? The filament of a particular electric lamp can be considered as a 90%blackbody radiator. calculate the energy per second radiated when its temperature is 2000k if its surface area is 10∧-6 m²

Answers

Answer:

(a) [tex]\frac{P_{250k}}{P_{2000k}}=2.4\ x\ 10^{-4}[/tex]

(b) P =  0.816 Watt

Explanation:

(a)

The power radiated from a black body is given by Stefan Boltzman Law:

[tex]P = \sigma AT^4[/tex]

where,

P = Energy Radiated per Second = ?

σ = stefan boltzman constant = 5.67 x 10⁻⁸ W/m².K⁴

T = Absolute Temperature

So the ratio of power at 250 K to the power at 2000 K is given as:

[tex]\frac{P_{250k}}{P_{2000k}}=\frac{\sigma A(250)^4}{\sigma A(2000)^4}\\\\\frac{P_{250k}}{P_{2000k}}=2.4\ x\ 10^{-4}[/tex]

(b)

Now, for 90% radiator blackbody at 2000 K:

[tex]P = (0.9)(5.67\ x\ 10^{-8}\ W/m^2.K^4)(1\ x\ 10^{-6}\ m^2)(2000\ K)^4[/tex]

P =  0.816 Watt

Why is the time period of a charged particle in a uniform magnetic field independent of velocity??

Answers

Answer:

time period is independent of K.E of particle, it is inversely proportional to specific charge of the particle and it is independent of angle between velocity and magnetic field

Nesse texto, um argumento usado para defender a ideia de que o filme A Caminho da Lua cumpre o papel de tocar e de entreter encontra-se no trecho:
“O filme foca em Fei Fei, garota de 12 anos que enfrenta dificuldades em superar o luto pela mãe e aceitar a nova noiva de seu pai.”. (1º parágrafo)
“... a menina decide construir um foguete para viajar até o satélite...”. (1º parágrafo)
“O que faz o longa se destacar é seu cenário mergulhado na cultura chinesa e a delicadeza com que o luto e sua superação são tratados.”. (2º parágrafo)
“... o foco quase exclusivo na garota prejudica todos os outros personagens...”. (3º parágrafo).

ajudem_me

Answers

Answer:O que faz o longa se destacar é seu cenário mergulhado na cultura chinesa e a delicadeza com que o luto e sua superação são tratados.

Explanation:

Por que se você pensar ela estava sempre buscando superar a morte da mãe.

who is the father of computer but not Charles Babbage can anyone guess​

Answers

Answer:

It's Obusively charles Babbage I guess

Which of the following refers to friction that acts on an object that is not moving? O A. Kinetic friction O B. Inertia O c. Contact force O D. Static friction
HELP PLEASE!!​

Answers

Answer:

D.STATIC FRICTION

Explanation:

Have a nice day

Explain the effect of the multiplier in the conversion of a moving coil galvanometer to a voltmeter.

Answers

Answer:

Explanation:

A galvanometer which is used for the measurement of a very small current can be converted to a voltmeter when it is connected to a high resistance or a multiplier is a series. The purpose of this is to reduce the amount of current that goes through the galvanometer so as prevent full scale deflection.

what is the difference between static electricity produced by friction, conduction of electricity, and induction of an electrical charge?

Answers

Answer:

ummm a whole bunch

Explanation:

inertia is a force whuch keeps stationary object at rest and moving objects in motion is it trur?

Answers

Answer:

True

Explanation:

Inertia is the resistance of any physical object to any change in its velocity. This includes changes to the object's speed, or direction of motion. An aspect of this property is the tendency of objects to keep moving in a straight line at a constant speed, when no forces act upon them

Answer:

True po sagot sabihin mo kong mali

A small bar magnet is placed in the magnetic field of a larger
bar magnet, at the position marked Zin the diagram below.
Assuming the small bar magnet is free to rotate, how would it
be positioned?
X
no
N
S
O A.
N.
B.
N
s
O c.
S
O D.
S

Answers

x for a smaller magnet at the position marked zin

A car travelling at 30 ms' decelerates
to 10 m sin a distance of 20 m. What
is the deceleration of the motion, in m
s?

Answers

Answer:

V²=U² + 2as

Where V=Final Velocity

U=Initial Velocity

a=acceleration ( Deceleration in this case)

s=distance covered

10² = 30² + 2(a)(20)

100 = 900 + 40a

100 - 900 = 40a

-800=40a

a= -800/40

a= -20ms-².

Its negative because the car Decelerated.

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