a 50kg person is standing still in ice skates throws their 2.0kg helmet to the right at 25m/s while on a friction less surface. what is the final speed of the person

Answers

Answer 1

Answer:

Vp = 1 [m/s]

Explanation:

In order to solve this problem, we must use the principle of conservation of the amount of movement. In the same way, analyze the before and after of the actions.

The moment before

The 50kg person is still hold (no movement) with the 2kg helmet

The moment after

The helmet moves at 25[m/s] in one direction, the person moves in the opposite direction, due to the launch of the helmet.

In this way we can apply the principle of conservation of movement, expressing the before and after. To the left we have the before and to the right of the equal sign we have the after.

Σm*V1 = Σm*V

where:

m = total mass = (2 + 50) = 52[kg]

V1 = velocity before the lunch = 0

(50 + 2)*V1 = (25*2) - (Vp*50)

0 = 50 - 50*Vp

50 = 50*Vp

Vp = 1 [m/s]


Related Questions

Convert 0k temperature into Celsius fahrenhet
and Reumer scale.​

Answers

Answer:

-273.15 celcius

−218.52 Réaumur

Explanation:

273. 15 kelvin = 0 degrees celcius

C + 273.15 =k

08. Degrees celcius = 1 Réaumur

C x 0.8 = rea

please help i really need it right now​

Answers

Try the suggested option, all the details are in the attachment.

Explanation:

1) to calculate the moles of CCl₄;

2) to calculate the moles of HF;

3) to calculate the mass of CCl₂F₂;

4) to calculate the mass of ureacted HF.

Dennis the Menace uses his slingshot to shoot a small rock at his neighbor's flowerpots. The rock travels a distance of 12.5 cm from the point at which he pulls it back to the point at which it leaves the slingshot. It leaves the slingshot at a velocity of 6.24 m/s. Find the average acceleration of the rock.

Answers

Answer:

[tex]a=155.750\ m/s^2[/tex]

Explanation:

It is given that,

A small rock is shoot at Dennis' neighbor's flowerpots. The rock travels a distance of 12.5 cm from the point at which he pulls it back to the point at which it leaves the slingshot.

Final velocity of the rock, v = 6.24 m/s

The initial velocity of the rock, u = 0 (as it was at rest)

Let a is the acceleration of the rock. It can be calculated using the equation of kinematics as follows :

[tex]v^2-u^2=2ad\\\\\text{Put u = 0 }\\\\v^2=2ad\\\\a=\dfrac{v^2}{2d}\\\\a=\dfrac{(6.24)^2}{2\times 12.5\times 10^{-2}}\\\\a=155.750\ m/s^2[/tex]

So, the average acceleration of the rock is [tex]155.750\ m/s^2[/tex].

Spring compressed 10cm by 100N force and held in place with Pin. Pin is pulled and block is pushed Up the incline. Uk(coefficient of kinetic energy)=. 39

Determine the speed of block after the Spring extends forward 7cm,
Determine the height at which the block will stop moving
Determine the length of the incline such that the leading edge of the block is stopped when the block reaches the end of the incline.

Answers

The compression of 10 cm by a 100 N force on the plane that has a

coefficient of friction of 0.39 give the following values.

The velocity of the block after the Spring extends 7 cm is approximately 1.73 m/sThe height at which the block stops rising is approximately 1.1415 mThe length of the incline is approximately 1.536 m

How can the velocity and height of the block be calculated?

Mass of the block, m = 3 kg

[tex]Spring \ constant, K = \dfrac{100 \, N}{0.1 \, m} = \mathbf{ 1000\, N/m}[/tex]

Coefficient of kinetic friction, [tex]\mu_k[/tex] = 0.39

Therefore, we have;

Friction force = [tex]\mathbf{\mu_k}[/tex]·m·g·cos(θ)

Which gives;

Friction force = 0.39 × 3 × 9.81 × cos(48°) ≈ 7.68

Work done by the motion of the block, W7.68 × d

The work done = The kinetic energy of the block, which gives;

[tex]\mathbf{\dfrac{1}{2} \times k \cdot x^2 }= 7.68 \cdot d[/tex]

The initial kinetic energy in the spring is found as follows;

K.E. = 0.5 × 1000 N/m × (0.1 m)² = 5 J

The initial velocity of the block is therefore;

5 = 0.5·m·v²

v₁ = √(2 × 5 ÷ 3) ≈ 1.83

Work done by the motion of the block, W ≈ 7.68 N × 0.07 m ≈ 0.5376 J

Chane in kinetic energy, ΔK.E. = Work done

ΔK.E. = 0.5 × 3 × (v₁² - v₂²)

Which gives;

ΔK.E. = 0.5 × 3 × (1.83² - v₂²) = 0.5376

Which gives;

The velocity of the block after the Spring extends 7 cm, v₂ ≈ 1.73 m/s

The height at which the block will stop moving, h, is given as follows;

[tex]At \ the \ maximum \ height, \ h, \ we \ have ; \ \dfrac{1}{2} \times 1000 \times 0.1^2 = 7.68 \times x[/tex]

Which gives;

[tex]Length \ of \ the \ incline \ at \ maximum \ height, \ x_{max} =\dfrac{ 7.68 }{ \dfrac{1}{2} \times 1000 \times 0.1^2 } \approx 1.536[/tex]

The distance up the inclined, the block rises, at maximum height is therefore;

[tex]x_{max}[/tex] ≈ 1.536 m

Therefore;

h = 1.536 × sin(48°) ≈ 1.1415

The height at which the block stops rising, h ≈ 1.1415 m

From the above solution for the height, the length of the incline is he

distance along the incline at maximum height which is therefore;

Length of the incline, [tex]x_{max}[/tex] = 1.536 m

Learn more about conservation of energy here:

https://brainly.com/question/7538238

How many oxygen (O) atoms are in a molecule of Cg H,O3?
A. 1
B. 3
C. 10
D. 4

Answers

Answer:

B. 3

Explanation:

What indicates that an area in the Northern Hemisphere is experiencing summer?
O The Sun is at its lowest point in the sky,
O The Sun is directly over Earth's north end,
The Northern Hemisphere receives fewer direct rays from the Sun.
The northern end of Earth's axis is tilted away from the Sun.

Answers

Answer:

b

Explanation:

Answer:

its b, the sun is directly over earths north end

Explanation:

why acceleration is a derived unit?​

Answers

The acceleration is derived from the some other quantities like change in velocity / time take . If we see carefully that formula of acceleration you find that it is basically derived from fundamental quantities therefore acceleration is called a derived quantities.

What is the correct definition of acceleration?

a) the change of velocity over time

b) the change of inertia over time

c) the change of velocity over distance

d) the change of speed over time

Answers

Answer:

Hello

a) the change of velocity over time

Answer:

c.the change of velocity over distance

How do you calculate the total current of a parallel circuit?

Answers

Answer:

The total current in the circuit is the current that travels thru a single conductor that connects to the parallel circuit (current from a electromotive source, etc.)

I = I1 + I2 + I3 ...... In

If n items are in parallel with another, then I is the total current passing thru these items

what are the invisible forces of nature

Answers

Answer:

Gravity, Friction, Air resistance, magnetism, static electricity

Explanation:

Answer:

gravity friction air resistant are a few

A car is moving from rest and attained a velocity of 80 m/s. Calculate the acceleration of the car after 5 s?

Answers

Answer:

400 m/s

Explanation:

If it is moving at a velocity of 80 m/s from rest, then after 5 s it would be at 400 m/s.

80 x 5 = 400

Love, which can’t be observed or measured directly, is an example of a psychological construct.


Please select the best answer from the choices provided

T
F

Answers

Bro, love is a difficult deal. Especially for men or women. So the answer is yes. Love is an example that can be built.

Answer:

f

Explanation:

Thermal energy is the_____
energy of particles in an object.

Answers

Answer:

sum of the kinetic and potential energy

Explanation:

A cannon is fired horizontally at 243 m/s off of a 62 meter tall, shear vertical cliff. How
many seconds will have elapsed before the cannon ball strikes the ground?

Answers

Horizontal component of ball, u = 0 m/s.

Height from which it thrown, h = 62 m.

By equation of motion :

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

Putting all given equation, we get :

[tex]62=0\times t+\dfrac{10t^2}{2}\\\\t=\sqrt{12.4}\ s\\\\t = 3.52\ s[/tex]

Therefore, time taken is 3.52 s.

Hence, this is the required solution.

You are designing a pendulum clock to have a period of 1.0 s. How long should the
pendulum be?

Answers

For an accurate design of the pendulum that will match the period, the length of the pendulum clock must be 0.25 m.

Period of oscillation of simple pendulum

The period of oscillation of simple pendulum is calculated as follows;

[tex]T = 2\pi \sqrt{\frac{l}{g} }[/tex]

where;

L is the length of the pendulumg is acceleration due to gravityT is the period of the oscillation

Make "L" the subject of the formula in the above equation.

[tex]\frac{T}{2\pi} = \sqrt{\frac{l}{g }} \\\\\frac{T^2}{4\pi^2} = \frac{l}{g} \\\\l = \frac{gT^2}{4\pi ^2} \\\\l = \frac{(9.8)(1)^2}{4\pi ^2} \\\\l = 0.25 \ m[/tex]

Thus, the length of the pendulum clock is 0.25 m.

Learn more about period of oscillation here: https://brainly.com/question/20070798

A rock is dropped from a cliff that is 80 m above the ground. What is the velocity of the rock when it hits the ground? (hint: acceleration due to gravity g = 9.81 m/s2)

Answers

Answer:

45.1 m/s

Explanation:

use the equation v = u + at  substitute the values v = 0 + 9.8×4.6  v = 45.08  round to about 3 s.f v = 45.1 m/s I do apologize if I'm incorrect.

Which events may occur when ocean salinity increases? check all that apply. mass of water increases freezing point of water decreases sunlight in deeper locations decreases buoyancy of objects in the water increases amount of dissolved gases in water increases

Answers

The mass of water increases, the freezing point of water decreases. and the buoyancy of objects in the water increases may occur when the ocean sanity increases.

What is ocean sanity?

Seawater is salty due to a variety of substances. The majority of them arrive via rivers, which bring chemicals dissolved from rock and soil. The most common is sodium chloride, also known as salt.

The most popular approach to quantify salinity is to count the amount of salt in 1,000 g of water, which is referred to as ppt. The majority of the ocean has a salinity of 34 to 36 parts per thousand.

Salinity makes water colder and denser by lowering its temperature. The chilly water sinks to the ocean's depths. Slow currents carry it throughout the marine basins.

Because the items have a lower density, they flow across the water's surface. As a result, the buoyancy of items in water improves.

So the events that may occur when ocean salinity increases will be;

1)The mass of water increases.

2) Freezing point of water decreases.

3) buoyancy of objects in the water increases.

Hence the masses of water increase, the freezing point of water decreases. and the buoyancy of objects in the water increases may occur when the ocean sanity increases.

To learn more about ocean sanity refer to the link;

https://brainly.com/question/1308071

what is the ke of a 800 tonnes train travelling at a speed of 108 km/h note 1 tonne =1000 kg

Answers

800 tonnes = 800,000 kg
108 km/h = 30 m/s

KE = (1/2)mv^2

(1/2)(800,000)(30)^2 = 360,000,000 J

What are the Planets in order and how far away are they from the Sun?

Answers

(Order closest to farthest)

1. Mercury - 36 million miles
2. Venus - 67 million miles
3. Earth - 93 million miles
4. Mars - 142 million miles
5. Jupiter - 484 million miles
6. Saturn - 886 million miles
7. Uranus - 1.8 billion miles
8. Neptune - 2.8 billion miles

Hope this helps :)

Which characteristics describe a spiral galaxy? check all that apply. is shaped like a pinwheel has no new star formation contains a lot of gas and dust is smaller than other types of galaxies has sites of active star formation within its arms

Answers

It is shaped like a pinwheel describing a spiral galaxy. A flat, rotating disk containing stars, gas, and dust, as well as a central concentration of stars known as the bulge, makes up most spiral galaxies.

What is a spiral galaxy?

Spiral galaxies are a type of galaxy first described by Edwin Hubble are part of the Hubble sequence.

A flat, rotating disk containing stars, gas, and dust, as well as a central concentration of stars known as the bulge, makes up most spiral galaxies.

Many of these are surrounded by a fainter halo of stars, many of which are found in globular clusters.

The Pinwheel Galaxy is a spiral galaxy located approximately 21 million light-years from Earth. M101 is the name given to this swirling galaxy by scientists.

In the Northern Hemisphere, it can be found in the constellation Ursa Major, also known as the "Big Dipper." Binoculars or a small telescope can be used to see if the sky is clear and dark.

Hence it is shaped like a pinwheel describing a spiral galaxy.

To learn more about the spiral galaxy refer to the link;

https://brainly.com/question/2515143

what two elements take up the most space in the universe

Answers

Answer:

helium and hydrogen

Explanation:

The answer is helium and hydrogen the exploration is that the take up the most moluculs.

Come on! Please answer... :( WILL GIVE BRAINLYEST TO BEST ANSWER!!! PLEASE PLEASE PLEASE PLEASE ANSWER!!!
How do the potential and kinetic energy of the cart change at each point in the diagram?

Answers

Answer:

Potential -> Kinetic -> Potential ->

Explanation:

Point A is potential becuase it's stopped (its energy isn't released). Point B is where that potential energy is released and turned into Kinetic energy. And point C is where potential energy is stored again. Same with point D.

A man walks 23 km east and then
turns around and heads west for 46
km, then east for 23 km. What is his
displacement?
A) 92 km
B) 0 km
C 46 km west
D) 46 km East

Answers

The displacement is 0 km . Pls mark me as the brainliest

(e) The National Grid supplied a house with 18 000 000 J of energy. in 1 hour. What was the average current supplied to the house during that hour? Write any equations that you use.​

Answers

Answer:

Explanation:

4.0/5

10

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Electrical power  =  (voltage) x (current)

Electrical energy  =  (power) x (time)

Combine those definitions:

            Energy  =  (voltage) x (current) x (time)

Divide each side by (voltage x time), and we have

            Current  =  Energy / (voltage x time)

You told us that

            Energy = 1.8 x 10⁷ joules

            Time  =  1 hour  =  3,600 seconds

so we have

            Current  =  (1.8 x 10⁷) / (voltage x 3,600).

If you live in the US, Canada, or Mexico, your voltage is 120 volts.

            Current = (1.8 x 10⁷) / (120 x 3,600)  =  41-2/3 Amperes

If you live practically anywhere else in the world, your voltage is 240 volts.

             Current = (1.8 x 10⁷) / (240 x 3,600)  =  20-5/6 Amperes.

The initial velocity of a ball sent upward from the ground, is 12 m/s. What will its final velocity be before it hits the ground
O 12 m/s
0-12 m/s
0 -9.8 m/s
O 9.8 m/s

Answers

Answer:

The final velocity s 12 m/s.

For the upwards trajectory:   (using the positive value of g in the downward direction)

Vf = Vi - g t = 0   where Vi is initial velocity and Vf the velocity at max height

Vf = 12 - g t = 0      t = 12 / g     time to reach max height

For the downwards trajectory

Vf = Vi + g t = 0 + g t    =  g * 12 / g = 12  where t was found above

We know the from  2 g h = Vf^2 - Vi^2, since the height is the same in both directions, that the ball reaches the ground with at the same speed at which it was sent.

Also, conservation of energy shows that the ball must return to the ground with the speed with which was projected.

A clay cube has sides that are 5 cm long and a mass of 20 g. What is the density of the clay?

(Help)

Answers

Answer:

density = 0.16[gr/cm^3] = 160 [kg/m^3]

Explanation:

To solve this problem we must use the definition of density which tells us that this is equal to the relationship between mass and volume. In this way we have:

Since the body is a cube, its sides are equal we have:

v = 5 * 5 * 5 = 125 [cm^3]

m = 20 [grams]

density = m / v

density = 20/125

density = 0.16 [grams/cm^3]

Now if we convert the units to the international system, we have:

[tex]0.16[\frac{gr}{cm^{3} } ]*\frac{1kg}{1000gr} *\frac{100^{3} cm^{3} }{1^{3} m^{3} } \\= 160 [kg/m^{3} ][/tex]

The dehydration butanol on alumina is carried out over a silica-alumina catalyst at 680 K.



CH3CH2CH2OH →CH3CH = CHCH3 + H2O



The rate law iswith k = 0. 054 mol/gcat·h·atm and KBu = 0. 32 atm^–1. Pure butanol enters a thin-tubed, packed-bed reactor at a molar flow rate of 50 kmol/hr and a pressure of 10 atm (1013·kPa).



Required:


a. What PBR catalyst weight is necessary to achieve 80% conversion in the absence of pressure drop?


b. What "fluidized CSTR" catalyst weight is necessary to achieve 80% conversio?

Answers

A) The PBR catalyst weight that is required to achieve 80% conversion in the absence of pressure drop is : 370 mg  

B) The fluidized CSTR catalyst weight necessary to achieve 80% conversion is : 995.025 g

A) Determine the PBR catalyst weight

To calculate the PBR catalyst weight required to achieve 80% conversion in the absence of pressure drop we will apply the equation below

w = [tex]\frac{V_{o} }{KC_{ao}(1/x - 1 ) }[/tex]  ---- ( 1 )

insert values into equation ( 1 )

w = [tex]\frac{50 kmol}{0.54 * 10 (\frac{1}{0.8}) * 1 }[/tex]

PBR catalyst weight ( w ) = 370 mg

B) Determine the fluidized CSTR catalyst weight necessary to achieve 80% conversion

applying the equation below

W = [tex]\frac{Fbwx}{-r'Bu}[/tex]

   = [tex]\frac{50kmol/r * 0.8}{0.042mol/gcat.h}[/tex]

   = 995.025 gcat

Hence we can conclude that The PBR catalyst weight that is required to achieve 80% conversion in the absence of pressure drop is : 370 mg  The fluidized CSTR catalyst weight necessary to achieve 80% conversion is : 995.025 g.

Learn more about Dehydration of butanol : https://brainly.com/question/7140413

What is meant by solenoid? How does a current carrying solenoid behave?


Answers

QuestionWhat is meant by solenoid?

AnswerIf a conducting wire is wound in form of a cylindrical coil whose diameter is less in comparison to its length, the coil is called a solenoid. It looks like a helical spring.

QuestionHow does a current carrying solenoid behave?

Answer

The magnetic field lines of a current carrying solenoid are similar to the magnetic field lines of a bar magnet. Thus, a current carrying solenoid behaves just like a bar magnet.

A current carrying solenoid when suspended freely sets itself in the north south direction exactly in the same manner as a bar magnet does.

A current carrying solenoid also acquires that attractive property of a magnet. If iron fillings are brought near the current carrying solenoid, it attracts them.

Explanation:

Hope it helps you!!

current carrying solenoid behaves as an electromagnet. The uniform magnetic field inside it may magnetise a steel rod permanently. Detailed Answer: A coil of many circular turns of insulated copper wire wrapped closely in the shape of a cylinder is called a Solenoid.

hope it helps you :)

what is Law of gravitation?

Answers

<HOPE IT WILL HELP YOU >

universal gravitation is usually started as the particle extracts every other particle in the universe with the force which is directly proportional to the product of masses and inversely proportional to the square of the distance between their centres.

please mark my ans as BRAIN LIST

It's not D
10 Select the correct answer.
A stability ball can be used in yoga to do which of the following?
A. Provide support
В. Make a move more challenging
C. Make a move easier
D. All of the above ​

Answers

A. it provides support
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