a wire of radius 3mm and length 200m is melted into a sphere. Calculate the radius of the sphere in meters​

Answers

Answer 1

To find the radius formed by melting the wire, you must start with this equation:

volume of wire = volume of sphere (since it is simply melted into a different shape, the volume would remain the same, equal)

πr²l = 4/3πr³

cancel π:

r²l = 4/3r³

3r²l = 4r³

r³ = (3r²l)/4

r³ = (3 × 3² × 200)/4

r³ = 1350

r = (cube root) of 1350

r = 11.052094....

r = 11.05 mm

divide by 1000 to get the answer in the unit meters:

r = 0.01105m


Related Questions

if a runner travels 1600m in 420 seconds, her average speed is

Answers

Answer:

the answer is 3.8m/s in meters per second

How much force is needed to accelerate a 9,760 kg airplane at a rate of 4.4 m/s2?

Answers

Answer:

42,944

Explanation: 9,760 kg * 4.4 m/s2 = 42,944

Point-source pollution enters water
A. from many different sites
B. from a specific location
C. slowly seeping through soil along pipelines
D. from unknown sources

Answers

A is the answer to the question

A student wearing a frictionless roller skates on a horizontal is pushed by a friend with a constant force of 55N. How far must the student be pushed, starting from rest, so that her final kinetic energy is 362 J

Answers

Answer:

6.58m

Explanation:

The kinetic energy = Workdone on the roller

Workdone = Force * distance

Given

KE = Workdone = 362J

Force = 55N

Required

Distance

Substitute into the formula;

Workdone = Force * distance

362 = 55d

d = 362/55

d = 6.58m

Hence the student must push at a distance of 6.58m

A double inclined plane that moves is a(n) .

Answers

Answer:

a wedge.

Explanation:

it moves when you apply force to one end of the wedge.

You have a 100 N object with a normal force of 100 N. You apply a 50 N push to the right, but a friend is hiding on the other side of the object and is also pushing with a force of 60 N. What is the net force on the object?

Answers

Answer:

100.49N

Explanation:

First we must know that the normal force acts in the vertical direction;

The force required to push to the right and left acts in the horizontal direction;

Sum of force along the horizontal Fx = 50N - 60 N = -10N

Force along the vertical Fy = 100N

The net force on the object is calculated as;

F = √(Fx)² + (Fy)²

F = √(-10)² + (100)²

F = √100 + 10000

F = √10,100

F = 100.49N

Hence the net force on the object is 100.49N

An 80.0 kg fisherman jumps into a 37.5kg boat that is at rest. If the velocity of the fisherman is 5.60m/s when he jumps from the dock, what will be the velocity of the boat and fisherman after he lands in the boat?

Answers

Answer:

The velocity of the boat and fisherman after he lands in the boat is 3.812m/s

Explanation:

We will solve this question on the general Derivation for general case of a man jumping n the boat

m = Mass of the man = 80kg

M= mass of the boat 37.5kg

V(m, g) = Velocity of man with respect to ground = 5.6m/s

V(b , g) = Velocity of boat with respect to ground = Vo = 0m/s ( rest)

velocity of the boat and fisherman after he lands in the boat = V1

As there is no external force acting on the man then we can apply conservation of the Linear Momentum.

m*V(m, g) + M*Vo = (M+m)V1

[tex]V1 = \frac{ m*V(m, g) + M*Vo}{M+m}[/tex]

 On substituting the values we get

V1 = [tex]\frac{80*5.6 + 37.5*0}{80+ 37.5}[/tex]

V1    = [tex]\frac{448}{117.5}[/tex] = 3.812 m/s

Therefore the velocity of the boat and fisherman after he lands in the boat is 3.812m/s.

The snow fell on me is my excuse so my mom won’t know that I’m getting bullied

Answers

Answer:

Aaaaw noooo. :(

Explanation:

what did they say to u and what state do u live in. I will help u stand up to them. I have taken down many bullies before by using words. in fourth grade, my friend was getting bullied by the class, then yelled and stood up for her. they all fell silent and never bullied her, or any of my friends again. For whatever reason they bully u is probably d.u.m.b. which means they r really d.u.m.b. Also, U should try finding out a lot of personal info about them that they dont want anyone to know. also tell the principal. Is ur mom nice, or mean? if shes nice, she'll support u and fight for u, which means u should address

Answer:

You should stick up for yourself because if you don't then no one else will but im always here to talk to you if you need someone

Explanation:

why we can not measure the total amount of heat energy that a body contains​

Answers

Answer:

... As has been previously discussed, heat is not something that is contained in an object.

Explanation:

Which of these is an example of electrical energy being converted to mechanical energy?

Group of answer choices
Sunlight used by plants in photosynthesis
Ceiling fan
Lightning striking the ground

Answers

Answer:

Ceiling fan

Explanation:

A ceiling fan is an example of electrical energy being converted to mechanical energy.

The blades of the fan are driven by motor within the system.

Energy in a system is converted from one form to the other. Energy is neither created nor destroyed as we know from the law of conservation of energy. In this regard, the electrical energy from the outlet powers the motor. As the motor inside the fan spins, the blade in turn begins to rotate. The motion of the blade is the expression of mechanical energy.

What is the difference between the geographic North Pole and the magnetic north pole?​

Answers

Answer:

Magnetic north is the direction towards the north magnetic pole, which is a wandering point where the Earth's magnetic field goes vertically down into the planet

Explanation:

I searched it up lol

Plz di all plz i will give brainest and thanks to best answer do it right

Answers

Answer is wavelength

Hope this helps and good luckkk :))))

A certain mass of a gas occupies 2 litres at 27 °C and 100
pascal. Find the temperature when volume and pressure
become half of their initial values.
pls give with solution pls pls​

Answers

Answer:

75k

Explanation:

You can see solution in the picture

A student moves a box across the floor by exerting 56.7 N of force and doing 195 J of
work on the box. How far does the student move the box?
A.3.4 m
B. 11,056 m
C.138 m
D.0.29 m

Answers

Answer:

A. 3.4 m

Explanation:

Given the following data;

Force = 56.7N

Workdone = 195J

To find the distance

Workdone is given by the formula;

[tex] Workdone = force * distance[/tex]

Making "distance" the subject of formula, we have;

[tex] Distance = \frac {workdone}{force} [/tex]

Substituting into the equation, we have;

[tex] Distance = \frac {195}{56.7} [/tex]

Distance = 3.4 meters.

What has more energy a 2 kg mass at 10 m/s or a 2 kg mass 5 m above the ground

Answers

Answer:

Both have same energy

Explanation:

Given:

Sample 1

Mass m = 2 kg

Velocity v = 10 m/s

Sample 2

Mass m = 2 kg

Height h = 5 m

Assume g = 10 m/s²

Find:

What has more energy

Computation:

In sample 1

Ke = 1/2(m)(v)²

Ke = 1/2(2)(10)²

Ke = 100 joule

In sample 2

Pe = mgh

Pe = (2)(10)(5)

Pe = 100  joules

Both have same energy

A component that is used to break a circuit is
(1 Point)
Wire
Switch
Bulb
Electric cell

Answers

A component that is used to break a circuit is called a wire

A roller coaster travels down a 120 m track in 12.5 seconds how fast does the roller coaster go

Answers

Answer:

9.6m/s

Explanation:

Using the equation S=d/t where s=speed, d=distance, and t=time

plug in the known variables

S=120m/12.5s

S=9.6m/s

Which one is an example of a force pushing downward toward the ground.
Group of answer choices

A man pulled weeds in his garden

A woman moved her child from one place to another in a wagon

A bird sat on a telephone wire

A dog tugged on a rope held by a child

Answers

Answer: A woman moved her child from one place to another in a wagon

or A bird sat on a telephone wire

Explanation:

If you have a piece of brass and a piece of aluminurn that have the same volume, which will have a larger mass?

Answers

Answer:

the aluminum would have the most mass

HELP ASAP!!! How many electrons fit into each electron shell?
K
L
M
N

Answers

Answer:

k = 2

L = 8

M = 18

N = 32

plz mark me as a brainelist

Guys i need help please

Answers

Answer:

I'm pretty sure the answer is around 9.2 seconds

Explanation:

A person on a merry-go-round makes a complete revolution in about 3.17 s.
The radius of the ride is about 3.1 m, and the rider has a mass of 50 kg. What is the centripetal force on the rider?
1. 12.18 N
2. 245.0 N
3. 490.0 N
4. 608.9 N

Answers

Answer:

second one

Explanation:

HOPE THIS helps

Formulas
Speed = distance / time
Time = distance / speed
Distance = speed x time
A bowling ball rolls 30 meters in 4 seconds. What speed did it travel?
distance = 30m
time = 45
speed = ?

Answers

Using s= d/t

7.5 m per second

Speed = distance/time
= 30/45
= 6/9
= 2/3
= 0.666.........
Speed = 0.6

A ray of light travelling obliquely from a rarer medium to a denser medium goes _______​

Answers

Explanation:

towards the normal

MARK ME BRAINLIST

Which type of friction opposes motion?

Answers

Answer:

Friction does not oppose motion, it oppose relative motion.

Explanation:

static friction opposes relative motion

Answer:

there are three types or friction

1) Static friction

2) Rolling Friction

3) Sliding friction

Static friction comes to end when the object starts moving(or starts motion ) so Sliding Friction and Rolling Friction opposes motion l.

An object is moving east, and its velocity changes from 66 mvs to 26 mvs in 10 seconds. Which describes the
acceleration?
negative acceleration of 4 mvs
positive acceleration of 4 ms
positive acceleration of 9 m/a
negatlveo acceleration of 9 m/s

Answers

Answer:

negative acceleration of 4m/s²

Explanation:

Given parameters:

Initial velocity  = 66m/s

Final velocity = 26m/s

Time taken = 10s

Unknown:

Description of the acceleration  = ?

Solution:

Acceleration is the rate of change of velocity with time.

It is mathematically expressed as;

    acceleration  = [tex]\frac{v - u}{t}[/tex]

v is the final velocity

u is the initial velocity

t is the time taken

  Now insert the parameters and solve;

    Acceleration  = [tex]\frac{26 - 66}{10}[/tex]   = -4m/s²

So, we see a negative acceleration of 4m/s²

9. An object moving at a constant velocity accelerates at a constant rate of 20 m/s for a distance of
100 m. At the end of the acceleration the object has a velocity of 80 m/s. What was its velocity
before accelerating?

Answers

Answer:

I believe the answer is roughly 49m/s

Explanation:

List all given variables:

Accel=20m/s^2

Dist=100m

Final velocity=80m/s

Initial velocity=?

Using the equation i=sqrt(f^2-2a*d) where i =initial velocity, f=final velocity, a=acceleration, and d=distance, we can plug in the known values and solve for initial velocity

i=sqrt(80^2-2*20*100)

i=sqrt(6400-4000)

i=sqrt(2400)

i=48.99, rounded up to 49m/s as the initial velocity

This is my speculation about this answer would appreciate if anyone can confirm this.

plzzzz help it for civics

Answers

Answer:

A : the colonists dumped tea in Boston Harbor

3. A dog walks a distance of 100 ft. in 20 s of time. What is the dog's
speed in feet per second?
O C 120 ft/s
O B80 ft/s
O D 2000 ft/s
O A 5 ft/s

Answers

The answer is A.
100/20=5
A trust I have done this question

SOMEONE PLEASE HELP
Body composition analysis can accurately show changes in
O Fat mass
O Muscle mass
O Body fat %
O All of the above

Answers

Answer: all of the above

Explanation: Give brainliest please (first)

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