Start with a free body diagram. There are three pressures acting on the sphere: gravity pulling the round down, buocouchsurfingcook.comncy advertise the sphere up, and tension pulling the sphere down.

You are watching: A sphere completely submerged in water is tethered

Applying Newton"s second law:

∑F = ma

B - W - T = ma

Since the sphere isn"t accelerating, a = 0.

B - W - T = 0

B = W + T

We know that the tension is one-fourth the weight:

B = W + W/4

B = 5/4 W

B = 5/4 mg

Buocouchsurfingcook.comnt force is characterized as:

B = ρVg,

where ρ is the density of the fluid, V is the displaced volume, and also g is acceleration the gravity.

ρVg = 5/4 mg

ρV = 5/4 m

The mass of the round is same to its thickness times the volume. Because the ball is totally submerged, it"s volume is the same as the volume of the displaced water.

ρV = 5/4 ρₓV

ρ = 5/4 ρₓ

ρₓ = 4/5 ρ

So the thickness of the ball is 4/5 the density of the water. Water"s density is 1000 kg/m³, so:

ρₓ = 4/5 (1000 kg/m³)

ρₓ = 800 kg/m³

You might be interested in

if a gas has actually a gage press of 156 kpa that absolute press is approximately .....A... 56 kPa ....B....100 kPa.......C......25
NeX <460>

256 kPa because p-guage + p-absolute + p-atmospheric = 256

7 0
1 year ago

A ball is thrown up into the air with an early stage velocity of 18 m/s. A) just how high does the ball go? B) calculate the time necessary
kaheart <24>

B) t = 1.83

A) y = 16.51


To settle this problem we have to use the complying with equation that kinematics.



Vf = final velocity = 0

Vo = early stage velocity = 18

g = gravity acceleration = 9.81

t = time

Note: the negative sign in the above equation way that the acceleration of heaviness is acting in the opposite direction to the motion.

A) The maximum height is reached as soon as the final velocity the the sphere is zero.

0 = 18 - (9.81*t)

9.81*t = 18

t = 18/9.81

t = 1.83 , we found the because that B.

Now utilizing the adhering to equation.



y = elevation

Yo = initial key = 0

y = 18*(1.83) - 0.5*9.81*(1.83)²

y = 16.51

7 0
4 month ago

How do electrical motors work?
Semmy <17>

Option C


The is alternative C or "they convert chemical energy from gasoline into kinetic energy." electrical motors usually need a power resource for example a car, you put gasoline in that auto which is converted into kinetic energy which permits the motor to operate and run, (enabling girlfriend to drive the car) the kinetic energy is climate used into you operation out that gasoline.

Hope this helps.

7 0
5 months ago

You place three nonflammable objects in a fire. They are identical in shape and also size, yet one thing is black, the 2nd is whi
Nookie1986 <14>

The first object (black)


The heat radiation that a human body is governed by the Stefan Boltzmann Law, i beg your pardon is mathematically offered as:



(Stefan Boltzmann constant)

Also the absorptivity and emissivity the a perfectly black color body is preferably ( =1 ) as such it absorbs all the heat power incident ~ above it and glows the brightest due to the perfect emission.

So here likewise the black object will glow brighter than the others.

See more: The Lord Of The Rings Trumpet Sheet Music, The Lord Of The Rings

5 0
9 months ago

Which resistor dissipates the most power, the one through the biggest resistance or the one v the the very least resistance? define why
Klio2033 <76>
The power dissipated by a resistor is same to
where R is the value of the resistance and also I is the existing flowing v the resistor. From the formula, we have the right to see that the larger R, the larger the dissipated power, therefore the greatest resistance dissipates more power.
5 0
7 month ago
Other questions:
mental me
no registered? quick signup
Your nickname
Login Signup
questioning question!