Physics, 15.04.2020 01:41 elliedeegan3910

A metal cylinder measures 3.0 cm in diameter, is 12.0 cm high, and has a mass of 750 g. The cylinder hangs from a string attached to a scale that measures weight in Newtons (N). The cylinder is lowered into a cylindrical beaker of water until it is submerged completely. The diameter of the beaker is 10.0 cm. (a) By how much does the height of the water in the beaker rise when the cylinder is submerged? (b) What weight does the scale read after the cylinder is submerged?

Answers: 3

Show answers

Answers

Answer from: 23s40

The height at which the water rose in the beaker after which the cylinder gets submerged is 1.08 cm. The new weight of the scale after the cylinder is being submerged is 6.52 N.

Suppose we denote h to be the height at which the water rose in the beaker.

Then, when the cylinder gets submerged in the beaker, there is a replacement of volume similar to the amount of water.

∴

πr²h = πR²H

Given that:

the radius of the beaker (r) = 10 cm/2 = 5 cmthe radius of the cylinder (R) = 3.0 cm/2 = 1.5 cmthe height of the cylinder (H) = 12 cm

Then;

Making (h) the subject of the formula from the above equation, we have:

$\mathbf{h = \dfrac{R^2 H}{r^2}}$

$\mathbf{h = \dfrac{1.5^2 \times 12}{5^2}}$

$\mathbf{h = \dfrac{2.25 \times 12}{25}}$

h = 1.08 cm

The initial weight loss refers to the weight of the water column substituted by the cylinder.

However, the new weight of the cylinder after being submerged is computed as:

= mg - ρ(πR²H)g

where;

mass = 750 gdensity of water ρ = 1 g/c

= mg - ρ(πR²H)g

= (750× 9.8) - 1(π× 1.5²× 12)9.8

= 7350 - 831.265

= 6.52 N

Therefore, we can conclude that the height at which the water rose in the beaker after which the cylinder gets submerged is 1.08 cm. The new weight of the scale after the cylinder is being submerged is 6.52 N.

Learn more about the volume of the cylinder here:

link

Answer from: mads3499

Answer with Explanation:

We are given that

Diameter of cylinder, d_1= 3 cm

Radius, $r_1=\frac{d_1}{2}=\frac{3}{2}=1.5cm=1.5\times 10^{-2} m$

1m=100 cm

Height,h=12 cm= $\frac{12}{100}=0.12 m$

Mass,m=750 g= $\frac{750}{1000}=0.75kg$

1kg=1000 g

Diameter of beaker, d_2=10 cm

Radius of beaker, $r_2=\frac{d_2}{2}=\frac{10}{2}=5cm$

A. $\pi r^2_2h_2=\pi r^2_1 h_1$

$h_2=\frac{r^2_1}{r^2_2}h$

$h_2=\frac{(1.5)^2}{(5)^2}\times 12=1.08 cm$

Hence, the height of the water in the beaker rises when the cylinder is submerged=1.08 cm

B.Weight read on the scale after the cylinder is submerged

$w=mg-\rho A_1h_1g$

Where g=9.8 m/s^2

$A_1=\pi r^2_1$

Density of water= $\rho=1000kg/m^3$

$w=0.75\times 9.8-1000\times \pi(1.5\times 10^{-2})^2\times 0.12\times 9.8$

w=6.52 N

Answer from: Quest

the chart show the masses and velocities of two colliding objects that stick together after a collision.

according to the law of conservation of momentum, the momentum of the object after the collision is

answer

1,500

kg • m/s.

Answer from: Quest

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

Another question on Physics

Physics, 22.06.2019 15:50

Ryan is examining the energy of the particles in a bar of gold. what is ryan most likely studying?

Answers: 1

Answer

Physics, 22.06.2019 23:10

What was the purpose of the apollo program? to put a man in orbit to launch a spy satellite to launch a space station to put man on the moon

Answers: 1

Answer

Physics, 23.06.2019 00:50

which statements describe the image? check all that apply.the wood is releasing argon gas.this information is useful for dating ancient rock.the process works only with organic matter.the element has a half-life of 5,730 years.this shows the half-life of carbon-19.

Answers: 1

Answer

Physics, 23.06.2019 04:31

Atruck travels at an average speed of 70 km/hr. if it travels 100 km in the first hour, how far will it go the second hour of a 2 hour trip? if you could also give me the steps that would great.

Answers: 3

Answer

You know the right answer?

A metal cylinder measures 3.0 cm in diameter, is 12.0 cm high, and has a mass of 750 g. The cylinder...

Questions