Question

calculate buoyant force acting on a solid sphere with radius
R, submerged into a liquid with density rho

Answer #1

Buoyant force acting on solid sphere = Weight of the liquid replaced by the sphere

= Volume of sphere * density of liquid * accelleration of gravity.

Given that

The radius of sphere = R

Density of liquid =

A sphere of radius R is completely submerged in a container of
water. The sphere displaces 1m^3 of water. What is the buoyant
force? Assume the density of water ρw = 1000kg/m3 . Hint: The
volume of a sphere is given by V = 4/3πR3
Then, find the density of the sphere given that its weight in
air is 15, 000 kg · m/s2 and the radius R = 1m

A solid sphere of radius R has a uniform volumetric charge
density rho = −3C / 2πR ^ 3.
Calculate the electric field inside and outside the sphere.

In addition to the buoyant force, an object moving in a liquid
experiences a linear drag force Fdrag = (bv, direction opposite the
motion), where b is a constant. For a sphere of radius R, the drag
constant can be shown to be b = 6πηR, where η is the viscosity of
the liquid. Consider a sphere of radius R and density ρ that is
released from rest at the surface of a liquid with density ρf.
a. Find an...

A hollow sphere of inner radius 8.71 cm and outer radius 9.79 cm
floats half-submerged in a liquid of density 898.00
kg/m3. (a) What is the mass of the
sphere? (b) Calculate the density of the material
of which the sphere is made.

Calculate the pressure, $P(r)$ inside a sphere of radius, $R_+$
with a constant density, $\rho$. Explain your
assumptions and your reasoning carefully at each step.

A solid sphere of radius r and mass m is released from a rest on
a track. At a height h above a horizontal surface. The sphere rolls
without slipping with its motion continuing around a loop of radius
R<<r
A) If R=0.3h, what is the speed of the sphere when it reaches
the top of the loop? Your response must be expressed in terms of
some or all of the quantities given above and physical and
numerical constants
B)...

Given a homogenous sphere with density rho. For the case where
the radius R of the sphere is exactly 2GM/c2 (meaning
when the sphere is a black hole), express R in terms of rho. For a
rho given in units of 1gcm-1, determine R in light
seconds.

A solid sphere, radius R, is centered at the origin. The
“northern” hemisphere carries a uniform charge density ρ0, and the
“southern” hemisphere a uniform charge density −ρ0. Find the
approximate field E(r,θ) for points far from the sphere (r ≫
R).

A hollow sphere of inner radius 5.1 cm and outer radius
7.0 cm floats half submerged in a liquid of density 640
kg/m3. What is the mass of the
sphere?
(in kg)
A: 4.60×10-1
B: 6.11×10-1
C: 8.13×10-1
D: 1.08
E: 1.44
calculate the density of the material of which
the sphere is made.
(in kg/m^3)
A: 5.22×102
B: 7.57×102
C: 1.10×103
D: 1.59×103
E: 2.31×103

A small solid sphere of mass M0, of radius R0, and of uniform
density ρ0 is placed in a large bowl containing water. It floats
and the level of the water in the dish is L. Given the information
below, determine the possible effects on the water level L,
(R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a
new solid sphere of uniform density. The new sphere has density ρ =
ρ0 and radius R > R0 The new...

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