Question

The surface area of a ball is measured to be A = 35 cm2.

a. (a) Write an equation for the radius of the ball, r, treating it as a sphere, in terms of its surface area.

(b) The mass is measured to be M = 170 g. Calculate its density ρ in g/cm3. Part

(c) What is the density ρkg/m3 in kg/m3?

Answer #1

The surface area of a ball is measured to be A = 45
cm2.
A) Write an equation for the radius of the ball, r,
treating it as a sphere, in terms of its surface area. ( I tried
square root of A/4pi, didn't work)
B) The mass is measured to be M = 125 g.
Calculate its density ρ in g/cm3.
C)What is the density ρkg/m3 in
kg/m3?

A sphere with radius 0.250 m has density ρ that decreases with
distance r from the center of the sphere according to
ρ=2.75×103kg/m3−(9.00×103kg/m4)r . Part A: Calculate the total mass
of the sphere. Express your answer with the appropriate units. M =
?; Try Again Part B :Calculate the moment of inertia of the sphere
for an axis along a diameter. Express your answer with the
appropriate units.

A raft is constructed of wood having a density ρ=600
kg/ m3 Its surface area is A=5.7m² and its volume is V=0.06 m3
.When the raft is placed in fresh water of density 1 g/c m3 how
much of it is below water level?
a)0.1162m b)0.03 m c) 0.059m d) 1.89m e) None of these is true

A teapot with a surface area of 450 cm2 is to be plated with
silver. It is attached to the negative electrode of an electrolytic
cell containing silver nitrate (Ag+ NO3−). The cell is powered by a
12.0-V battery and has a resistance of 1.40 Ω. If the density of
silver is 1.05 104 kg/m3, over what time interval does a 0.133-mm
layer of silver build up on the teapot?

A teapot with a surface area of 750 cm2 is to be
plated with silver. It is attached to the negative electrode of an
electrolytic cell containing silver nitrate (Ag+
NO3−). The cell is powered by a 12.0-V
battery and has a resistance of 1.40 Ω. If the density of silver is
1.05 104 kg/m3, over what time
interval does a 0.133-mm layer of silver build up on the
teapot?
h

A sphere with radius 0.150 m has density ρ that decreases with
distance r from the center of the sphere according to
ρ=3.25×103kg/m3−(8.50×103kg/m^4)r .
a)Calculate the total mass of the sphere. Express your answer
with the appropriate units.
B)Calculate the moment of inertia of the sphere for an axis
along a diameter. Express your answer with the appropriate
units.

An iron ball or radius r is suspended by a thread of negligible
mass from an upright cylinder that floats partially submerged in
water. The cylinder has a height of 6.9 cm, a face area of 12.1
cm^2 on the top and bottom and a density of .30 g/cm^3, and 2.5 cm
of its height is above the water surface. Use g = 9.8 m/s^2
a) calculate the buoyant force of the cylinder if the density of
the water is...

Consider the prismatic surface ABCD. The width of the surface is
w=4 m. The length of the vertical part AB is d=1 m. The part BCD is
a half-cylinder of radius R= 5 m. Take for water density ρw = 1000
kg/m3 and gravitational acceleration g=9.81
m/s2. Show on the figure all the parameters used in the
solution, draw the free body diagram, give and explain the required
formulas and Determine

A sphere of solid aluminum (r = 2.7 g/cm3 ) has a radius R, a
mass M, and a moment of inertia I0 about its center. A second
sphere of solid aluminum has a different mass M’ with a radius 2R.
What is the moment of inertia of the second sphere about its center
I in terms of the first sphere I0? Mass should not appear in your
answer (4 points).

A solid metal ball starts from rest and rolls without slipping a
distance of d = 4.2 m down a θ = 38° ramp. The ball has uniform
density, a mass M = 4.7 kg and a radius R = 0.33 m.
What is the magnitude of the frictional force on the sphere?

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