A hollow sphere starts from rest and rolls down a hill without sliding. At the bottom...
A hollow sphere starts from rest and rolls down a hill without sliding. At the bottom of the hill, it has a linear velocity of 5 m/s. What was the height of the hill the sphere rolled down (in meters)?
Homework Answers
from the law of conservation on energy
mgh = 0.5 mv^2 + 0.5 I w^2
I is moment of inertia = 2mr^2/3
W = V/r
so
gh = 0.5 mv^2 + 1/3 * m r^2 * V^2/r^2
9.8 * h = 0.5* 5^2 + 1/3 * 5^2
h = 2.125 m
Add Answer to:
A hollow sphere starts from rest and rolls down a hill without
sliding. At the bottom...
A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow...
A sphere of mass M and radius R starts at rest and rolls without slipping down an incline and embeds itself in a hollow cube at the bottom that is only 1/5 its mass. If the incline is h tall and the table has a height of D from the floor, at what horizontal distance from the table do the two objects land? The cube/sphere combination leaves the incline moving horizontally.
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping.
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
Now assume that the object is a solid sphere and instead of sliding down the hill,...
Now assume that the object is a solid sphere and instead of sliding down the hill, it ROLLS down the hill. It still starts from rest at a height of 1.4 m. Determine how fast it will be going at the bottom of the hill. Assume no thermal energy is generated and express your answer using appropriate mks units. Round your answer to the NEAREST THOUSANDTH
A hollow sphere of 2.307 kg mass is rolling down an incline without slipping. It starts...
A hollow sphere of 2.307 kg mass is rolling down an incline without slipping. It starts from rest at a vertical height of 50 cm above the bottom. The sphere has a radius of 10 cm. What is the translational speed of the sphere, in m/s, at the bottom? The moment of inertia of a hollow sphere is 2/3mr^2. A. 0.85 B. 1 C. 2.2 D. 2.4 E. 2.6
A hollow 0.358 kg sphere rolls without slipping down an inclined plane that makes an angle...
A hollow 0.358 kg sphere rolls without slipping down an inclined plane that makes an angle of 41.0o with the horizontal direction. The sphere is released from rest a distance 0.734 m from the lower end of the plane. a. How fast is the hollow sphere moving as it reaches the end of the plane? b. At the bottom of the incline, what fraction of the total kinetic energy of the hollow sphere is rotational kinetic energy?
A solid sphere of uniform density starts from rest and rolls without slipping a distance of...
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 2 m down a θ = 20° incline. The sphere has a mass M = 5.8 kg and a radius R = 0.28 m. 1. Of the total kinetic energy of the sphere, what fraction is translational? KE tran/KEtotal 2)What is the translational kinetic energy of the sphere when it reaches the bottom of the incline? KE tran = 3. What is the...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined...
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle e 300. The sphere has mass M 8 kg and radius R - 0.19 m . The coefficient of static frictio between the sphere and the plane is ?-0.64. What is the magnitude of the frictional force on the sphere? N Submit
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined...
A solid sphere of uniform density starts from rest and rolls
without slipping down an inclined plane with angle θ =
30o. The sphere has mass M = 8
kg and radius R = 0.19 m . The
coefficient of static friction between the sphere and the plane is
μ = 0.64. What is the magnitude of the frictional
force on the sphere?
Ff =
N
Q10 A hollow sphere and a hoop of the same mass and radius are released at...
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
1. (20 points) A hollow sphere of radius r and mass m starts from rest and rolls down the mountainside and then up the opposite side, as shown in Figure 1.The initial height is Ho. The rough part prevents slipping while the smooth part has no friction. The horizontal surface is smooth. How high, in terms of Ho. will the sphere roll up the other side? Smooth Rough Ho
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle e 300. The sphere has mass M 8 kg and radius R - 0.19 m . The coefficient of static frictio between the sphere and the plane is ?-0.64. What is the magnitude of the frictional force on the sphere? N Submit
A solid sphere of uniform density starts from rest and rolls
without slipping down an inclined plane with angle θ =
30o. The sphere has mass M = 8
kg and radius R = 0.19 m . The
coefficient of static friction between the sphere and the plane is
μ = 0.64. What is the magnitude of the frictional
force on the sphere?
Ff =
N
Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
Most questions answered within 3 hours.
-
Predict the charge on the major species of the peptide
Ile–Arg–Asp–Ala–Lys–Ser–Gln at pH 7.0
asked 5 minutes ago -
How do competitive inhibitors affect the KM and Vmax of an
enzyme? Draw a plot of...
asked 6 minutes ago -
Martin received a killed (inactivated) polio vaccine. Had he
received a live attenuated polio vaccine instead,...
asked 5 minutes ago -
Consider the context-free grammar with the rules (E is start
variable) E → E + T...
asked 10 minutes ago -
What is the maximum number of electrons that can be emitted if a
potassium metal surface...
asked 13 minutes ago -
Consider a process with ∆H = -18.6 kJ and ∆S = -79.4 J/K. At
what temperature...
asked 27 minutes ago -
Question:
The consultant and the client together make a decision to begin
the discovery. Often this...
asked 26 minutes ago -
You are considering opening a new plant. The plant will cost
$95.5 million upfront and will...
asked 36 minutes ago -
Describe the steps involved in converting glycerol into
triacylglycerol.
Explain the roles of the citrate shuttle...
asked 40 minutes ago -
he amount of tea leaves in a can from a particular production
line is normally distributed...
asked 55 minutes ago -
1. Why is it that the second exposure to an allergen,
and not necessarily the first,...
asked 58 minutes ago -
How many kilocalories of heat does an expenditure of 703 kJ
produce?
_____ kcal
A pound...
asked 1 hour ago