Question

A 0.38 kg playground ball with a 12.0 cm radius rolls without slipping down a pool slide from a vertical distance h1= 2.2 m above the bottom of the slide and then falls an additional h2= 0.40 m vertical distance into the water. What will be the magnitude of the ball's translational velocity when it hits the water? Since the ball is air-filled, assume it approximates a hollow, thin spherical shell. Also, assume that its rate of rotation remains constant from the time it leaves the bottom of the slide until it strikes the water. Answer in m/s.

Answer #1

A solid 0.5750-kg ball rolls without slipping down a track
toward a loop-the-loop of radius R = 0.6550 m. What minimum
translational speed vmin must the ball have when it is a height H =
1.026 m above the bottom of the loop, in order to complete the loop
without falling off the track?

A solid 0.595-kg ball rolls without slipping down a track toward
a loop-the-loop of radius R = 0.7350 m. What minimum translational
speed vmin must the ball have when it is a height H = 1.091 m above
the bottom of the loop, in order to complete the loop without
falling off the track?

A hollow spherical shell with mass 2.35 kg rolls without
slipping down a slope that makes an angle of 35.0 ? with the
horizontal. Find the magnitude of the acceleration acm of the
center of mass of the spherical shell. Take the free-fall
acceleration to be g = 9.80 m/s2 .Find the magnitude of the
frictional force acting on the spherical shell. Take the free-fall
acceleration to be g = 9.80 m/s2 .

A tennis ball is a hollow sphere with a thin wall. It is set
rolling without slipping at 4.10 m/s on a horizontal section of a
track as shown in the figure below. It rolls around the inside of a
vertical circular loop of radius r = 48.1 cm. As the ball nears the
bottom of the loop, the shape of the track deviates from a perfect
circle so that the ball leaves the track at a point h =...

A basketball starts from rest and rolls without slipping down a
hill. The radius of the basketball is 0.23 m, and its 0.625 kg mass
is evenly distributed in its thin shell. The hill is 50 m long and
makes an angle of 25° with the horizontal. How fast is it going at
the bottom of the hill?
Group of answer choices
10.7 m/s
12.3 m/s
15.8 m/s
14.4 m/s
17.2 m/s

A basketball starts from rest and rolls without slipping down a
hill. The radius of the basketball is 0.23 m, and its 0.625 kg mass
is evenly distributed in its thin shell. The hill is 50 m long and
makes an angle of 25° with the horizontal. How fast is it going at
the bottom of the hill?
Group of answer choices
17.2 m/s
14.4 m/s
10.7 m/s
12.3 m/s
15.8 m/s

1)A ball with an initial velocity of 9.6 m/s rolls up a hill
without slipping. a)Treating the ball as a spherical shell,
calculate the vertical height it reaches in m. b) Repeat the
calculation for the same ball if it slides up the hill without
rolling in m.
2) Suppose we want to calculate the moment of inertia of a 56.5
kg skater, relative to a vertical axis through their center of
mass. Calculate the moment of inertia in (kg*m^2)...

A bowling ball of mass 7.23 kg and radius
10.3 cm rolls without slipping down a lane at
2.90 m/s .
Calculate its total kinetic energy.
Express your answer using three significant figures
and include the appropriate units

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