A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if it rolls without slipping up the incline, what maximum height will it reach?

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A hollow ball rolls along a horizontal surface at 2.5 m/s when it encounters an upward incline. if it rolls without slipping up the incline, what maximum height will it reach? 

negligible mass and is wound around a hollow cylindrical drum
of mass 380 kg and radius 1.1 m, mounted on a frictionless axle.
The anchor is released and drops 16 m to the water. Use energy
considerations to determine the drum's rotation rate when the an-
ad mass M.
chor hits the water. Neglect the cable's mass.
t: Consult
61. Starting from rest, a hollow ball rolls down a ramp inclined at
angle 0 to the horizontal. Find an expression for its speed after
it's gone a distance d along the incline.
62. A hollow ball rolls along a horizontal surface at 2.5 ms when it
encounters an upward incline. If it rolls without slipping up the
incline, what maximum height will it reach?
cions a by
e 10.2 to
is Ma.
lem 49)
63. As an automotive engineer, you're charged with improving the
fuel economy of your company's vehicles. You realize that the
rotational kinetic energy of a car's wheels is a significant factor
in fuel consumption, and you set out to lower it. For a typical car,
the wheels' rotational energy is 37% of their translational kinetic
nose a redesigned wheel with the same radius but
If this
side of
force?
ional
plate
You nr
Transcribed Image Text:negligible mass and is wound around a hollow cylindrical drum of mass 380 kg and radius 1.1 m, mounted on a frictionless axle. The anchor is released and drops 16 m to the water. Use energy considerations to determine the drum's rotation rate when the an- ad mass M. chor hits the water. Neglect the cable's mass. t: Consult 61. Starting from rest, a hollow ball rolls down a ramp inclined at angle 0 to the horizontal. Find an expression for its speed after it's gone a distance d along the incline. 62. A hollow ball rolls along a horizontal surface at 2.5 ms when it encounters an upward incline. If it rolls without slipping up the incline, what maximum height will it reach? cions a by e 10.2 to is Ma. lem 49) 63. As an automotive engineer, you're charged with improving the fuel economy of your company's vehicles. You realize that the rotational kinetic energy of a car's wheels is a significant factor in fuel consumption, and you set out to lower it. For a typical car, the wheels' rotational energy is 37% of their translational kinetic nose a redesigned wheel with the same radius but If this side of force? ional plate You nr
of mass 380 kg and radius 1.1 m, mounted on a frictionless axle.
The anchor is released and drops 16 m to the water. Use energy
considerations to determine the drum's rotation rate when the an-
chor hits the water. Neglect the cable's mass.
61. Starting from rest, a hollow ball rolls down a ramp inclined at
angle 0 to the horizontal. Find an expression for its speed after
it's gone a distance d along the incline.
and mass M.
Hint: Consult
ensions a by
able 10.2 to
62. A hollow ball rolls along a horizontal surface at 2.5 m/s when it
b is Ma.
roblem 49)
encounters an upward incline. If it rolls without slipping up the
incline, what maximum height will it reach?
63. As an automotive engineer, you're charged with improving the
am. If this
putside of
at force?
otational
he plate
fuel economy of your company's vehicles. You realize that the
rotational kinetic energy of a car's wheels is a significant factor
in fuel consumption, and you set out to lower it. For a typical car,
the wheels' rotational energy is 37% of their translational kinetic
energy. You propose a redesigned wheel with the same radius but
20% lower rotational inertia and 26% less mass. What do you
in the wheel's total kinetic energy at a
on. The
Transcribed Image Text:of mass 380 kg and radius 1.1 m, mounted on a frictionless axle. The anchor is released and drops 16 m to the water. Use energy considerations to determine the drum's rotation rate when the an- chor hits the water. Neglect the cable's mass. 61. Starting from rest, a hollow ball rolls down a ramp inclined at angle 0 to the horizontal. Find an expression for its speed after it's gone a distance d along the incline. and mass M. Hint: Consult ensions a by able 10.2 to 62. A hollow ball rolls along a horizontal surface at 2.5 m/s when it b is Ma. roblem 49) encounters an upward incline. If it rolls without slipping up the incline, what maximum height will it reach? 63. As an automotive engineer, you're charged with improving the am. If this putside of at force? otational he plate fuel economy of your company's vehicles. You realize that the rotational kinetic energy of a car's wheels is a significant factor in fuel consumption, and you set out to lower it. For a typical car, the wheels' rotational energy is 37% of their translational kinetic energy. You propose a redesigned wheel with the same radius but 20% lower rotational inertia and 26% less mass. What do you in the wheel's total kinetic energy at a on. The
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