3. a solid sphere is rolling without slipping along a horizontal surface with a speed of 5.50
m/s when it starts up a ramp that makes an angle of 25.0° with the horizontal. what is the
speed of the sphere after it has rolled 3.00 m up the ramp? notice the sphere rises a
height h as it rolls up the ramp.
wf
v
3.00 m
a) 4.01 m/s
b) 8.02 m/s
c) 1.91 m/s
d) 2.16 m/s
e) 3.53 m/s
250

Abag of potato chips contains 2.00 l of air when it is sealed at sea level at a pressure of 1.00 atm and a temperature of 20.0 deg c. what will be the volume of the air in the bag if you take it with you, still sealed, to the mountains where the temperature is 7.00 deg c and atmospheric pressure is 70.0 kpa? assume that the bag behaves like a balloon and that the air in the bag is in thermal equilibrium with the outside air.