James (mass 83.0 kgkg) and Ramon (mass 55.0 kgkg) are 20.0 mm apart on a frozen pond. Midway between them is a mug of their favorite beverage. They pull on the ends of a light rope stretched between them. Ramon pulls on the rope to give himself a speed of 1.10 m/sm/s.Part AWhat is James's speed?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typevJ𝑣J =

You are standing on a large sheet of frictionless ice and holding a large rock. In order to get off the ice, you throw the rock so it has velocity 12.0 m/sm/s relative to the earth at an angle of 35.0∘∘ above the horizontal. Your mass is 74.0 kgkg and the rock’s mass is 5.50 kgkg.Part AWhat is your speed after you throw the rock?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =nothing

Two figure skaters, one weighing 625 NN and the other 765 NN, push off against each other on very smooth ice.Part AIf the heavier skater travels at 1.30 m/sm/s, how fast will the lighter one travel?Express your answer in meters per second.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typev𝑣 =nothingm/sm/sSubmitRequest AnswerPart BHow much kinetic energy is "created" during the skaters' maneuver?Express your answer in joules.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeK𝐾 =nothingJJSubmitRequest AnswerPart CWhere does this energy come from?The kinetic energy of the system was produced by the work the two skaters do on each other.The kinetic energy of the system was produced by the work the heavier skater does on the lighter one.The kinetic energy of the system was produced by the work the lighter skater does on the heavier one.The kinetic energy of the system was produced by the work done by ice on the two skaters.

A 68.5 kgkg astronaut is doing a repair in space on the orbiting space station. She throws a 2.25 kgkg tool away from her at 3.50 m/sm/s relative to the space station.Part AWith what speed will she begin to move?Express your answer with the appropriate units.Activate to select the appropriates template from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeActivate to select the appropriates symbol from the following choices. Operate up and down arrow for selection and press enter to choose the input value typeΔvΔ𝑣 =nothingnothingSubmitRequest AnswerPart BIn what direction will she begin to move?She moves opposite to the direction in which she throws the tool.She moves in the direction in which she throws the tool.

Identical twins, each with mass 45.5 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 2.80 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B?Twin A     m/sTwin B     m/s

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast (in m/s) is the boat approaching the dock when it is 5 m from the dock? (Round your answer to two decimal places.)