Adog wishes to swim across a slow-moving stream. the dog can swim at 2.0m/s in calm water. the velocity of the current is 3.0m/s. the distance directly across the stream is 50m.
a) how long does it take dog described above to swim 50m in a bost of water that has no current?
b) how far downstream will current have carried the dog in the time it takes the dog to get across the stream?
c) calculate dog’s resultant velocity relative to bank from where the dog started.

Aperson stands on a platform, initially at rest, that can rotate freely without friction. the moment of inertia of the person plus the platform is ip. the person holds a spinning bicycle wheel with its axis horizontal. the wheel has moment of inertia iw and angular velocity ωw. take the ωw direction counterclockwise when viewed from above. part a what will be the angular velocity ωp of the platform if the person moves the axis of the wheel so that it points vertically upward?

A2k pendulum has a speed of 1 m/s at a height of 1/2 meter

Aclarinetist, setting out for a performance, grabs his 3.350 kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 24.65 n. find the case's vertical acceleration. indicate an upward acceleration as positive and a downward one as negative.