Two fun-loving otters are sliding toward each other on a muddy (and hence frictionless) horizontal surface. one of them, of mass 8.00kg , is sliding to the left at 5.50m/s , while the other, of mass 5.75kg , is slipping to the right at 6.00m/s . they hold fast to each other after they collide.

1. find the magnitude of the velocity of these free-spirited otters right after they collide.
2. find the direction of the velocity of these free-spirited otters right after they collide. (right or left)
3. how much mechanical energy dissipates during this play?

Askydiver weighing 140 lb (including equipment) falls vertically downward from an altitude of 19,000 ft and opens the parachute after 18 s of free fall. assume that the force of air resistance, which is directed opposite to the velocity, is of magnitude 0.55|v| when the parachute is closed and is of magnitude 14|v| when the parachute is open, where the velocity v is measured in ft/s. assume that acceleration due to gravity has magnitude 32 ft/s/s; remember that weight is the product of mass and gravitational acceleration. (a) find the speed of the skydiver when the parachute opens. (b) find the distance fallen before the parachute opens. (c) what is the limiting velocity vl after the parachute opens? (d) determine how long the sky diver is in the air after the parachute opens. (e) plot the graph of velocity versus time from the beginning of the fall until the skydiver reaches the ground.

In the first law of thermodynamics, triangle e=q-w, what does q stand for

A2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kn. what is the frequency of the fundamental mode of vibration of this wire?