Merry-go-round at an amusement park is initially at rest. It begins to rotate at time t = 0 . The angle through which it rotates is defined by θ(t) = ( t + ke−t/k) , where k is a positive constant, t is in seconds, and θ is in radians. Find the angular velocity of the merry-go-round at t = T.

If a tank filled with water contains a block and the height of the water above point a within the block is 0.8 meter, what is the pressure at point a?

Agroup of students is studying convection currents. they fill two identical balloons with the same amount of helium. one balloon is placed in a freezer and the other in an area with warm air. after 10 minutes, the balloons are released from a height of 1 meter. which of the following do the students most likely observe? question 2 options: the balloons rise at the same rate. both balloons are the same size. the ballons both rise. the cold ballon is larger than the warm balloon. the cold balloon expands and rises. the warm balloon shrinks and sinks. the warm balloon expands and rises. the cold balloon shrinks and sinks.

What is the angular momentum of the bar about the axle?