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Force F is applied to an object of mass {m}-kg and moving at velocity of 2.0 m/s.  Find the impulse (in units of Ns) on the object during the 14 second interval.

A child of mass {m} kg tries to cross a river by swinging from a vine. The vine is 10.0 m long, and his speed at the bottom of the swing is 7.00 m/s.  What is the tension (in units of N) in the vine at the lowest point?

A Lazy Susan (turning tabletop) has radius 0.750 m.  An apple is placed at the edge of the turning table. A child turns the tabletop from rest to an angular speed of 5.00 rev/min in 3.00 s.  What is the value of the apple’s tangential acceleration at 3.00 second in m/s2? Enter units as “m/s^2”

A Lazy Susan (turning tabletop) has radius 0.750 m.  An apple is placed at the edge of the turning table. A child turns the tabletop from rest to an angular speed of 5.00 rev/min in 3.00 s.  What is the value of the apple’s centripetal acceleration at the 3.00 second in m/s2? Enter units as “m/s^2”

A girl of 50.0-kg skating at 10 m/s crashes into another girl of mass 35.0-kg moving in the same direction at 8.0 m/s.  Assuming the impact lasts 0.15 s, after which they move together, how fast (in units of m/s)  are they moving immediately after crashing?  

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (3.0, 0.0) m, 3.0 kg at (0.0, {y1}) m, 4.0 kg at (0.0, 0.0) m and a fourth object of 8.0 kg at (2.0, {y2}) m.  Find the y coordinate (in m) of center of gravity for this configuration.

Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at ({x1}, 0.0) m, 3.0 kg at (0.0, 5.0) m, 4.0 kg at (0.0, 0.0) m and a fourth object of 8.0 kg at ({x2}, 6.0) m.  Find the x coordinate (in m) of center of gravity for this configuration.

Please fill in the blank with the appropriate selection below:  A Type IV hypersensitivity reaction is mediated by _______ ___that provokes an inflammatory reaction against exogenous or endogenous antigens. 

Find and classify the critical points of . For each classification, enter a list of ordered pairs (x,y) where the max/min/saddle occurs.  If there is no points for a classification, enter DNE. Local maximum: Local minimum: Saddle point(s): _______

Find the directional derivative of the function at the point (-1,3){“version”:”1.1″,”math”:”(-1,3)”} in the direction of the vector {“version”:”1.1″,”math”:”<1,-2>”}.  Please show your answers to at least 4 decimal places. _______