Continue the previous problem: Determine the speed of the object near position 2, where x = {x} cm.  Enter the speed in the unit of cm/s. The original problem: A 250-g object connected to a light spring with a spring constant of 1.00 N/m sits on a frictionless horizontal table. Suddenly, the object is knocked by a force causing it to move towards right and then vibrate back and forth with an amplitude of 10.0 cm as shown in the drawings.   

In a spring-mass system, a 100-g mass block oscillates on a frictionless tabletop.  It’s position x varies with time t as: x(t)=(5.00 cm) x sin(2t) What is the amplitude of vibration in cm?  Enter your unit as “cm”.

Continue the previous problem: What is the position of the mass  in cm at t = π/{n} (sec)?   Enter your unit as “cm”. The original problem: In a spring-mass system, a 100-g mass block oscillates on a frictionless tabletop.  It’s position x varies with time t as: x(t)=(5.00 cm) x sin(2t)

A 0.717-g guitar string is 0.629 m long.  The string is under a tension of 73.9-N.  What is the frequency of the {n}th  harmonics in Hz?  Enter your unit as “Hz”.

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 y coordinate of center of gravity for this configuration. Enter your unit as “m”.

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 much energy is lost in this collision (the absolute value in J)?   Enter your unit as “J”.

A 50.0-g uniform meter stick is supported by a fulcrum at the 30.0-cm mark. A 100-g mass is hung at the 50.0-cm mark.  What mass (in g) should you place at the 10.0-cm mark to perfectly balance the stick in horizontal position?  Enter your unit as “g”.

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, what is the average force that the 50.0-kg girl exerts on the 35.0-kg girl during the crash?  Enter your unit as “N”.

Why does Paine argue against waiting for independence?

According to Paine, what is the role of society?