Match the pest to it’s description. Use each of the following answer choices once.

A speaker emits sound waves with a power output of 150 watt. Considered it to be a small spherical source of sound.  Determine the sound intensity {d} m from the speaker in W/m2.  Enter your unit as “W/m^2”.

Continue the previous problem:  What is the total energy of the oscillating mass in mJ?  Enter your unit as “mJ”. 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)  

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.   

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”.

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 the vine at the lowest point?  Enter your unit as “N”.

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.   Enter your unit as “m/s^2”). What is the value of the apple’s centripetal acceleration at the 3.00 second in m/s2?

Force F is applied to an object of mass {m}-kg and moving at velocity of 2.0 m/s.  Find the impulse force on the object during the 14 second interval.  Enter your unit as “Ns”.

(Continue the above problem) What is the speed of the child at a point {h} meters above the bottom of the swing after passing it?  ignore air resistance.  Enter your unit as “m/s”.

Magnets are mounted on the sides of the carts facing each other so that the carts repel each other without touching during a collision.  What is the speed of the 4.0 kg car after the collision?  Enter your unit as “m/s”.