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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)

Continue the previous problem:  How much does the spring stretch when the mass is hanging still?  Express your unit as “cm”. The original problem: A 36.0-g object is hung vertically from a spring and set to oscillate.  It takes 6.95 seconds to complete 10 full oscillations.

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”.

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”.

Magnets are mounted on the sides of the carts facing each other so that the carts repel each other without touching during a collision.  How much energy is lost in this collision?  Enter your unit as “J”.

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

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