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”.

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?

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”.

Why does Paine criticize the idea of reconciliation with Britain?

What does Paine say about America’s relationship with Britain?

How does Paine address the idea that Britain has protected the colonies?