1. a delivery truck drives 1 mile north then 2 miles east, then 3 miles north-we

Question

1. a delivery truck drives 1 mile north then 2 miles east, then 3 miles north-west determine the resultant displacement using vectors components?(note you need to find both magnitude and direction of the resultant)

2. the compass of an aircraft indicates that it is headed due north and its airspeed indicador shows it is moving through the air at 120mph. If there is a wind of 50mph from west to east, what is the velocity of the aircraft relative to the earth?

3. a baseball leaves the bat at an angle of 30Degrees above the horizontal and is caught by an outfielder 122 meters from plate.

a) what is the Initial Speed of the ball?

B) how high did it rise?

c) how long was it in the air?

4. a body of mass 10kg is moving with constant velocity of 5M/S on a rough horizontal surface. the coefficient pf kinetic friction between the body and the surface is .20

A)what horizontal force is required to maintain motion?

B) if the force is removed how long does it take the body to come to rest?

5. an object with mass(m1)=5kg rest frictionless plane inclined at an angle of 45 degrees and is connected to a cable that passes over a pulley and is then fastened to a hanging mass (m2)=10kg find

A) the acceleration of each object?

b)the tension in the cable?

6. a 2kg block is dropped from a height of .4M onto a spring whose force constant "k" is 1960 N/M. FInd the maximum distance the spring will compressed?

7. two identical 7kg bowling balls roll forward each other . the one on the left is moving at at +4m/s while the one on the right is moving at -4m/s. what is the velocity of each ball after they collide elastically?

8. three masses are placed as follow in x,y coordinates: 5.0kg at (0,0)m 3.0kg at ( 0,4)m            and 4kg at (3,0)M   where should a fourth mass of 8kg be placed so that the center of the mass of the entire arrangement will be at (0,0)M ?

9. a block of mass .05kg is attached to a cord passing through a hole on a horizontal frictionless surface. The block is originally revolving at a distance of .2M from the hole, with an angular velocity of 3 rads/sec. The cord is then pulled from below shortening the radius of the circle in which the block moves to .1M

A) what is the new angular velocity?

B) find the change in kinetic energy of the block?

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