(Solved): 1.-A bullet of mass m = 5 g moves with velocity v = 400 m/s and strikes a block of wood of mass M=1k ...

1.-A bullet of mass m = 5 g moves with velocity v = 400 m/s and strikes a block of wood of mass M=1kg attached to a spring of spring constant k = 200 N/mass in the diagram. The bullet strikes the block and remains embedded in it. The block slides on a frictionless surface to the right, compressing the spring.

• ??? What type of collision takes place between the bullet and the block: elastic or inelastic?
• ??? What is the velocity of the block (with the bullet inside) immediately after being struck by the bullet?
• ???What is the maximal compression of the spring?
• ???What is the total mechanical energy of the system (bullet + block + spring) -???Before the bullet strikes the block - Immediately after the bullet strikes the block - When the spring is maximally compressed 2-???A 0.300-kg ball is dropped from rest at a point 1.00 m above the floor. The ball rebounds straight upward to a height of 0.700 m. The collision with the floor lasts 0.1 s.
• ???Is the collision between the ball and the floor elastic or inelastic? Explain.
• ??? What is the velocity (magnitude and direction) of the ball just before it hits the floor? What is it just after the ball bounced off the floor?
• ???What is the impulse of the net force applied to the ball during the collision with the floor?
• ??? What is the average net force on the ball during the collision with the floor?

3. A 900 kg car goes around a 500 m radius curve in the road at a speed of 25.0 m/s.

• ???Calculate the centripetal force exerted on this car.
• ??Assuming an unbanked curve, find the minimum static friction coefficient, between the tires and the road, which will allow the car to drive around the curve without skidding.