Problem 5. A box of mass m is sliding across a table (H = 1.5 m tall) with an initial speed of vo = 8 m/s and is a distance d = 50 cm from the edge of the table, as shown below. The coefficient of kinetic friction between the box and the table is μk = 0.22. d m 0 H Part (a) What is the box's velocity when it reaches the edge of the table? Remember that velocity is a vector quantity. Part (b) Regardless of how you did part (a), there is another way to arrive at the same result. Describe another method of finding the same result. Part (c) After the box slides off the table, treat is as a projectile. How far in the horizontal direction does the box travel before hitting the floor?

The track near the top of wonderland's roller coaster is looped with a diameter of 18 m. When you are at the top, you feel as if you weigh one third of your true weigh (65kg). How fast is the roller coaster moving ?

Bank robbers have pushed a 1000 kg safe to a third-story floor-toceiling window. They plan to break the window and lower the safe 10.0 m to their truck. Not being too clever, they stack up 500 kg of furniture, tie a rope between the safe and the furniture, and place the rope over a pulley. Then they push the safe out of the window. The coefficient of kinetic friction between the furniture and the floor is 0.5. The rope would break if the force on it exceeds 5000 N. a) Does the rope break? b) What is the acceleration of the safe? c) What is the safe’s speed when it hits the truck?

A block is sent up an incline with a velocity of 3.51 m/s. Assume there is no friction between the incline and the block. The angle is at an incline of 31.1 degrees with the horizontal. A) How far up the incline does the block go? B) How long does it take to get there? C) What is it's speed when it gets back to the bottom?