In a fit, a toddler throws straight down his favorite 2 kg toy with an initial velocity of 1.7 m/s. What is the magnitude of the change in velocity of the toy from t = 0.22 seconds to t = 0.42 seconds?

7 . Two people play tug of war. The 100-kg person on the left pulls with 1,140 N, and the 70-kg person on the right pulls with 835 N. Assume that neither person releases their grip on the rope with either hand at any time, assume that the rope is always taut, and assume that the rope does not stretch. What is the magnitude of the tension in the rope in Newtons?

9 . A baseball pitcher throws a 158 g baseball at a velocity of 33 m/s towards home plate. The batter hits the ball, and the velocity of the ball coming off the bat is 46 m/s in the opposite direction of the velocity of the pitch. The bat is in contact with the ball for 0.004 seconds. What is the magnitude in Newtons of the average force applied to the ball?

10 . A meterstick is balanced on a fulcrum at its center. Then a 260 N weight is placed 20 cm to the left of center. How many cm to the right of center would a 130 N weight need to be placed in order to balance the system?

8 . A man pulls a 5.2-kg sled 49 meters along an angled hill with a force of 36 N, which elevates the man 31 meters above the bottom of the hill. The man then hops on his sled and slides from rest to the bottom of the hill back along his 49 meter path, during which a 301 N frictional force acts upon his sled. How much work in Joules does the man do against friction in pulling the sled up the hill? I had 184.24 as my final answer

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