Two objects (m₁ = 5.05 kg and m₂ = 3.50 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 5.05-kg object is released from rest at a point h = 4.00 m above the table. 102 m₂ (a) Determine the speed of each object when the two pass each other. 2.66 ✔ m/s (b) Determine the speed of each object at the moment the 5.05-kg object hits the table. x Your response differs from the correct answer by more than 10%. Double check your calculations. m/s (c) How much higher does the 3.50-kg object travel after the 5.05-kg object hits the table? x Your response differs from the correct answer by more than 100%. m

In the figure, block 2 (mass 1.70 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 232 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.30 kg), traveling at speed v1 = 3.40 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? Number i Units m

M= 2,500 kg m= 800 kg

Since you are studying mechanics, you decide to consider what Isaac Newton learned by sitting under an apple tree. Fortunately, you decide to wear a helmet, so you may be more practical than Newton was when an apple fell on his head. And you're in luck, an apple (ma = 0.3 kg) falls vertically from the tree and strikes your helmet with a velocity, V₁ = 5 m/sec. The apple then bounces off your helmet to the left at a velocity V₁ = 2 m/sec and an angle of 40° above the horizontal (see the figure). The contact time between the apple and the helmet is 0.12 seconds. (a) Determine the horizontal and vertical components of the impulse exerted by the helmet on the apple. (b) Determine the vertical component of the average impulsive force exerted by the helmet on the apple. V₂ = 2 m/sec Use COLM principles, starting with governing equations, to earn full credit. V₁ = 5 m/sec