A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ = 2.00 kg, m₂ = 7.15 kg, and 0 = 50.0°. m1 m2 0 (a) What are the magnitude of acceleration (in m/s²) of the block and sphere? m/s² (b) What is the tension (in N) in the cord? (Enter the magnitude.) N (c) What is the speed (in m/s) of each object 3.00 s after being released from rest? m/s

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Four acrobats of mass 67.0 kg, 68.0 kg, 62.0 kg, and 55.0 kg form a human tower, with each acrobat standing on the shoulders of another acrobat. The 67.0-kg acrobat is at the bottom of the tower. (a) What is the normal force acting on the 67.0-kg acrobat? (Enter the magnitude only.) 2469.6 ✔N (b) If the area of each of the 67.0-kg acrobat's shoes is 500 cm2, what average pressure (not including atmospheric pressure) does the column of acrobats exert on the floor? 53686.96 X Your response differs from the correct answer by more than 100%. Pa (c) Will the pressure be the same if a different acrobat is on the bottom? Pressure will be the same since the total mass of acrobats remains the same

In deep space, an astronaut is whipping a heavy tool around in a circle by a taut cable. The cable is 1 meter long (from the astronaut's fist to the tool), and the tool makes a full trip around the circle in half a second as it moves with constant speed. The mass of the tool is 10 kg. What is the tension in the cable?