86. A 65-kg student runs at 5.0 m/s, grabs a rope, and swings out over a lake (Fig. 6-45). He releases the rope when his velocity is zero. (a) What is the angle o when he releases the rope? (b) What is the tension in the rope just before he releases it? (c) What is the maximum tension in the rope?

4. if you were an astronaut on the moon, what would you experience? what would you see from your perspective?

Ahanging spring stretches by 35.0 cm when an object of mass 450 g is hung on it at rest. in this situation, we define its position as x = 0. the object is pulled down an additional 18.0 cm and released from rest to oscillate without friction. what is its position x at a moment 84.4 s later? express your answer in cm.

Along wire of diameter 1 mm is submerged in an oil bath of temperature ∞ 31°c. the wire has an electrical resistance per unit length of 0.01 ω/m. if a current of 103 a flows through the wire and the convection coefficient is 500 w/m2·k, what is the steady-state temperature of the wire? from the time the current is applied, how long does it take for the wire to reach a temperature that is within 1°c of the steady-state value? the properties of the wire are 8000 kg/m3, 500 j/kg·k, and 20 w/m·k.