The length of nylon rope from which a mountain climber is suspended has a force constant of 1.50 × 10ª N/m. (a) What is the frequency at which he bounces, given his mass plus equipment to be 72.5 kg? 2.305 V Hz (b) How much would this rope stretch to break the climber's fall, if he free falls 2.00 m before the rope runs out of slack? 0,55 Can you determine the kinetic energy of the climber at the instant when the rope runs out of slack? As the rope stretches, what types of potential energy are important? m (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. bounce frequency Hz distance stretched m

Let's try a few more examples that relate power and energy. A certain high-efficiency LED light bulb has a power output of 9.20 W. That is, 9.20 J of electric energy is converted to electromagnetic (light) energy and radiated away every second. How much energy is output by the lightbulb if it is left on for a total time of 7.50 hours? In this case, we're relating power to energy change, so we simply use the relationship E t P = Here, instead of work W, we use in the equation E, which is the amount of energy output or converted in the amount of time t. From this, what do we find the total energy output in joules to be? 33120 X x Solve the above equation for the energy E in terms of power P and time t. Remember that 1 W = 1 J/s, so to find the energy in joules, convert the time to seconds first. There are 60 minutes in one hour and 60 seconds in one minute. J

r=7.8cm N=50 Questions: Part 1: t=15s ; Find B=? Part 2: L=1m E=17v B=? (use B from part 1) Find: v=? (Velocity)

Radiation from the sun reaching the earth has an intensity of 1.4 kW/m^2. a) What is the total power radiated by the sun? (The sun is 1.5 x 10^11 m from earth.) b) Assuming all the incident energy is absorbed, what is the force on the earth due to radiation pressure?