LONG PROBLEM 1. A pendulum of some length '1' has certain time period on earth. Now, you take the pendulum to Mars. You want the pendulum to have the same period on Mars and Earth. To do so, you would have to either increase/decrease the length of the pendulum. Find the percent increasefdecrease of the length of the pendulum so that it has same period on both planets. 2. You launched a projectile which makes an angle of 30 degrees to the horizontal. The mass of the projectile is 20 kg. To achieve a range of 50 m, what should be the initial velocity of the projectile? (Assume there '5 no air resistance, use g = 10 W52) There is no air resistance in the ideal case. But in real life, there's always some resistance. In such case, what would happen to the range? (You don 't have to write numerical answer) By how much amount the initial velocity of the projectile should be changed, so that it stays for a total of 10 seconds above ground