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) Lois and Clark live in a high-rise apartmeut building. Lois lives on the 30h f

ID: 1585847 • Letter: #

Question

) Lois and Clark live in a high-rise apartmeut building. Lois lives on the 30h floor 85.0 m off the 1) a. b. ground, and Clark lives on the 32th floor 5.50 m directly above her. When Clark was visiting Lois one day, he left his cell phone in her apartment. When she finds it, she calls him on his landliue k out through the window. She throws the cell phone straight up to him with an initial speed of 20.0m/s. But Clark being the klutz that he is, misses catching the phone both on its way up, and again as it is falling down. Meanwhile, Jesse is walking along when he realizes d what's going on. The instant that he sees Clark miss catching the phone for the second time on its he starts to run to see if he can catch the phone before it hits 25.0 m away, way down, being d the ground. a) If Jesse runs with a constant velocity, how fast does he have to run to catch the phone just before it hits the ground? the phone passed Lois on its way down, she tried to reach out and catch it. Unfor- that Lois fell out the window, but Clark did. It takes Clark 0.500s to chauge into his tights and cape, and dive out the window to try and save Lois. Assuming that Clark jumps out the window with zero velocity and then accelerates with a constant dowuward acceleration, at what height off the ground must he catch Lois so that he can decelerate Lois safely before tunately, she reached too far and fell out the window. Jesse was too hitting the ground? (The human body can stand a deceleration of about 5g for a short period of time without it's being fatal.) c) What must Clark's acceleration towards the ground be as he's trying to dive down to save Lois? d) If Jesse keeps running with the sane constant velocity for several meters before he catches (or misses catching) the phone, does he collide with Clark and Lois? 5.50 m $5.0 m 85.0 m b ) Figure 1- (a) Lois throws Clark's cell phone up to bim. Jesse is a distance, d, away whern Clark misses catching it. (b) After Lois falls out the wiudow, Clark dives down to try to save her. (Not to scale.)

Explanation / Answer

Time of fall of phone after Clark misses second time = t say

90.50 m = 0.5 X 9.8 X t^2

t = 4.30 secs

In this time Jose should cover 25m

Speed of Jose = 25m/4.30 secs = 5.81m/s

(b) Ckark can never catch up with Lois since both are in free fall with initial velocity of zero and hence can not save her

(c) Clarke ha s acceleration of = 9.8 m/s^2

(d) Since Lois and phone cover same distance in downward path,both will arrive simultaneously to ground level and hence Lois will fall on Jose and both will move further away and then Clarke will fall on ground