QUESTION 4 (Start on a NEW page.) Two balls A and B, are thrown simultaneously from different positions of the
balcony overlooking the street. Ball A is thrown vertically upwards with a velocity of
5 m. st from the top of a balcony and ball B is thrown vertically upwards with a
velocity of 8 m. s?from the bottom of the balcony. Ignore effects of alr resistance.
Ball A:5.m. st
balcony
Ball B: 8 m. s."
Sreet
4.1 Define the term projectile.
(2)
4.2 Calculate the magnitude of the displacement above the balcony of ball A.
(3)
4.3 If the height of the balcony is 5 m, show by calculations whether or not ball B
reached the maximum height reached by ball A.
(5)
Please turn over
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Amass m = 74 kg slides on a frictionless track that has a drop, followed by a loop-the-loop with radius r = 18.4 m and finally a flat straight section at the same height as the center of the loop (18.4 m off the ground). since the mass would not make it around the loop if released from the height of the top of the loop (do you know why? ) it must be released above the top of the loop-the-loop height. (assume the mass never leaves the smooth track at any point on its path.) 1. what is the minimum speed the block must have at the top of the loop to make it around the loop-the-loop without leaving the track? 2. what height above the ground must the mass begin to make it around the loop-the-loop? 3. if the mass has just enough speed to make it around the loop without leaving the track, what will its speed be at the bottom of the loop? 4. if the mass has just enough speed to make it around the loop without leaving the track, what is its speed at the final flat level (18.4 m off the ground)? 5. now a spring with spring constant k = 15600 n/m is used on the final flat surface to stop the mass. how far does the spring compress?