A basejumper jumping off a cliff initially undergoes free fall with negligible a

Question

A basejumper jumping off a cliff initially undergoes free fall with negligible air resistance. a. How far does the basejumper fall in the: i. first second? ii. second second? (From t = 1 s to t - 2s) iii. third second? (From t - 2 s to t = 3s) iv. fourth second? (From t = 3 s to t 0 4s) b. What is her velocity at the end of each of the first 4 second? Three cables are mailed to the ceiling at positions x = 0_1 x = 1 and x - 2 m. The middle cable is 1 m long, and the other two are both 1.5 m long. All three are joined at a knot, which is weighed down by a 10 kg mass. The system remains at rest. a. Draw a diagram of this scenario labelling all forces and their directions. b. Write an expression for the horizontal and vertical components of each force. c. Calculate the relevant angles between the cables and the ceiling. d. Calculate the tension in each cable.

Explanation / Answer

i)from eqn of motion

S = ut + 1/2 at^2

In our case, S = H ; t = 1 , a = g

H = 1/2 x 9.8 x 1 = 4.9 m

H1 = 4.9 m

ii)from t = 1 to 2

H2 = 1/2 x 9.8 x 1 = 4.9

H2 = 4.9 m

v2 =

total fall = 4.9 + 4.9 = 9.8 m

iii)t = 2 to 3

H3 = 4.9 m

total fall = 4.9 + 4.9 + 4.9 = 14.7 m

iv)H4 = 4.9 m

total fall = 4.9 +4.9 + 4.9 + 4.9 = 19.6 m

H4 = 19.6 m

b)v = u + at

v = 9.8 x 4 = 39.2 m/s

Hence, v = 39.2 m/s

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