Question 1) A fisherman has caught a very large, 5.0 kg fish from a dock that is

Question

Question 1) A fisherman has caught a very large, 5.0 kg fish from a dock that is 2.0 m above the water. He is using lightweight fishing line that will break under a tension of 56 N or more.

A) He is eager to get the fish to the dock in the shortest possible time.If the fish is at rest at the water's surface, what's the least amount of time in which the fisherman can raise the fish to the dock without losing it?

Question 2) Riders on the Tower of Doom, an amusement park ride, experience 2.0 s of free fall, after which they are slowed to a stop in 0.50 s .

A) What is a 65 kg rider's apparent weight as the ride is coming to rest?

B) By what factor does this exceed her actual weight?

Explanation / Answer

1) A)

T - mg = ma

56 - 5*9.81 = 5*a

a=1.39 m/s^2

x = 1/2 a t^2

2 = 0.5*1.39*t^2

t=1.70 s

2) first find speed after free fall

v = v0 + a t = 9.81*2

then find a when coming to a stop

0 = 9.81*2 -a*0.5

a=39.24 m/s^2

N - mg = ma

N = ma + mg = 65*(39.24+9.81)=3188 N

b) N/mg = 3188/(65*9.81)= 5.0

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