As a prank, your friends have kidnapped you in your sleep, and transported you o

Question

As a prank, your friends have kidnapped you in your sleep, and transported you out onto the ice covering a local pond. When you wake up you are 30.6 m from the nearest shore. The ice is so slippery (i.e. frictionless) that you cannot seem to get yourself moving. You realize that you can use Newton's third law to your advantage, and choose to throw the heaviest thing you have, one boot, in order to get yourself moving. Take your weight to be 580 N (a) What direction should you throw your boot so that you will most quickly reach the shore? at your friend standing on the closest shore O away from the closest shore O straight up in the air perpendicular to the closest shore (b) If you throw your 1.17-kg boot with an average force of 386 N, and the throw takes 0.615 s (the time int boot exerts on you? (Assume constant acceleration.) which you apply the force), what is the magnitude of the force that the (c) How long does it take you to reach shore, including the short time in which you were throwing the boot?

Explanation / Answer

a)

away from the closest shore.

when the boot is thrown away from the nearest shore , the boot gains momentum in that direction, s per conservation of momentum , we must also gain equal and opposite momentum.

b)

according to newton's third law , the boot applies equal and opposite force. hence the force will be 386 N

c)

momentum gained = F t

M v = 386 x 0.615

(580/9.8)v = 386 x 0.615

v = 4.01 m/s

d = distance from shore = 30.6 m

t' = time taken to reach the shore d/v = 30.6/4.01 = 7.63 sec

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