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. Since you're an engineer, the first thing you do when you wake up is drill a small hole in the ice and estimate the ice to be 6.7cm thick and the distance to the closest shore to be 27.8 m. 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 601.0 N. (Lucky for you that, as an engineer, you sleep with your knife in your pocket and your boots on.)b) If you throw your 1.28-kg boot with an average force of 410.0 N, and the throw takes 0.657 s (the time interval over which you apply the force), what is the magnitude of the force that the boot exerts on you? (Assume constant acceleration.) c) How long does it take you to reach shore, including the short time in which you were throwing the boot?

Explanation / Answer

M = 601/ g = 61.32

F X delta T = Mx delta V

Vf- V0 = (F x delta T) / M

since V0 = 0

Vf = 601 (.657) /M = 6.4389

acceleration during the impulse period a = Vf-V0 / delta T

time total = .657 + (27.8- .5a(.657^2)/Vf

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