Physics
04.05.2021 15:21
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An explorer is caught in a whiteout (in which the snowfall is so thick that the

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. he was supposed to travel due north for 5.4 km, but when the snow clears, he discovers that he actually traveled 8.1 km at 47o north of due east. (a) how far and (b) in what direction (south of due west) must he now travel to reach base camp?
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lacybyrd
lacybyrd
5,0(12 marks)

Actual displacement that he required to move

d_1 = 5.4 km towards North

Displacement that he moved due to snow is

d_2 = 8.1 km at 47 degree North of East

now in vector component form we can say

d_1 = 5.4 \hat j

d_2 = 8.1 cos47 \hat i + 8.1 sin47 \hat j

d_2 = 5.52 \hat i + 5.92 \hat j

now the displacement that is more required to reach the destination is given as

d = d_1 - d_2

d = 5.4\hat j - (5.52 \hat i + 5.92\hat j)

d = -5.52 \hat i - 0.52 \hat j

so the magnitude of the displacement is given as

d = \sqrt{5.52^2 + 0.52^2}

d = 5.54 km

its direction is given as

\theta = tan^{-1}\frac{0.52}{5.52} = 5.38 degree

so it is 5.54 km towards 5.38 degree North of West.

lyn94
lyn94
4,7(1 marks)
Since the first law says energy cannot be created or destroyed, it is a great demonstration of the heat energy being used to convert the liquid inside the kettle into a gas. The matter and energy are both converted, but nothing is destroyed or created.

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