Item 11 ( Learning Goal: To understand and be able to calculate the components o

Question

Item 11 ( Learning Goal: To understand and be able to calculate the components of vectors. Correct You have heard vectors defined as quantities with magnitude and direction, familiar ideas also found in statements such as 'three miles northeast of here. Components, the lengths in the x and y directions of the vector, are a different way to define vectors. In this problem, you will learn about components, by considering ways that they arise in everyday life. You can also think about components as projections onto the coordinate axes. Consider the shadow cast by your hand if you hold it near a movie screen.(Figure 3) As you tilit your hand closer to the horizontal, the shadow gets smaller. If you think of your hand as a vector with tail at the base of your palm and arrow at your fingertips, the shadow's height corresponds to the y component of the vector. If you were to shine another light from above, the shadow cast below your hand would correspond to the x component Part D What is the length of the shadow cast on the vertical screen by your 10.0 cm hand if it is held at an angle of Express your answer in centimeters to three significant figures. 30.0° above horizontal? View Available Hint(s) Figure CIn Submit Part E This question will be shown after you complete previous question(s). Part F This question will be shown after you complete previous question(s). Provide Feedback Next>

Explanation / Answer

Item 11, Part D

It is the y-component, so it is equal to

= 10cm x sin(30)

= 5 cm (ans)

Item 10, Part D

Given:

d = 5.23 x 10^-6 kg/mm3

1mm = 10-3m

so, 1mm3 = (10-3)3 m3 = 10-9 m3

So,

5.23 x 10^-6 kg/mm3 = (5.23 x 10^-6) kg/ (10-9 m3)

= 5230 kg/m3

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