15. The volume of a certain wooden block is 5 cm x 6 cm x 7cm. The mass is 11.392 g. Find the density in kg/L.

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Step-by-step explanation:

w = 5 cm

h = 6 cm

L = 7 cm

V = 5 * 6  7

V = 210 cm^3

1 L = 1000 cm^3

x L = 210 cm^3

1000 cm^3 *x = 210 cm^3

x = 0.210 L

11.392 grams = 11.392 kg/ 1000

mass = 0.011392 kg

density = mass / volume

density = 0.011392 / 0.210

density = 0.0367 kg/L to 3 places of accuracy.

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

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