Please answer questions 11 through 15 and show your workSolu

Solution

11) Two non zero vectors have dot product zero if and only if they are orthogonal.

12) Potential energy = m g L(1 - cos 32)

142 = m * 9.8 * 5.10 * (1 - cos 32)

m = 142 / ( 9.8 * 5.10 * (1 - cos 32) )

m = 18.7 kg

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13) v₁ = v₂

m g h = m v² /2

v² = 2 g h.

Aa they start from the same height, they have the same speed at the bottom

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14) v² = u²[ 1 - sin² t / 2 ]

v = 30.0 * sqrt[ 1 - sin² 40 / 2 ]

v = 26.7 m/s