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A 6.30 kg object is initially moving so that its x-componentof velocity is 6.00m

ID: 1738685 • Letter: A

Question

A 6.30 kg object is initially moving so that its x-componentof velocity is 6.00m/s and its y-component of velocity is 1.60m/s. a)What is the Kinetic Energy of the abject at this time? b)Find the change in K.E. if the velocity changes so that thex-component is 8.50 m/s and the new y- component is 5.00 m/s. A 6.30 kg object is initially moving so that its x-componentof velocity is 6.00m/s and its y-component of velocity is 1.60m/s. a)What is the Kinetic Energy of the abject at this time? b)Find the change in K.E. if the velocity changes so that thex-component is 8.50 m/s and the new y- component is 5.00 m/s.

Explanation / Answer

m = 6.30 kg, vx = 6.00 m/s, vy = 1.60m/s. a) K = mv2/2 = m(vx2 +vy2)/2 = 121.5 J b) vx' = 8.50 m/s, vy' = 5.00 m/s. K' = mv'2/2 = m(vx'2 +vy'2)/2 = 306.3 J the change = K' - K = 184.8 J