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5. Mittens, a housecat, recorded standing a standing vertical jump of 86.0 cm. W

ID: 1785183 • Letter: 5

Question

5. Mittens, a housecat, recorded standing a standing vertical jump of 86.0 cm. When he made the leap. Mittens's mass was m = 4.5 kg. a) Calculate w, Mittens's weight when he set the record. b) Calculate vo, the speed at which Mittens left the floor c) Calculate r, the time that Mittens was aMittensve the floor before reaching his record-setting altitude. If Mittens's jump motion required 0.821 seconds, then calculate his acceleration a while he was in con- tact with the floor d) e) Calculate n, the normal force exerted by the floor on Mittens during his jump motion.

Explanation / Answer

a)

w = weight = mg = 4.5 x 9.8 = 44.1 N

b)

vo = initial speed at the bottom = ?

vf = final speed at the top = 0 m/s

d = distance travelled = 86 cm = 0.86 m

a = acceleration = - 9.8

using the equation

vf2 = vo2 + 2 a d

(0)2 = vo2 + 2 (-9.8) (0.86)

vo = 4.11 m/s

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