Map d Sapling Learning macmillan leaming object, which is initially at rest on a

Question

Map d Sapling Learning macmillan leaming object, which is initially at rest on a frictionless horizontal surface, is acted upon by four constant forces. F1 is 28.6 N acting due East, F2 is 41.2 N acting due North, F3 is 52.1 N acting due West, and F4 is 10.8N acting due South. How much total work is done on the object in 2.22 seconds, if it has a mass of 14.0 kg? Number Units 258.76li Which type of energy is changing for the object while the above work is being done? O O elastic potential energy kinetic energy internal energy O gravitational potential energy How fast does the object end up moving at the end of the 2.22 seconds? Number Units m/ s 6.08 Incorrect

Explanation / Answer

a) Fhorizontal = 52.1 - 28.6 = 23.5 N

Fvertical = 41.2 - 10.8 = 30.4 N

awest = 23.5 / 14 = 1.68 m/s2

anorth = 30.4 / 14 = 2.17 m/s2

s = u t + 1/2 a t2

= 23.5 * [0.5 * 1.68 * 2.222] + 30.4 * [1/2 * 2.17 * 2.222]

= 260 J

c) vx = 1.68 * 2.22 = 3.73 m/s

vy = 2.17 * 2.22 = 4.82 m/s

v = sqrt [3.732 + 4.822]

v = 6.09 m/s

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