2. Two different objects of equal Ap- horizontal, variable forces mass (2.0 kg)

Question

2. Two different objects of equal Ap- horizontal, variable forces mass (2.0 kg) move along different horizontal surfaces acted upon by as shown in the graphs a. and b. below. Both objects start from rest. Graph a. Graph b. 12 pts] Graph a. is best used to determine: [Circle one or more] kinetic energy GImpulse momentum work 12 pts] Graph b. is best used to determine :[Circle one or more] kinetic energy Impulse momentum (work 15 pts] Determine the kinetic energy at 16.0 m. 5 pts] determine the velocity att 16.0 seconds.

Explanation / Answer

2) Area of F-t graph shows impulse or change in momentum and area of F-x graph shows work done or change in energy.

a. graph a is best used to determine impulse and momentum.

b. graph b is best used to determine work and kinetic energy.

c. kinetic energy at x=16 m is given by net work done by curve F-x.

or    KE = (14*4 + 14*6/2) - (3*7/2 + 7*3) = 66.5 J

d. Impulse at t=16s is found by area under curve F-t.

Impulse = change in momentum = (14*4 + 14*6/2) - (3*7/2 + 7*3) = 66.5 N-s

As initial momentum is zero,

velocity, v = 66.5/m = 66.5/2 = 33.25 m/s

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