1. (20%) The only force acting on a 2.0 kg body as it moves along the x axis var
ID: 1902127 • Letter: 1
Question
1. (20%) The only force acting on a 2.0 kg body as it moves along the x axis varies as shown in Figure below. The velocity of the body at x = 0 is 4.0 m/s. (a) What is the kinetic energy of the body at x = 3.0 m? (b) At what value of x will the body have a kinetic energy of 8.017 (c) What is the maximum kinetic energy attained by the body between x = 0 and x = 5.0 m? ?
1. (20%) The only force acting on a 2.0 kg body as it moves along the x axis varies as shown in Figure below. The velocity of the body at x = 0 is 4.0 m/s. (a) What is the kinetic energy of the body at x = 3.0 m? (b) At what value of x will the body have a kinetic energy of 8.017 (c) What is the maximum kinetic energy attained by the body between x = 0 and x = 5.0 m? ?Explanation / Answer
a)Work done on body till x=3m= area under curve from x=0 to x=3=-4J
KE=KEi+Work done=0.5*2*42-4=12J
b)Work done as a function of x for x>2 =area under graph=-4(x-2)J
KE=KEi+Work done
8.017=16-4(x-2)
Solving,
x=3.996m4.0m
c) maximum kinetic energy is till x=1m since the work done is positive only till then.
W=0.5*4=2J
KE=KEi+Work done=16+2=18J
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