There are four scenarios in which a block of mass m is being pushed with a force

Question

There are four scenarios in which a block of mass m is being pushed with a force across a frictionless horizontal floor. The forces are all parallel to the floor and the magnitudes are all multiples of some value F where F > 0. [Colors in the plots were chosen by the software.] Scenario 1: F vector_1l = + F i Scenario 2: F vector_2 = + 2 F i Scenario 3: F vector_3 = - F i Scenario 4: F vector_4 = - 2 F i (a) Which of the lines in the Velocity vs Time plot correspond to which scenario? (b) Which of the lines in the Kinetic Energy vs Time plot correspond to which scenario?

Explanation / Answer

slope of v-t graph gives the acceleration

if a force is maximum then acceleration also maximum so slope is also maximum

blue :2

red:1

green:3

yello:4

here slope of energy ve t gives the power

power = force*velocity

red:2

blue:1

yello:3

green:4

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