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Two persons of equal weight are running ...

Two persons of equal weight are running at speeds of `4ms^-1` and `5ms^-1`, respectively. Both increase their speeds by `1ms^-1` in a time span of `10s`. Who does more work? Who develops more power?

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AI Generated Solution

To solve the problem, we need to calculate the work done and power developed by each person as they increase their speeds. We will follow these steps: ### Step 1: Calculate the initial kinetic energy for both persons. The kinetic energy (KE) is given by the formula: \[ KE = \frac{1}{2} mv^2 \] where \( m \) is the mass (or weight, since they have equal weight) and \( v \) is the velocity. Let’s denote the weight of each person as \( W \) (which is equal for both). The mass \( m \) can be expressed as \( m = \frac{W}{g} \), where \( g \) is the acceleration due to gravity. However, since we are comparing two persons of equal weight, we can ignore \( m \) and simply focus on the change in kinetic energy. ...
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