The power can be calculated using the formula:[ \text{Power} = \text{Force} \times \text{Velocity} ]For both X and Y, the force they work against is the frictional force.For X:Force = Frictional force = 10 NVelocity = Speed = 8 m/sFor Y:Force = Frictional force = 20 NVelocity = Speed = 3 m/sNow, let's calculate the power for each:For X: [ \text{Power}_X = 10 , \text{N} \times 8 , \text{m/s} = 80 , \text{W} ]For Y: [ \text{Power}_Y = 20 , \text{N} \times 3 , \text{m/s} = 60 , \text{W} ]Now, let's find the ratio of the power of X to Y: [ \text{Ratio} = \frac{\text{Power}_X}{\text{Power}_Y} = \frac{80 , \text{W}}{60 , \text{W}} = \frac{4}{3} ]So, the ratio of the power of X to Y is ( \frac{4}{3} ).
