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A boat accelerates at 1.5 m/s2 whilst pulling a water skier with a mass of 68 kg. What is the resultant force on the water skier whilst the boat is accelerating

Sagot :

Jacob193idn

Answer:

[tex]102\; {\rm N}[/tex].

Explanation:

When an object of fixed mass [tex]m[/tex] accelerates at a rate of [tex]a[/tex], the resultant force (the net force) on the object would be the product of mass and acceleration:

[tex](\text{resultant force}) = (\text{mass})\, (\text{acceleration})[/tex].

The question implies that the water skier is accelerating at the same rate as the boat: [tex]1.5\; {\rm m\cdot s^{-2}}[/tex]. Hence, the resultant force on the [tex]68\; {\rm kg}[/tex] water skier would be:

[tex]\begin{aligned}(\text{resultant force}) &= (\text{mass})\, (\text{acceleration})\\ &= (68\; {\rm kg})\, (1.5\; {\rm m\cdot s^{-2}}) \\ &= 102\; {\rm N}\end{aligned}[/tex].

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