A swimmer has a mass of 75 kg and speeds up from 1.1 m/s2 to 3.2 m/s2 during the last 13.0 seconds of the race. What is the acceleration of a swimmer? Find also the force applied. With solution

Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The acceleration of an object is given by

[tex]\boxed{a = \frac{v_{f} - v_{i}}{t}}[/tex]

where:

a = acceleration

vf = final velocity

vi = initial velocity

t = time

The force acting on an object is given by

[tex]\boxed{F = ma}[/tex]

where:

F = force

m = mass

a = acceleration

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for a

[tex]a = \dfrac{v_{f} - v_{i}}{t}[/tex]

[tex]a = \dfrac{\text{3.2 m/s} - \text{1.1 m/s}}{\text{13.0 s}}[/tex]

a = 0.16154 m/s²

[tex]\boxed{a = \text{0.162 m/}\text{s}^{2}}[/tex]

Solving for F

F = ma

F = (75 kg)(0.16154 m/s²)

[tex]\boxed{F = \text{12.12 N}}[/tex]

[tex]\\[/tex]

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