IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng eksaktong sagot. Alamin ang mga detalyadong sagot mula sa mga bihasang miyembro ng aming komunidad na sumasaklaw sa iba't ibang paksa para sa lahat ng iyong pangangailangan.

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]

#CarryOnLearning