Answered

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A dancer lifts his partner above his head with an acceleration of 2.5 m/s^(2 ). The dancer exerts a force of 200 N. What is the mass of the partner?

Sagot :

Tokamakidn

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

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 m

F = ma

[tex]\dfrac{F}{a} = \dfrac{ma}{a}[/tex]

[tex]m = \dfrac{F}{a}[/tex]

[tex]m = \dfrac{\text{200 N}}{\text{2.5 m/}\text{s}^{2}}[/tex]

[tex]\boxed{m = \text{80 kg}}[/tex]

Therefore, the mass of the partner is 80 kg.

[tex]\\[/tex]

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