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Tom and his little sister are enjoying an afternoon at the ice rink. They playfully place their hands together and push against each other. Tom's mass is 59 kg and his little sister's mass is 15 kg. If the sister's acceleration is 2.3 m/s2 in magnitude, what is the magnitude of Tom's acceleration

Sagot :

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The magnitude of Tom's acceleration is 0.585 m/s².

What is acceleration?

Acceleration is the rate of change of velocity with time.

Force applied by Tom's sister

The force applied by the Tom's sister is calculated by applying Newton's second law of motion as follows;

F = ma

F = 15 x 2.3

F = 34.5 N

Acceleration of Tom

The acceleration of Tom is calculated by applying Newton's third law of motion as follows;

[tex]F_{Tom} = -F_{little \ sister}\\\\F_{Tom} = - 34.5 \ N[/tex]

[tex]a = \frac{F}{m} \\\\a = \frac{-34.5}{59} \\\\a = -0.585 \ m/s^2\\\\|a| = 0.585 \ m/s^2[/tex]

Thus, the magnitude of Tom's acceleration is 0.585 m/s².

Learn more about acceleration here: https://brainly.com/question/22048837

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