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In 1987, Marisa Canofoglia, of Italy, roller-skated at a record-setting speed of 40.3 km/h. If the magnitude of Canofoglia’s momentum was 660 kg∙m/s, what was her mass?

Sagot :

Lanuel

Answer:

Mass = 58.98 kg

Explanation:

Given the following data;

Velocity = 40.3 km/h to meters per seconds (m/s) = 40.3*1000/3600 = 11.19 m/s

Momentum = 660kgm/s

To find the mass;

Momentum can be defined as the multiplication (product) of the mass possessed by an object and its velocity. Momentum is considered to be a vector quantity because it has both magnitude and direction.

Mathematically, momentum is given by the formula;

[tex] Momentum = mass * velocity [/tex]

Substituting into the equation, we have

660 = mass * 11.19

Mass = 660/11.19

Mass = 58.98 kg

The mass will be "58.98 kg".

According to the question,

  • Velocity = 40.4 km/h or 11.19 m/s
  • Momentum = 660 kg.m/s

We know,

→ [tex]Momentum = Mass\times Velocity[/tex]

or,

→ [tex]Mass = \frac{Momentum}{Velocity}[/tex]

By substituting the values, we get

             [tex]= \frac{660}{11.19}[/tex]

             [tex]= 58.98 \ kg[/tex]

Thus the above answer is right.

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