Which would take more force to stop in 10 seconds: an 8.0-kilogram ball rolling in a straight line at a speed of 0.2 m/sec or a 4.0-kilogram ball rolling along the same path at a speed of 1.0 m/sec?

Respuesta :

i use the impulse momentum formula.
the 4.0 kilogram ball requires more force to stop
Ver imagen OKgoogle

The force require to stop the second object is greater because it has bigger momentum when compared to the first object.

The given parameters;

  • mass of the first object, m₁ = 8 kg
  • speed of the first object, u₁ = 0.2 m/s
  • mass of the second object, m₁ = 4 kg
  • speed of the second object, u₂ = 1 m/s

The force required to stop each object in the given time is determined by applying Newton's second law of motion as shown below;

[tex]F = ma = \frac{mv}{t} \\\\F_1 = \frac{8 \times 0.2}{10} \\\\F_1 = 0.16\ N[/tex]

For the second object;

[tex]F_2 = \frac{4 \times 1}{10} \\\\F_2 = 0.4 \ N[/tex]

Thus, the force require to stop the second object is greater because it has bigger momentum when compared to the first object.

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