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How much force (in N) is needed to accelerate a 66-kg skier at 2 m/s² to the left?

Calculate the force on the skier using the formula:

\[ F = m \times a \]

Where:
- \( F \) is the force in newtons (N)
- \( m = 66 \, \text{kg} \) (mass of the skier)
- \( a = 2 \, \text{m/s}^2 \) (acceleration)

Answer :

Final answer:

The force needed to accelerate the skier is -132 N.


Explanation:

The force needed to accelerate a skier can be calculated using Newton's second law, which states that force (F) equals mass (m) times acceleration (a). In this case, the mass of the skier is given as 66 kg and the acceleration is 2 m/s² to the left. To calculate the force, we can use the equation:



F = m * a



Substituting the values given:




  1. m = 66 kg

  2. a = -2 m/s² (negative because it is to the left)



Plugging these values into the equation:



F = 66 kg * -2 m/s²



F = -132 N



Therefore, a force of -132 N is needed to accelerate the skier at a rate of 2 m/s² to the left.


Learn more about Force needed to accelerate an object in physics here:

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