Final answer:
Using Newton's second law of motion, the acceleration of a dancer with 80 kg mass who is lifted with a force of 200N is found to be 2.5 m/s².
Step-by-step explanation:
When a dancer with a mass of 80 kg is lifted with a force of 200N, her acceleration can be calculated using Newton's second law of motion, which states that force equals mass times acceleration (F = ma). To find her acceleration (a), you divide the force (F) by the mass (m).
Acceleration (a) = Force (F) / Mass (m) = 200N / 80kg = 2.5 m/s².
Thus, the correct answer to the problem is (a) 2.5 m/s².