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Answer :
Final answer:
The height to which the mass is raised is approximately 10 meters.
Explanation:
To find the height to which a mass is raised when a certain amount of work is done, we can use the formula for gravitational potential energy. Gravitational potential energy (PE) is given by the equation PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height. We can rearrange this equation to solve for h: h = PE / (mg).
In this case, the work done is equal to the gravitational potential energy, so we have 4900 J = 50 kg * g * h. Solving for h, we get h = 4900 J / (50 kg * g). The value of g is approximately 9.8 m/s^2. Plugging in the numbers, we get h ≈ 10 m.
Therefore, the correct answer is a) 10 m.
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