An athlete can press horizontally with a maximum force of

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

An athlete can press horizontally with a maximum force of 350 N350\,\text{N}. She tries to open a stuck door by pushing perpendicular to its plane at the usual handle, which is 0.80 m0.80\,\text{m} from the hinge line. (i) Calculate the greatest turning moment she can produce about the hinges at this position. (ii) The door requires a minimum turning moment of 420 N m420\,\text{N\,m} to start moving. Determine how far from the hinge line she must push (still perpendicular to the door) to achieve this requirement with her maximum force. (iii) Comment on whether an ordinary door of width 0.90 m0.90\,\text{m} would allow her to apply the needed turning moment without the use of an auxiliary tool such as a lever extension.

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