How Do You Calculate the Mass of a Chair from Force and Acceleration?

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SUMMARY

The mass of the chair can be calculated using Newton's second law and the forces acting on it. Given a force of 91 N applied at an angle of 15 degrees above the horizontal and a normal force of 221 N, the mass is determined to be 25 kg. The relationship between weight and mass is crucial, as weight is the product of mass and gravitational acceleration. A free body diagram is essential for visualizing the forces acting on the chair.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Knowledge of free body diagrams
  • Familiarity with vector components of forces
  • Basic concepts of mass and weight
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  • Study the application of Newton's second law in various scenarios
  • Learn how to resolve forces into their vertical and horizontal components
  • Explore the concept of free body diagrams in physics
  • Investigate the relationship between mass, weight, and gravitational force
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Physics students, educators, and anyone interested in understanding the principles of force and motion in practical applications.

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a hotel guest starts to pull an armchair across a horizontal floor by exerting a force of 91 N (15 DEGREES ABOVE HORIZONTAL). The normal force exerted by the floor on the chair is 221 N. The acceleration is 0.076 meter/second^2(fwd). determine the mass of the chair.

the answer is 25 kg but i don't noe how to do it. What do u do when u hve an FN and an FAPP. pllzzz help
 
Physics news on Phys.org
Start by drawing a free body diagram
- what are the forces on the chair?
- how is the weight of the chair related to it's mass?
- what is the sum of the vertical forces on the chair?
 

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