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

In summary, the conversation discusses a hotel guest exerting a force of 91 N at a 15-degree angle to pull an armchair across a horizontal floor. The normal force exerted by the floor on the chair is 221 N and the acceleration is 0.076 meter/second^2 (fwd). Using this information, the mass of the chair can be determined to be 25 kg. The conversation also mentions drawing a free body diagram and considering the forces on the chair, as well as the relationship between weight and mass. It is important to consider the sum of the vertical forces on the chair when solving this problem.
  • #1
koolaid123
2
0
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
 
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  • #2
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?
 

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

1. What is the definition of a force with an angle?

A force with an angle is a type of force that is applied at an angle to an object rather than directly on it. It is a combination of both magnitude and direction.

2. How is the magnitude of a force with an angle calculated?

The magnitude of a force with an angle can be calculated using the Pythagorean theorem. This involves squaring the individual components of the force (horizontal and vertical) and then taking the square root of their sum.

3. What is the importance of understanding forces with angles in physics?

Understanding forces with angles is crucial in physics as it allows us to accurately describe the motion of objects. By considering the direction of a force, we can determine the net force acting on an object and predict its resulting motion.

4. How does the angle of a force affect its impact on an object?

The angle of a force can significantly impact its effect on an object. A force applied at a perpendicular angle will have the greatest impact, while a force applied at an angle closer to parallel will have less of an effect. This is due to the component of the force acting in the direction of motion.

5. Can forces with angles cancel each other out?

Yes, forces with angles can cancel each other out if they are equal in magnitude but opposite in direction. This is known as equilibrium, and it occurs when the net force acting on an object is zero, resulting in no change in its motion.

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