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Apparent weight What is weight Because the weight force is defined as Fg mg, Fg changes when g varies On or near the surface of Earth, g is approximately constant, so an object s Fnet weight does not change appreciably as it moves around near Earth s surface If a bathroom scale provides the only upward force on you, then it reads your weight What would it read if you stood with one foot on the scale and one foot on the floor Fg What if a friend pushed down on your shoulders or up on your elbows Then there would be other contact forces on you, and the scale would not read your weight What happens if you stand on a scale in an elevator As long as the elevator is in equilibrium, the scale will read your weight What would the scale read if the elevator accelerates upward Figure 4-9 shows the pictorial and physical models for this situation You are the system, and upward is the positive direction Because the acceleration of the system is upward, the upward force of the scale must be greater than the downward force of your weight Therefore, the scale reading is greater than your weight If you ride in an elevator like this, you would feel heavier because the floor would press harder on your feet On the other hand, if the acceleration is downward, then you would feel lighter, and the scale would have a lower reading The force exerted by the scale is called the apparent weight An object s apparent weight is the force an object experiences as a result of all the forces acting on it, giving the object an acceleration Imagine that the cable holding the elevator breaks What would the scale read then The scale and you would both accelerate with a g According to this formula, the scale would read zero and your apparent weight would be zero That is, you would be weightless However, weightlessness does not mean that an object s weight is actually zero; rather, it means that there are no contact forces pushing up on the object, and the object s apparent weight is zero.

When solving force and motion problems, use the following strategies 1 Read the problem carefully, and sketch a pictorial model 2 Circle the system and choose a coordinate system 3 Determine which quantities are known and which are unknown 4 Create a physical model by drawing a motion diagram showing the direction of the acceleration, and create a free-body diagram showing the net force 5 Use Newton s laws to link acceleration and net force 6 Rearrange the equation to solve for the unknown quantity 7 Substitute known quantities with their units into the equation and solve 8 Check your results to see if they are reasonable

Real and Apparent Weight Your mass is 750 kg, and you are standing on a bathroom scale in an elevator Starting from rest, the elevator accelerates upward at 200 m/s2 for 200 s and then continues at a constant speed Is the scale reading during acceleration greater than, equal to, or less than the scale reading when the elevator is at rest

FIGURE 1-24

Sketch the situation Choose a coordinate system with the positive direction as upward Draw the motion diagram Label v and a Draw the free-body diagram The net force is in the same direction as the acceleration, so the upward force is greater than the downward force Known: