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20 Nov 2019

Figure 7-39 gives the acceleration of a 1.90 kg particle as it ismoved from rest along anx axis by an applied forceF_a,from x = 0 to x =9 m.
How much work has the force done on the particle when theparticlereaches the following points?
(a) x = 4 m
1 J

(b) x = 7 m
2 J

(c) x = 9 m
3 J

What is the particle's speed and direction of travel when itreacheseach of the following points?
(d) x = 4 m
4 m/s --Direction--+x-x

(e) x = 7 m
6 m/s --Direction--+x-x

(f) x = 9 m
8 m/s --Direction--+x-x

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A single mass m₁ = 4.5 kg hangs from a spring in a motionless elevator. The spring is extended x = 15 cm from its unstretched length.

1)What is the spring constant of the spring?

Now, three masses m₁ = 4.5 kg, m₂ = 13.5 kg and m₃ = 9 kg hang from three identical springs in a motionless elevator. The springs all have the same spring constant that you just calculated above.

2)What is the force the top spring exerts on the top mass?

3)What is the distance the lower spring is stretched from its equilibrium length?

4)Now the elevator is moving downward with a velocity of v = -2 m/s but accelerating upward with an acceleration of a = 3.8 m/s². (Note: an upward acceleration when the elevator is moving down means the elevator is slowing down.)

What is the force the bottom spring exerts on the bottom mass?

5) What is the distance the upper spring is extended from its unstretched length?

6) Finally, the elevator is moving downward with a velocity of v = -2.5 m/s and also accelerating downward at an acceleration of a = -2.2 m/s².

The elevator is:

speeding up

slowing down

moving at a constant speed

7) Rank the distances the springs are extended from their unstretched lengths:

x₁ = x₂ = x₃

x₁ > x₂ > x₃

x₁ < x₂ < x₃

8) What is the distance the middle spring is extended from its unstretched length?

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