A 2.0 kg object moving along the x-axis experiences the force shown in the figure. The object's velocity is 4.0 m/s at x = 0 m. a) What is the object's velocity at x = 2 m? b) What is the object's velocity at x = 4 m? (5) A mass of 0.500 kg starts from rest. A force acts on the mass that varies with distance according to F=4x-5. F, (N) 10 0 -10 3 -x (m)

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F, (N)
10
IN
4. A 2.0 kg object moving along the x-axis experiences the force
shown in the figure. The object's velocity is 4.0 m/s at x = 0 m.
a) What is the object's velocity at x = 2 m?
What is the object's velocity at x = 4 m?
0
-x (m)
b)
1 2 3
-10
5. A mass of 0.500 kg starts from rest. A force acts on the mass
that varies with distance according to F= 4x-5.
a)
Plot the graph and determine the area (integrate) to find how much work this force does
from x = 0.00 m to xy= 2.00 m.
b) Use the work-kinetic energy theorem to find the mass's final velocity.
6. Starting from rest, a 1000 kg elevator accelerates upward over a distance of 10 m. The
tension in the elevator cable is a constant 1.16 x 104 N.
a) How much work does gravity do on the elevator?
b) How much work does the cable tension do on the elevator?
c) What is the final speed of the elevator after it has traveled 10 m?
Transcribed Image Text:F, (N) 10 IN 4. A 2.0 kg object moving along the x-axis experiences the force shown in the figure. The object's velocity is 4.0 m/s at x = 0 m. a) What is the object's velocity at x = 2 m? What is the object's velocity at x = 4 m? 0 -x (m) b) 1 2 3 -10 5. A mass of 0.500 kg starts from rest. A force acts on the mass that varies with distance according to F= 4x-5. a) Plot the graph and determine the area (integrate) to find how much work this force does from x = 0.00 m to xy= 2.00 m. b) Use the work-kinetic energy theorem to find the mass's final velocity. 6. Starting from rest, a 1000 kg elevator accelerates upward over a distance of 10 m. The tension in the elevator cable is a constant 1.16 x 104 N. a) How much work does gravity do on the elevator? b) How much work does the cable tension do on the elevator? c) What is the final speed of the elevator after it has traveled 10 m?
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