Two constant forces act on an object of mass m = 5.90 kg object moving in the xy plane as shown in the figure below. Force F, is 29.0 N at 35.0°, and force F, is 42.5 N at 150°. At time t = 0, the object is at the origin and has velocity (4.40î + 2.35j) m/s 150° 35.0 (a) Express the two forces in unit-vector notation. F, = F, = N (b) Find the total force exerted on the object. (c) Find the object's acceleration. m/s2 Now, consider the instant t = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. m (f) Find its kinetic energy from Vamv,2. kJ (9) Find its kinetic energy from V2mv,2 + F. AF. (h) What conclusion can you draw by comparing the answers to parts (f) and (g)?

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Chapter1: Units, Trigonometry. And Vectors
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Two constant forces act on an object of mass m = 5.90 kg object moving in the xy plane as shown in the figure below. Force F, is 29.0 N at 35.0°, and force F, is 42.5 N at 150°. At time t = 0, the object is at the origin and has velocity (4.40î + 2.35j) m/s.
150°
35.0°
(a) Express the two forces in unit-vector notation.
F.
F.
N
(b) Find the total force exerted on the object.
N
(c) Find the object's acceleration.
m/s2
Now, consider the instantt = 3.00 s.
(d) Find the object's velocity.
m/s
(e) Find its position.
m
(f) Find its kinetic energy from 2mv?.
kJ
(g) Find its kinetic energy from V2mv,2 + EF · AF.
kJ
(h) What conclusion can you draw by comparing the answers to parts (f) and (g)?
Transcribed Image Text:Two constant forces act on an object of mass m = 5.90 kg object moving in the xy plane as shown in the figure below. Force F, is 29.0 N at 35.0°, and force F, is 42.5 N at 150°. At time t = 0, the object is at the origin and has velocity (4.40î + 2.35j) m/s. 150° 35.0° (a) Express the two forces in unit-vector notation. F. F. N (b) Find the total force exerted on the object. N (c) Find the object's acceleration. m/s2 Now, consider the instantt = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. m (f) Find its kinetic energy from 2mv?. kJ (g) Find its kinetic energy from V2mv,2 + EF · AF. kJ (h) What conclusion can you draw by comparing the answers to parts (f) and (g)?
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