For each case in the figure below, the system consists of the masses shown with

Question

For each case in the figure below, the system consists of the masses shown with the indicated velocities.(Figure 1)

Part A

Find the x- and y-components of the net momentum of system (a). Assume that v = 47 m/s .

Express your answers using two significant figures separated by a comma.

Part B

Find the x- and y-components of the net momentum of system (b). Assume that v1 = 3.0 m/s and v2 = 5.0 m/s .

Express your answers using two significant figures separated by a comma.

Part C

Find the x- and y-components of the net momentum of system (c). Assume that v1 = 6.0 m/s and v2 = 14 m/s .

Express your answers using two significant figures separated by a comma.

Part D

Find the x- and y-components of the net momentum of system (d). Assume that v1 = 4.4 m/s and v2 = 4.4 m/s .

Express your answers using two significant figures separated by a comma.

Explanation / Answer

(a)

px = mvx = mvcos(60°) = (8)(47)cos(60°) = 188 kg m/s
py = mvy = mvsin(60°) = (8)(47)sin(60°) = 325.62 kg m/s

(b)

px = (6)(-5) = -30 kg m/s
py = (9)(3) = 21 kg m/s

(c)

px = (8)(14)cos(72°) = 34.6 kg m/s
py = (8)(14)sin(72°) + (6)(-6) = 70.5 kg m/s

(d)

px = (8)(-4.4)sin(35°) + (10)(4.4)sin(35°) = 5.047 kg m/s
py = (8)(-4.4)cos(35°) + (10)(-4.4)cos(35°) = -64.87 kg m/s

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.