CSecure 86904070 bwo9 Practice Problam &.1 Practice Problem 8.1 Let\'s begin by

Question

CSecure 86904070 bwo9 Practice Problam &.1 Practice Problem 8.1 Let's begin by calouleting the tolal momentum of bw raveling north on Morewood Avenue at a speed of 15 m/ -20x10. kg·m/s -1.5 x 10t kg-m/s intersection ef Morewood and Fith Avenues, it colites wiha ruck with a mass of 2000 lg that is treveling east on Avenue at 10 m/s. Treating each wehicle as a particle, find the otal momentum (magnilude and drecfion) juat belore the -25 x 10 kg m/s Its drection is glven by the angle 8in (gure 2.whare Pa 2.0xLO. kg-m; as a wectoe When we add the momenta of the two objeds, we must do vector addtion using the method of components Part A-Practice Problem: y (north) 4.33m X (east) m,- 2000 kg Incorrect: Try Again; 18 attempt s remaining mA- 1000 kg S88 a

Explanation / Answer

given, car ma = 1000 kg
va = 18 j m/s (where i and j are unit vectors in east and north directions respectively)
truck mass, mb = 2000 kg
vb = ?
total momentum
mava + mbvb = 18000j + 2000vb
now from the figure vb is along +i axis
and given
tan(60) = 18000/2000vb
hence vb = 5.1961i m/s
hecne ths truck must be moving at 5.1961 m/s to make the total momentum make an angle 60 degree witx + x axis

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