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e secure https://session.masteringphysics.com/myct/itemview?assignmentProblemiD-86904070 hwog Practice Problem 8.1 «previous l 30f 15 | next Practice Problem 8.1 The total mamentum P is a vecior quanshy with these components, lts magnitude is Let's begin by calculating the total momentum of two moving objects. Suppose a small compact car with a mass of 1000 kg is traveling north on Morewood Avenue -v12.0 × 104 kg, m/s)2 + (1.5 × 104 kg·m/s)2 = 2.5 x 104 kg. m/s P at a speed of 15 m/s. At the intersection of Morewood and Fifth Avenues, it collides with a truck with a mass of 2000 kg that is traveling east on Fifth Avenue at 10 m/s Its direction is given by the angle 8 in (Eigure 2), where Treating each vehicle as a particie, find the tota momentum (magnitude and direction) just before the collision Py 1.5 x 101 kg m/s 3 2.0×104 kg . mays tan REFLECT It is essential to treat momentum as a vector When we add the momenta of the two objects, we must do vector addition u method of components. Each vehicle has momentum in only one coordinate direction and so has only one nonzero component of momenturn, but the total momentum of the system has both r and y components Figure of 2 Part A Practice Problem If the car is moving at 14 m/s, how fast must the truck move for the total momentum vector to make a 60 angle with the +z axis (and 30 with the +y axis)? y (north) Express the velocity to two significant figures and include the appropriate units ->Explanation / Answer
8.1 Total Momentum = 2000* 10 i + 1000*15 j
Magnitude = 25000
Direction = 36.86 North of East
A. tan 60 = (1000*14)/ (2000* v)
=> V = 4.0414m/s
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