A) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the unit vectors i and j.<\/p>\n
B) How far, in meters, will the vehicles slide after the collision?<\/p>\n
Answer:-\u00a0<\/strong><\/p>\n v = (m_c * v_c + m_t * v_t)\/(m_c + m_t)<\/p>\n where<\/p>\n Plugging in the values from the problem statement, we get:<\/p>\n v = (1225 kg * 9.5 m\/s + 1654 kg * 8.6 m\/s)\/(1225 kg + 1654 kg)<\/p>\n v = 12.1 m\/s<\/p>\n The direction of the velocity can be found using the following equation:<\/p>\n tan(theta) = (v_t)\/(v_c)<\/p>\n where<\/p>\n Plugging in the values from the problem statement, we get:<\/p>\n tan(theta) = (8.6 m\/s)\/(9.5 m\/s)<\/p>\n theta = 37.0 degrees<\/p>\n Therefore, the velocity of the system after the collision is 12.1 m\/s at an angle of 37.0 degrees west of north.<\/p>\n d = (v^2)\/(2 * \u03bc * g)<\/p>\n where<\/p>\n Plugging in the values from the problem statement, we get:<\/p>\n d = (12.1 m\/s)^2 \/ (2 * 0.5 * 9.8 m\/s^2)<\/p>\n d = 7.5 meters<\/p>\n Therefore, the vehicles will slide 7.5 meters after the collision.<\/p>\n","protected":false},"excerpt":{"rendered":" A) Write an expression for the velocity of the system after the collision, in terms of the variables given in the problem statement and the […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"yoast_head":"\n\n
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