For a birthday gift, you and some friends take a hot air balloon ride. One friend is late, so the balloon floats a couple of feet off the ground as you wait. Before this person arrives the combined weight of the basket and people is 1190 kg, and the balloon is neutrally buoyant. When the late arrival climbs up into the basket, the balloon begins to accelerate downward at 0.47 m/s2. What was the mass of the last person to climb aboard? kg This is for 10 bonus points adding to my last test and I am having trouble getting started. Any advice?
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Prior to Friends arrival: Sum of forces = force of ballon lift + force of weight of passengers and basket = 0 Afterward Sum of forces = force of ballon lift + force of weight of passengers and basket + force of friend = m_all*a 0 + force of friend = m_all*a force of friend = m_friend * gravity = m_all*a m_all = 1190 + m_friend gravity = -9.81 m/s^2 a = -0.47 m /s^2 -9.81*m_friend = -0.47*(1190 + m_friend) 9.81*m_friend - 0.47 * m_friend = 559.3 m_friend = 559.3/9.34 = 59.9 kg
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