an 80 kg man is on a ladder hanging from a balloon that has a total mass of 320 kg (including the basket passenger). The balloon is initially stationary relative to the ground. If the man on the ladder begins to climb at 2.5 m/s relative to the ladder, (a) in what direction and (b) at what speed does the balloon move? (c) If the man then stops

Two carts, A and B, roll on inclined planes with negligible friction. Cart A has a mass of 1.3 kg and it is on a plane inclined at an angle of ? θ ? θ = 63 degrees. Cart B has a mass of 2.5 kg and it is on a plane inclined at an angle of ? ϕ ? ϕ = 14 degrees. The carts are connected by a (nearly) massless string that runs over a (nearly) massless and frictionless pulley. Find the tension (in newtons) in the string.

Do Two skydivers are holding on to each other while falling straight down at a common terminal speed of 61.90 m/s. Suddenly, they push away from each other. Immediately after separation, the first skydiver, who has a mass m₁ of 94.80 kg, has a velocity U₁ with the following components ("straight down" corresponds to the positive z-axis). U1, y = 4.750 m/s U1,2 = 61.90 m/s What are the x- and y-components of the velocity v₂ of the second skydiver, whose mass m₂ is 57.70 kg, immediately after separation? Assume that there are no horizontal forces of air resistance acting on the skydivers. U2,x U1,x= 5.430 m/s || 6.96 Incorrect What in the chanos in binstis sur 'the sustan AV m/s 2 U2,y 6.088 Ø Attempt 2 Incorrect m/s

Two skaters, a man and a woman, are standing on ice. Neglect any friction between the skate blades and the ice. The mass of the man is 89 kg, and the mass of the woman is 52 kg. The woman pushes on the man with a force of 56 N due east. Determine the acceleration (magnitude and direction) of (a) the man and (b) the woman.

A 49.2-kg skater is standing at rest in front of a wall. By pushing against the wall she propels herself backward with a velocity of -2.08 m/s. Her hands are in contact with the wall for 0.756 s. Ignore friction and wind resistance. Find the average force she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her). Note that this force has direction, which you should indicate with the sign of your answer. Number Type your answer here Units Choose your answer here