1. A 100 kg box is shot up a 20", frictionless ramp at an initial speed of 9 m/s. A worker is fighting it all the way, but it's still moving when it reaches the top (after traveling d-5 meters along the ramp). The worker is applying a 150 N force parallel to the ramp (and down the ramp; he's walking on a rubber track that runs along this frictionless' ramp, FYI). Use energy methods to find the box's velocity at the top of the ramp. You can use force balance, if you like, to check your work. But I need to see energy methods being used here.
1. A 100 kg box is shot up a 20", frictionless ramp at an initial speed of 9 m/s. A worker is fighting it all the way, but it's still moving when it reaches the top (after traveling d-5 meters along the ramp). The worker is applying a 150 N force parallel to the ramp (and down the ramp; he's walking on a rubber track that runs along this frictionless' ramp, FYI). Use energy methods to find the box's velocity at the top of the ramp. You can use force balance, if you like, to check your work. But I need to see energy methods being used here.
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