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home / study / science / physics / questions and answers / bob and tom take a 16.1 ib sled to a frozen pond. ... Your question has been answered Let us know if you got a helpful answer. Rate this answer Question: Bob and Tom take a 16.1 Ib sled to a frozen pond. ... Bookmark Bob and Tom take a 16.1 Ib sled to a frozen pond. The sled initially at rest on the ice. Bob who weighs 96.6 Ib runs at 4 ft/s and jumps on the sled. A few seconds later tom who weighs 112.7 Ib runs at 6 ft/s and jumps on the sled with bob. What is the velocity after Bob jumps on?

please show the equation used and step by step solutions.

Explanation / Answer

here,

mass of bob, mb = 96.6 lb
velocity of bob, vb = 4 ft/s

mass of sled, m = 16.1 lb

mass of tom, mt = 112.7 lbs
velocity of tom, vt = 6 ft/s

From conservation of momentum we have :
before jumping = after jumping

mb*vb + m*0 = (mb + mt + m) * V

96.6 * 4 + 0 = (96.6 + 16.1) * V

Final velocity after bob jumped, V = 3.428 ft/s

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