An acrobat of mass mA jumps upwards off a trampoline with an initial speed v0. At a height h0, the acrobat grabs a clown of mass mB. Assume that the time the acrobat takes to grab the clown is negligibly small. What is the maximum height hf reached by the acrobat and clown

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Physics

Big Bird

3 July, 14:38

An acrobat of mass mA jumps upwards off a trampoline with an initial speed v0. At a height h0, the acrobat grabs a clown of mass mB. Assume that the time the acrobat takes to grab the clown is negligibly small. What is the maximum height hf reached by the acrobat and clown

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Tyrone Meadows · Answer 1

Initial speed u = v₀

Final speed v at height h₀

v² = u² - 2gh₀

v = / sqrt (v_0^2 - 2gh_0) }

Applying conservation of momentum at height h₀

Velocity of combined mass upwards V = m_A v / m_A+m_B

if H is the maximum height attained

H = V² / 2g = m_A^2 (V_0^2-2gh_0) / 2g (m_A+m_B) ^2