(Part a) What is the speed 7,1 of astronaut 1 after throwing the ball? Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m₂, u, and v_1 for v₁. V/₁1 (m+m₁). (v₁) + (m.u) mi ((m+m_1)*(v_1)+(m*u))/m_1 U (Part b) What is the required speed u of the ball (relative to astronaut 1) such that the final speed of both astronauts are equal Uf₁1 = Uf,2? Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m₂, v_1 for v₁ and v_2 for v₂. || X
(Part a) What is the speed 7,1 of astronaut 1 after throwing the ball? Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m₂, u, and v_1 for v₁. V/₁1 (m+m₁). (v₁) + (m.u) mi ((m+m_1)*(v_1)+(m*u))/m_1 U (Part b) What is the required speed u of the ball (relative to astronaut 1) such that the final speed of both astronauts are equal Uf₁1 = Uf,2? Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m₂, v_1 for v₁ and v_2 for v₂. || X
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Transcribed Image Text:Two astronauts are playing catch in a zero gravitational field. Astronaut 1 of mass m₁ is initially moving to the right with speed
v₁. Astronaut 2 of mass m₂ is initially moving to the right with speed v2 > ₁. Astronaut 1 throws a ball of mass m with
speed u relative to herself in a direction opposite to her motion. Astronaut 2 catches the ball. The final speed of astronaut 1
is vf, and the final speed of astronaut 2 is vf,2.
((m+m_1)*(v_1)+(m*u))/m_1
171.
Vf₂1 =
(m I m.) (21) + (m. 2)
m,
m.
m
mo
Before
m
During
After
m₁
(Part a) What is the speed vf, of astronaut 1 after throwing the ball?
Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m₂, u, and v_1 for v₁.
m₁
X
Calculator
▸

Transcribed Image Text:Uf,1
((m+m_1)*(v_1)+(m*u))/m_1
(m+m₁)· (v₁) + (mu)
m1
U =
L L
m,
V
Before
2
(Part a) What is the speed vf,1 of astronaut 1 after throwing the ball?
Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m₂, u, and v_1 for v₁.
m
During
After
(Part b) What is the required speed u of the ball (relative to astronaut 1) such that the final speed of both astronauts are equal
Uf₁1 = Uf₁2?
Express you answer in terms of some or all of the following: m, m_1 for m₁, m_2 for m², v_1 for v₁ and v_2 for v₂.
X
X
Calculator
▸
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