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Cleotilde14151
25.12.2020 •
Physics
a golf ball has a mass 0.046 kkg rests on a tee it is struck by a golf club with an effectiv mass of 0.22 and speed of 44 assuming the collision is elastic, find the speed of the ball when it leaves the tee
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Ответ:
210 m/s
Explanation:
We will use this equation for an elastic collision:
m₁v₁ + m₂v₂ = m₁v₁ + m₂v₂ The left side of the equation is before the collision; the right side is after the collision.In this case, m₁ = mass of golf ball (0.046 kg) and m₂ = mass of the golf club (0.22 kg).
Left side of equation:v₁ is 0 m/s since the ball is at rest on the tee.
v₂ is 44 m/s, given in the problem.
Right side of equation:v₁ is what we are trying to find.
v₂ is 0 m/s since the ball will be at rest on the ground.
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯Plug these values into the elastic collision equation:
(0.046 kg)(0 m/s) + (0.22 kg)(44 m/s) = (0.046 kg)(v₁) + (0.22 kg)(0 m/s)Simplify this equation.
(0.22 kg)(44 m/s) = (0.046 kg)(v₁)Get rid of the units.
(0.22)(44) = 0.046v₁Multiply the left side of the equation.
9.68 = 0.046v₁Divide both sides by 0.046.
210.434782609 = v₁ 210 m/s = v₁The speed of the ball when it leaves the tee is about 210 m/s.
Ответ: