Answer:
4 m/s
Explanation:
From the law of conservation of momentum,
Total momentum before collision = Total momentum after collision
mu+m'u' = V(m+m')...................... Equation 1
Where m = mass of the arrow, u = initial velocity of the arrow, m' = mass of the apple, u' = initial velocity of the apple, V = Final velocity of the apple and the arrow after collision.
make V the subject of the equation
V = (mu+m'u')/(m+m').................... Equation 2
Given: m = 0.5 kg, m' = 2 kg, u = 20 m/s, u' = 0 m/s(initially at rest)
Substitute into equation 2
V = (0.5×20+2×0)/(2+0.5)
V = 10/2.5
V = 4 m/s.
Hence the final velocity of the apple and the arrow after the collision = 4 m/s
What are you trying to here?
Answer:
21.18 L
Explanation:
From the question given above, the following data were obtained:
Initial pressure (P₁) = 1 atm
Initial volume (V₁) = 18 L
Final pressure (P₂) = 0.85 atm
Final Volume (V₂) =?
With the application of the Boyle's law equation, we can obtain the final volume (i.e the new volume) of the gas as follow:
P₁V₁ = P₂V₂
1 × 18 = 0.85 × V₂
18 = 0.85 × V₂
Divide both side by 0.85
V₂ = 18 / 0.85
V₂ = 21.18 L
Therefore, the new volume of the gas will be 21.18 L
