Answer :
The second glider will stop after it travels the distance of 8 times the distance of the first glider.
Let subscript 1 and 2 represent parameters related to glider 1 and glider 2.
According to the Newton's law:
F = m . a
Where:
F = force
m = mass
a = acceleration
Since both gliders received the same forces,
F₁ = F₂
m₁ . a₁ = m₂ . a₂
m₁ . a₁ = 1/2m₁ . a₂
a₂ = 2a₁
Hence, the acceleration of the 2nd glider is twice of that of the 1st glider.
Velocity formula for decelerated move
v² = u² - 2.a.s
Where:
v = final velocity
u = initial velocity
s = distance.
Since the gliders stop, v = 0
Hence,
u₁² = 2.a₁.s₁
u₂² = 2.a₂ . s₂
Substitute u₂ = 4u₁, a₂ = 2a₁
(4u₁)² = 2.(2a₁) . s₂
16 u₁² = 4 a₁ . s₂
16. (2.a₁.s₁) = 4 a₁ . s₂
s₂ = 8 s₁
Hence, the distance of glider 2 is 8 times the distance of glider 1
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