Respuesta :
Answer:
The force generated in 1 second of impact is, F = 201161.37 N
The ship slightly slows down and moves forward with velocity V = 9.9 x 10¹⁰ kg miles/hr
Explanation:
Given data,
The mass of the ship, M = 100 ton
= 100,000 kg
The velocity of the ship, V = 1,000,000 miles/hr
The mass of the iron piece, m = 1 lb
= 0.45 kg
The velocity of the iron piece, v = 0
The momentum of the ship,
P = MV
= 100,000 kg x 1,000,000 miles/ hr
= 1 x 10¹¹ kg miles/ hr
The momentum of the iron piece, p = 0
According to the conservation of momentum,
MV + mv = U(M + m)
[tex]U=\frac{MV+mv}{M+m}[/tex]
[tex]U=\frac{1\times 10^{11} +0}{100000+0.45}[/tex]
U = 999,995.5 miles/hr
Therefore the momentum of the ship after impact,
P₁ = MU
= 100,000 kg x 999,995.5 miles/hr
= 9.9 x 10¹⁰ kg miles/hr
Therefore, the change in the momentum of the ship,
ΔP = P - P₁
= 1 x 10¹¹ - 9.9 x 10¹⁰
= 449997.98 kg miles/hr
= 201161.37 kg m/s
Let the time period of impact be 1 s
Therefore, the force exerted by the ship on the iron is,
F = ΔP / t
= 201161.37 / 1
= 201161.37 N
Hence, the force generated in 1 second of impact is, F = 201161.37 N
The ship slightly slows down and moves forward with velocity V = 9.9 x 10¹⁰ kg miles/hr
