A weightless rubber balloon is filled with 200 cc of water. Its weight in water is equal to:
A
(9.8/5) N
B
(9.8/10) N
C
(9.8/2) N
D
zero
Correct Answer: Option D
Explanation
1. The question asks for the weight of a weightless rubber balloon filled with 200 cc of water when measured *in water*.
2. Weight in water (apparent weight) is equal to the true weight minus the buoyant force.
3. True weight: The balloon itself is weightless. The weight of 200 cc (0.0002 m³) of water is mass * g = (volume * density) * g = (0.0002 m³ * 1000 kg/m³) * g = 0.2 * g Newtons.
4. Buoyant force: According to Archimedes' principle, the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
5. The volume of the balloon is 200 cc (since it's filled with 200 cc water). When submerged in water, it displaces 200 cc of water.
6. The weight of the displaced water is (volume * density) * g = (0.0002 m³ * 1000 kg/m³) * g = 0.2 * g Newtons.
7. Weight in water = True weight - Buoyant force = (0.2 * g) - (0.2 * g) = 0 Newtons.
8. Therefore, its weight in water is equal to zero.