A 70-kg ancient statue lies in the bottom of the sea. It’s volume is 3.0 x 10

4
cm
3
How .
much force is needed to lift it? (Use g=10 m/s
2
and the density of water is 1.0 x 10
3
kg/m
3

tang ina nyo

To calculate the force needed to lift the statue, we need to consider the buoyant force acting on it. Buoyant force is equal to the weight of the fluid displaced by the object.

1. First, let's convert the volume of the statue from cm^3 to m^3:
Volume = 3.0 x 10^4 cm^3 = 3.0 x 10^4 cm^3 * (1 m/100 cm)^3 = 3.0 x 10^4 m^3

2. Next, we need to calculate the weight of the statue:
Weight = mass x gravity
Weight = 70 kg x 10 m/s^2 = 700 N

3. Then, let's calculate the volume of water displaced by the statue:
Volume of water = Volume of statue = 3.0 x 10^4 m^3

4. Now, let's calculate the weight of the water displaced by the statue:
Weight of water = Density of water x Volume of water x gravity
Weight of water = 1.0 x 10^3 kg/m^3 x 3.0 x 10^4 m^3 x 10 m/s^2 = 3.0 x 10^8 N

5. Finally, the force needed to lift the statue is equal to the weight of the water displaced:
Force = Weight of water = 3.0 x 10^8 N

Therefore, the force needed to lift the ancient statue is 3.0 x 10^8 N.

To determine the force needed to lift the statue, we can use the concept of buoyancy.

Buoyancy is the upward force exerted on an object immersed in a fluid (in this case, water). It is equal to the weight of the fluid displaced by the object.

Here's how you can calculate the force needed to lift the statue:

1. Convert the volume of the statue from cm3 to m3. Since 1 m = 100 cm, and 1 m3 = 1,000,000 cm3, the volume of the statue is 3.0 x 10^4 cm3 = (3.0 x 10^4) / (1,000,000) = 0.03 m3.

2. Find the weight of the water displaced by the statue. The weight of an object is given by the formula weight = mass x gravity. The mass of the water displaced is equal to the density of water times the volume displaced: mass = density x volume. In this case, the density of water is 1.0 x 10^3 kg/m3, and the volume displaced is 0.03 m3. Therefore, the mass of the water displaced is (1.0 x 10^3 kg/m3) x (0.03 m3) = 30 kg.

3. Calculate the force needed to lift the statue. The force needed to lift the statue is equal to the weight of the water displaced, which we found to be 30 kg. Using the formula weight = mass x gravity, we can calculate the force: force = (30 kg) x (10 m/s2) = 300 N.

Therefore, the force needed to lift the ancient statue is 300 N.