A steel block has a volume of 0.08m3 and a density of 7,840kg/m3 what is the force of gravity acting on the block(the weight in water?
Ws = 0.08m^3 * 7840kg/m^3 * 9.8=6147 N.
= Wt. of the steel in air.
Ww=0.08m^3 * 1000kg/m^3 * 9.8 = 784 N. =
Wt. of the water displaced.
Ws in water = 6147 - 784 = 5363 N.
To find the weight of the steel block in water, we need to consider the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the block.
1. Calculate the weight of the block in air:
Weight = mass x acceleration due to gravity
The mass of the block can be calculated using its volume and density:
Mass = volume x density
Mass = 0.08m^3 x 7840kg/m^3
2. Calculate the buoyant force:
The buoyant force is equal to the weight of the water displaced by the block. Since the block is completely submerged in water, the volume of water displaced is equal to the volume of the block.
Buoyant force = weight of water displaced
Buoyant force = Volume of water displaced x density of water x acceleration due to gravity
Buoyant force = 0.08m^3 x 1000kg/m^3 x 9.8m/s^2 (assuming the density of water is 1000kg/m^3)
3. Calculate the weight of the block in water:
Weight in water = weight in air - buoyant force
4. Calculate the force of gravity acting on the block (its weight):
Force of gravity = weight in air - weight in water
By performing these calculations, you will find the force of gravity acting on the steel block in water.
To find the force of gravity acting on the steel block, we need to calculate its weight.
The weight of an object can be calculated using the formula:
Weight = Mass × Acceleration due to gravity
The mass of the steel block can be found using the formula:
Mass = Density × Volume
Given:
Density of the steel block = 7,840 kg/m³
Volume of the steel block = 0.08 m³
Let's start by calculating the mass of the steel block:
Mass = Density × Volume
Mass = 7,840 kg/m³ × 0.08 m³
Mass = 627.2 kg
Next, we can calculate the force of gravity acting on the block (weight) using the formula:
Weight = Mass × Acceleration due to gravity
Acceleration due to gravity is approximately 9.8 m/s².
Weight = 627.2 kg × 9.8 m/s²
Weight = 6,139.36 N (Newtons)
Therefore, the force of gravity acting on the steel block is approximately 6,139.36 N.