Find Volume of Metal Object: 860-785 N, 9.8 m/s^2

  • Thread starter srhly
  • Start date
  • Tags
    Stuck
In summary, to calculate the volume of a metal object, you will need to know the mass of the object, its density, the force applied, and the acceleration. The mass can be calculated by dividing the force by the acceleration. To determine the density, divide the mass by the volume. The volume can change depending on the force applied, but the density will remain the same. The acceleration indirectly affects the volume by changing the force applied and therefore the mass.
  • #1
srhly
17
0
A metal object is suspended from a spring scale. The scale reads 860 N when the object is suspended in air, and 785 N when the object is completely submerged in water.
The acceleration due to gravity is 9.8 m/s^2.
Find the volume of the object. Answer in m^3.
 
Physics news on Phys.org
  • #2
What does Archimedes principle tell you?
 
  • #3


To find the volume of the metal object, we can use the principle of buoyancy. The difference in the scale readings (860 N - 785 N = 75 N) represents the buoyant force acting on the object when it is submerged in water. This buoyant force is equal to the weight of the water displaced by the object.

We can use the formula Fb = ρVg, where Fb is the buoyant force, ρ is the density of water (1000 kg/m^3), V is the volume of the object, and g is the acceleration due to gravity (9.8 m/s^2).

Substituting the given values, we get 75 N = (1000 kg/m^3) V (9.8 m/s^2).

Solving for V, we get V = 0.00765 m^3.

Therefore, the volume of the metal object is 0.00765 m^3.
 

FAQ: Find Volume of Metal Object: 860-785 N, 9.8 m/s^2

1. How do you calculate the volume of a metal object?

To calculate the volume of a metal object, you will need to know the mass of the object and its density. The formula for volume is mass divided by density. In this case, you will also need to know the force applied (860-785 N) and the acceleration (9.8 m/s^2) to calculate the mass.

2. What is the mass of the metal object?

The mass of the metal object can be calculated by dividing the force (860-785 N) by the acceleration (9.8 m/s^2). In this case, the mass would be approximately 8.57 kg.

3. How do you determine the density of the metal object?

To determine the density of the metal object, you will need to divide the mass by the volume. The volume can be calculated by dividing the mass by the density. In this case, the density would be approximately 8.57 kg divided by the volume of the metal object.

4. Can the volume of the metal object change?

Yes, the volume of the metal object can change depending on the force applied to it. If the force changes, the volume may also change. However, the density of the metal object will remain the same.

5. How does the acceleration affect the volume of the metal object?

The acceleration does not directly affect the volume of the metal object. The volume is determined by the mass and density of the object, which remain constant. However, the acceleration can indirectly affect the volume by changing the force applied to the object, which in turn can change the mass and therefore the volume.

Similar threads

How Does Nick's Acceleration Change When His Friend Pulls the Rope?
Replies
6
Views
3K
Approximating Answers When Exact Numbers Are Involved
Replies
7
Views
1K
Question about Projectile Motion: Throwing a Flower Pot from a Balcony
Replies
18
Views
633
Calculating Volume & Density of a Metal Object
Replies
22
Views
6K
Tension in 4 strings suspending object at 4 different points
Replies
19
Views
4K
I'm having a comprehension issue with a 2-D motion problem.
Replies
7
Views
2K
I'm stuck This is a combination of dynamics and free fall
Replies
2
Views
2K
Aluminium covered with gold submerged into water
2
Replies
50
Views
6K
Give a symbolic expression for submerging a metal in water
Replies
11
Views
11K
Kinematics question - Rocket launch
Replies
1
Views
9K

Hot Threads

Recent Insights

Back
Top