
Concept explainers
Review Question 13.1 How would you determine the density of an irregularly shaped object?

The way of calculating the density of an irregular object.
Answer to Problem 1RQ
Solution:
Calculate the weight of the object with the help of a weighing machine. Then, divide it by the acceleration due to Earth’s gravity to find the mass of the object. Next, calculate the volume of the irregular object by sinking the object in a container with a fluid of a relatively less density. Now, check the change in the volume of the container before and after sinking the object. That change is the volume of the object. Now, divide the mass and volume of object values to find the density of the object.
Explanation of Solution
Introduction:
Mass is the measure of matter present in a body. It is a measure of inertia. It is constant for any object.
Weight is the force caused by gravitational acceleration on a mass:
Here,
Volume is a measure of the space enclosed by the object.
Density is calculated by dividing mass and volume:
Here
Explanation:
Weighing machines will calculate the force Earth exerts on the body:
Rearrange the above expression:
So, mass can be calculated by dividing weight with the acceleration due to gravity.
Now, to calculate the volume of the object, take a container that has a reading of volume on it. Assume that the initial reading of the fluid inside the container is
So, the change in volume is
This change is equal to the volume of the object.
Write the expression for density:
Substitute
This will be the value of density.
Conclusion:
Mass can be found out with the help of a weighing machine. Since the object is of an irregular shape, there is no direct formula for calculating the volume of the object by geometry. So, the best way is to calculate its volume by calculating the space that the object encloses. Then, divide both values to calculate its density.
Want to see more full solutions like this?
Chapter 13 Solutions
College Physics
Additional Science Textbook Solutions
Cosmic Perspective Fundamentals
College Physics: A Strategic Approach (3rd Edition)
Human Physiology: An Integrated Approach (8th Edition)
Chemistry: The Central Science (14th Edition)
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Organic Chemistry (8th Edition)
- The drawing shows a crystalline slab (refractive index 1.995) with a rectangular cross section. A ray of light strikes the slab at an incident angle of 01 = 35.0°, enters the slab, and travels to point P. This slab is surrounded by a fluid with a refractive index n. What is the maximum value of n such that total internal reflection occurs at point P? Ме Buarrow_forwardWhat is the amount of M112 needed to breach a 5-foot thick dense concrete wall utilizing an internal charge placed in the center of the target?arrow_forwardA small postage stamp is placed in front of a concave mirror (radius = 1.1 m), such that the image distance equals the object distance. (a) What is the object distance? (b) What is the magnification of the mirror (with the proper sign)?arrow_forward
- Calculate the anti-clockwise torque and the clockwise torque of the system with the ruler and the washers. Record these values in Data Table 5. Ruler = 11.56 g, small washer = 1.85 g, large washer = 24.30 g. Calculate the % Difference in the Torques and record the values in Data Table 5. Is ΣAnticlockwise torque and Anticlockwise torque the same thing, are they solved in the same way?arrow_forwardA window washer stands on a uniform plank of mass M = 142 kg and length l = 2.80 m supported by 2 ropes attached at the ends of the plank. The window washer has a mass m = 68.0 kg. What is the tension in each of the ropes, T1 and T2, if the window washer's displacement from the center of mass of the plank is x = 0.930 m as shown in Figure 1: Window Washer Problem?arrow_forwardA man holds a double-sided spherical mirror so that he is looking directly into its convex surface, 33 cm from his face. The magnification of the image of his face is +0.17. What will be the image distance when he reverses the mirror (looking into its concave surface), maintaining the same distance between the mirror and his face? Be sure to include the algebraic sign (+ or -) with your answer.arrow_forward
- How do you draw a diagram of the ruler and mass system in equilibrium identifying the anti-clockwise torque and clockwise torque? How do I calculate the anti-clockwise torque and the clockwise torque of the system with the ruler and the washers, does it come from the data in table 4? Please help, thank you!arrow_forwardExample Double pane windows have two panes of glass (n = 1.5), with a layer of air sandwiched between them. If light from outside enters the first pane at an angle of 25° from the surface normal, what angle does it enter the house at? ☑ 3 5arrow_forwardDid your experiment results in Data Table 3 verify, to within a reasonable experimental error, the condition of equilibrium of Equation 6: Στanti-clockwise = Στclockwise? Support your response with experimental data. What does this Σ mean? My results do not show they are equal to each other, what does this mean then, and what does the data show? Thanks!arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning





