
Concept explainers
Check Your Understanding What happens to force and accleration as the vehicles fall together? What wil our estimate of the velocity at a collision higher or lower than the speed actually be? And finally, what would happen if the masses were not identical? Would the force on each be the same or different? How about their accelerations?

The effect on force and acceleration when the vehicles fall together.
The estimate of the velocity at the higher or collision than the actual speed.
The effect on force and acceleration if the masses were not identical.
Answer to Problem 13.1CYU
Gravitation force, F, between two bodies and acceleration, a, due to the force is inversely proportional to the square of the distance which infers the increase in F and a at higher rate due to which speed attained by body will be greater. Change in mass will change the acceleration linearly while force will follow the Newton’s third law, that is equal and opposite.
Explanation of Solution
Introduction:
Gravitational force exerted by one body of mass
Acceleration a of body of mass
- Determine force
From equation 2, it is observed that gravitational force is inversely proportional to square of the distance between the two bodies. Force between two bodies when they are at distance r is given below
If body is moved closer half of the initial distance, that is
Therefore, force increased to 4 times as distance is decreased.Hence, force increases at a faster rate as the two vehicles brought closer.
- Determine acceleration
Acceleration also follows the similarfashion force, as given by equation 2. The new acceleration
- Determine speed
Final speed after moving a distance of scan be used using the following equation
As the acceleration increases at higher rate, hence the speed of the body (payload) will also be greater.
- Effect mass on force and acceleration
If the mass is changed (increased or decreased), force would also be changed accordingly. But according to Newton’s third law, gravitational force acting on each other would always be equal and directing opposite. As
Conclusion:
Hence, gravitation force, F, between two bodies and acceleration, a, due to the force is inversely proportional to the square of the distance
Want to see more full solutions like this?
Chapter 13 Solutions
University Physics Volume 1
Additional Science Textbook Solutions
Microbiology with Diseases by Body System (5th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
Applications and Investigations in Earth Science (9th Edition)
Living By Chemistry: First Edition Textbook
Campbell Biology (11th Edition)
- Two conductors having net charges of +14.0 µC and -14.0 µC have a potential difference of 14.0 V between them. (a) Determine the capacitance of the system. F (b) What is the potential difference between the two conductors if the charges on each are increased to +196.0 µC and -196.0 µC? Varrow_forwardPlease see the attached image and answer the set of questions with proof.arrow_forwardHow, Please type the whole transcript correctly using comma and periods as needed. I have uploaded the picture of a video on YouTube. Thanks,arrow_forward
- A spectra is a graph that has amplitude on the Y-axis and frequency on the X-axis. A harmonic spectra simply draws a vertical line at each frequency that a harmonic would be produced. The height of the line indicates the amplitude at which that harmonic would be produced. If the Fo of a sound is 125 Hz, please sketch a spectra (amplitude on the Y axis, frequency on the X axis) of the harmonic series up to the 4th harmonic. Include actual values on Y and X axis.arrow_forwardSketch a sign wave depicting 3 seconds of wave activity for a 5 Hz tone.arrow_forwardSketch a sine wave depicting 3 seconds of wave activity for a 5 Hz tone.arrow_forward
- The drawing shows two long, straight wires that are suspended from the ceiling. The mass per unit length of each wire is 0.050 kg/m. Each of the four strings suspending the wires has a length of 1.2 m. When the wires carry identical currents in opposite directions, the angle between the strings holding the two wires is 20°. (a) Draw the free-body diagram showing the forces that act on the right wire with respect to the x axis. Account for each of the strings separately. (b) What is the current in each wire? 1.2 m 20° I -20° 1.2 marrow_forwardplease solve thisarrow_forwardplease solve everything in detailarrow_forward
- 6). What is the magnitude of the potential difference across the 20-02 resistor? 10 Ω 11 V - -Imm 20 Ω 10 Ω 5.00 10 Ω a. 3.2 V b. 7.8 V C. 11 V d. 5.0 V e. 8.6 Varrow_forward2). How much energy is stored in the 50-μF capacitor when Va - V₁ = 22V? 25 µF b 25 µF 50 µFarrow_forward9). A series RC circuit has a time constant of 1.0 s. The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA. The capacitor is initially uncharged. What is the charge on the capacitor 2.0 s after the switch is closed? R 50 V a. 0.43 C b. 0 66 C c. 0.86 C d. 0.99 C Carrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning





