Concept explainers
A speed skater increases her speed from 10 m/s to 12.5 m/s over a period of 3 s while coming out of a curve of 20-m radius. What are the magnitudes of her radial, tangential, and total accelerations as she leaves the curve? (Remember that ar and at are the
To determine: The radial acceleration of the skater.
Answer to Problem 10AP
The magnitude of radial acceleration is
Explanation of Solution
Calculation:
Express the relation for radial acceleration.
Here,
Substitute
Therefore, the magnitude of radial acceleration is
Therefore, the magnitude of radial acceleration is
To determine: The tangential acceleration of the skater.
Answer to Problem 10AP
The magnitude of tangential acceleration is
Explanation of Solution
Calculation:
Express the relation for tangential acceleration.
Here,
Substitute
Therefore, the magnitude of tangential acceleration is
Therefore, the magnitude of tangential acceleration is
To determine: The total acceleration of the skater.
Answer to Problem 10AP
The magnitude of total acceleration is
Explanation of Solution
Calculation:
Express the relation for total acceleration.
Here,
Substitute
Therefore, the magnitude of total acceleration is
Therefore, the magnitude of total acceleration is
Want to see more full solutions like this?
Chapter 11 Solutions
BASIC BIOMECHANICS
- According to Jean Buridan’s equation, the momentum or “impetus” of an 8 kilogram mass moving at 48 meters per second would be: 192 kilogram-meters per second 384 kilogram-meters per second 576 kilogram-meters per second 768 kilogram-meters per second 960 kilogram-meters per secondarrow_forwardThe “mean-speed theorem” for calculating average velocity under constant acceleration, developed by Thomas Bradwardine and the Mertonian Calculators at Oxford University, is expressed algebraically as: density = weight/volume (m1)(v1) = (m2)(v2) C. (vm) = 1/2 (v0 + vf) s = (v0)(t) + 1/2 (a)(t2) velocity = distance/timearrow_forwardBased on the speculations of Nicole Oresme, and on the equation relating spatial distance, time, initial velocity, and constant acceleration developed by the Mertonian Calculators, how far would you expect a falling object to travel in 4 seconds (falling from a spaceship towards the Earth, in the vacuum of space), starting at 0 feet/second, with constant acceleration (32 feet/sec2), and neglecting possible air friction? 64 feet 144 feet 256 feet 400 feet 576 feetarrow_forward
- Potential energy is increased by increasing the height (increasing the gravitational potential ) and /or increasing the Mass kinetic energy is increased by ?arrow_forwardAn airplane flying directly eastward at a constant speed travels 293 km in 2.0 h. (a) what is the average velocity of the plane? (b) what is the instantaneous velocity?arrow_forwardA study was done to find if different tire treads affect the braking distance of a car. What is the independant and dependant variable and constant of the sanario?arrow_forward
- What is the relationship between Net force, mass and acceleration. Newton’s second law of motion?arrow_forwardWhat are the instances in your everyday life where inertia plays a role. Determine whether these are beneficial or harmful effects of inertia. For the harmful effects of inertia, identify ways by which resulting problems are addressed. 1.Beneficial effects of inertia… 2.Harmful effects of inertia… 3.How the problem is or can be solvedarrow_forward1-Using the above “mean-speed theorem”, calculate the average velocity of a car with constant acceleration from 0 km/hour (initial speed) to 90 km/hour (final speed) over a 5 minute period of time. A. average velocity over 5 minutes = 45 kilometers/hour average velocity over 5 minutes = 30 kilometers/hour average velocity over 5 minutes = 18 kilometers/hour average velocity over 5 minutes = 15 kilometers/hour average velocity over 5 minutes = 12 kilometers/hourarrow_forward
- Principles Of Radiographic Imaging: An Art And A ...Health & NutritionISBN:9781337711067Author:Richard R. Carlton, Arlene M. Adler, Vesna BalacPublisher:Cengage Learning