**Sample Problem: Physics Application in Circus Performances****Question:**During a circus performance, John Tailor was fired from a compressed-air cannon whose barrel was 20 m long. Mr. Tailor emerged from the cannon (twice on weekdays, three times on Saturdays and Sundays) at 40 m/s. If Mr. Tailor’s mass was 60 kg, what was the average force on him when he was inside the cannon’s barrel?**Solution:**To solve this problem, we'll use the basic principles of physics, particularly the concepts related to force, acceleration, and motion.1. **Determine the acceleration:** Using the formula for acceleration (a) which is derived from the equation of motion: \[ v^2 = u^2 + 2as \] where - \( v \) is the final velocity (40 m/s), - \( u \) is the initial velocity (0 m/s, as he starts from rest), - \( s \) is the distance traveled in the barrel (20 m). Plugging in the values, we get: \[ (40 \, m/s)^2 = (0 \, m/s)^2 + 2a(20 \, m) \] \[ 1600 \, m^2/s^2 = 40a \, m \] \[ a = \frac{1600 \, m^2/s^2}{40 \, m} \] \[ a = 40 \, m/s^2 \]2. **Calculate the average force:** Using Newton's second law (F = ma), where - \( m \) is the mass (60 kg), - \( a \) is the acceleration (40 m/s²). Thus, \[ F = 60 \, kg \times 40 \, m/s^2 \] \[ F = 2400 \, N \]Therefore, the average force acting on John Tailor when he was inside the cannon’s barrel is **2400 N**.This problem demonstrates the practical application of physics in understanding motion, especially in scenarios where high speeds and forces are involved, such as circus performances using compressed-air cannons.

Apply the work-energy theorem. Here, F is the average force, d is the length of the barrel, m is…

10 22. During a circus performance, John Tailor was fired from a compressed-air cannon whose barrel was 20 m long. weekdays, Mr. Tailor emerged from the cannon (twice on w three times on Saturdays and Sundays) at 40 m/s. If Mr. Tailor's mass was 60 kg, what was the average force on him when he was inside the cannon's barrel?

10 22. During a circus performance, John Tailor was fired from a compressed-air cannon whose barrel was 20 m long. weekdays, Mr. Tailor emerged from the cannon (twice on w three times on Saturdays and Sundays) at 40 m/s. If Mr. Tailor's mass was 60 kg, what was the average force on him when he was inside the cannon's barrel?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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