**Exercise Explanation:**Kayla, a fitness trainer, develops an exercise that involves pulling a heavy crate across a rough surface. The exercise involves using a rope to pull a crate of mass \( M = 45.0 \, \text{kg} \) along a carpeted track. Using her physics expertise, Kayla determines that the coefficients of kinetic and static friction between the crate and the carpet are \( \mu_k = 0.490 \) and \( \mu_s = 0.770 \), respectively.**Problem Statement:**Kayla uses one of her employees, Ramon, to test the exercise. If the rope makes an angle of \( \theta = 23.0^\circ \) with the floor, what is the minimum force \( F_{\text{min}} \) that Ramon must apply to set the crate in motion? Use \( g = 9.80 \, \text{m/s}^2 \).\[ F_{\text{min}} = \, \text{______ N} \]**Next Task:**Next, Kayla has Ramon pull on the rope as hard as he can. If he pulls with a force of \( F = 295 \, \text{N} \) along the direction of the rope, and the rope makes the same angle of \( \theta = 23.0^\circ \) with the floor, what is the acceleration \( a \) of the box?\[ a = \, \text{______ m/s}^2 \]**Diagram Explanation:**The diagram shows a crate being pulled by a rope at an angle \( \theta \) relative to the horizontal floor. The force \( F \) is applied at this angle. The crate's mass is labeled \( M \) and it rests on a surface with coefficients of friction \( \mu_k \) and \( \mu_s \). The diagram highlights the setup of the problem, showing the angle of the applied force and the position of the crate on the surface.

The given values in question are as follows Mass of crate (m) = 45 kg Coefficient of static…

Kayla, a fitness trainer, develops an exercise that involves pulling a heavy crate across a rough surface. The exercise M F involves using a rope to pull a crate of mass M = 45.0 kg along a carpeted track. Using her physics expertise, Kayla determines that the coefficients of kinetic and static friction between the crate and the carpet are u = 0.490 and Hs = 0.770, respectively. Kayla uses one of her employees, Ramon, to test the exercise. If the rope makes an angle of 0 = 23.0° with the floor, what is the minimum force Fmin that Ramon must apply to set the crate in motion? Use g = 9.80 m/s?. Fmin = Next, Kayla has Ramon pull on the rope as hard as he can. If he pulls with a force of F = 295 N along the direction of the rope, and the rope makes the same angle of 0 = 23.0° with the floor, what is the acceleration a of the box? a = m/s?

Kayla, a fitness trainer, develops an exercise that involves pulling a heavy crate across a rough surface. The exercise M F involves using a rope to pull a crate of mass M = 45.0 kg along a carpeted track. Using her physics expertise, Kayla determines that the coefficients of kinetic and static friction between the crate and the carpet are u = 0.490 and Hs = 0.770, respectively. Kayla uses one of her employees, Ramon, to test the exercise. If the rope makes an angle of 0 = 23.0° with the floor, what is the minimum force Fmin that Ramon must apply to set the crate in motion? Use g = 9.80 m/s?. Fmin = Next, Kayla has Ramon pull on the rope as hard as he can. If he pulls with a force of F = 295 N along the direction of the rope, and the rope makes the same angle of 0 = 23.0° with the floor, what is the acceleration a of the box? a = m/s?

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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