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(a) What is the length of a simple pendulum that oscillates with a period of 4.00 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s?? LE = m LM = m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 4.00 s on Earth, where the acceleration due

(a) What is the length of a simple pendulum that oscillates with a period of 4.00 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s?? LE = m LM = m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 4.00 s on Earth, where the acceleration due

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(a) What is the length of a simple pendulum that oscillates with a period of 4.00 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2? LE = m LM = m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 4.00 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s?? m- = kg mM = kg
Transcribed Image Text:(a) What is the length of a simple pendulum that oscillates with a period of 4.00 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s2? LE = m LM = m (b) What mass would you need to suspend from a spring with a force constant of 20 N/m in order for the mass-spring system to oscillate with a period of 4.00 s on Earth, where the acceleration due to gravity is 9.80 m/s2, and on Mars, where the acceleration due to gravity is 3.70 m/s?? m- = kg mM = kg
A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on the table. A 9.00 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 3.0 cm and releases it from rest at t = 0. The mass oscillates in SHM. (a) Determine the equations of motion. (Use the following as necessary: t. Round your coefficients to at least three significant figures. In your equations, let distance be in cm and time be in s. Do not include units in your answers.) position (in cm) x(t) = cm velocity (in cm/s) v(t) = cm/s acceleration (in cm/s2) a(t) = cm/s? (b) Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s2) of the mass at time t = 3.99 s. (Indicate the direction with the signs of your answers.) position cm velocity cm/s acceleration |cm/s²
Transcribed Image Text:A mass is placed on a frictionless, horizontal table. A spring (k = 100 N/m), which can be stretched or compressed, is placed on the table. A 9.00 kg mass is attached to one end of the spring, the other end is anchored to the wall. The equilibrium position is marked at zero. A student moves the mass out to x = 3.0 cm and releases it from rest at t = 0. The mass oscillates in SHM. (a) Determine the equations of motion. (Use the following as necessary: t. Round your coefficients to at least three significant figures. In your equations, let distance be in cm and time be in s. Do not include units in your answers.) position (in cm) x(t) = cm velocity (in cm/s) v(t) = cm/s acceleration (in cm/s2) a(t) = cm/s? (b) Find the position (in cm), velocity (in cm/s), and acceleration (in cm/s2) of the mass at time t = 3.99 s. (Indicate the direction with the signs of your answers.) position cm velocity cm/s acceleration |cm/s²
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