Science

Physics

motion of a mass tied to a spring is described by the equation x=25cos(3t+6)cm. Given A= 25, K= 2 /meter, determine the mass

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)...

See similar textbooks

Related questions

Q: A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The…

Q: A pendulum has a period of 38.8 s. If you were to transfer this pendulum to the surface of Mars…

Q: Determine the slope (with uncertainty , units and correct sig fig) for this data. The spring…

A: K = -F/x (Spring constant is defined as the force required per unit of extension of the spring) So…

Q: A mass of 1.23 kg is attached to an ideal spring with a spring constant of 235 N/m and set into…

A: Given value---mass = 1.23 kg.spring constant = 235 N/m.Amplitude = 0.08 m.speed = 0.387 m/s.We have…

Q: Given that the Spring energy is ½ kx2, where x is the displacement of the spring from its…

A: Given data: Spring energy (U) = (1/2)kx2 x is displacement, k is spring constant The unit of spring…

Q: A pendulum passes x = 0 with a speed of 0.533 m/s; it swings out to A = 0.209 m. What is the period…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: What is the total length of a pendulum whose oscillation period is equal to 16s?answer in meters.

Q: A particle of mass 2.0 kg is attached to a spring of spring constant 30 N/m. If the maximum…

A: mass of the particle, m = 2.0 kg spring constant of the spring, k = 30 N/m maximum acceleration of…

Q: pendulum has a period of 47.9 s. If you were to transfer this pendulum to the surface of Mars…

Q: Suppose you measure that a pendulum makes 3 oscillations in 10.11 seconds. In units of Hertz, what…

A: The frequency of an oscillation is defined as the number of oscillations per unit time and is given…

Q: The average distance, d, that a Galapagos tortoise travels during a day scales with the tortoise’s…

A: Given data: Distance (d) is proportional to m2/3 Mass of tortoise 1 (m1) = 50 kg Distance traveled…

Q: The displacement of an object is described by this equation, where x

A: the displacement of an object is given by the following equation x=(0.74 m) cos 5.9 tx is a…

Q: A pendulum has a period of 42.4 s. If you were to transfer this pendulum to the surface of Mars…

Q: A mass moving back and forth on a spring obeys the sinusoidal equation x(t) = A cos(2πft), where A…

A: Given data: Equation of motion for spring mass system x(t) = A cos(2πft) Amplitude (A) = 10.0 cm…

Q: Suppose you measure that a pendulum makes 6 oscillations in 16.85 seconds. In units of Hertz, what…

A: Given Time period of pendulum in 6 oscillations=16.85 s required Frequency of oscillation

Q: A mass weighting 40 lbs stretches a spring 3 inches. The mass is in a medium that exerts a viscous…

Q: The period T of a pendulum ( in seconds) is related to its length L (in metres) by the popular…

Q: A vibrating spring supports a mass of 200 g and vibrates at frequency 3.95 Hz. If we replace this…

Q: A force of 720 newtons stretches a spring 4 meters. A mass of 45 kilograms is attached to the end of…

Q: The x vs. t graph in Figure 1 depicts the motion of a block with mass |x (т) MA m = 1.5 kg attached…

A: Given : A Wave representation of the motion of mass attached to the string. We have to find…

Q: The periodic motion of an object is described by this equation: x = ( 2 / 7 m ) cos( π t / 16 ) What…

Q: A mass of 1.23 kg is attached to an ideal spring with a spring constant of 235 N/m and set into…

A: Given value--- mass = 1.23 kg. spring constant = 235 N/m. Amplitude = 0.08 m. speed = 0.387 m/s.…

Q: A mass weighting 24 lbs stretches a spring 2 inches. The mass is in a medium that exerts a viscous…

A: Given,Weight, W = 24 lbsSpring is stretches by, x = 2 inchesviscous force, fd =28 lbsmass has…

Q: If a spring is stretched 2.0 cm by a suspended object having a mass of0.55 kg, what is the force…

A: The magnitude of restoring force of spring is given by F=kxk=spring constantx=extension of spring

Q: Suppose the oscillatory motion of an object can be modeled using the equation s(t) = 7.8sin(3.8t)…

A: The equation of the oscillatory motion is. st=7.8sin3.8t…

Q: Using the result of the previous question, find the value of I, if it is given that the first…

A: Value of g is same for both pendulum

Q: Express this product in units of km3 in standard scientific notation and with the appropriate number…

A: given that (4.2 km) × (4.0 m) × (13.24 × 10−3 mm)

Q: The period p of a pendulum, or time it takes for the pendulum, or the time it takes for the pendulum…

Q: A mass weighing 24 pounds, attached to the end of a spring, stretches it 4 inches. Initially, the…

A: mass weighing = 24 lb g = 32.2 ft/s2 initial position x =4 inches = 412=13ft spring constant…

Q: 0.4 kg mass is hung from a spring. It oscillates with a frequency of 0.5 Hz. How much additional…

Q: Suppose you measure that a pendulum makes 10 oscillations in 13.56 seconds. In units of Hertz, what…

A: Given data: Number of oscillations = 10 Time (t) = 13.56 seconds Required: The frequency of…

Q: You have a spring about which you know little, but with experimenting you discover that it extends 1…

Q: The magnitude of the restoring force (F) and the extension (X) of a certain spring are related by:…

A: Given data Kth=14 N/mKmeasured=11.9 N/m

Q: When a pendulum swings back and forth through a small arc, its horizontal displacement is given by…

A: D = A*Sin(t980l) Where D is in cm l is in cm t is in seconds A is in cm Thus, time period = 2πLg

Q: The period p of a pendulum, or the time it takes for the pendulum to make one complete swing, varies…

Q: A pendulum swings back and forth 6 times in 10.86 seconds a.what is the frequency of oscillation?

A: Given: time taken by the pendulum, t = 10.86 sec number of times the pendulum oscillate, n = 6

Q: A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The…

A: Write the dimensions of time and mass, respectively.Now write the given expression which k is known…

Question

The motion of a mass tied to a spring is described by the equation x=25cos(3t+6)cm. Given A= 25, K= 2 /meter, determine the mass

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The position of x of an oscillating particle as a function of time t is given by x= A cos (Bt) where A and B are constants. What are the physical dimension of those constants?
The displacement of an object is described by this equation, where x is in meters and t is in seconds: x= (0.44 m) cos(5.7t) What is the frequency (Hz) of the oscillating object? Round your answer to 5 decimal places.
A mass m at the end of a spring oscillates with a frequency of 0.78 Hz. When an additional 770 g mass is added to m, the frequency is 0.61 Hz. What is the value of m?
A pendulum has a period of 5.8 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?
The period of a pendulum is given by T = 2 √(L/g), where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. The pendulum has been subjected to an increase in temperature such that the length has increased by 1/2%. (a) Find the approximate percent change in the period. (b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.
the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?
The formula for the period (T: time) of a simple pendulum is given below. Dimensionally which equation is correct? (g: gravitational acceleration, L: length of the pendulum) A) T=47 L B) T=4n Vg * L g C) T=4n L2 D) T=4M g² E) T=47 L.
A mass m attached to a spring oscillates with a period of 3 second. If the mass is increased by 2kg, the period increases by 1 second. Calculate the initial mass m.
If the mass is 48kg and the spring constant is 12n/m,what is the period of oscillation?
On an average a human heart is found to beat 75times in a minute. Calculate its frequency and period.
Problem 3: The frequency of oscillation of a pendulum on a different planet is 3.3 Hz, and the acceleration due to gravity is 290 m/s2 Calculate, in meters, the length of the pendulum.
Suppose you measure that a pendulum makes 3 oscillations in 10.04 seconds. In units of Hertz, what is the frequency of oscillation?