A 2.0 kg object compresses a spring with a spring constant of 100 N/m by a distance of 8 cm, and then the object is released. Assuming that the object maintains the same acceleration while the spring returns to equilibrium, how fast is the object moving after 1.2 s?

A 2.0 kg object compresses a spring with a spring constant of 100 N/m by a distance of 8 cm, and then the object is released. Assuming that the object maintains the same acceleration while the spring returns to equilibrium, how fast is the object moving after 1.2 s?

Name: A 2.0 kg object compresses a spring with a spring constant of 100 N/m
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: A 2.0 kg object compresses a spring with a spring constant of 100 N/m by a distance of 8 cm, and then the object is released. Assuming that the object maintains the same acceleration while the spring returns to equilibrium, how fast is the object mov

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section12.1: Motion Of An Object Attached To A Spring

Problem 12.1QQ: A block on the end of a spring is pulled to position x = A and released from rest. In one full cycle...

See similar textbooks

Similar questions

A set of keys on the end of a string is swung steadily in a horizontal circle. In one trial, it moves at speed v in a circle of radius r. In a second trial, it moves at a higher speed 4v in a circle of radius 4r. In the second trial, how does the period of its motion compare with its period in the first trial? (a) It is the same as in the first trial. (b) It is 4 times larger. (c) It is one-fourth as large. (d) It is 16 times larger. (e) It is one-sixteenth as large.
A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using an air track, a stopwatch, and a meterstick. The top of the track is measured to be 1.774 cm higher than the bottom of the track, and the length of the track is d = 127.1 cm. The cart is released from rest at the top of the incline, taken as x = 0, and its position x along the incline is measured as a function of time. For x values of 10.0 cm, 20.0 cm, 35.0 cm, 50.0 cm, 75.0 cm, and 100 cm, the measured times at which these positions are reached (averaged over five runs) are 1.02 s, 1.53 s, 2.01 s, 2.64 s, 3.30 s, and 3.75 s, respectively. (a) Construct a graph of x versus t2, with a best-fit straight line to describe the data. (b) Determine the acceleration of the cart from the slope of this graph. (c) Explain how your answer to part (b) compares with the theoretical value you calculate using a = g sin as derived in Example 4.3.
A student drops a water-filled balloon from the roof of the tallest building in town trying to hit her roommate on the ground (who is too quick). The first student ducks back but hears the water splash 4.021 s after dropping the balloon. If the speed of sound is 331 m/s, find the height of the building, neglecting air resistance.
A block on the end of a spring is pulled to position x = A and released from rest. In one full cycle of its motion, through what total distance does it travel? (a) A/2 (b) A (c) 2A (d) 4A
The position of a 0.30 kg object attached to a spring is described by the expression x=4.0 cos(3.0πt+π)x=4.0 cos(3.0πt+π) Determine a) the position of the object at t= 0.250 s b) the object's velocity at t=0.250 s c) the object's acceleration at t = 0.250 s
A block is suspended from a ceiling by a spring stretched 20 cm. When the block moves vertically , such motion is described by the equation y = ( - 0.2 + 0.3 Sin ( wt + θ ) ) m , determine the speed ( in m / s ) of the block when it passes through the position y = 0.1 m . g = 10m/s²
In a block-spring system m = 0.25kgandk = 4N /m. Att = 0.15s, the velocity is v = −0.174m/sand the acceleration2a = +0.877m /s. Write an expression for the displacement as a function of time, x(t)
An object, whose mass is 0.480 kg, is attached to a spring with a force constant of 110 N/m. The object rests upon a frictionless, horizontal surface The object is pulled to the right a distance A = 0.120 m from its equilibrium position (the vertical dashed line) and held motionless. The object is then released from rest At that very instant, what is the magnitude of the object's acceleration (in m/s2)? m/s2
A mass attached to a vertical spring has position function given by s(t)=5sin(3t)s(t)=5sin(3t) where tt is measured in seconds and ss in inches. Find the acceleration at time t=4
If a spring is stretched 0.98 cm by a suspended object having a mass of 0.20 kg, whatis the force constant of the spring? (a) 200 N/m (b) 98 N/m (c) 2 N/m (d) 100 N/m
This problem uses the ideal spring force in one dimension. F = -kx, where x is the deviation from equilibrium, and k is the spring constant. Calculate the particle's maximum speed (vmax), with these numbers: k = 2000 N/m = 2000 kg/s2 m = 5 kg (the mass of the particle) x0 = 0.2 m (the initial position) v0 = 5 m/s (the initial velocity)
An object oscillates back and forth on the end of a spring.Which of the following statements are true at some timeduring the course of the motion?(a) The object can have zero velocity and, simultaneously,nonzero acceleration.(b) The object can have zero velocity and, simultaneously,zero acceleration.(c) The object can have zero acceleration and,simultaneously, nonzero velocity.(d) The object can have nonzero velocity and nonzeroacceleration simultaneously.