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# A 1.50-kg mass on a spring has displacement as a function ISBN: 9780321675460 31

## Solution for problem 19E Chapter 14

University Physics | 13th Edition

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Problem 19E

A 1.50-kg mass on a spring has displacement as a function of time given by x(t) = (7.40 cm) cos [(4.16 rad/s)t - 2.42] Find (a) the time for one complete vibration; (b) the force constant of the spring; (c) the maximum speed of the mass; (d) the maxi-mum force on the mass; (e) the position, speed, and acceleration of the mass at t = 1.00 s; (f) the force on the mass at that time.

Step-by-Step Solution:

Solution 19E Step 1 of 6: a) Time period , T = = 4.16 rad/s1.51 s Step 2 of 6: k b)we have relation , = m Force constant ,k = m = 1.5 kg × (4.16 rad/s) = 26 N/m Step 3 of 6: c)Maximum speed ,v = A = 4.16 rad/s × 7.4 cm = 30.8 cm/s max

Step 4 of 6

Step 5 of 6

##### ISBN: 9780321675460

The answer to “A 1.50-kg mass on a spring has displacement as a function of time given by x(t) = (7.40 cm) cos [(4.16 rad/s)t - 2.42] Find (a) the time for one complete vibration; (b) the force constant of the spring; (c) the maximum speed of the mass; (d) the maxi-mum force on the mass; (e) the position, speed, and acceleration of the mass at t = 1.00 s; (f) the force on the mass at that time.” is broken down into a number of easy to follow steps, and 76 words. Since the solution to 19E from 14 chapter was answered, more than 366 students have viewed the full step-by-step answer. This full solution covers the following key subjects: mass, Force, spring, speed, acceleration. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 19E from chapter: 14 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by and is associated to the ISBN: 9780321675460. This textbook survival guide was created for the textbook: University Physics, edition: 13.

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