×
Get Full Access to University Physics - 13 Edition - Chapter 6 - Problem 85p
Get Full Access to University Physics - 13 Edition - Chapter 6 - Problem 85p

×

# A 5.00-kg block is moving at v = 6.00 m/s along a

ISBN: 9780321675460 31

## Solution for problem 85P Chapter 6

University Physics | 13th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

University Physics | 13th Edition

4 5 1 286 Reviews
31
0
Problem 85P

A 5.00-kg block is moving at ?v? = 6.00 m/s along a frictionless, horizontal surface 0? toward a spring with force constant ?k? = 500 N/m that is attached to a wall (?Fig. P6.79?). The spring has negligible mass. (a) Find the maximum distance the spring will be compressed. (b) If the spring is to compress by no more than 0.150 m, what should be the maximum value of v ? 0?? (?Fig. P6.79?)

Step-by-Step Solution:
Step 1 of 3

Solution 85P Here, the kinetic energy of the block is equal to the potential energy of the spring. Therefore, the necessary condition is, Kinetic energy of the block = Potential energy of the spring …..(1) Mass of the block m = 5.00 kg Speed v =06.00 m/s Force constant of the spring k = 500 N/m Let, the compression of the spring be x. From the condition given in equation 1, 1mv 2 = kx 2 2 0 2 mv 2 = kx 2 0 (a) Substituting the given values in this equation, 5.00 kg × (6.00) m /s = 500 N/m × x 2 2 2 x = 0.36 m x = 0.6 m Therefore, the spring will be compressed by 0.6 m. (b) Now, given x = 0.150 m 2 2 So, from the equation mv 0 = kx 2 2 2 5.00 kg × v 0 = 500 N/m × (0.150) m v 2 = 2.25 m /s 2 0 v = 1.50 m/s 0 The maximum value of v will 0e 1.50 m/s.

Step 2 of 3

Step 3 of 3

## Discover and learn what students are asking

Chemistry: The Central Science : Basic Concepts of Chemical Bonding
?Use data from Appendix C, Figure 7.10, and Figure 7.12 to calculate the lattice energy of RbCl.

Statistics: Informed Decisions Using Data : Testing the Significance of the Least-Squares Regression Model
?Why is it desirable to have the explanatory variables spread out to test a hypothesis regarding 1 or to construct confidence intervals about 1?

#### Related chapters

Unlock Textbook Solution