**Problem 7:**A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 405 N/m. The angle of the ramp with respect to the horizontal is 39°.**Part (a):** The block, starting from rest, slides down the ramp a distance of 45 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest?\[\Delta x = \_\_ \]**Calculator Options:**- Trigonometric functions: sin(), cos(), tan(), cotan(), etc.- Hyperbolic functions: sinh(), cosh(), tanh(), etc.- Degree/Radian toggle- Standard numeric keys**Feedback:**5% deduction per hint. Hints remaining: 3.**Part (b):**After the block comes to rest, the spring pushes the block back up the ramp. How fast, in meters per second, is the block moving right after it comes off the spring?**Part (c):**What is the change of the gravitational potential energy, in joules, between the original position of the block at the top of the ramp and the position of the block when the spring is fully compressed?**Grade Summary:**- Deductions: 0%- Potential: 100%**Submissions:**- Attempts remaining: 10 (0% per attempt)**Hints:**Feedback incurs a 5% deduction per feedback given.**Diagram Explanation:**The diagram shows a block (labeled M) on a frictionless ramp. The ramp includes a spring at its bottom end. The block is pictured at the top of the ramp with the ramp inclined at an angle θ to the horizontal, and the block is noted to slide downward a distance \( d \) before compressing the spring.

Draw the labeled diagram of the arrangement as shown in the figure.

(9%) Problem 7: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 405 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39°. M Otheexpertta.com P A 33% Part (a) The block, starting from rest, slides down the ramp a distance 45 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? Ar = Grade Summary Deductions 0% Dotentia1 100

(9%) Problem 7: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 405 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39°. M Otheexpertta.com P A 33% Part (a) The block, starting from rest, slides down the ramp a distance 45 cm before hitting the spring. How far, in centimeters, is the spring compressed as the block comes to momentary rest? Ar = Grade Summary Deductions 0% Dotentia1 100

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)...

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