A box is motionless, sitting on a ramp with an incline of 0 =51.1 ° being pulled in the direction up the ramp by a spring with a spring constant of k=60 N/m that is stretched x=2.8 m. The coefficient of friction between the ramp and the box are µ =0.6 and u k=0.31 and the friction force is going down the ramp. What is the mass of the box? Solve symbolically: Solve numerically: m= Units: If the box starts moving up a ramp with an acceleration of a=1.72 m/s-, what is the new length that the spring will stretch? Solve symbolically: Solve numerically: Units:

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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**Problem:**

A box is motionless, sitting on a ramp with an incline of \( \theta = 51.1^\circ \). It is being pulled in the direction up the ramp by a spring with a spring constant of \( k = 60 \, \text{N/m} \) that is stretched \( x = 2.8 \, \text{m} \). The coefficients of friction between the ramp and the box are \( \mu_s = 0.6 \) (static) and \( \mu_k = 0.31 \) (kinetic), and the friction force is going down the ramp.

**Question 1:**
What is the mass of the box?

- **Solve symbolically:**
  - [Solution space]

- **Solve numerically:**
  - \( m = \) [Solution space]
  - Units: [Solution space]

**Question 2:**
If the box starts moving up a ramp with an acceleration of \( a = 1.72 \, \text{m/s}^2 \), what is the new length that the spring will stretch?

- **Solve symbolically:**
  - [Solution space]

- **Solve numerically:**
  - [Solution space]
  - Units: [Solution space]
Transcribed Image Text:**Problem:** A box is motionless, sitting on a ramp with an incline of \( \theta = 51.1^\circ \). It is being pulled in the direction up the ramp by a spring with a spring constant of \( k = 60 \, \text{N/m} \) that is stretched \( x = 2.8 \, \text{m} \). The coefficients of friction between the ramp and the box are \( \mu_s = 0.6 \) (static) and \( \mu_k = 0.31 \) (kinetic), and the friction force is going down the ramp. **Question 1:** What is the mass of the box? - **Solve symbolically:** - [Solution space] - **Solve numerically:** - \( m = \) [Solution space] - Units: [Solution space] **Question 2:** If the box starts moving up a ramp with an acceleration of \( a = 1.72 \, \text{m/s}^2 \), what is the new length that the spring will stretch? - **Solve symbolically:** - [Solution space] - **Solve numerically:** - [Solution space] - Units: [Solution space]
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