6. A 2 kg block is pushed against a spring with spring constant k = 400 N/m, compressing it 22 cm. It is then released from rest, and the spring pushes the block to the right. The block leaves the spring when the spring has returned to its rest length. The block then moves along a frictionless horizontal surface and then up a frictionless incline with slope 37º. k = 400 N/m m = 2.00 kg MAMMA -0.220 m a.) What is the energy stored in the spring when the spring is compressed? b.) What is the velocity of the block when it leaves the spring? c.) How far does the block travel up the incline (vertical height) before it comes to a stop and then starts back down the incline? 37.0⁰

6. A 2 kg block is pushed against a spring with spring constant k = 400 N/m, compressing it 22 cm. It is then released from rest, and the spring pushes the block to the right. The block leaves the spring when the spring has returned to its rest length. The block then moves along a frictionless horizontal surface and then up a frictionless incline with slope 37º. k = 400 N/m m = 2.00 kg MAMMA -0.220 m a.) What is the energy stored in the spring when the spring is compressed? b.) What is the velocity of the block when it leaves the spring? c.) How far does the block travel up the incline (vertical height) before it comes to a stop and then starts back down the incline? 37.0⁰

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

**Problem 6:**

A 2 kg block is pushed against a spring with a spring constant \( k = 400 \, \text{N/m} \), compressing it 22 cm. It is then released from rest, and the spring pushes the block to the right. The block leaves the spring when the spring has returned to its rest length. The block then moves along a frictionless horizontal surface and then up a frictionless incline with a slope of 37°.

**Questions:**

a.) What is the energy stored in the spring when the spring is compressed?

b.) What is the velocity of the block when it leaves the spring?

c.) How far does the block travel up the incline (vertical height) before it comes to a stop and then starts back down the incline?

**Diagram Explanation:**

- The diagram shows a spring compressed by 0.220 meters with a block of mass 2.00 kg.
- The spring constant is labeled as 400 N/m.
- The surface is divided into two parts: a horizontal surface and an incline with a slope of 37°.
- The incline starts from the end of the spring and goes upwards.

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