A 1 kg mass starts with an initial velocity of 100 m/s at the top of an inclined plane. By how much does it compress the spring at the bottom before coming to rest? (Assume there is NO friction). *Hint: Use conservation of energy.***Diagram Explanation:**The diagram shows a mass of 1 kg (labeled "m") situated at the top of a 100-meter high inclined plane. The initial velocity of the mass is 100 m/s. At the bottom of the incline, there is a spring with a stiffness coefficient \( k = 12,000 \, \text{N/m} \).The incline is depicted with a dashed line indicating the path of the mass. The mass is expected to travel down the incline and compress the spring when it reaches the bottom. The compression in the spring is indicated as \(\Delta x\).Using the concept of conservation of energy, the kinetic energy at the top of the incline and the potential energy of the mass is converted into the potential energy stored in the spring when it is compressed by \(\Delta x\).

Determine velocity of block at bottom ( when it just touch spring) by using energy conservation

A 1 Kg mass starts with an initial velocity of 100m/s at the top of an inclined plane. By how much does it compress the spring at the bottom before coming to rest? (Assume there is NO friction). HINT: Use conservation of energy. 100m/s m= IKg K=12, 000 N/m 100m

A 1 Kg mass starts with an initial velocity of 100m/s at the top of an inclined plane. By how much does it compress the spring at the bottom before coming to rest? (Assume there is NO friction). HINT: Use conservation of energy. 100m/s m= IKg K=12, 000 N/m 100m

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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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

A 1 kg mass starts with an initial velocity of 100 m/s at the top of an inclined plane. By how much does it compress the spring at the bottom before coming to rest? (Assume there is NO friction). *Hint: Use conservation of energy.*

**Diagram Explanation:**

The diagram shows a mass of 1 kg (labeled "m") situated at the top of a 100-meter high inclined plane. The initial velocity of the mass is 100 m/s. At the bottom of the incline, there is a spring with a stiffness coefficient \( k = 12,000 \, \text{N/m} \).

The incline is depicted with a dashed line indicating the path of the mass. The mass is expected to travel down the incline and compress the spring when it reaches the bottom. The compression in the spring is indicated as \(\Delta x\).

Using the concept of conservation of energy, the kinetic energy at the top of the incline and the potential energy of the mass is converted into the potential energy stored in the spring when it is compressed by \(\Delta x\).

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