A weather rocket generates a thrust of The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is , is anchored to the ground.
a. Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed?
b. After the engine is ignited, what is the rocket’s speed when the spring has stretched
a. The compression in the spring is
b. The speed of rocket is
The conservation of energy is
Considering the following diagram,
The origin of the coordinate system is placed on a free ed of the spring.
The rocket is initially at rest. Apply the newton's second law to balance the forces.
Use the equation for conservative energy when
A kg mass hanging from a spring scale is slowly lowered onto a vertical spring, as shown in the FIGURE. The scale reads in newtons.
a. What does the spring scale read just before the mass touches the lower spring?
b. The scale reads N when the lower spring has been compressed by cm. What is the value of the spring constant for the lower spring?
c. At what compression will the scale read zero?
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