The velocity of the teddy bear as it strikes the ground is 7.67 m/s.
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Velocity of the teddy when it strikes the ground</h3>
The velocity of the teddy when it strikes the ground is calculated from principle of conservation of energy as shown below.
K.E(bottom) = P.E(top)
¹/₂mv² = mgh
v² = 2gh
v = √2gh
where;
- h is height of fall of the teddy
- g is acceleration due to gravity
v = √(2 x 9.8 x 3)
v = 7.67 m/s
Thus, the velocity of the teddy bear as it strikes the ground is 7.67 m/s.
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Answer:

Explanation:
Let assume that one end of the spring is attached to the ground. The speed of the metal block when hits the relaxed vertical spring is:


The maximum compression of the spring is calculated by using the Principle of Energy Conservation:

After some algebraic handling, a second-order polynomial is formed:


The roots of the polynomial are, respectively:


The first root is the only solution that is physically reasonable. Then, the elongation of the spring is:

The maximum height that the block reaches after rebound is:


Energy at motion is: Kinetic energy
Answer:
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