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emmasim [6.3K]
2 years ago
5

The law of conservation of mass is important in ecology because _________.

Physics
1 answer:
Greeley [361]2 years ago
7 0

Answer:Sample Response: The law of conservation of mass states that the total amount of mass remains constant in a system. In ecology, this means that when an organism is eaten, its mass is conserved. Some of the organism’s mass is used to make new proteins, and some of it is passed as waste in the form of urine or feces. The rest is converted directly into energy. This energy helps the consumer to move and grow, and it helps it to build and repair new tissue.

Explanation:

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A(n) 55.5 g ball is dropped from a height of 53.6 cm above a spring of negligible mass. The ball compresses the spring to a maxi
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Answer:

The spring force constant is  k=243\ \frac{N}{m} .

Explanation:

We are told the mass of the ball is m=0.0555\ kg, the height above the spring where the ball is dropped is h=0.536\ m,  the length the ball compresses the spring is d=0.04897\ m and the acceleration of gravity is 9.8\ \frac{m}{s^{2}} .

We will consider the initial moment to be when the ball is dropped and the final moment to be when the ball stops, compressing the spring. We supose that there is no friction so the initial mechanical energy E_{mi} is equal to the final mechanical energy E_{mf} :

                                                    E_{mf}=E_{mi}

Initially there is only gravitational potential energy because the force of the spring isn't present and the speed is zero. In the final moment there is only elastic potential energy because the height is zero and the ball has stopped. So we have that:

                                                   \frac{1}{2}kd^{2}=mgh

If we manipulate the equation we have that:

                                                    k=\frac{2mgh}{d^{2} }

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                                              k=\frac{0.58306\ \frac{kgm^{2}}{s^{2}}}{2.398x10^{-3}m^{2}}

                                                     k=243\ \frac{N}{m}

                                                   

                             

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