What can a paleontologist tell from fossil footprints of a dinosaur
2 answers:
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Answer:
The spring force constant is .
Explanation:
We are told the mass of the ball is , the height above the spring where the ball is dropped is
, the length the ball compresses the spring is
and the acceleration of gravity is
.
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 is equal to the final mechanical energy
:
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:
If we manipulate the equation we have that:
Answer:
(a)
(b)
Explanation:
Represent losing with L and winning with W.
So:
--- Given
Probability of winning would be:
The question illustrates binomial probability and will be solved using the following binomial expansion;
So:
Solving (a): Winning at least 1
We look at the above and we list out the terms where the powers of W is at least 1; i.e., 1,2,3 and 4
So, we have:
Substitute value for W and L
<em>Hence, the probability of her winning at least one is 0.7599</em>
Solving (a): Wining exactly 2
We look at the above and we list out the terms where the powers of W is exactly 2
So, we have:
Substitute value for W and L
<em>Hence, the probability of her winning exactly two is 0.2646</em>