Can someone please answer these two science questions. Please don't answer with just anything for the points, I genuinely need t
he answers. Thanks! :)
1 answer:
6.
Answer:
45 meters
Explanation:
notice that is you multiply the time with the speed the units cancel to get distance.
therefore
distance=velocity(time)
distance=(3)15
distance =45 meters
7.
Answer:
1. the speed is constant
2. the average speed is .5 m/s
Explanation:
I have attached a graph of the data in excel.
from excel i got the equation of the line to be y=.5x with y being distance and x being time.
the function is a position function so if you take the derivative of it you get the velocity which is .5.
since the derivative is a constant the the speed does not change and the average velocity is the derivative.
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Answer:
a) k = 200 N/m
b) E = 4 J
c) Δx = 6.3 cm
Explanation:
a)
- In order to find force constant of the spring, k, we can use the the Hooke's Law, which reads as follows:
- where F = 40 N and Δx =- 0.2 m (since the force opposes to the displacement from the equilibrium position, we say that it's a restoring force).
- Solving for k:
b)
- Assuming no friction present, total mechanical energy mus keep constant.
- When the spring is stretched, all the energy is elastic potential, and can be expressed as follows:
- Replacing k and Δx by their values, we get:
c)
- When the object is oscillating, at any time, its energy will be part elastic potential, and part kinetic energy.
- We know that due to the conservation of energy, this sum will be equal to the total energy that we found in b).
- So, we can write the following expression:
- Replacing the right side of (5) with (4), k, m, and v by the givens, and simplifying, we can solve for Δx₁, as follows:
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