1) 29.5 N/m
2) 0.100 m
Explanation:
1)
The force constant of the spring can be found by using the fact that the force on the spring is proportional to the extension of the spring (Hooke's Law). Therefore, we can write:
where
is the change in the force on the spring, where
is the force applied when the hanging mass is
is the force applied when the hanging mass is
is the change in extension of the spring, where
is the extension of the spring when the hanging mass is 0.300 kg
is the extension of the spring when the hanging mass is 1.95 kg
Solving for k,
2)
When the first mass is hanging on the spring, we have
where:
is the force applied on the spring (the weight of the hanging mass)
k is the spring constant
is the extension of the spring wrt its natural length
is the natural length of the spring (the unloaded length)
Here we have
k = 29.5 N/m
Solving for , we find:
Answer:
p = -q
he distance is equal to the current distance, so the distance does not change
Explanation:
For this exercise we can solve it using the equation of the constructor
1 / f = 1 / p + 1 / q
where f is the focal length, p the distance to the object and q the distance to the image
For a flat surface the radius is at infinity, therefore 1 / f = 0, which implies
1 / p = - 1 / q
p = -q
Therefore the distance is equal to the current distance, so the distance does not change
You can download the answer here
bit.
ly/3a8Nt8n
Answer:
1.9 km
Explanation:
The equation for vertical motion is ...
h(t) = -4.9t^2 +26t +20
This will have a zero near t = 5.988 seconds.*
The horizontal distance traveled in that time is ...
(310 m/s)(5.988 s) ≈ 1856 m ≈ 1.9 km
_____
* The root of a quadratic can be found numerous ways. We choose the quick and easy: let a graphing calculator show it to you.
The animal that is hunted and consumed is considered the prey
