Answer:
the energy required for the extension is 12.25 J
Explanation:
Given;
force constant of trampoline spring, k = 800 N/m
extension of trampoline spring, x = 17.5 cm = 0.175 m
The energy required for the extension is calculated as;
E = ¹/₂kx²
E = 0.5 x 800 x 0.175²
E = 12.25 J
Therefore, the energy required for the extension is 12.25 J
Answer:

Explanation:
<u>Sum of Vectors in the Plane</u>
Given two vectors

They can be expressed in their rectangular components as


The sum of both vectors can be done by adding individually its components

If the vectors are given as a magnitude and an angle
, each component can be found as


The first vector has a magnitude of 3.14 m and an angle of 30°, so


The second vector has a magnitude of 2.71 m and an angle of -60°, so


The sum of the vectors is


Finally, we compute the magnitude of the sum



Hannah comes to a rest in <em>t</em> = 0.4 s, so her acceleration is
<em>a</em> = (0 - 25 m/s) / (0.4 s) = -62.5 m/s²
(that is, the acceleration points in the direction opposing her movement forward as she brakes)
Then the force exerted on her by the seatbelt has magnitude
<em>F</em> = (65 kg) (62.5 m/s²) = 4062.5 N ≈ 4063 N
Feeling slightly uncomfortable during exercise is completely normal and should be expected. If there is unbearable pain however, the exerciser should stop and consult a doctor.
I hope this helped!