Answer:
decline
Explanation:
Based on the scenario being described within the question it can be said that these types of firms are in the decline stage of the product life cycle. This stage refers to when a product has already passed it's peak potential and sales begin to decline until production is ultimately halted and the product dies off. Which is exactly what is happening to the LP's since everyone has moved on to digital downloads.
Answer:
upwards
downwards
Explanation:
Given:
weight of the person, ![w=688\ N](https://tex.z-dn.net/?f=w%3D688%5C%20N)
So, the mass of the person:
![m=\frac{w}{g}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bw%7D%7Bg%7D)
![m=\frac{688}{9.81}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B688%7D%7B9.81%7D)
![m=70.132\ kg](https://tex.z-dn.net/?f=m%3D70.132%5C%20kg)
- Now if the apparent weight in the elevator,
![w_a= 726\ N](https://tex.z-dn.net/?f=w_a%3D%20726%5C%20N)
<u>Then the difference between the two weights is :</u>
![\Delta w=w_a-w](https://tex.z-dn.net/?f=%5CDelta%20w%3Dw_a-w)
![\Delta w=726-688](https://tex.z-dn.net/?f=%5CDelta%20w%3D726-688)
is the force that acts on the body which generates the acceleration.
Now the corresponding acceleration:
![a=\frac{\Delta w}{m}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5CDelta%20w%7D%7Bm%7D)
![a=\frac{38}{70.132}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B38%7D%7B70.132%7D)
upwards, because the normal reaction that due to the weight of the body is increased here.
- Now if the apparent weight in the elevator,
![w_a= 598\ N](https://tex.z-dn.net/?f=w_a%3D%20598%5C%20N)
<u>Then the difference between the two weights is :</u>
![\Delta w=w-w_a](https://tex.z-dn.net/?f=%5CDelta%20w%3Dw-w_a)
![\Delta w=688-598](https://tex.z-dn.net/?f=%5CDelta%20w%3D688-598)
is the force that acts on the body which generates the acceleration.
Now the corresponding acceleration:
![a=\frac{\Delta w}{m}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5CDelta%20w%7D%7Bm%7D)
![a=\frac{90}{70.132}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B90%7D%7B70.132%7D)
downwards, because the normal reaction that due to the weight of the body is decreased here.
Answer:
2856.96 J
0
0
![\frac{1}{2}mv_i^2+mgh_i=\frac{1}{2}mv_f^2+mgh_f](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dmv_i%5E2%2Bmgh_i%3D%5Cfrac%7B1%7D%7B2%7Dmv_f%5E2%2Bmgh_f)
6.78822 m/s
Explanation:
= Initial velocity = 9.6 m/s
g = Acceleration due to gravity = 9.81 m/s²
h = Height
The athlete only interacts with the gravitational potential energy. Air resistance is neglected.
At height y = 0
Kinetic energy
![K=\frac{1}{2}mv^2\\\Rightarrow K=\frac{1}{2}\times 62\times 9.6^2\\\Rightarrow K=2856.96\ J](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2%5C%5C%5CRightarrow%20K%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2062%5Ctimes%209.6%5E2%5C%5C%5CRightarrow%20K%3D2856.96%5C%20J)
At height y = 0 the potential energy is 0 as
![P=mgy\\\Rightarrow P=mg0=0](https://tex.z-dn.net/?f=P%3Dmgy%5C%5C%5CRightarrow%20P%3Dmg0%3D0)
At maximum height her velocity becomes 0 so the kinetic energy becomes zero.
As the the potential and kinetic energy are conserved
The general equation
![K_i+P_i=K_f+P_f\\\Rightarrow \frac{1}{2}mv_i^2+mgh_i=\frac{1}{2}mv_f^2+mgh_f](https://tex.z-dn.net/?f=K_i%2BP_i%3DK_f%2BP_f%5C%5C%5CRightarrow%20%5Cfrac%7B1%7D%7B2%7Dmv_i%5E2%2Bmgh_i%3D%5Cfrac%7B1%7D%7B2%7Dmv_f%5E2%2Bmgh_f)
Half of maximum height
![\\\Rightarrow mgh_i+\frac{1}{2}mv_f^2=mg\frac{h_i}{2}+\frac{1}{2}mv^2\\\Rightarrow gh_i=g\frac{h_i}{2}+\frac{1}{2}v^2\\\Rightarrow g\frac{h_i}{2}=\frac{1}{2}v^2\\\Rightarrow v=\sqrt{gh}](https://tex.z-dn.net/?f=%5C%5C%5CRightarrow%20mgh_i%2B%5Cfrac%7B1%7D%7B2%7Dmv_f%5E2%3Dmg%5Cfrac%7Bh_i%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7Dmv%5E2%5C%5C%5CRightarrow%20gh_i%3Dg%5Cfrac%7Bh_i%7D%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7Dv%5E2%5C%5C%5CRightarrow%20g%5Cfrac%7Bh_i%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B2%7Dv%5E2%5C%5C%5CRightarrow%20v%3D%5Csqrt%7Bgh%7D)
![h_i=\frac{v_i^2}{2g}](https://tex.z-dn.net/?f=h_i%3D%5Cfrac%7Bv_i%5E2%7D%7B2g%7D)
![v=\sqrt{gh}\\\Rightarrow v=\sqrt{g\times \frac{v_i^2}{2g}}\\\Rightarrow v=\sqrt{\frac{v_i^2}{2}}\\\Rightarrow v=\sqrt{\frac{9.6^2}{2}}\\\Rightarrow v=6.78822\ m/s](https://tex.z-dn.net/?f=v%3D%5Csqrt%7Bgh%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7Bg%5Ctimes%20%5Cfrac%7Bv_i%5E2%7D%7B2g%7D%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B%5Cfrac%7Bv_i%5E2%7D%7B2%7D%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B%5Cfrac%7B9.6%5E2%7D%7B2%7D%7D%5C%5C%5CRightarrow%20v%3D6.78822%5C%20m%2Fs)
The velocity of the athlete at half the maximum height is 6.78822 m/s
Answer:
24,187.04 J ≈ 24,200 J
Explanation:
mass (m) = 544 kg
initial speed (u) = 6.75 m/s
final speed (v) = 15.2 m/s
change in height (Δh) = -14 m (negative sign is because there is a decrease in height )
acceleration due to gravity (g) = 9.8 m/s^{2}
How much work was done on the raft by non conservative forces?
work done = change in energy of the system = change in kinetic energy + change in potential energy
work done = (
) + (mgΔh)
work done = (
) + (544 x 9.8 x (-14))
work done = 50449.76 - 74,636.8
work done = 24,187.04 J ≈ 24,200 J