- Messages
- 1,394
- Reaction score
- 12,123
- Points
- 523
View attachment 62530
Anyone please help?
well if I were to do this, I would have done it like this:They are asking for a hypothetical relationship, a "possible relationship" as they say. You know that Power depends on v and F, and F depends on v. So power depends on v twice as much as F depends on v. Thus, in a potential relationshiip, the dependence of Power on v must be one exponent higher than the dependence of F on v. A is impossible 'cause this shows the reverse. B and C are impossible cause here both are dependent on v to the same extent. This leaves only D as plausible answer where Power shows dependence on v to the cube while F shows dependence on v to the square. I'm not so good at maths hopefully someone else can explain if I didn't make sense.
P = Fv
Since the object is moving, it definitely possesses some Ek. So substitute it into the above equ.
Ek/t = Fv
Take 't' on the other side, you will get:
Ek = F*d 0.5*m*v^2 = F*d
take 'd' on other side and divide. you will get:
0.5m/d * v^2 = F
since speed is constant, resistive force = driving force, so (Fr for resistive force)
Fr = 0.5m/d * v^2
Mass of the object, and distance moved, let them to be constant. so Fr depends on V^2 like this: Fr = k v^2
=> Fr ∝ v^2
Now to find the relationship with power, we know: P = Fv
F= kv^2 <--- put this into above ^ equ
P = kv^2 * v
P = k v^3
P ∝ v^3
Hence the answer is D.