PD wrote: > > slavek krepelka wrote: > > Dear PD, > > > > The force exerted by a mass which has mass value of 1 kg is weight of > > that mass, when acted upon by earth gravity. The equivalent value unit > > of 1 g is used as the unit of acceleration. When a body with mass of 1 > > kg is accelerated so, that the force it exerts on whatever is pushing, > > or pulling it is equivalent to force it would weight on earth. > > > > Get it into your thick head. You are mixing weight and mass. Mass is > > always constant, as opposed to weight, which is subject to differences > > in the strength of gravitational field (lets say moon having 1/6 of the > > attractive force of earth), or the value of the rate of acceleration, > > therefore relative. > > > > That is why an astronaut in a space shuttle in a stable orbit weights > > nothing. The weight caused by earth gravitation is directionally > > countered by the weight caused by the centrifugal force, i.e. > > acceleration, while his mass remains unchanged at lets say 75 kg. > > > > Dip your nose into some elementary physics textbook or at least Webster > > (that is a standard American dictionary available even in some > > supermarkets) and lay off. > > > > Got it? Slavek > > Well, since you doubt my understanding of elementary physics, let me > offer some feedback. > > When looking at the 2nd law, F_net = m*a, do not confuse the left-hand > side with the right hand side. The left-hand side is for forces, the > right-hand side is for the effects of those forces. The weight is the > weight; it is a force, and it is not affected by acceleration. > > Let's take an example of you riding down an elevator that is > accelerating downwards at 0.8 m/s^2. How does this acceleration arise? > It must be the *result* of forces acting on you. By inspection, there > are two forces acting on you: the force of gravity (downwards) and the > contact force of the floor of the elevator on your feet (upwards). > Let's blindly guess that your mass is 70 kg. > > The right-hand side (taking up to be positive) is then (70 kg)(-0.8 > m/s^2). > > The cause of that acceleration is the sum of the forces, which is, on > the left-hand side > -(70 kg)(9.8 m/s^2) + F_floor = F_net. > > You'll note in this sum that the first term, the weight, is just what > you would have expected for your weight if you were standing still on > the ground. We'll see that we do not need it to decrease. Furthermore, > since the 9.8 comes from G*M(earth)/R(earth)^2, we do not expect that > number to decrease just because you're going down in an elevator. > Moreover, your mass does not change simply because you're going down in > an elevator. Therefore, your weight, (70 kg)(9.8 m/s^2), is not > expected to change just because you're going down in an elevator. > > Equating these two, we have > -(70 kg)(9.8 m/s^2) + F_floor = (70 kg)(-0.8 m/s^2) > > Now we can do some algebra to find out what the contact force of the > floor on your feet is: > F_floor = (70 kg)(9.8 m/s^2) - (70 kg)(0.8 m/s^2) = (70 kg)(9.0 m/s^2) > = 630 N. > > This contact force is somewhat less than your weight, 686 N. This is > illuminating, because it reveals that what we sense when the elevator > accelerates downward is not the drop in our weight, but the drop in the > contact force between the floor and our feet. In equilibrium, we're > accustomed to feeling our weight and that contact force being equal -- > but this isn't an equilibrium situation. > > Now, Slavek, this analysis is *exactly* the way that it would be > presented in an elementary physics text, and it is *entirely* > consistent with Newton's 2nd law. However, your poor understanding of > *apparent* weight has gotten in the way of your grip on the basic > principles here. > > PD Unit "kg" is a unit of innertial mass in physics. Using it for weight is folklore. |
|
Fumble Index | Original post & context: 43CDAEE1.6DAE60E4@sympatico.ca |