if 1 newton means, that you move a body of mass 1 kg in 1 sec. to the speed of 1m/sec.........................

Question

........., does 2 newton then means that you move a body of a mass of 2 kg in 2 seconds to a speed of 2meters/sec.?

Answer 1

Yes, absolutely.

F = ma = 1 kg (1 mps - 0)/1 sec = 1 kg 1 m/sec^2 is def as 1 Newton.

2F = 2 kg (2 mps - 0)/2 sec = 2 kg 1 m/sec^2 = 2[1 kg 1 m/sec^2] = 2 Newton

The reason the latter is 2 Newtons is because while the mass was doubled, the acceleration (1 m/sec^2) remained the same as the earlier case.

Answer 2

Yes, you define a newton as moving 1 kg of mass in 1 sec to the speed of 1/m/s you have made a newton into a unit which can be treated almost like the number "1". Mathematically it can be represented in the form:

(1 kg)(1 m/s)(1/s)

If you multiply that entire expression by 2 you will get 2 netwons. If you multiply each unit (not each term) unit by 2 you get:

(2 kg)(2 m/s)(1/[2s])

2 kg brought to 2 m/s in 2 seconds. Since seconds are a divisor in this expression one of the twos in the numerator is eliminated. Leaving only one 2 to multiply the entire expression. Thus it is indeed equal to 2 N.

Answer 3

Hello E, your statement is not clear. Do you mean after collision both stick on together or are they moving without attachment? So the friend has been misled and you have commented that the answers got by him are wrong. Please be precise, E.