a person weight 540n on the earth what is the person mass ? would the person weight on moon where the acceleration due to gravity is 1.67n/kg?
2007-03-16 02:39:43 · 4 answers · asked by sunny p 1 in Science & Mathematics ➔ Physics
So this is an application of newton's 2nd law.
If the person weighs 540 on earth, then his mass is:
F = ma
540 = mass (g)
540/g = mass
On the moon:
F = ma (still applies!)
F = (mass you got on earth) * (1.67)
= 540*1.67/9.80
round to 2 significant figures
2007-03-16 02:43:33 · answer #1 · answered by J Z 4 · 0⤊ 0⤋
Mass, m, is related to weight W by
W = mg
where g is the acceleration due to gravity.
Thus m = W/g = 540/9.8 = 55.1 kg
The person's mass remains the same, regardless of where they are. On the moon, they will have a different weight, due to the different acceleration due to gravity present on the moon.
Their weight on the moon is given by
W = mg = (55.1)(1.67) = 92 N.
Notice how their weight is less on the moon, this is due to the lesser gravity present on the moon
2007-03-16 09:45:10 · answer #2 · answered by dudara 4 · 0⤊ 0⤋
wt=540N
mass=wt/g=540/10=54kg
yes the weight of the person on the moon will be 1.67/kg
because accel. due to gravity on moon is 1/6th that of the earth.
2007-03-16 09:48:22 · answer #3 · answered by PCMCPPE 1 · 0⤊ 0⤋
weight of the person on earth(in newtons)=540n
g=9.8n/m(square)
we know w=mg =>m=w/g
m=540/9.8
=>5400/98=55.1020408kg is the mass
similarly we know mass is constant
so applying w=mg again
given m=55.1020408Kg, g=1.67n/kg
so w=mg
1.67 x 55.1020408=92.020040813n
2007-03-16 09:55:12 · answer #4 · answered by vinay m 1 · 0⤊ 0⤋