Mechanics11/Seite9/Loesung3.4
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< Mechanics11 | Seite9
a) a = [math]\frac{v}{t}[/math]
daraus folgt:
a = [math]\frac{45 m/s}{30s}[/math] = 1.5 [math]\frac{m}{s^2}[/math]
b) F = a*m
daraus folgt:
m = [math]\frac{F}{a}[/math] = [math]\frac{1000 N}{1.5 m/s^2}[/math] = 666.7 kg
c)
m' = 1.5 * m = 666.7 kg * 1.5 = 1000 kg
a = [math]\frac{F}{m}[/math] = [math]\frac{1000 N}{1000 kg}[/math] = 1.0 [math]\frac{m}{s^2}[/math]
v = a*t = 1.0 [math]\frac{m}{s^2}[/math] * 30s = 30 [math]\frac{m}{s}[/math]
Schülerlösung
geg: t=30s F=1000N v = 45 m/s
a) ges: a
v = a * t
a = [math]\frac {v}{t}[/math]
a = [math]\frac {45m/s}{30s}[/math]
a = 1,5 [math]\frac {m}{s^2}[/math]
b) ges: m
F = m * a
m = [math]\frac {F}{a}[/math]
m = [math]\frac {1000}{1,5m/s^2}[/math]
m = 666,66kg = 0,67t
c)
a = [math]\frac {F}{m}[/math]
v = a * t = [math]\frac{F}{m}[/math] * t
v = [math]\frac {1000N}{1,5 * 667kg}[/math] * 30s = 29,985 m/s
von Natalia Dobrzycka 11B