Mechanics11/Seite9/Loesung3.4

a)   a = $$\frac{v}{t}$$

daraus folgt:

a = $$\frac{45 m/s}{30s}$$ = 1.5 $$\frac{m}{s^2}$$

b)    F = a*m

daraus folgt:

m = $$\frac{F}{a}$$ = $$\frac{1000 N}{1.5 m/s^2}$$ = 666.7 kg

c)

m' = 1.5 * m = 666.7 kg * 1.5 = 1000 kg

a = $$\frac{F}{m}$$ = $$\frac{1000 N}{1000 kg}$$ = 1.0 $$\frac{m}{s^2}$$

v = a*t = 1.0 $$\frac{m}{s^2}$$ * 30s = 30 $$\frac{m}{s}$$

Schülerlösung
geg: t=30s F=1000N  v = 45 m/s

a) ges: a

v = a * t

a = $$\frac {v}{t}$$

a = $$\frac {45m/s}{30s}$$

a = 1,5 $$\frac {m}{s^2}$$

b) ges: m

F = m * a

m = $$\frac {F}{a}$$

m = $$\frac {1000}{1,5m/s^2}$$

m = 666,66kg = 0,67t

c)

a = $$\frac {F}{m}$$

v = a * t = $$\frac{F}{m}$$ * t

v = $$\frac {1000N}{1,5 * 667kg}$$ * 30s = 29,985 m/s

von Natalia Dobrzycka 11B