Answer to Question #84911 in Mechanics | Relativity for Heaven

Question #84911
How large a mass will 32 N accelerate at the same rate achieved by 13 N acting one 8.3 kg?
1
Expert's answer
2019-02-06T12:52:03-0500

Let's first find the acceleration produced by

13N13 N

force acting on

8.3kg8.3 kg

mass:

a=Fm=13N8.3kg=1.56ms2.a = \frac{F}{m} = \frac{13 N}{8.3 kg} = 1.56 \frac{m}{s^2}.

Finally, we can find the mass that will accelerate by

32N32 N

force acting at the same rate achieved by 13 N acting one 8.3 kg:

m=Fa=32N1.56ms2=20.5kg.m = \frac{F}{a} = \frac{32 N}{1.56 \frac{m}{s^2}} = 20.5 kg.

Answer:

m=20.5kgm = 20.5 kg

.

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