Answer to Question #84911 in Mechanics | Relativity for Heaven

Question

How large a mass will 32 N accelerate at the same rate achieved by 13 N acting one 8.3 kg?

Answer 1

Let's first find the acceleration produced by

$$13 N$$

force acting on

$$8.3 kg$$

mass:

$$a = \frac{F}{m} = \frac{13 N}{8.3 kg} = 1.56 \frac{m}{s^2}.$$

Finally, we can find the mass that will accelerate by

$$32 N$$

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

$$m = \frac{F}{a} = \frac{32 N}{1.56 \frac{m}{s^2}} = 20.5 kg.$$

Answer:

$$m = 20.5 kg$$

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