Answers

2014-01-27T22:07:58+08:00
Given:
a_1 = 2 m/s²
m_1 = 1kg
a_2 = 8 m/s²
Required:
a. F_1
b. m_2

a. Considering that it was not mentioned what the value of F_1 is, we'll have to solve for it first using the second law (F = ma).

F_1 = (m_1)(a_1)
F_1 = (1 kg)(2 m/s²)
F_1 = 2 kgm/s²


b. Since it was explicitly mentioned that F_1 = F_2, we'll use the information we just got to solve for F_2.
F_1 = F_2
(m_1)(a_1) = (m_2)(a_2)
2kgm/s² = (m_2)(8 m/s²)
Dividing both sides by 8 m/s²:

(2kgm/s²) / (8 m/s²) = m_2
Switching sides and canceling units, we get:
m_2 = 0.25 kg

I hope this helped.



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