Question

1. if i am pushing on two objects with the same mass, whichever object i apply greater force to will have greater acceleration.
2. if i am pushing two objects and i want them to accelerate at the same rate, whichever object has the greater mass, will require force.
3. if i am pushing two objects with the same amount of force, whichever object has less mass will show acceleration.

Explanation:

Step1: Use Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration)

For the first question, given \(m_1=m_2\) (same mass), from \(a=\frac{F}{m}\), if \(F_1 > F_2\), then \(a_1=\frac{F_1}{m}>a_2=\frac{F_2}{m}\)

Step2: For the second question, given \(a_1 = a_2\) (same acceleration), from \(F=ma\), if \(m_1>m_2\), then \(F_1=m_1a>F_2=m_2a\)

Step3: For the third question, given \(F_1 = F_2\) (same force), from \(a=\frac{F}{m}\), if \(m_1a_2=\frac{F}{m_2}\)

Answer:

1. greater
2. greater
3. greater