Question

what happens if you use the same force but double the mass?
acceleration doubles
acceleration is cut in half
acceleration stays the same
acceleration becomes zero

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(F = ma\), where \(F\) is force, \(m\) is mass, and \(a\) is acceleration. We can express acceleration as \(a=\frac{F}{m}\).

Step2: Analyze the case when mass is doubled

Let the initial mass be \(m_1 = m\), initial acceleration be \(a_1=\frac{F}{m}\). When the mass is doubled, \(m_2 = 2m\). Then the new acceleration \(a_2=\frac{F}{m_2}\). Substitute \(m_2 = 2m\) into the formula, we get \(a_2=\frac{F}{2m}\).

Step3: Compare the initial and new acceleration

Since \(a_1=\frac{F}{m}\) and \(a_2=\frac{F}{2m}\), we can see that \(a_2=\frac{1}{2}a_1\).

Answer:

Acceleration is cut in half