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title: "Two blocks with masses \\(m_1\\) and \\(m_2\\) are in contact and placed on a frictionless ramp inclined at an angle \\(\\theta\\) above the horizontal. A constant external force of magnitude \\(F\\) is applied to block \\(m_1\\) in a direction parallel to the ramp, as shown in the figure, causing both blocks to accelerate up the incline. Which of the following is a correct expression for the magnitude of the contact force exerted by block \\(m_1\\) on block \\(m_2\\)?"
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url: "https://nerd-notes.com/ubq/114486/"
date_modified: "2026-07-03T04:36:59+00:00"
---

# Two blocks with masses \(m_1\) and \(m_2\) are in contact and placed on a frictionless ramp inclined at an angle \(\theta\) above the horizontal. A constant external force of magnitude \(F\) is applied to block \(m_1\) in a direction parallel to the ramp, as shown in the figure, causing both blocks to accelerate up the incline. Which of the following is a correct expression for the magnitude of the contact force exerted by block \(m_1\) on block \(m_2\)?

Two blocks with masses \(m_1\) and \(m_2\) are in contact and placed on a frictionless ramp inclined at an angle \(\theta\) above the horizontal. A constant external force of magnitude \(F\) is applied to block \(m_1\) in a direction parallel to the ramp, as shown in the figure, causing both blocks to accelerate up the incline. Which of the following is a correct expression for the magnitude of the contact force exerted by block \(m_1\) on block \(m_2\)?

![A ramp forms an angle theta with the horizontal. Two blocks, labeled m1 and m2, are in contact on the ramp's surface. Block m1 is lower on the ramp than m2. A large arrow labeled F points up the ramp, pushing against the bottom face of block m1.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1783053419-xumBBA.jpg)

- **A.** \(\dfrac{m_2 F}{m_1 + m_2}\)
- **B.** \(\dfrac{m_2 F}{m_1 + m_2} - m_2 g \sin\theta\)
- **C.** \(\dfrac{m_2 F}{m_1 + m_2} + m_2 g \sin\theta\)
- **D.** \(\dfrac{m_1 F}{m_1 + m_2}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114486/*