AP Physics 1 Unit 2: Force and Translational Dynamics

A $1500\text{kg}$ car rounds a flat (unbanked) curve of radius $50\text{m}$ at $15\text{m/s}$. What is the minimum coefficient of friction needed to keep the car on the curve? (Take $g=10{\text{m/s}}^2$.)

A $4.0\text{kg}$ box experiences three horizontal forces: $10\text{N}$ east, $6.0\text{N}$ west, and $4.0\text{N}$ east. What is the box's acceleration?

Two masses, $m_1=2.0\text{kg}$ and $m_2=3.0\text{kg}$, are connected by a massless string over a frictionless pulley (Atwood machine). With $g=10{\text{m/s}}^2$, what is the magnitude of acceleration of the system?

Two blocks of masses $3.0\text{kg}$ and $5.0\text{kg}$ are in contact on a frictionless surface. A horizontal force of $24\text{N}$ is applied to the $3.0\text{kg}$ block, pushing both. What is the contact force between the blocks?

A $5.0\text{kg}$ block on a frictionless horizontal surface is pulled by a horizontal force of $20\text{N}$. What is the block's acceleration?

An object hangs from a spring scale inside an elevator. When the elevator is at rest the scale reads $50\text{N}$. When the elevator accelerates upward at $2.0{\text{m/s}}^2$ (with $g=10{\text{m/s}}^2$), what does the scale read?

A block slides at constant velocity down an inclined plane making angle $\theta$ with the horizontal. What is the coefficient of kinetic friction between the block and the surface?

A $2.0\text{kg}$ block sits on a horizontal surface with coefficient of static friction ${\mu }_s=0.40$. Taking $g=10{\text{m/s}}^2$, what is the maximum horizontal force that can be applied without the block sliding?