Physics
Physics
Problem
A block is released from rest from the top of a smooth, arbitrarily curved downward track of net vertical height m. Using m/s2, calculate the final speed of the block in m/s precisely at the moment it reaches the bottom horizontal level. *(Answer as an integer).*Intuitive explanation
The key insight is that on a frictionless track, the shape doesn't matter—only the vertical drop matters. Energy is conserved: the gravitational potential energy you lose equals the kinetic energy you gain. Set , cancel mass, and solve for using the given height and gravity. This is why roller coasters with different curves but same starting height produce the same final speed.
Intuitive explanation
The key insight is that on a frictionless track, the shape doesn't matter—only the vertical drop matters. Energy is conserved: the gravitational potential energy you lose equals the kinetic energy you gain. Set , cancel mass, and solve for using the given height and gravity. This is why roller coasters with different curves but same starting height produce the same final speed.