9.8 Universal gravitation Imagine that you launch a cannonball straight out of a cannon; it goes a bit, then lands. What happens if you shoot it with a bit more velocity? What if you shoot it really fast? You could shoot it Continue Reading
12.2 Projectile motion A projectile is any object that is thrown or launched. As with 1D kinematics problems, we’re not concerned with what caused the object to be launched, or how it was launched in the first place. All we Continue Reading
12.1 One-dimensional kinematics 12.1.1 Free Fall 12.1.2 Problem solving steps As with any physics problem, you should always start by drawing a picture. For kinematics problems, we tend to have lots of variables to keep track of— it is very Continue Reading
9.3 Types of forces In the classical model of physics, we describe many different forces depending on what things are interacting. A few of these forces have a distinct mathematical expression. Weight is the force of gravity of the Earth Continue Reading
11.4 Problem solving The process for solving problems with torque is nearly identical to the process for solving problems with force (see section 9.4). However, instead of a free body diagram—which represents the system as a single point—we’ll use an Continue Reading
11.3 Center of mass Try to hold a meterstick from any random spot, and it will probably fall due to the force of gravity pulling on it—gravity applies a torque. However, if you hold it in one particular location, it Continue Reading
11.2 Newton’s laws, applied to rotation As we have seen throughout this entire course, physical quantities dealing with translational motion tend to have analogous counterparts for rotation. We can think of two of Newton’s laws in terms of rotation: Inertia: Continue Reading
If you are attempting to push open a door, you do not push on it right next to the hinges. Even if you push with equal force near to the hinges, and then far from the hinges, you’ll find the Continue Reading
9.7 Circular motion Newton’s first law (inertia) tells us that an object’s velocity will only change if the object is acted upon by some force. Velocity is a vector—both magnitude and direction are important. Therefore, your velocity can be changing, Continue Reading
9.6 Inclined planes Example Example example Practice