A warehouse worker pushes a 10 kilogram crate along the frictionless floor, as shown in the figure,by a force of 10 Newtons that points downward at an angle of 40 degrees below the horizontal.

A. (10 points) Draw a free-body diagram for the crate.

B. (10 points) Find the acceleration of the crate.

Raw Transcript

Hello, Tom from everystepphysics.com and everystepcalculus.com. Physics problem off of a test. A warehouse worker pushes a 10 kilogram crate along the frictionless floor, as shown in the figure,by a force of 10 Newtons that points downward at an angle of 40 degrees below the horizontal.A for 10 points, draw a free-body diagram for the crate. B for 10 points, find the accelerationof the crate. So let’s do what my programs can do. Physics to get to my menu. Choose number 2, acceleration, because that’s what the problem asks for. We’re going to scroll down, you have to get a little practice of it because there’s many menus down here for choices and stuff. So you have to practice with my programs more than you practice with the sample tests given by the professor, or the book itself, or anything. So what’s given? What’s given is mass, the angle, and the force. And newtons. Not the friction force but the, the force, okay. We’re going to choose that. Press alpha before you enter anything into the entry lines, here. Alpha mass is given at 10 kilograms. 10 kilograms. The force is given too. Alpha 10 newtons. Angle is given at alpha 40 degrees. I always show you what you’ve entered, you can change it if you want. I say it’s okay. Here’s the formula for acceleration. The force times cosine of theta minus mg times the sine of theta, the whole thing divided by mass. Here’s the calculations all entered into that formula. Here’s the answer minus 5.5397 meters per second squared. With regard to the free body diagram. I’ll just say a couple things about that or a few things. The arrow points straight down always perpendicular to the horizontal is called the gravity force. The horizontal force is the arrow to the exact right along the horizontal. It’s called the horizontal force. The arrow pointing left which you would draw on this box and that is, that is the friction force. And the arrow pointing straight up is called a normal force. The arrow with the ten newtons is called the applied force. So you write that down, you get 10 points on your problem, on your test. And you’re going to pass that class or it’ll certainly help to pass the class. Have a good one.

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