Problems 35, 36, 37, 38, 39, and 40 show a free-body diagram. For each: a. Identify the direction of the acceleration vector a and show it as a vector next to your diagram. Or, if appropriate, write a = 0.

Video transcript

Hey, everyone in this problem, we have a diagram that's the free body diagram of a block. We're asked to determine the direction of the acceleration vector and to label it on this image, we can use a equals zero if the block is not accelerate. So we have the free body diagram, we're getting, we have a normal force pointing upwards, a force of gravity pointing downwards, a kinetic friction force F K pointing to the left. And the free body diagram tells us that the net force F net is pointing to the right now, we're given four answer choices. Option A, the acceleration is zero. Option B the acceleration is directed to the right. Option C the acceleration is directed to the left and option D, the acceleration is directed downwards. Now, the key to this free body diagram that we want to pay attention to is the net force F net. Mhm Recall from Newton's second law that our net force F net is going to be equal to the mass multiplied by the acceleration. So if F net is pointing to the right and our acceleration must be pointing in the same direction. OK. F net and A are gonna have the same sign since the mass is always going to be positive. OK. So a net pointing to the right tells us that the acceleration points to the right as well. And so the acceleration in this case is going to be directed to the right which corresponds with answer choice B. That's it for this one. Thanks everyone for watching. See you in the next video.