# 2003 AP physics mechanics problem

In summary, the conversation is about a mechanics problem on the 2003 AP Physics C exam, involving a box being pulled along a rough surface. The position of the box is given by the equation x=.5t^3+2t, and the problem asks for the speed of the box at time t=0, as well as determining the kinetic energy, net force, power, and net work on the box over a given time interval. The conversation includes a discussion of finding the velocity and acceleration, as well as confusion about finding the power and net work. The conversation ends with a clarification on how to post a new topic.
[SOLVED] 2003 AP physics mechanics problem

Can someone help me figure out the first mechanics problem on the 2003 AP Physics C exam? I'm doing this for review. See post #3 for what I have so far.

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Here it is if you don't like clicking links:The 100kg box shown above is being pulled along the x-axis by a student. The box slides across a rough surface, and its position x varies with time according to the equation x=.5t^3+2t, where x is in meters and t is in seconds.
a. Determine the speed of the box at time t=0.
b. Determine the following as a function of time t.
i) The kinetic energy of the box
ii) The net force acting on the box
iii) The power being delivered to the box
c. Calculate the net work done on the box in the interval t=0 to t=2s.
d) Indicate below whether the work done on the box by the student in the interval t=0 to t=2s would be greater, less than, or equal to the answer in part c).

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For the first one, find the dx/dt for velocity, find dv/dt for acceleration. Kinetic Energy of box is (1/2)*m*v^2. The net force is the mass of the object times the derived acceleration. The net work is equal to Delta KE, with the initial Kinetic Energy taken at time t=0 (the initial value would be a Constant); Just find dKE/dt and you find the power (it should come down to F*v).

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Here's what I have so far:
dx/dt=1.5t^2+2
dv/dt=3t

a) just plug in 0 for t to find a?
b)
i. 1/2(100kg)(velocity found in a)^2
ii. (100kg)*(3t)
iii. I don't understand. I have to find net work in c, so how can I use that to find delta KE to ultimately find power?
c) Don't understand.
d) once I get b)iii and c) this will be easy.

a is right. For b, i. and ii. are right. For iii., P = F*v. Just multiply the derived velocity with the net force you found in ii. For c), the net work is basically equal to the change in kinetic energy. Your initial Kinetic Energy should have a velocity when t = 0s and your final Kinetic Energy should have a velocity when t = 2s. For d), its asking you whether the work done on the box by student would be larger than the net work, in which the net work includes the effect of friction.

Amaroq Zev, above the list of all the topics, there should be a "New Topic" label. Just click on that to make your post.

## 1. What is the "2003 AP physics mechanics problem"?

The "2003 AP physics mechanics problem" refers to a specific question from the 2003 Advanced Placement (AP) Physics Mechanics exam, which is a standardized test that assesses students' understanding of introductory physics concepts.

## 2. What is the purpose of the "2003 AP physics mechanics problem"?

The purpose of the "2003 AP physics mechanics problem" is to test students' knowledge and application of fundamental principles in mechanics, such as Newton's laws of motion and conservation of energy.

## 3. How difficult is the "2003 AP physics mechanics problem"?

The difficulty of the "2003 AP physics mechanics problem" can vary depending on the individual student's level of preparation and understanding of the subject matter. However, as it is from an AP exam, it is generally considered to be a challenging problem that requires a strong understanding of physics concepts and problem-solving skills.

## 4. Can you provide an example of the "2003 AP physics mechanics problem"?

Unfortunately, as a scientist, I do not have access to the specific questions from past AP exams. However, there are many resources available online that provide practice questions and past exams for students to prepare for the AP Physics Mechanics exam.

## 5. How can I prepare for the "2003 AP physics mechanics problem"?

To prepare for the "2003 AP physics mechanics problem" or any other AP Physics Mechanics question, it is important to have a strong understanding of the fundamental principles and equations in mechanics. Practice problems and past exams can also be helpful in familiarizing yourself with the format and types of questions that may be asked. It is also beneficial to review and practice problem-solving strategies, such as identifying known and unknown variables, drawing diagrams, and using appropriate equations to solve problems.

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