Physics

posted by .

A crate of mass 43 kg is loaded onto the back of a flatbed truck. The coefficient of static friction between the box and the truck bed is 0.47. What is the maximum acceleration a (in m/s2) the truck can have without the crate sliding off?

  • Physics -

    Draw a picture and label the forces to better understand the question.

    Sum the forces in the x direction since its asking for acceleration (motion is usually in x direction so you're being asked to find a_x (x- axis).

    Sum of F_x = ma_x

    The only force on x axis is static friction (mu_s) pointing toward the box in a direction that will keep it from sliding as the truck moves.

    so,

    mu_s = ma_x

    we know that mu*N = static friction

    so solve for normal force by summing forces on Y axis = N - mg =0 (no acceleration on Y axis)

    N = mg

    Finally,

    mu_S (mg) = ma_x

    solve for a_x. notice that masses cancel

    thus:

    mu_S*g = a_x

    Final answer: 4.61

    Hope that wasn't too confusing. If you can draw/label the diagram properly you can solve it properly too! :)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. physics

    A crate of mass 97 kg is loaded onto the back of a flatbed truck. The coefficient of static friction between the box and the truck bed is 0.26. What is the smallest radius of curvature (in m) that the truck can take, if the speed with …
  2. physics

    A crate of mass 45.0 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the truck's flatbed is 0.360, and the coefficient of kinetic friction is 0.160. (a) The truck accelerates …
  3. Physics URGENT!!!

    A crate of mass 52.8 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.351, and the coefficient of kinetic friction is 0.305. (a) The truck accelerates …
  4. Physics HELP!

    A crate of mass 52.8 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.351, and the coefficient of kinetic friction is 0.305. (a) The truck accelerates …
  5. Physics- Elena please help!

    A crate of mass 52.8 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.351, and the coefficient of kinetic friction is 0.305. (a) The truck accelerates …
  6. physics

    A crate of mass 59.3 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.357, and the coefficient of kinetic friction is 0.304. (a) The truck accelerates …
  7. physics

    A crate of mass 55.6 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.330, and the coefficient of kinetic friction is 0.320. (a) The truck accelerates …
  8. physics

    A crate of mass 55.6 kg is being transported on the flatbed of a pickup truck. The coefficient of static friction between the crate and the trucks flatbed is 0.330, and the coefficient of kinetic friction is 0.320. (b) The truck barely …
  9. physics

    A crate of mass 96 kg is loaded onto the back of a flatbed truck. The coefficient of static friction between the box and the truck bed is 0.14. What is the smallest radius of curvature, R, the truck can take, if the speed with which …
  10. physics

    A crate of mass 132 kg is loaded onto the back of a flatbed truck. The coefficient of static friction between the box and the truck bed is 0.22. What is the smallest radius of curvature that the truck can take without the crate slipping, …

More Similar Questions