Question

Notify Me Bookmark

(1) (5pt) For the situation above, assume the coefficients of static and kinetic friction are μ = 0.200, and the block's mass is m = 2.00 kg. The block is on the floor at the Earth's surface. a. Draw a free body diagram for the block showing all the forces. (2pt) b. Write two equations force equations (Newton's 1st and 2nd Laws) for the vertical and horizontal directions. (2pt) c. Find the block's acceleration. (3pt) d. Assume the block is initially at rest. How long does it take for the block to go 10.0 m? (3pt)

(1) (5pt) For the situation above, assume the coefficients of static and kinetic friction are μ = 0.200, and the block's mass is m = 2.00 kg. The block is on the floor at the Earth's surface. a. Draw a free body diagram for the block showing all the forces. (2pt) b. Write two equations force equations (Newton's 1st and 2nd Laws) for the vertical and horizontal directions. (2pt) c. Find the block's acceleration. (3pt) d. Assume the block is initially at rest. How long does it take for the block to go 10.0 m? (3pt)

Image text
(1) (5pt) For the situation above, assume the coefficients of static and kinetic friction are μ = 0.200 , and the block's mass is m = 2.00 kg . The block is on the floor at the Earth's surface. a. Draw a free body diagram for the block showing all the forces. (2pt) b. Write two equations force equations (Newton's 1 st and 2 nd Laws) for the vertical and horizontal directions. (2pt) c. Find the block's acceleration. (3pt) d. Assume the block is initially at rest. How long does it take for the block to go 10.0 m ? (3pt)

Detailed Answer

1 0

Please enter your email here. You will get email when this question is answered by our tutor.

Answer
Doubtrix Logo

This Problem has been solved!

You'll get a detailed, step-by-step and expert verified solution.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Login Sign Up
  • Student Reviews:
  • (1)
  • Correct answers (1)
  • Complete solution (1)
  • Step-by-step solution (1)
  • Fully explained (1)

Similar/Related Questions

A box is on a rough surface that is inclined at an angle of 30.0∘ to the horizontal. A mass, m1 = 0.270 kg, is attached to a hanging mass of m2 = 105 g over an ideal pulley. a. Draw two free-body diagrams, one for each mass, showing all forces acting on them and chosen direction of motion. b. What is the value of μ that allows the block to slide down the incline at constant speed? Blank 1 c. The incline is then greased to remove the friction and the masses released again from rest. Find the tension in the string, in Newtons, Blank 2 and the acceleration of the box, in m/s2. Blank 3 d. How long, in seconds, does it take the box to slide a distance of 1.40 m along the incline? Blank 4 For this problem, SHOW ALL WORK including a free-body diagram of forces on each mass shown in the drawing below. The direction of accelerations should be clearly indicated on the sketch. Show all equations used before entering numbers. This problem should be well-structured. DO NOT ENTER UNITS WITH ANSWERS.
Solution
0 0

Consider two blocks M1 on top of M2 on a level table. There is no friction between block M2 and the table, but there is friction between block M1 and block M2. Denote the coefficients of static and kinetic friction between the blocks as μs and μk, respectively. The applied force F is applied to block M1 at an angle θ below the horizontal. The blocks start from rest. First, we will consider the situation where F is small enough that the two blocks stick together. (a) Draw free-body diagrams for the two masses. Be sure to label all forces and the direction of the accelerations. Also be sure to define an appropriate coordinate system for each free-body diagram. (b) Write down the Newton's second law equations for each block and each dimension (x and y). (c) Write down an inequality relating the force of friction and the normal force. (d) Identify the two Newton's third law pairs - i. e. the pairs of forces between the two blocks that are equal and opposite. (e) Find the acceleration of the blocks as a function of F, θ, M1, M2, g, μs, and μk. (You don't have to use all of these, but you will use at most these. ) (f) Find a condition on F such that the blocks stick together. i. e. Write an inequality in the form F ≤ Fmax for the blocks to stick together where Fmax is in terms of θ, M1, M2, g, μs, and μk.
Solution
0 0

A spring with a spring constant of k = 161 N/m is initially compressed by a block a distance d = 0.33 m from its unstretched length. The block is on a horizontal surface with coefficients of static and kinetic friction μs and μk and has a mass of m = 10 kg. Refer to the figure. Part (a) The block is released from the initial position and begins to move to the right. Enter an expression for the sum of the forces in the x-direction in the configuration shown above, in terms of defined quantities and g. Part (b) Calculate the smallest value for the coefficient of static friction μs that would keep the block from moving. Part (c) Assuming the block has just begun to move and the coefficient of kinetic friction is μk = 0.2, what is the block's acceleration in meters per second squared? a =
Solution
0 0