Ask Question
29 March, 05:52

A 3.7 g mass is released from rest at C which has a height of 1.1 m above the base of a loop-the-loop and a radius of 0.2 m. The acceleration of gravity is 9.8 m/s 2. 1.1 m 0.2 m B D C A 3.7 g Find the normal force pressing on the track at A, where A is at the same level as the center of the loop. Answer in units of N.

+1
Answers (1)
  1. 29 March, 09:43
    0
    Normal force = 0.326N

    Explanation:

    Given that:

    mass released from rest at C = 3.7 g = 3.7 * 10⁻³ kg

    height of the mass = 1.1 m

    radius = 0.2 m

    acceleration due to gravity = 9.8 m/s²

    We are to determine the normal force pressing on the track at A.

    To to that;

    Let consider the conservation of energy relation; which says:

    mgh = mgr + 1/2 mv²

    gh = gr + 1/2 v²

    gh - gr = 1/2v²

    g (h-r) = 1/2v²

    v² = 2g (h-r)

    However; the normal force will result to a centripetal force; as such, using the relation

    N = mv²/r

    replacing the value for v² = 2g (h-r) in the above relation; we have:

    Normal force = 2mg (h-r) / r

    Normal force = 2 * 3.7 * 10⁻³ * 9.8 (1.1 - 0.2) / 0.2

    Normal force = 0.065268/0.2

    Normal force = 0.32634 N

    Normal force = 0.326N
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A 3.7 g mass is released from rest at C which has a height of 1.1 m above the base of a loop-the-loop and a radius of 0.2 m. The ...” in 📘 Engineering if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers