Ask Question
25 November, 01:21

A luge and its rider, with a total mass of 85 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 37 m/s. If a force slows them to a stop at a constant rate of 2.0 m/s2, (a) what magnitude F is required for the force, (b) what distance d do they travel while slowing, and (c) what work W is done on them by the force

+1
Answers (1)
  1. 25 November, 04:24
    0
    a) 170N b) 342.25m c) 58.2KJ

    Explanation:

    a) magnitude F required for the force can be gotten using the Newton's second law of motion.

    Force = mass * acceleration

    Given mass = 85kg

    acceleration = 2.0m/s²

    Force = 85*2

    Force = 170N

    Magnitude of force required is therefore 170N

    b) To get the distance d at which they travel, we will use the equation of motion;

    v² = u²+2ad where

    v is the final velocity = 0m/s

    u is the initial velocity = 37m/s

    a is the acceleration = - 2m/s² (since the body is slowing down while travelling)

    d is the distance travelled while slowing

    Substituting the values given into the formula we will have;

    0² = 37²-2 (2) d

    -37² = - 4d

    d = 342.25m

    c) Work done on them by the force can be calculated using the formula;

    Work done = Force * Distance

    Work done = 170*342.25

    Work done = 58,182.5Joules

    = 58.2KJ
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A luge and its rider, with a total mass of 85 kg, emerge from a downhill track onto a horizontal straight track with an initial speed of 37 ...” in 📘 Physics 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