Ask Question
3 August, 02:30

A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 93.1 kg. The mass of the rock is 0.292 kg. Initially the wagon is rolling forward at a speed of 0.456 m/s. Then the person throws the rock with a speed of 15.4 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown (a) directly forward in one case and (b) directly backward in another.

+1
Answers (1)
  1. 3 August, 02:52
    0
    a) 0.41 m/s

    b) 0.51 m/s

    Explanation:

    (a)

    M = total mass of wagon, rider and the rock = 93.1 kg

    V = initial velocity of wagon = 0.456 m/s

    m = mass of the rock = 0.292 kg

    v = velocity of rock after throw = 15.4 m/s

    V' = velocity of wagon after rock is thrown

    Using conservation of momentum

    M V = m v + (M - m) V'

    (93.1) (0.456) = (0.292) (15.4) + (93.1 - 0.292) V'

    V' = 0.41 m/s

    b)

    M = total mass of wagon, rider and the rock = 93.1 kg

    V = initial velocity of wagon = 0.456 m/s

    m = mass of the rock = 0.292 kg

    v = velocity of rock after throw = - 15.4 m/s

    V' = velocity of wagon after rock is thrown

    Using conservation of momentum

    M V = m v + (M - m) V'

    (93.1) (0.456) = (0.292) ( - 15.4) + (93.1 - 0.292) V'

    V' = 0.51 m/s
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of ...” 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