Ask Question
25 May, 05:39

When you lift a bowling ball with a force of 61.1 N, the ball accelerates upward with an acceleration a. If you lift with a force of 70.9 N, the ball's acceleration is 2.07a. Calculate the weight of the bowling ball.

+5
Answers (1)
  1. 25 May, 05:43
    0
    the weight of the ball is w = 51.94 N (mass = 5.3 kg)

    Explanation:

    Following Newton's second law:

    net force = mass * acceleration = weight/gravity * acceleration

    then denoting 1 and 2 as the first and second lift

    F₁ - w = w/g * a₁

    F₂ - w = w/g * a₂ = w/g * 2.07a

    dividing both equations

    (F₂ - w) / (F₁ - w) = 2.07

    (F₂ - w) = 2.07 * (F₁ - w)

    1.07*w = 2.07*F₁ - F₂

    w = (2.07*F₁ - F₂) / 1.07

    replacing values

    w = (2.07*61.1 N - 70.9 N) / 1.07 = 51.94 N

    then the weight of the ball is w = 51.94 N (mass = 5.3 kg)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “When you lift a bowling ball with a force of 61.1 N, the ball accelerates upward with an acceleration a. If you lift with a force of 70.9 ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers