When you lift a bowling ball with a force of 71.6 N, the ball accelerates upward with an acceleration a. If you lift with a force of 82.3 N,

Question

When you lift a bowling ball with a force of 71.6 N, the ball accelerates upward with an acceleration a. If you lift with a force of 82.3 N, the ball’s acceleration is 1.91a. Calculate the weight of the bowling ball.

in progress 0
Nguyệt Ánh 1 year 2021-09-01T22:39:10+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-09-01T22:40:44+00:00

    Answer:

    59.84 N

    Explanation:

    The net force is responsible for the upward acceleration of the bowling ball.

    The net force acting on a body accelerates the body in the same direction as that in which the resultant is applied.

    Net force = ma

    ma = F – mg

    In the first case,

    F = 71.6 N, a = a m/s²

    ma = 71.6 – mg (eqn 1)

    In the second case,

    F = 82.3 N, a = 1.91a m/s²

    m(1.91a) = 82.3 – mg

    1.91 ma = 82.3 – mg (eqn 2)

    Substitute for ma in (eqn 2)

    1.91 (71.6 – mg) = 82.3 – mg

    136.756 – 1.91 mg = 82.3 – mg

    136.756 – 82.3 = 1.91 mg – mg

    0.91 mg = 54.456

    mg = 54.456/0.91

    mg = 59.84 N

    Hence, the weight of the bowling ball = 59.84 N

    Hope this Helps!!!

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )