A ball with a mass of 2 kg is swinging in a horizontal circle of radius 20 cm. If thestring can sustain a maximum tension (T) of 500 N, what

Question

A ball with a mass of 2 kg is swinging in a horizontal circle of radius 20 cm. If thestring can sustain a maximum tension (T) of 500 N, what is the maximum speed theball can reach before the string breaks

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Ngọc Khuê 4 years 2021-08-16T03:15:26+00:00 2 Answers 40 views 0

Answers ( )

  1. quangkhai
    0
    2021-08-16T03:16:26+00:00
    Reply

    Answer:

    7.07 m/s

    Explanation:

    We are given that

    Mass of ball,m=2 kg

    Radius of circle,r=20 cm=20\times 10^{-2} m

    1 m=100 cm

    Maximum tension,T=500 N

    We have to find the maximum speed of the ball can reach before the string breaks.

    Tension,T=\frac{mv^2}{r}

    Using the formula

    500=\frac{2\times v^2}{20\times 10^{-2}}

    v^2=\frac{500\times 20\times 10^{-2}}{2}

    v=\sqrt{\frac{500\times 20\times 10^{-2}}{2}

    v=7.07 m/s

  2. phucdien
    0
    2021-08-16T03:17:25+00:00
    Reply

    Answer:

    Explanation:

    mass of ball, m = 2 kg

    Radius of circle, r = 20 cm = 02 m

    Tension, T = 500 N

    Let the maximum speed is v.

    The centripetal force provides the tension.

    T = \frac{mv^{2}}{r}

    500= \frac{2v^{2}}{0.2}

    v² = 50

    v = 7.07 m/s

    Thus, the maximum speed is 7.07 m/s.

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