1. If the inclinations of the planes on both sides are equal, the marble will cover the same horizontal distance on each side, assuming no friction or air resistance. It will reach the same height on the opposite side from which it was released.

    If the inclinations of the planes on both sides are equal, the marble will cover the same horizontal distance on each side, assuming no friction or air resistance. It will reach the same height on the opposite side from which it was released.

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  2. According to Galileo, when released from the left side of an ideal frictionless plane inclined on both sides, the marble would roll down the slope, cross the bottom point, and ascend to the same height on the opposite side from which it started.

    According to Galileo, when released from the left side of an ideal frictionless plane inclined on both sides, the marble would roll down the slope, cross the bottom point, and ascend to the same height on the opposite side from which it started.

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  3. As a marble rolls down an inclined plane, its velocity increases due to the gravitational force pulling it downhill. The slope allows gravitational potential energy to convert into kinetic energy, accelerating the marble.

    As a marble rolls down an inclined plane, its velocity increases due to the gravitational force pulling it downhill. The slope allows gravitational potential energy to convert into kinetic energy, accelerating the marble.

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  4. As the right-side plane's slope is gradually decreased, the marble travels a longer horizontal distance before coming to rest. This occurs because the reduced slope decreases the vertical component of gravitational force, thereby reducing the marble's potential energy conversion into kinetic energy.

    As the right-side plane’s slope is gradually decreased, the marble travels a longer horizontal distance before coming to rest. This occurs because the reduced slope decreases the vertical component of gravitational force, thereby reducing the marble’s potential energy conversion into kinetic energy.

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  5. The box still does not move even when the children push harder because the force they apply is not enough to overcome the static friction between the box and the ground. Static friction resists the initial motion of the box.

    The box still does not move even when the children push harder because the force they apply is not enough to overcome the static friction between the box and the ground. Static friction resists the initial motion of the box.

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