Question

Шар скатывается с наклонной плоскости высотой 90 см. Какую линейную скорость будет иметь центр шара в тот момент, когда шар скатится с наклонной плоскости?

Answer 1

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Answer 2

Calculating the Linear Velocity of a Rolling Sphere

To calculate the linear velocity of a sphere rolling down an inclined plane, we can use the principle of conservation of energy. The potential energy at the top of the incline is converted into kinetic energy at the bottom, allowing us to find the linear velocity of the sphere.

Given Information

The height of the inclined plane (h) is 90 cm.

Calculation

The linear velocity (v) of the sphere at the bottom of the incline can be calculated using the following formula:

v = √(2gh)

Where: - v = linear velocity - g = acceleration due to gravity (approximately 9.81 m/s^2) - h = height of the inclined plane

Substituting the given value of h into the formula: v = √(2 * 9.81 * 0.9)

Result

Calculating the value: v ≈ 4.2 m/s

Therefore, the linear velocity of the center of the sphere at the moment it reaches the bottom of the inclined plane is approximately 4.2 m/s