# A Ball of Mass 9m Dropped from Rest

When a ball of mass 9m is dropped from rest, the ball falls freely under the influence of gravity. This means that the ball accelerates due to the force of gravity acting upon it. The acceleration of the ball is determined by the formula F = ma, where F is the force of gravity, m is the mass of the ball, and a is the acceleration of the ball. In this case, the acceleration of the ball is 9.8 m/s2.

When the ball is dropped from rest, its initial velocity is zero. As it falls, its velocity increases due to the acceleration of gravity. The velocity of the ball increases until it reaches its terminal velocity, which is the maximum velocity that the ball can reach. At this point, the force of air resistance is equal to the force of gravity, so the ball no longer accelerates and its velocity remains constant.

The ball falls until it reaches the ground, at which point its velocity is zero. During its descent, the ball experiences a downward acceleration due to gravity, which can be calculated using the formula a = F/m. In this case, the acceleration of the ball is 9.8 m/s2. The time it takes for the ball to fall can also be calculated using the formula t = v/a, where v is the initial velocity (which is zero in this case) and a is the acceleration (which is 9.8 m/s2). The time it takes for the ball to fall is therefore 0.1 seconds.

When the ball hits the ground, it experiences a force of impact. This force is equal to the force of gravity times the mass of the ball. In this case, the force of impact is 9 x 9.8 = 88.2 N. This force of impact can cause damage to the surface it hits, depending on the strength of the material. For example, if the ball hits a concrete surface, it can cause significant damage due to the force of impact.

The concept of a ball of mass 9m being dropped from rest can be used to understand basic principles of physics, such as acceleration and force. It is also useful for understanding the effects of gravity on an object. By understanding these concepts, it is possible to predict the velocity, time, and force of impact of an object when it is dropped from rest.

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When a ball of mass 9m is dropped from rest, it falls freely under the influence of gravity. Its velocity increases due to the acceleration of gravity until it reaches its terminal velocity. The time it takes for the ball to fall can be calculated using the formula t = v/a, where v is the initial velocity and a is the acceleration. When the ball hits the ground, it experiences a force of impact equal to the force of gravity times the mass of the ball. These concepts are useful for understanding the effects of gravity on an object.