College

A 5.25 kg stone is thrown as a projectile with a force of 245 N from a hilltop where the local gravitational acceleration is 9.82 m/s². Determine the acceleration of the rock in m/s².

Answer :

The acceleration of the rock is 23.16 m/s^2.

To find the acceleration of the rock, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma).

In this case, the force exerted on the rock is 245 N. We also know the mass of the rock is 5.25 kg.

Rearranging the equation, we can solve for acceleration by dividing the force by the mass (a = F/m).

Plugging in the values, we get a = 245 N / 5.25 kg = 46.67 m/s^2.

However, we need to consider the local gravitational acceleration, which is 9.82 m/s^2.

Subtracting the gravitational acceleration from the calculated acceleration gives us the net acceleration of the rock.

Therefore, the acceleration of the rock is 46.67 m/s^2 - 9.82 m/s^2 = 23.16 m/s^2.

The rate at which velocity changes is acceleration. Acceleration typically indicates a change in speed, but not always. At the point when an item moves in a round way at a consistent speed, it is as yet speeding up, in light of the fact that the bearing of its speed is evolving.

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