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A student pulls on a rope attached to a box of books and moves the box down the hall. The student pulls with a force of 185 N at an angle of 25.0° above the horizontal. The box has a mass of 27 kg. Find the acceleration of the box.

Answer :

Final answer:

The student pulls with an effective force of about 168.49N in the direction of movement. Using Newton's second law, we find that the acceleration of the box is approximately 624.04 m/s².

Explanation:

In this problem, we are working with forces and acceleration, which involves the use of Newton's second law of motion. This law states that the acceleration of an object is directly proportional to the force applied on it and inversely proportional to its mass.

To solve this, we first need to find the effective force in the direction of movement, which will be the horizontal component of the force. We do this by multiplying the force by the cosine of the angle. That gives us: 185N * cos(25°) = approximately 168.49N.

Then, to find the acceleration, we apply Newton's second law: Force = mass * acceleration. Rearranging this formula to find acceleration gives us: Acceleration = Force / mass. Thus, the acceleration of the box is 168.49N / .27kg = approximately 624.04 m/s².

Learn more about Newton's Second Law here:

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