Question

A box with a mass of 20 kilograms is sliding down a ramp tilted at an angle θ of 30° to the horizontal. Determine the acceleration of the box as it slides down the ramp. Ignore friction.

Answer 1

The acceleration of the box as it slides down the ramp is 4.9 m/s².

What is the acceleration of the box down the incline?

The acceleration of the box down the incline is determined by applying Newton's second law of motion as shown below;

F - Ff = ma

where;

• F is the parallel force on the box
• Ff is the frictional force on box = 0
• m is the mass of the box
• a is the acceleration of the box

F - 0 = ma

F = ma

mg sinθ = ma

g sinθ = a

where;

• g is acceleration due to gravity
• θ is the angle of inclination of the incline

a = 9.8 x sin(30)

a = 4.9 m/s²

Learn more about acceleration here: brainly.com/question/14344386

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