An object is sliding down a frictionless slope of 20o. The acceleration of the object (in m/s2) isGroup of answer choices3.564.90Acceleration cannot be determined because mass of the object is not known3.359.21
Question
An object is sliding down a frictionless slope of 20o. The acceleration of the object (in m/s2) isGroup of answer choices3.564.90Acceleration cannot be determined because mass of the object is not known3.359.21
Solution
The acceleration of an object sliding down a frictionless slope can be calculated using the formula:
a = g * sin(θ)
where:
- a is the acceleration,
- g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and
- θ is the angle of the slope.
Given that the slope is 20 degrees, we can substitute these values into the formula:
a = 9.8 m/s² * sin(20°)
Using a calculator to find the sine of 20 degrees:
a = 9.8 m/s² * 0.342
a ≈ 3.35 m/s²
So, the acceleration of the object is approximately 3.35 m/s². The mass of the object is not needed to calculate this, as it does not affect the acceleration of an object sliding down a frictionless slope.
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