Under what conditions a body on an inclined plane has acceleration of 4.9m/s2
Answers
Answer:
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Explanation:
Thus the acceleration of the body on a smooth inclined plane surface will be 4.9 m/s² if the angle of inclination is 30°.
Given:
The acceleration of a body = 4.9 m/s²
To find:
Under what conditions a body on an inclined plane has acceleration of 4.9m/s².
Solution:
We know that the acceleration acting on a body placed on an inclined plane of angle α is g×sinα. Hence if the acceleration of the body on an inclined plane is given as 4.9m/s², then
4.9m/s²= g×sinα
Here g is the acceleration due to gravity.
4.9m/s²= 9.8× sinα
sinα = 4.9/9.8
sinα = 0.5
α = sin⁻¹(0.5)
α = 30°
Thus a body on an inclined plane will have an acceleration of 4.9m/s² when the angle that the inclined plane makes with the horizontal surface will be 30°.