Aforce of 100 n acts uphill on a 4 kg mass which sits on a surface with μ = 0.7 inclined at 23 degrees. find the acceleration.

as per FBD we can see that there are two forces opposite to our applied force F

1. Component of weight along the inclined plane

2. Friction force along the inclined plane

now in order to find the acceleration we will use Newton's II law

here we can say that net force is given by

now we can find friction force by its formula

here normal force is

now we have

now net force is given by

now acceleration is given by

now we will plug in all values in above expression

[tex]a = 14.85 m/s^2[

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here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be