Here's One more question ~

A crate of mass m is pulled with a force F along a fixed right angled horizontal through as in the figure. The Coefficient of kinetic friction between the crate and the trough is μ . Find the value of force F required to pull it along the trough with constant velocity.

Picture is attached in question.

Thanks for Answering ~

hope helpful <3"

F = √2 μmg

2N sin 45° = mg

F = 2μ

✅Hope it's helpful for you ✅

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.