A3.25 kg block is sent up a ramp inclined at an angle theta=33.5° from the horizontal. it is given an initial velocity =15.0 m/s up the ramp. between the block and the ramp, the coefficient of kinetic friction is =0.397 and the coefficient of static friction is =0.712. how far up the ramp in the direction along the ramp does the block go before it comes to a stop?

x=13.005m

Explanation:

The kinetic friction μk=0.397 is when the motion is development so:

The net force of the motion is the relation of component of block weight acting parallel to ramp and against block's motion

The net force of the motion is :

The total force is the relation of mass and acceleration so, can find the acceleration to determinate the distance the block go far after the motion

the closer the planet is to the sun, the larger the gravity