A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy will be much easier

My story is down below.

The liner function f(x) =0.9x + 7p represents the average test score in your math class where x is the number of tests taken. the liner function g(x) represents the class average test score in your class, where x is the number of tests taken​

A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy will be much easier

you cant move and you feel like someones pushing you down onto your bed it can feel like you want to get up but you just can't it can be extremely scary

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft