**Physics Problem: Box Collision and Circular Motion on a Ramp**A 1.00 kg box has an initial speed of 8.50 m/s at the top of a frictionless ramp. At the bottom, it collides inelastically with a stationary box of mass 1.20 kg. After the collision, the combined system moves horizontally across a surface with friction, covering a distance of 1.50 m. Subsequently, it moves up a frictionless semi-circular ramp. At point \( A \) on this semi-circular ramp, the speed is 1.50 m/s.**Objective:** Find the magnitude of the normal force at point \( A \) and the angle \(\phi\).**Constraints:** Do not solve this problem by determining the horizontal acceleration of the blocks in the frictional region.**Illustration Details:**- **Initial Setup:** - The ramp height is 60.0 cm and frictionless. - Initial speed of the box is 8.50 m/s.- **Collision:** - A second, stationary box (mass 1.20 kg) is at the ramp's bottom.- **Frictional Surface:** - The coefficient of kinetic friction (\(\mu_k\)) is 0.150. - The combined system travels 1.50 m horizontally on this surface.- **Semi-Circular Ramp:** - The ramp has a radius \( R = 50.0 \) cm. - At point \( A \), the speed is 1.50 m/s. - The ramp is frictionless in this region.By analyzing momentum, energy conservation, and forces acting on the blocks, you are tasked with finding the normal force at \( A \) and \(\phi\).

Let m1 and m2 denote the mass of the boxes, u denotes the initial speed, v denotes the speed at the ground, h denotes the height, and g denotes the gravitational acceleration. Therefore, apply the energy conservation law to determine the speed of the mass m1 when it reaches the ground. Let v1 denotes the speed of the combined masses after the inelastic collision. Therefore, apply the linear momentum conservation law. Let f denotes the friction force, µ denotes the friction coefficient, d denotes the distance of the ramp having friction, and v2 denotes the speed of the combined masses after completing the rough ramp. The work done by the friction force is equal to the change in the kinetic energy of the masses. Therefore, Let R denotes the radius of the circular ramp, ϕ denotes the angle with the horizontal, vA denotes the speed at point A, and h denotes the height of point A from the ground. Therefore, apply the energy conservation law. Let N denotes the normal force at point A. Thus, the normal force can be obtained as,

Answered: A 1.00 kg box has an initial speed of…