RE-NEET Physics Laws of Motion Class 11 Questions

A car travels on a circular racetrack of radius 50 m, which is banked at an angle θ. If the car travels at a speed 10 m/s, then the wear and tear on its tyres is minimum. Taking the acceleration due to gravity to be 10 m/s², the value of θ is:

A box of mass 5 kg is pulled by a cord, up along a frictionless plane inclined at 30° with the horizontal. The tension in the cord is 30 N. The acceleration of the box is (Take g = 10 m s⁻²)