A box of mass =10 kg is placed on a frictionless table. It i…

A box of mass =10 kg is placed on a frictionless table. It is connected by a string to a hanging mass =5 kg, as shown in the figure. The string mass can be neglected. The pulley is frictionless and has a negligible mass. What is the magnitude of the acceleration of the mass on the table?

A car travels along a semicircular curve with a 50 m radius….

A car travels along a semicircular curve with a 50 m radius. At what angle should the roadway of this curve be banked to allow the car to negotiate the curve at 12 m/s speed without slipping or deviating from its circular path even if the frictional force is zero (e.g. icy roadway)?