Yes, there is a force involved when a body turns to the right while continuing to move at the same speed.
When an object moves in a circular path or undergoes any change in direction, there must be a force acting on it. This force is called the centripetal force and is directed toward the center of the circular path.
In the case you described, when the body turns to the right, it is changing its direction of motion. To maintain a curved path, there must be a centripetal force acting towards the center of the curvature. This force is responsible for continuously changing the direction of the body's velocity vector, keeping it on the circular path.
In practical terms, the force required to turn an object moving at a constant speed depends on its mass and the tightness of the turn. The centripetal force can be provided by various means, such as friction between the tires and the road in the case of a vehicle turning, or by gravitational attraction or tension in the case of an object moving in a curved path due to those forces.
In summary, when a body turns to the right while maintaining the same speed, there is a centripetal force involved. This force is necessary to continuously change the body's direction and keep it moving in a curved path.