Would the Sun keep our Earth in orbit around it at a speed of 29.76 km / sec, if the Sun’s mass were halved?

No, since we find after calculating that the parabolic speed at the distance of the Earth from the Sun in this case would decrease just to the present orbital speed of the Earth.

Remember: The process of learning a person lasts a lifetime. The value of the same knowledge for different people may be different, it is determined by their individual characteristics and needs. Therefore, knowledge is always needed at any age and position.