Final answer:
When a car's speed doubles, the skid distance becomes four times longer, so at 100 km/h, the car would skid 140 m. The car's kinetic energy transforms into other energy forms, such as thermal energy, due to friction.
Step-by-step explanation:
The student is asking about estimating the skid distance of a car when the initial speed is doubled, and about the transformation of the car's kinetic energy as it comes to rest. To estimate the skid distance when a car's initial speed is doubled from 50.0 km/h to 100.0 km/h, we can use the physics concept that the stopping distance is proportional to the square of the velocity when friction is the dominant force slowing down the car.
If a car skids 35 m at 50.0 km/h, when the speed is doubled, the skid distance will become four times longer, under the assumption of constant deceleration due to locking of the brakes. Therefore, the car initially traveling at 100.0 km/h would skid 140 m (4 x 35 m).
The car's kinetic energy is transformed into thermal energy due to friction between the tires and road surface, as well as into other forms of energy associated with the deformation of the car and road, if any, during the skid to a stop.