Recall the formula for kinetic energy.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Recall the formula for kinetic energy. The kinetic energy (K.E.) of an object is given by the formula: where is the mass and is the speed.
Step 2: Rearrange the formula to solve for speed squared (). Multiply both sides by 2: Divide both sides by :
Step 3: Analyze the relationship between speed and mass. The problem states that the car and the truck have the same kinetic energy. This means K.E. is constant for both vehicles. Also, 2 is a constant. Therefore, we can see that is inversely proportional to : This implies that if the mass () is smaller, the speed squared () must be larger to maintain the same kinetic energy. Consequently, the speed () will also be larger.
Step 4: Apply the relationship to the car and truck. We are given that the truck has more mass than the car. Since , the object with less mass will have a greater speed. The car has less mass than the truck.
Therefore, the car has greater speed.
The car has greater speed.
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