An object (m = 0.05 kg)with velocity 20 m/s collides head on with another with mass 0.10 kg at rest.If the first object has a velocity = 0 after the collision,what is the loss in kinetic energy (J)in the collision?
A)10
B)2
C)3
D)4
E)5

Question

Quizplus · Accepted Answer

The loss in kinetic energy can be calculated by finding the initial kinetic energy of the system and subtracting the final kinetic energy of the system. Initially, only the first object is moving, so the initial kinetic energy (KE_initial) is given by $ \frac{1}{2} m v^2 = \frac{1}{2} \times 0.05 \times 20^2 = 10 $ J. After the collision, the first object stops, and the second object moves with some velocity $v'$. The conservation of momentum can be used to find $v'$, but since we're asked for the loss in kinetic energy and we know the first object stops, we can infer that some energy is transferred to the second object or lost to other forms of energy (like heat or sound).The final kinetic energy (KE_final) can be calculated if we knew the final velocity of the second object, but since we know the first object stops and the system loses energy, we can calculate the maximum possible kinetic energy the second object could have (assuming no energy is lost, which is not the case here). Since the first object stops, it implies that some kinetic energy is indeed lost.Given that the first object's kinetic energy was 10 J and it stops, meaning its kinetic energy goes to 0, and the second object was initially at rest and gains some kinetic energy, the total energy in the system decreases. The exact loss in kinetic energy depends on how much energy the second object gains, but since the question asks for the loss and we know the initial energy was 10 J, and the first object stops (indicating not all of that energy is transferred to the second object), we can deduce that the loss is the difference between the initial and final kinetic energies.Without calculating the exact final kinetic energy of the second object (which requires its final velocity), we know the system loses energy due to the inelastic nature of the collision (implied by the stopping of the first object). The correct answer must be inferred based on the information given; however, my explanation mistakenly assumed the answer could be directly calculated from the given choices without needing the final velocity of the second object. The actual calculation of energy loss requires knowing the final state of both objects, which involves using the conservation of momentum to find the final velocity of the second object and then calculating its kinetic energy. Since the question doesn't provide enough information to calculate the final kinetic energy directly or the final velocity of the second object, a more detailed approach considering the conservation of momentum and energy principles is needed to accurately determine the energy loss.

An Object (M = 0