A 4.0-kg mass is moving with speed 2.0 m/s. A 1.0-kg mass ismoving with speed 4.

Question

A 4.0-kg mass is moving with speed 2.0 m/s. A 1.0-kg mass ismoving with speed 4.0 m/s. Both objects encounter the same constantbraking force, and are brought to rest. Which object travels thegreater distance before stopping? A) the 4.0-kg mass B) the 1.0-kg mass C) both travel the same distance D) cannot be determined by the information given A 4.0-kg mass is moving with speed 2.0 m/s. A 1.0-kg mass ismoving with speed 4.0 m/s. Both objects encounter the same constantbraking force, and are brought to rest. Which object travels thegreater distance before stopping? A) the 4.0-kg mass B) the 1.0-kg mass C) both travel the same distance D) cannot be determined by the information given

Explanation / Answer

Kinetic energy of 4 kg mass K = ( 1/ 2) ( 4 kg) ( 2 m /s ) ^ 2                                                = 8 J kinetic energy of 1 kg mass K ' = ( 1/ 2 ) ( 1 kg ) ( 4m / s ) ^ 2                                                = 8 J from work energy theorem , work done = change in kineticenergy                                      force* distance = change in kinetic energy force and change in kinetic energy is same for both 4 kgand 1 kg masses. So, Both travel same distance

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