A bomb of mass 3.0 kg explodes in air into two pieces of masses 2.0 kg and 1.0 kg. The smaller mass goes at a speed of 89 ms⁻¹ . The total energy imparted to the two fragments is
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Class 11 Physics Chapter 5 focuses on Work, Energy and Power covering essential concepts such as work done energy transformations and the principles of power. Students learn to calculate kinetic and potential energy and understand the conservation of energy. This chapter provides a foundational understanding crucial for further studies in physics and related fields.
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A 3.0 kg bomb explodes in mid-air, breaking into two pieces of mass 2.0 kg and 1.0 kg. The smaller piece, with mass 1.0 kg, is ejected at a speed of 89 m/s. We want to find the total energy transferred to the two pieces. First, we will calculate the kinetic energy of the smaller piece. The kinetic energy depends on the mass and the square of the speed of the fragment. We apply the principle of conservation of momentum to find the speed of the larger fragment. Since the total momentum before the explosion is zero, the momentum after the explosion must also equal zero. So, by studying the masses and velocities, we can deduce the speed of the 2.0 kg fragment.
After calculating the kinetic energy of each fragment, these values are combined to find total energy imparted during the explosion. The calculated total energy expresses the amount of energy released from the explosion, which is equally distributed between two fragments. Hence, the answer shows the quantity of energy transmitted to the fragments, which remains a significant requirement in the domain of physics as an understanding related to the mechanics of explosions.
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