A projectile of mass m = 3 kg is fired with an initial speed of 120 m/s at an angle of 30° with the horizontal. At the top of its trajectory, the projectile explodes into two fragments of masses 1 kg and 2 kg. The 2-kg fragment lands on the ground directly below the point of explosion 3.6 s after the explosion. (a) Determine the velocity of the 1-kg fragment immediately after the explosion. (b) Find the distance between the point of firing and the point at which the 1-kg fragment strikes the ground. (c) Determine the energy released in the explosion.
A projectile of mass m = 3 kg is fired with an initial speed of 120 m/s at an angle of 30° with the horizontal. At the top of its trajectory, the projectile explodes into two fragments of masses 1 kg and 2 kg. The 2-kg fragment lands on the ground directly below the point of explosion 3.6 s after the explosion. (a) Determine the velocity of the 1-kg fragment immediately after the explosion. (b) Find the distance between the point of firing and the point at which the 1-kg fragment strikes the ground. (c) Determine the energy released in the explosion.
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Step 1: Know the concepts to be used:
VIEWStep 2: Understand the problem and draw a diagram of situation:
VIEWStep 3: Calculate the velocity u_ix and u_2y
VIEWStep 4: (a) Find the expression for the velocity of the 1 kg mass just after the explosion:
VIEWStep 5: (b) Calculate the total distance between the point of projection and landing point of 1 kg mass:
VIEWStep 6: (c) Calculate the energy formed in the explosion:
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