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Two persons simutaneously aim and fire their guns at a bird sitting on a tree. The first person fires his shot with a speed of 100m//s at an angle of projection of 30^(@) . The second person is ahead of the first by a distance of 50m and fire his shot with a speed of 80m//s . how must he aim his gun so that both the shots hit the bird simultaneously. Calculate the distance of the foot of the frre from two persons and the height of the tree. With what velocities and when do the two shorts hit the bird.

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. Linear momentum of the ball immediately after colliding with the floor will be

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. After collision with the hard floor, the ball will bounce to a height

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. Maximum force exerted by the bat on the ball is

The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body. A ball of mass 250 g is thrown with a speed of 30 m//s . The ball strikes a bat and it is hit straight back along the same line at a speed of 50 m//s . Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig. Average force exerted by the bat on the ball is Let us consider another example. The given ball of mass 250 g is dropped from a height 5 m on a hard floor. Force exerted by the floor on the ball, as long as these are in contact, varies with time as shown in Fig.