Bullet of mass m is fired into block of mass m 190 g that is...

'bullet of mass m is fired into block of mass M 190 g that is initially at rest at the edge of table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d 1.50 m from the bottom of the table Determine the initial speed of the bullet; m/s'

Transcript

00:01 Hi guys, now in this below we have a bullet which is a mass of a small m.

00:05 Now this is fired into a block of mass capital m which is about 190 gram that is initially at rest at the edge of the table of height h is equal to 1 meter as you can see in this figure.

00:19 The bullet remains in the block and after the impact the block lengths a distance of what 1 .5 meter from the bottom of the table.

00:28 This is the bottom of the table.

00:29 We need to find out initial speed of the bullet now see now this lengths a distance of 1 .5 meter from this height so we need to find out this speed that for which speed it will be lengths so that it achieve a distance of 1 .5 meter from the bottom the table so i'm going to say that this is v so in order to achieve this distance the total time taken to land on the ground is equal to what since the block is at the distance at the height of 1 meter so total time taken to land on the ground that t is equal to what a square root of 2d divide by g okay and since let me say it it has a speed of v in the horizontal direction so this d can be given as that v times this capital t so this v can be find as what d divide by capital t so first we need to find out this this is what two divide by 9 .8 and then take a square root of that number so a square root of that number is equal to what this will be equal to 0 .45 so time is equal to what 0 .45 second and d is what 1 .5 divide by 0 .45 so that is what 1 .5 divide with 0 .45 this is 3 .34 3 .34 meter per second this is a speed of the block after the impact with a bullet now we are going to apply moment of conservation for this system before the collision and after the collision now the bullet this is a situation before what if i'm just this is a block here initially the block is here which is at the rest and when bullet is what collide with this block, this will be gate into what a block so that it gets a speed of v...

Question

'bullet of mass m is fired into block of mass M 190 g that is initially at rest at the edge of table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d 1.50 m from the bottom of the table Determine the initial speed of the bullet; m/s'

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