A block with a mass of 150 M is at rest on a frictionless table. a bullet of mas

Question

A block with a mass of 150 M is at rest on a frictionless table. a bullet of mass 1 m is fired into it with a speed of v0 when it hits it and becomes imbedded. The table has a height of h meters above the floor. The bullet and the block slide off the table after the impact and hit the floor a distance x meters away. Using only the quantities of m,h,v0, and appropriate constants derive expressions for...

a. the speed of the block as it leaves the table

b. the change in kinetic energy of the bullet block system during impact

c. the distance x

If the bullet passes through the block.

d. State whether the time required for the block to reach the floor from the edge of the table would now be greater,less, or the same. Justify your answer.

e. State whether the distance x for the block would now be greater,less, or the same. Justify your answer.

Explanation / Answer

a) let the velocity of the block is v m/s

using conservation of momentum

( 150 * m + m ) * v = v0 * m

v = v0/151

the speed of the block as it leaves the table is v0/151

b) let the change in kinetic energy

change in kinetic energy = 0.5 * 151 * m *(v0/151 )^2 - 0.5 * m * v0^2

change in kinetic energy = -75 * m * v0^2/151

c)

let the time of flight is tf

tf = sqrt(2 * h/g)

distance = v * tf

distance = sqrt(2*h/g) * v0/151

d)

as the time required is dependent on the height h

the time taken will be same

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.