physics
posted by Marc .
A bullet of mass m = 5.89 g is fired into a block of mass M = 3.09 kg that is initially at rest on the edge of a smooth table. (The table top is 0.83 m above the floor.) The bullet ends up stuck in the block, and together they fly off the table and fall to the floor.
If the bullet has an initial speed of 870 m/s, what distance D will the block travel horizontally before landing on the floor?

m•v= (m+M) •V,
V = m•v/(m+M) = 5.89•10^3•870/(5.89•10^3+3.09) =
=1.294 m/s.
h=g•t^2/2 ,
t = sqrt(2•h/g) = sqrt(2•0.83/9.8) =
= 0.412 s,
D = V•t = 1.294•0.412 = 0.53 m.
Respond to this Question
Similar Questions

physics
An 8.00 g bullet is fired into a 180 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 2.2 m from the bottom of the table. Determine … 
physics
An m1 = 8.40 g bullet is fired into a m2 = 2.17 kg block that is initially at rest at the edge of a frictionless table of height h = 1.13 m. The bullet remains in the block, and after impact the block lands d = 1.76 m from the bottom … 
physics
An 8.00 g bullet is fired into a 160 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 1.6 m from the bottom of the table. Determine … 
physics
An 8.00 g bullet is fired into a 160 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 1.6 m from the bottom of the table. Determine … 
physics
An 8.00 g bullet is fired into a 160 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 2.1 m from the bottom of the table. Determine … 
physics
An 8.00 g bullet is fired into a 250 g block that is initially at rest at the edge of a table of 1.00 m height. The bullet remains in the block, and after the impact the block lands d = 1.8 m from the bottom of the table. Determine … 
Physics
A block of mass m 1 sits at rest on a table over a hole in the table. From below the table, a bullet of mass m 2 is fired vertically upwards into the block. The bullet imbeds itself in the block. The block and bullet rise to a maximum … 
college physics
a bullet of mass 8g is fired into a block of mass 260g that is initially at rest at the edge of a table of height 1m the bullet remains in the block and after the impact the block land d=2.20m for the bottom of the table. determine … 
physics
A bullet of mass m=10 g is fired with initial speed vi = 400 m/s into a block of mass M=2 kg initially at rest at the edge of a frictionless table of height h=1 m as shown in the figure. The bullet remains in the block, and after the … 
physics
An 8.64g bullet is fired into a 365g block that is initially at rest at the edge of a table of h = 1.11 m height The bullet remains in the block, and after the impact the block lands d = 1.87 m from the bottom of the table. Determine …