1. A cannon elevated at some angle θ (unknown) fires a shell with some initial speed v0 (unknown) that has a range R when fired over level ground (see Figure (a)). During a test fire, a shell explodes at the top of the trajectory into two unequal mass fragments. The shell explodes in such a manner that neither fragment experiences a change in momentum in the y direction. However, 22% of the shell (m2) continues onward and the other fragment (m1) falls straight down. Determine the distance D (in terms of R) that the forward moving fragment lands from the cannon (see Figure (b)). use first file attached
D= ___________R
2. A 0.0250 kg bullet moving horizontally at 500 m/s embeds itself into an initially stationary 0.500 kg block.
a) What is their velocity (in m/s) just after the collision?_________m/s
b) The bullet-embedded block slides 8.0 m on a horizontal surface with a 0.30 kinetic coefficient of friction. Now what is its velocity (in m/s)?________m/s
c) The bullet-embedded block now strikes and sticks to a stationary 2.00 kg block. How far (in m) does this combination travel before stopping?_________m
3. During an ice show a 65.0 kg skater leaps into the air and is caught by an initially stationary 65.0 kg skater.
a) What is their final velocity in meters per second assuming negligible friction and that the 65.0-kg skater's original horizontal velocity was 4.00 m/s?_______m/s
b) How much kinetic energy is lost in joules?________J