A ball (A) of mass m 0.10kg is introduced inside a launcher (see diagram below). The launcher exerts a time dependent force on the ball, which lasts for 0.10s, during which the ball increases in velocity (from rest). The force is represented by the following function: F(t) = F-(1+e-100), where F. = 100N. The ball leaves the launcher with velocity vo and moves on a frictionless surface until it hits a block (B) of identical mass m, initially at rest at the bottom of an inclined plane. They collide in a perfectly inelastic collision, and A becomes embedded in B. After the collision the system AB starts to go up the incline. %3D %3D Vo A F(t) a) Determine the velocity of the ball as it leaves the launcher, vo. b) Determine the velocity of the system AB after A and B collide, vAB. If you did not solve a) use vo = 109.999546 m/s. c) What is the final height of AB on the incline? Assume the incline is frictionless and is as high as needed. m/s. If you did not solve b) use vAB = 54.999773
A ball (A) of mass m 0.10kg is introduced inside a launcher (see diagram below). The launcher exerts a time dependent force on the ball, which lasts for 0.10s, during which the ball increases in velocity (from rest). The force is represented by the following function: F(t) = F-(1+e-100), where F. = 100N. The ball leaves the launcher with velocity vo and moves on a frictionless surface until it hits a block (B) of identical mass m, initially at rest at the bottom of an inclined plane. They collide in a perfectly inelastic collision, and A becomes embedded in B. After the collision the system AB starts to go up the incline. %3D %3D Vo A F(t) a) Determine the velocity of the ball as it leaves the launcher, vo. b) Determine the velocity of the system AB after A and B collide, vAB. If you did not solve a) use vo = 109.999546 m/s. c) What is the final height of AB on the incline? Assume the incline is frictionless and is as high as needed. m/s. If you did not solve b) use vAB = 54.999773
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Solution to HW problem with all work and explanation, please.

Transcribed Image Text:A ball (A) of mass m = 0.10kg is introduced inside a launcher (see diagram
below). The launcher exerts a time dependent force on the ball, which lasts for
0.10s, during which the ball increases in velocity (from rest). The force is
represented by the following function: F(t) = F(1+e100), where F = 100N.
The ball leaves the launcher with velocity vo and moves on a frictionless surface
until it hits a block (B) of identical mass m, initially at rest at the bottom of an
inclined plane. They collide in a perfectly inelastic collision, and A becomes
embedded in B. After the collision the system AB starts to go up the incline.
Vo
A F(t)
a) Determine the velocity of the ball as it leaves the launcher, vo.
b) Determine the velocity of the system AB after A and B collide, vAB. If you did
not solve a) use vo = 109.999546 m/s.
c) What is the final height of AB on the incline? Assume the incline is frictionless
and is as high as needed.
m/s.
If you did not solve b) use vAB = 54.999773
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