Mitch throws a 100-g lump of clay at a 510-g target,which is at rest on a horizontal surface.After impact,the target,including the attached clay,slides 2.9 m before stopping.If the coefficient of friction is μ = 0.50,find the speed of the clay before impact.
A) 6 m/s
B) 34 m/s
C) 33 m/s
D) 0.6 m/s
E) 38 m/s

Question

Mitch throws a 100-g lump of clay at a 510-g target,which is at rest on a horizontal surface.After impact,the target,including the attached clay,slides 2.9 m before stopping.If the coefficient of friction is μ = 0.50,find the speed of the clay before impact.
A) 6 m/s
B) 34 m/s
C) 33 m/s
D) 0.6 m/s
E) ​38 m/s

Quizplus · Accepted Answer

The speed of the clay before impact can be found using the work-energy principle and conservation of momentum. The work done by friction is equal to the kinetic energy of the system after impact. Using the formula for work done by friction (friction force * distance) and setting it equal to the kinetic energy (1/2 * mass * velocity^2), we can solve for the velocity of the clay before impact.

Mitch Throws a 100-G Lump of Clay at a 510-G