A box of mass m is at sliding constant velocity along a horizontal table The box

Question

A box of mass m is at sliding constant velocity along a horizontal table The box is attached lo a massless rope which is pulled by a force F making an angle theta with the horizontal as shown, Find mu1, the coefficient oí kinetic friction your answer should be in items of the known variable, g F, theta, and m only A block of mass m1 is on a curved ramp at height k At the base of the ramp, a second block of mass m2 is attached to a spring constant k . The spring and m2. are initially at the equilibrium position as shown in the diagram. M1 slides down the ramp and collides with m, compressing the spring There is no friction Find the maximum compression of the spring Your answer should be in items of m1, m2, g , h, and k only. Particle one, with mass m1, is travelling along the x-axis with initial speed vk = vi. A second particle, with mass m2 = 2m, is travelling along the Y-axis with initial speed vz = 3vj The two collide inelastically. What is the final velocity of the system? Your answer should be in terms of v only.

Explanation / Answer

PART 3

initial momentum

=mv (x) +2m*3v (y)

final massof system =3m

momentumwill remain conserved in both direction

let final velocity be UX +UY

APPLYING WE GET

3mUX =mv

UX =v/3

and 2m*3v=3m*UY

UY =2v

final velocity =v/3(x) +2v(y)

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