Question

A block of ya mass is movin9e 12 mis callider w a stationamy 2 va obiect collision jMcdine. TC tme base of at inelastie, and is perkecty tvansihons fom hou'zonta How of 0 31 combined to incline of Plane motion incine cloes fax tme me along $4ctem travei?

Answer 1

here,

m1 = 1 kg , m2 = 2 kg

initial speed , u = 12 m/s

let the final speed be v

using conservation of momentum

m1 * u = (m1 + m2) * v

1 * 12 = ( 1 + 2) * v

solving for v

v = 4 m/s

theta = 37 degree

the distance traveled up the incline be s

using conservation of mechanical energy

0.5 * (m1 + m2) * v^2 = (m1 + m2) * g * s * sin(theta)

0.5 * 4^2 = 9.81 * s * sin(37)

solving for s

s = 1.36 m

the distance traveled up the incline is 1.36 m