The acceleration of the mass (m) due to gravity (g = 9.8 m/s2) can be resolved into a component normal to the slope, an, and one parallel to the slope, ap.
an = g*cos(47o)
ap = g*sin(47o)
The component normal to the slope will account for the frictional force, but since no frictional coefficient is given, I think we can assume the mass is sliding without friction. The momentum, then, will be due solely to ap, the component of acceleration parallel to the slope:
p = mv = m*ap*t = m*(9.8)*sin(47o)*(5) = 35.84*m Newton-seconds
Where 35.84 is the object's velocity after 5 seconds (in meters/sec) and m is the unspecified value of the object's mass. Does the problem provide the value of m?
Philip P.
07/03/14