The angle of the wedge is 30°.
Answer:
5.88 ft/s
Explanation:
a) The block will slide down due to it's weight.
initial velocity u= 0
final velocity, v
acceleration, a = g sin 30° = 32 ft/s²× sin 30° = 16 ft/s²
Sliding displacement, s = 3ft
Use third equation of motion:
[tex]v^2-u^2 = 2as[/tex]
substitute the values and solve for v
[tex]v^2-0 = 2\times 16 \times 3 =96 ft^2/s^2\\v = 9.8 ft/s[/tex]
b) Use conservation of momentum:
Initial momentum of the system = 0
final momentum = (15) ( 9.8)+ (25)(v')
v' = 5.88 ft/s
