Answer:
The resultant vector is 
.
Explanation:
First, each vector is determined in terms of absolute coordinates:
6-meter vector with direction: 30º north of east.
4-meter vector with direction: 30º east of north.
The resultant vector is obtaining by sum of components:
The resultant vector is .
Its about momentum. Momentum (p)=mass(m)xvelocity(v)
So for the first ball P=4x8=32kgm/s
For the second the momentum is zero as it is still.
So overall momentum its 32kgm/s
Momentum has to be conserved
After the collision the momentum of the 4kg ball is 4x4.8=19.2kgm/s
As momentum is conserved 32-19.2=12.8kgm/s remaining
So rearrange for velocity so v=p/m=12.8/1=12.8m/s for the 1kg ball
Answer:
x=1.25m
Explanation:
The <em>Center of mass </em>of the system is defined as the point where whole mass of the body is appeared to be concentrated.
The center of mass of the system is given by
x= 
where m1 is mass of man =60 kg
m2 mass of board =20 kg
let the man be at the origin x1 =0 , x2 =5m
by substituting in above formula
x =
= 
=1.25 m
x=1.25m
So the center of mass of the system is at 1.25 m from man.
Power = work /time
and W = force * dis
W = 96 * 3.046 J = 292.44 J
P = 292.44 / 4.6 = 63.575 watt
The masses of the children may not be taken into account since these are towards the ground and directly affecting the bear. The net force is the difference of the forces since they are acting on opposite sides. The magnitude of this net force is equal to 2N and the sign is to where the greater force is from. Therefore, the force is directed towards the left.
