A 0.50-kg bomb is sliding along an icy pond (frictionless surface) with a velocity of 2.0 m/s to the west. The bomb explodes into two pieces. After the explosion, a 0.20-kg piece moves south at 4.0 m/s. What are the components of the velocity of the 0.30-kg piece?

x = - 3.33 i

y = 2.667 j

Explanation:

Given that;

mass of bomb = 0.50 kg

After explosion , 0.20 kg piece moves south 0.20 kg

At 4.0 m/s

By using conservation of momentum

so  for each components of velocity on the x and y axis are shown below in a respective order

x = - 3.33 i

y = 2.667 j

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2