A spaceship of mass 2.0*106 kg is cruising at a speed of 5.0*106 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.0*105 kg, is blown straight backward with a speed of 2.0*106 m/s. A sec-ond piece, with mass 8.0*105 kg, continues forward at 1.0*106 m/s. What are the direction and speed of the third piece?

v3 = 1.6*10^7 m/s , and the direction is the same as the initial direction of movement of the spaceship

Explanation:

The initial mass is M = 2.0*10^6kg

the velocity is V = 5.0*10^6m/s

then, the initial moment is P = M*V = 1.0*10^13m*kg/s

now, we must have that the momentum before and afther must be equal, after we have:

one part with:

m1 = 5.0*10^5kg, v1 = -2.0*10^6m/s

then p1 = -1.0*10^12kh*m/s

other part has:

m2 = 8.0*10^5kg, v2 = 1.0*10^6m/s

p2 = 8*10^11kg*m/s

then, the third object must have a momentum:

p3 = P - p1 - p2 = 10.0*10^12 - 0.8*10^12 + 2.0*10^12 = 11.2*10^12

then m3*v3 = 11.2*10^12 kg*m/s so from this we know that the velocity is in the same direction than the initial velocity.

now, we can find m3 by:

M = m1 + m2 + m3

m3 = M - m1 - m2 = 2.0*10^6kg - 0.5*10^6kg - 0.8*10^6kg = 0.7*10^6kg

then v3 = (11.2*10^12)/(07*10^6) m/s = (11.2/0.7)*10^(12 - 6) m/s = 16.0*10^6 m/s

v3 = 1.6*10^7 m/s

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

according to jean piaget, in what stage of cognitive development are children able to understand conservation task?

b. preoperational

just took it