Two astronauts, of masses 60 kg and 80 kg, are initially right next to each other and at rest in outer space. They suddenly push each other apart. How far has the heavier astronaut moved when the lighter astronaut has moved 12 m

21 m

Explanation:

Given

Mass of the first astronaut, m1 = 60 kg

Mass of the second astronaut, m2 = 80 kg

Distance moved by the first astronaut, d1 = 12 m

Distance moved by the second astronaut, d2 = ?

using the law of conservation of momentum, we can say

m1d1 = m2d2

So that, d2 = m1d1 / m2

d2 = (60 * 12) / 80

d2 = 720 / 80

d2 = 9 m

If we then take into account the distance of 12 m moved by the first astronaut. We have the total distance moved by the second astronaut to be 9 + 12 = 21 m

Thus, the distance moved by the heavier astronaut when the lighter astronaut has moved 12 m, is 21 m

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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