Question

To model a spacecraft, a toy rocket engine is securely fastened to a large puck, which can glide with negligible friction over a horizontal surface, taken as the xy plane. The 8.00 kg puck has a velocity of 10.0 i hat m/s at one instant. Eight seconds later, its velocity is to be (10.0 i hat 12.0 j) m/s. (a) Assuming the rocket engine exerts a constant total horizontal force, find the components of the force. ( i hat j ) N (b) Find its magnitude. N

Answer 1

Step-by-step explanation:

Given that,

Mass of a puck, m = 8 kg

Initial velocity, u = 10i m/s

Final velocity, v = (10i+12j) m/s

Time, t = 8 s

(a) Force acting on an object is given by the product of mass and acceleration.

F = ma

a is acceleration

`F=(m(v-u))/(t)\\\\F=(8* (10i+12j-10i))/(8)\\\\F=12j\ \text{N}`

(b) The magnitude of force is given by :

`F=√(12^2+0^2) \\\\F=12\ N`

Hence, the component of force is 12j N and its magnitude is 12 N.