To model a spacecraft, a toy rocket engine is securely fastened to a large puck,

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 2.00 kg puck has a velocity of 3.00 i m/s at one instant. Eight seconds later, its velocity is to be 7.00 i + 14.0 j) m/s. Assuming the rocket engine exerts a constant total horizontal force, find the components of the force. Your response differs from the correct answer by more than 10 percentage. Double check your calculations, i + Your response differs from the correct answer by more than 100 percentage. j. Find its magnitude.

Explanation / Answer

a )

the velocity is given

7 i + 14 j and 3 i m/sec

t = 8 sec

the acceleration is a = dv / dt

a = ( 7 i + 14 j ) - 3 i / 8

a = 11 i + 14 j / 8

a = ( 1.375 i + 1.75 j ) m/sec2

and force we have F = m a

m = 2 kg given

F = 2 X ( 1.375 i + 1.75 j )

F = ( 2.75 i + 3.5 j ) N

b )

the magnitude is | F | = ( 2.752 + 3.52 )1/2

| F | = 4.4511 N

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