Two forces act on a 2.55 kg object, the gravitational force and a second, constant force. The object starts from rest and in 1.20 s is displaced (4.05 hat(i) – 3.30 hat(j)) m. Write th second force in unit vector notation.

dripcima24 2022-10-02 Answered
Two forces act on a 2.55 kg object, the gravitational force and a second, constant force. The object starts from rest and in 1.20 s is displaced ( 4.05 i ^ 3.30 j ^ ) m. Write second force in unit vector notation.
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Answers (1)

Iademarco11
Answered 2022-10-03 Author has 10 answers
Given:
m =2.55 Kg
t =1.20 Sec
d = 4.05 i ^ 3.30 j ^
To find:
Force acting on the given mass.
Solution:
Gravitational force = m g = 2.55 × 9.8 = 24.99   N
Direction would be - j ^
Constant force acting on
As gravitational force acting in downward direction constant force should be in positive x direction as shown in displacement.
Only x direction displacement is to be taken here.
velocity = displacement time velocity = 4.05 i ^ 1.20 = 3.375 i ^ acceleration = velocity time acceleration = 3.375 1.20 i ^ = 2.81 i ^
Force is the product of mass and acceleration.
force = mass × acceleration force = 2.55 × 2.81 i ^ force = 7.16   k g   m / s 2
direction is positive x direction
force = 7.16   k g   m / s 2
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