Two equal masses on a smooth table are in contact and a force F is applied, push

Question

Two equal masses on a smooth table are in contact and a force F is applied, pushing them towards the left as shown. If the magnitude of F is just equal to the weight (W) of each of the masses, the contact force between them is then given by: a. W b. W/2 c. 2W d. W/4 In an experiment in which you weigh yourself in an elevator which is moving vertically downward with a uniform acceleration equal to a, you observe that your weight is only 3/4 of your real weight (i.e. your weight on ground). In terms of the acceleration due to gravity g, the value of a can be found as: a. (2/3)g b. (1/2)g c. (1/3)g d. (1/4)g An object is moving down under gravity along a smooth inclined plane. As the angle of inclination (making with the horizontal) increases, which of the following statements concerning the down plane acceleration (a) and the normal reaction force (F_N) between the object and the plane is correct? a. a will increase while F_N will decrease b. a will decrease while F_N will increase c. both a and F_N will increase d. both a and F_N will decrease

Explanation / Answer

11 Fext=F

mg=(m+m)a

a=g/2

Fcontact=Fext-ma

=mg-mg/2=mg/2=w/2

12 R-mg=ma

a+g=3/4g

a=(3/4-1)g=-1/4g

13 a will increase as acc.is due to comonent mgsin theta as if theta increase acc wil increase

Normal reaction= mgcos theta so normal reaction_wil decrease,

as if theta increase normal reaction wil decrease due to cos comonent

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