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A body of mass 2$\mathrm{kg}$ is acted upon by two forces each of magnitude 1 newton, making an angle of $60°$ with each other. The net acceleration of the body (in $\mathrm{m}/{\mathrm{s}}^2$) is
(a) 0.5
(b) 1.0
(c) $\sqrt{3}$$/2$
(d) $\cong 2/3$

Two blocks of mass M and m are placed in contact with each other on a frictionless surface as in the adjoining diagram. A force P is applied on the heavier mass M, the acceleration of the lighter mass is 

1.  P/m
2.  P/M
3.  P/(M + m)
4.  P/(M - m)

A balloon with mass m is descending down with an acceleration a (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration a?
1. 2ma/g+a
2. 2ma/g-a
3. ma/g+a
4. ma/g-a

An elevator and its load have a total mass of 800 kg .Find the tension in the supporting cable when the elevator, moving downward at 10 m/s is brought to rest with constant acceleration in a distance of 25 m. ( Take g = 10m/s² ) :-
1. 6400 N
2. 8000 N
3. 9600 N
4. Zero

A pulley fixed to the ceilling carries a string with blocks of mass m and 3 m attached to its ends. The masses of string and pulley are negligible. When the system is released, its centre of mass moves with what acceleration 
1. 0
2. g/4
3. g/2
4. –g/2

One end of a massless rope, which passes over a massless and frictionless pulley P is tied to a hook C while the other end is free. Maximum tension that the rope can bear is 360 N. with what value of minimum safe acceleration (in ms^–2) can a monkey of 60 kg move down on the rope 

1. 16
2. 6
3. 4
4. 8

Three blocks of masses 2 kg, 3 kg and 5 kg are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force F = 10 N, then tension T₁ = 

1. 1N
2. 5 N
3. 8 N
4. 10 N

Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of 5 kg mass is

1. 49 m/s²
2. 5.44 m/s²
3. 19.5 m/s²
4. 2.72 m/s²