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A shell of mass 200 g is fired by a gun of mass 100 kg. If the muzzle speed of the shell is 80 m/s, calculate the recoil speed of the

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In equilibrium of particle when net external force of the particle is zero. Then, the particle

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Two forces `F_1= 3 hati - 4 hatj and F_2 = 2 hati - 3 hatj` are acting upon a body of mass `2 kg`. Find the force `F_3`, which when acts on the body will make it

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Two equals forces are acting at a point with an angle of 60° between them. If the resultant force is equal to `40sqrt3 N`, the magnitude of each force

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Three concurrent coplanar forces `1 N, 2 N and 3 N` are acting along different directions on a body can keep the body in equilibrium,

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Three blocks with masses `m, 2m and 3m` are connected by strings, as shown in the figure. After an upward force `F` is applied on block `m`, the masses move upward at constant speed `v`. What is the net force on the block of mass `2m`? (Take, g is the acceleration due to

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A ball of mass `1 kg` hangs in equilibrium from a two strings `OA and OB` as shown in figure. What are the tensions in strings `OA and OB`? (Take, `g=10

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Given figure is the part of a horizontally stretched structure. Section AB is stretched with a force of `10 N`. The tension in the sections `BC and BF`,

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Find the force exerted by `5 kg` block on floor of lift, as shown in figure. (Take, `g =

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Three blocks `A,B and C` of masses `4kg,2 kg and 1 kg` respectively, are in contact on a frictionless surface, as shown in the figure. If a force of `14N` applied on the 4 kg block, then the contact force between A and B is

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A system consists of three masses `m_1, m_2 and m_3` connected by a string passing over a pulley `P`. The mass `m_1` hangs freely and `m_2 and m_3` are on a rough horizontal table (the coefficient of friction = `mu`.The pulley is frictionless and of negligible mass. The downward acceleration of mass `m_1` is (Assume, `m_1 = m_2 = m_3 =

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Two masses `m_1 = 1 kg and m_2 = 2 kg` are connected by a light inextensible string and suspended by means of a weightless pulley as shown in figure.Assuming that both the masses start from rest, the distance travelled by `2 kg,` mass in `2s`

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If a box is lying in the compartment of an accelerating train and box is stationary relative to the train. What force cause the acceleration of the

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A box of mass `2 kg` is placed on the roof of a car. The box would remain stationary until the car attains a maximum acceleration. Coefficient of static friction between the box and the roof of the car is `0.2 and g = 10 ms^(-2)`. The maximum acceleration of the car, for the box to remain stationary,

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A particle of mass `2 kg` is moving on a circular path of radius `10 m` with a speed of `5 ms^(-1)` and its speed is increasing at a rate of `3 ms^(-1)`. Find the force acting on the

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Two stones of masses `m and 2 m` are whirled in horizontal circles, the heavier one in a radius `r/2` and the lighter one in a radius `r`. The tangential speed of lighter stone is `n` times that of the value of heavier stone, when they experience same centripetal forces. The value of `n`

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If a car is moving in uniform circular motion, then what should be the value of velocity of a car, so that car will not moving away from the

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A person is driving a vehicle at a uniform speed of `5 ms^(-1)` on a level curved track of radius `5 m`. The coefficient of static friction between tyres and road is 0.1. Will the person slip while taking the turn with the same speed? (Take, `g=10

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A circular racetrack of radius 300 m is banked at an angle of 15°. If the coefficient of friction between the wheels of the race car and the road is 0.2. Find optimum speed of the race car to avoid wear and tear on its tyres and maximum permissible speed to avoid slipping. (Take, `g = 9.8 ms^(-2) and tan 15° =

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A car is moving in a circular horizontal track of radius 10.0 m with a constant speed of `10.0 ms^(-1)`. A plumb bob is suspended from the roof of the car by a light rigid rod of length 10.0 m. The angle made by the rod with the track is (Take,`g = 9.8

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