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A batsman hits back at ball straight in the direction of the bowler without changing its initial speed of `12ms^(-1)`. If the mass of the ball is 0.15 kg, find the impulse imparted to the ball. (Assume linear motion of the
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The force-time (F -t) graph for linear motion of a body initially at rest is shown in figure. The segments shown are circular, the linear momentum gained in `4 s`
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Every action has an equal and opposite reaction, which suggests
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An initially stationary device lying on a frictionless floor explodes into two pieces and slides across the floor. One piece is moving in positive `x`-direction then other piece is moving
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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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