respectively

A block of mass m is in contact with the cart as shown in figure. The coefficient of static friction between the block and the cart is . The acceleration of the cart that will prevent the block from falling satisfies A plank with a box on it at one end is gradually raised about [...]

The upper half of an inclined plane of inclination θ is perfectly smooth while the lower half rough. A block starting from rest at the top of the plane will again come to rest at the bottom if the coefficient of friction between the block and the lower half of the plane is given by. [...]

A plank with a box on it at one end is gradually raised about the other end. As the angle of inclination with the horizontal reaches 30, the box starts to slip and slides 4.0 m down the plank in 4.0 s. The coefficients of static and kinetic friction between the box and the plank [...]

A mango in a tree is located at a horizontal and vertical distnace of 30 m and 40 m, respectively, from the point of projection of a stone. Find the minimum speed and the critical angle of projection of the stone so as to hit the mango. A mango in a tree is located at [...]

Two immiscible liquids of densities p and 2p and thickness (hight) h and 2h, respectively, pish a vertical plate. Find the total side thrust given the liquids on the vertical plate. pish a vertical plate. Find the total side thrust given the liquids on the vertical plate. respectively Two immiscible liquids of densities p and [...]

A physical quantity x is calculated from the relation x = ( a^(2) b^(3))/(c sqrt( d)). If the percentage error in a, b , c , and d are 2% , 1% , 3%, and 4%, respectively , what is the percentage error in x? 1 3% A physical quantity x is calculated from the [...]

An observer moves towards a stationary source of sound with a speed 1/5 th of the speed of sound. The wavelength and frequency of the source emitted are λ and f, respectively. The apparent frequency and wavelength recorded by the observer are, respectively. An observer moves towards a stationary source of sound with a speed [...]

Charges q_(1) , q_(2) and q_(3) are placed on capacitors of capacitance C_(1), C_(2) and C_(3), respectively, arranged in series as shown. Switch S is there closed. What are the final charges q’_(1), q’_(2) and q’_(3) on the capacitors? Given q_(1)=30muC, q_(2)=muC, q_(3)=10muC, C_(1)=10muF, C_(2)=20muF, C_(3)=30muF and epsilon=12″volt” arranged in series as shown. Switch S [...]

Show that the position vector of a place on the surface of the earth with latitude and longitude α∘N and β∘E respectively, is r→ = R cos α sin βiˆ+ R cos α cos βjˆ+ R sin α kˆ, where R is the radius of the earth.The frame of reference is erected at the centre [...]

If b and c are the intersecting face diagonals of a cube of side x in plane XOY and YOZ, respectively, with respect to reference frame at the point of intersection of the vectors and sides of cube as the axes, the components of vectors If a and b are the intersecting face diagonals of [...]