A summit curve is formed at the intersection of a 3% upgrade and a 5% downgrade. What is the length of the summit curve in order to provide a stopping distance of 128 m ?

Two spheres of mass 15 kg and 20 kg, move along a straight line in the same direction with velocities of 20 m/s and 5 m/s, respectively. If the coefficient of restitution is 0.7, then the velocity of the 15 kg mass after collision will be

In a project, the contractor is paid on the basis of the running bill for a month. The rate contract for concreting is Rs. 1000/m^{3} of concrete. The consumption of number of cement of bags of weight 50 kg is 527. The mix proportion for the concrete is 1: 1.4 : 2.75 with W/C ratio of 0.52. The approximate billing amount of the month will be