To stimulate car accidents auto manufacturers study the collisions of moving cars with mounted springs of different spring constants. Consider a typical simulation with a car of mass 1000 kg moving with a speed 18 km/h on a smooth road and colliding with a horizontally mounted spring of a spring constant 6.25 10^3N/m. what is the maximum compression of the spring?

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the maximum speed of the mass

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine maximum acceleration of the mass,

A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Fig. 14.24. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.Determine the frequency of oscillations,

An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 50,000 kg is moving with a speed of 36 km h^-1 when the brakes are applied to bring it to rest. In the proces of the system being brought to rest, the spring of the shock absorber gets compressed by 1.0 m. If 90% of energy of te wagon is lost due to friction. calculate the spring constant.

A 1 kg block situated on a rough incline is connected to a spring of spring constant 100N m^-1 as shown in Fig. 6.17. The block is released from rest with the spring in the unstretched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.

Two bodies of masses 1 kg and 3 kg respectively are connected rigidly by a vertical spring. The body of mass 3 kg rests on a smooth horizontal surface. The force constant of the spring is 484Nm^(-1) . From the equilibrium position, the mass of 1 kg is displaced vertically through a distance of 0.02 m and then released. calculate (i) and frequency of oscillation of the mass of 1 kg (ii) the maximum velocity of this mass (iii) its oscillation energy and (iv) the reaction of the table on the mass of 3 kg, when mass 1 kg is having harmonic oscillations.

Two moving coil meters, M_1 and M_2 have the following particulars: R_1 = 10Omega , N_1 = 30. A_1 = 3.6 xx 10^-3 m^2 , B_1 = 0.25 T R_2 = 14Omega , N_2 = 42, A_2=1.8Xx10^-3 m^2 , B_2 =0.50T (The spring constants are identical for the two meters). Determine the ratio of current sensitivity