Consider the following figure taking the coefficient fo friction,`mu` to be 0.5 and calculate the maximum compression of teh spring.
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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?

What is the acceleration of the block and trolley system shown in the figure, if the coefficient of kinetic friction between the trolley and the surface is 0.04?/ What is the tension in the string? (Take g = 10 ms^-2 ) Neglect the mass of the string.

A block f mass M is held against a rough vertical wall by pressing it with a finger. If the coefficient of friction between the block and the wall is mu and the acceleration due to gravity is g. calculate the minimum force required to be applied by the finger to hold the block against the wall?

A disc of radius R is rotating with an angular speed omega_0 about a horizontal axis. it is placed on a horizontal table. The coefficient of kinetic friction is mu_k . Calculate the time taken for the rolling to begin.

Shown in the figure, the co-efficient of friction between the flor and the body B is 0.1. The co-efficient of friction between the bodie B and A is 0.2 A force F is applied as shwon on B. The mas of A is m/2 and of b is m. Which of the following statements are true?

Consider the composite system, which is held at 300 k , shown in the following figure. Assuming ideal gas behavior, calculate the total pressure if the barriers sparating the compartments are removed. Assume that the volume of the barriers is negligible. (Given : R =0.082 atm L/mol. K)

In the figure, a body A of mass m slides on plane inclined at angle theta_1 to the horizontal and mu_1 is the coefficient of friction between A and the plane. A is connected by a light string passing over a fictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle theta_2 to the horizontal which of the following statements are true ?

An inclined plane making an angle of 30^@ with the horizontal is placed in a uniform horizontal electric of 100 V m^-1 as shown in the figure A particle of mass 1 kg and charge 0.01 C is allowed to slide down from rest from a height of 1 m. If the coefficient of frictio nis 0.2, find the time it will take the particle to reach the bottom.

A block of mass 1 kg is pushed up a surface inclined to horizontal at ang angle of 30^@ by a force of 10 N parallel to the inclined surface in the figure. shows . The coefficient of friction between bock and the incline is 0.1. If the block is pushed up by 10 m along the incline, calculate work done against force of friction