A block of mass `500g` and specific heat `400J//KgK` is attached with a spring of spring constant `800 N//m`. Now block is dipped in water of mass `1kg` and specific heat `4184J//KgK`. Now the spring is elongated by `2cm` and released. Find rise in temperature of water and block system when block finally comes to rest.
A block of mass 0.1 kg attached to a spring of spring constant 400 N/m is pulled rightward from x_(0)=0 to x_(1)=15 mm. Find the work done by spring force.
a block of mass 0.1 kg attached to a spring of spring constant 400 N/m pulled horizontally from x=0 to x_1 =10 mm. Find the work done by the spring force
A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Approximate distance travelled by the block when it comes to rest for a second time (not including the initial one) will be (Take sqrt(45)=6.70 )
A block of mass 2kg is attached with a spring of spring constant 4000Nm^-1 and the system is kept on smooth horizontal table. The other end of the spring is attached with a wall. Initially spring is stretched by 5cm from its natural position and the block is at rest. Now suddenly an impulse of 4kg-ms^-1 is given to the block towards the wall. Find the velocity of the block when spring acquires its natural length
A block of mass m is attached to two unstretched springs of spring constant k , each as shown. The block is displaced towards right through a distance x and is released The speed of the block as it passes through the mean position will be
A block of mass m = 4 kg is kept on an incline connected to a spring (see fig). The angle of the incline is theta = 30^(@) and the spring constant is K = 80 N/m. There is a very small friction between the block and the incline. The block is released with spring in natural length. Find the work done by the friction on the block till the block finally comes to rest.[ g = 10 m//s^2 ]
A block of 2 kg is suspended from the ceiling trhough a massless spring of spring constant k=100 N/m. What is the elongation of the spring? If another 1 kg is dded to the block, what would be the further eleongation?
Two blocks of masses 6 kg and 3 kg are attached to the two ends of a massless spring of spring constant 2 pi^(2) N//m . If spring is compressed and released on a smooth horizontal surface then find the time period (in seconds) of each block.
A metal block of density 6000 kg m^(-3) and mass 1.2 kg is respended throught a spring of spring constant 200Nm^(-1) .The spring - block system is dipped in water kept in a vessel .The water has a mass of 250g and the block is at a height 40cm above the bottom of the vassel .If the support to the spring is broken , what will be the rise in the temperature of the water specific beat capacity of the block is 250J kg^(-1)K^(-1) and that of water is 4200J kg^(-1)K^(-1) Head capacities of the vessel and the spring are nogligible