The block compresses the spring a maximum distance of 13.00 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.260. What is the work done by the spring in bringing the block to rest

The question is not complete and the complete question is;

A moving 1.60 kg block collides with a horizontal spring whose spring constant is 262 N/m.

The block compresses the spring a maximum distance of 13.00 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.260. A)What is the work done by the spring in bringing the block to rest?

B)How much mechanical energy is being dissipated by the force of friction while the block is being brought to rest by the spring?

C)What is the speed of the block when it hits the spring?

A) Work done by spring = 1.31 J

Explanation:

We are given that;

Mass(m) = 1.6 kg

Spring Constant (k) = 262 N/m

Maximum distance of compression (x) = 13 cm = 0.13m

Coefficient of kinetic friction = 0.26

Now, from Hooke's law, the work done by the spring is given by;

W = (1/2)k•x²

Plugging in the relevant values, we obtain ;

W = (1/2) x 262 x 0.13² = 1.31 J

B) The energy dissipated by the force of friction which is the work done by the friction is given by the product of the friction force and the displacement of the block.

Thus, W_f = F_f•x

Where, F_f is frictional force which is given by, F_f = μmg

μ = coefficient of kinetic friction = 0.26

F_f = 0.26 x 1.6 x 9.81 = 4.08 N

Thus,

W_f = 4.08 x 0.13 = 0.53 J

C) Now, we can find the velocity by applying conservation of energy;

Thus,

(1/2)mv² = W + W_f

(1/2)mv² = 1.31 + 0.53

(1/2)mv² = 1.84

mv² = 1.84 x 2

v² = (1.84 x 2)/1.6 = 2.3

Thus,v = √2.3 = 1.52 m/s

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a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: