(a)

Step 1:

Spring constant k = 5000 N/m.

Angle of inclination is 35.0°.

Spring is compressed by a distance 1.20 cm = 0.012 m

Weight of the block of the mass is 45.0 g = 0.045 kg.

When the block is at the upper end of the spring, spring is compressed by a distance of x and the block moves to a distance of d.

Here the force exerted by the spring is equal to the force exerted by the block.

Force exerted by the spring .

Force exerted by the block .

According to the law of conservation of energy : .

Block moves up by a distance .

(b)

Step 1:

Spring constant k = 5000 N/m.

Angle of inclination is 35.0°.

Spring is compressed by a distance 1.20 cm = 0.012 m.

Weight of the block of the mass is 45.0 g = 0.045 kg.

Coefficient of friction is 0.300.

When the block is at the upper end of the spring, spring is compressed by a distance of x and the block moves to a distance of d.

Here the force exerted by the spring is equal to the force exerted by the block.

Force exerted by the spring .

Force exerted by the block .

According to the law of conservation of energy : .

Block moves up by a distance .