As shown below, a block of mass m = 26 kg is being held at rest on a frictionles

Question

As shown below, a block of mass m = 26 kg is being held at rest on a frictionless inclined plane whose angle of inclination is theta = 38 degree by a spring of spring constant k = 850 N/m. How much is the spring stretched? a) 18 cm b) 28 cm c) 38 cm d) 48 cm A block with a mass of 62 kg is released from rest at a distance of 12,000 km above the surface of the Earth, and it falls to the ground. When the block is first released, what is its acceleration toward the ground? a) 1.2 m/s^2 b) 2.4 m/s^2 c) 3.6 m/s^2 d) 4.8 m/s^2

Explanation / Answer

here,

1)

m = 26 kg

theta = 38 degree

K = 850 N/m

let the spring streches x m

equating the forces

k*x = m * g * sin(theta)

850 * x = 26 * 9.81 * sin(38)

solving for x

x = 0.18 m = 18 cm

the spring streches a) 18 cm

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