A light spring has a force constant of 70 N/m and is used to pull a 10 kg box on a horizontal frictionless surface. If the box has an acceleration of 5

m/s2, by how much does the spring stretch if it pulls on the sled at 30.0° above the horizontal?

88.9 cm

50.7 cm

82.4 cm

66.3 cm

Question

Brenden Dominguez

3 October, 15:17

+4

Answers (1)

Know the Answer?

Emma Dickson · Answer 1

82.4 cm

Explanation:

∑F = ma

kx cos θ = ma

x = ma / (k cos θ)

x = (10 kg) (5 m/s²) / (70 N/m cos 30.0°)

x = 0.824 m

x = 82.4 cm

A light spring has a force constant of 70 N/m and is used to pull a 10 kg box on a horizontal frictionless surface. If the box has an acceleration of 5m/s2, by how much does the spring stretch if it pulls on the sled at 30.0° above the horizontal?88.9 cm50.7 cm82.4 cm66.3 cm