Hooke's Law and Elastic Potential Energy

When a 1.53-kilogram mass is placed on a spring with a spring constant of 30.0 newtons per meter, the spring is compressed 0.500 meter. How much energy is stored in the spring?

• 3.75 J

• 7.50 J

• 15.0 J

• 30.0 J

Tags

NGSS.HS-PS3-2

What is the spring constant for this spring?

• 0.020 N/m

• 2.0 N/m

• 25 N/m

• 50. N/m

A spring with a spring constant of 4.0 newtons per meter is compressed by a force of 1.2 newtons. What is the total elastic potential energy stored in this compressed spring?

• 0.18 J

• 0.36 J

• 0.60 J

• 4.8 J

Tags

NGSS.MS-PS3-2

A spring gains 2.34 joules of elastic potential energy as it is compressed 0.250 meter from its equilibrium position. What is the spring constant of this spring?

• 9.36 N/m

• 18.7 N/m

• 37.4 N/m

• 74.9 N/m

Tags

NGSS.HS-PS3-1

A 10-newton force is required to hold a stretched spring 0.20 meter from its rest position. What is the potential energy stored in the stretched spring?

• 1.0 J

• 2.0 J

• 5.0 J

• 50 J

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

A catapult with a spring constant of 1.0 × 10⁴ newtons per meter is required to launch an airplane from the deck of an aircraft carrier. The plane is released when it has been displaced 0.50 meter from its equilibrium position by the catapult. The energy acquired by the airplane from the catapult during takeoff is approximately

• 1.3 × 10³ J

• 2.0 × 10⁴ J

• 2.5 × 10³ J

• 1.0 × 10⁴ J

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

A vertical spring has a spring constant of 100 newtons per meter. When an object is attached to the bottom of the spring, the spring changes from its unstretched length of 0.50 meter to a length of 0.65 meter. The magnitude of the weight of the attached object is

• 1.1 N

• 15 N

• 50 N

• 65 N

Tags

NGSS.HS-PS2-1

A spring has a spring constant of 5 N/cm. What is its extension when loaded with 15 N?

• x = 4 cm

• x = 5 cm

• x = 3 m

• x = 3 cm

Tags

NGSS.MS-PS2-2

Which of the following springs is the stiffest?

• A spring that requires a froce of 2000 N to compress it by 6.8 m.

• A spring that requires a force of 4000 N to stretch it by 9.0 m. 

• A spring that requires a force of 8000 N to compress it by 45 m.  

• A spring that requires a force of 4800 N to stretch it by 14 m.

Which statement most accurately represents Hooke's Law?

• Extension of a spring is proportional to the force applied.

• Extension of a spring is proportional to the number of coils.

• Extension of a spring is inversely proportional to the force applied.

• Thickness of a spring wire is proportional to the force applied.