Mechanical Energy Problems

A spring is stretched 0.2 m from equilibrium.  The spring constant (k) of the spring is 2500 N/m.  What is the potential energy of the spring?

• 25 J
• 50 J
• 62,500 J
• 1000 J

An archer uses 2000 J of energy to pull a bow string 0.15 m.  What is the spring constant (k) of the bow spring?

•  6,700 N/m
• 26,700 N/m
• 44,400 N/m
• 178,000 N/m

A spring is compressed 3.5 cm inside a dart gun.  What is the potential energy of the spring? (K=500 N/m)

• 0.306 J
• 3063 J
• 875 J
• 8.75 J

A compressed spring has 20,000 J of stored energy.  If the spring constant (k) is 1500 N/m, how far is the spring compressed?  

• 44.4 m
• 711 m
• 5.2 m
• 2.6 m

A 75 kg skier is standing at the top of a 25 m hill.  What would his speed be at the bottom of the hill?

• 18,375 m/s
• 11.06 m/s
• 240,000 m/s
• 22.1 m/s

Tags

NGSS.HS-PS3-1

A 5 kg ball is dropped from a height of 3 m onto a vertical spring, which has a spring constant of 800 N/m.  How much will the spring compress?

• 0.135 m
• 147 m
• 0.37 m
• 0.606 m

A 120 kg skier is going 50m/s at the bottom of the hill.  What is the height of the hill?

• 150,000 m
• 2.55 m
• 127.5 m
• 12,250 m

Tags

NGSS.HS-PS3-1

NGSS.HS-PS3-2

A vertical spring with a spring constant of 900 N/m has been compressed 0.8 m.  The vertical spring is then used to launch a 2 kg ball straight up into the air.  How high will the ball go?

• 288 m
• 360 m
• 0.07 m
• 14.7 m

Tags

NGSS.HS-PS3-1