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Mechanical Energy Problems

Total questions: 8

Worksheet time: 13mins

Name
Class
Date
1.
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?
a)
25 J
b)
50 J
c)
62,500 J
d)
1000 J
2.
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?
a)
 6,700 N/m
b)
26,700 N/m
c)
44,400 N/m
d)
178,000 N/m
3.
A spring is compressed 3.5 cm inside a dart gun.  What is the potential energy of the spring? (K=500 N/m)
a)
0.306 J
b)
3063 J
c)
875 J
d)
8.75 J
4.
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?  
a)
44.4 m
b)
711 m
c)
5.2 m
d)
2.6 m
5.
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?
a)
18,375 m/s
b)
11.06 m/s
c)
240,000 m/s
d)
22.1 m/s
6.
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?
a)
0.135 m
b)
147 m
c)
0.37 m
d)
0.606 m
7.
A 120 kg skier is going 50m/s at the bottom of the hill.  What is the height of the hill?
a)
150,000 m
b)
2.55 m
c)
127.5 m
d)
12,250 m
8.
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?
a)
288 m
b)
360 m
c)
0.07 m
d)
14.7 m