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Hooke's Law and Elastic Potential Energy

Total questions: 15

Worksheet time: 8mins

Name
Class
Date
1.
If F is force, k is spring constant and x is extension, Hooke's Law tells us that:
a)
F=k/x
b)
x=Fk
c)
k=Fx
d)
F=kx
2.
Hooke's Law fails when a material reaches its:
a)
breakdown
b)
elastic limit
c)
end of tether
d)
fracture stress
3.
A stiff material has a:
a)
high spring constant
b)
low spring constant
c)
spring constant of any value
d)
spring constant which is difficult to predict
4.
A spring extends 1.5m under load 10N. What is its spring constant?
a)
0.15N/m
b)
10N/m
c)
6.7N/m
d)
15N/m
5.
What Quantity can you calculate from the graph and give the magnitude of that quantity.  
a)
distance 4.5 m
b)
Force 15 N
c)
spring constant 20 N/m
d)
spring constant 200 N/m
6.

A 5-newton force causes a spring to stretch 0.2 metre. What is the potential energy stored in the stretched spring?

a)

1 J

b)

0.5 J

c)

0.2 J

d)

0.1 J

7.

At point P, _______.

a)

the force applied to the spring is equal to its elongation

b)

Hooke's Law ceases to be valid

c)

the spring is can be stretched but still springs back into shape reversibly

d)

the spring constant increases

8.

Which quantity can be determined from this graph?

a)

the net force is 4N

b)

the spring is 0.4m long

c)

the stored potential energy in this spring is 1.6 J

d)

the spring constant is 10 N/m

9.
Which of the following is a true statement regarding springs?
a)
The higher the value of the spring constant, the stiffer the spring.  
b)
In Hooke's law, the force exerted by the spring acts in the same direction as displacement.  
c)
Springs are designed to provide unpredictable variations in force.  
d)
The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.  
10.
Which of the following springs is the stiffest?
a)
A spring that requires a froce of 2000 N to compress it by 6.8 m.
b)
A spring that requires a force of 4000 N to stretch it by 9.0 m. 
c)
A spring that requires a force of 8000 N to compress it by 45 m.  
d)
A spring that requires a force of 4800 N to stretch it by 14 m.
11.

A force of 20 N is applied by a mass hanging at the bottom of a spring. How heavy is the mass?

a)

2.0 g

b)

2.0 kg

c)

20 g

d)

20 kg

12.

Which statement most accurately represents Hooke's Law?

a)

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

b)

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

c)

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

d)

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

13.
Hooke's Law describes the behaviour of which kind of material under tension?
a)
plastic
b)
metals only
c)
elastic
d)
non-metals only
14.
If extension = Stretched length - original length. What is the extension of spring D.
a)
1mm
b)
2mm
c)
3mm
d)
0mm
15.

The formula for calculating elastic potential energy (Ee) is...

a)

2 x spring constant x extension2

b)

1/2 x spring constant2 x extension

c)

1/2 x spring constant x extension2

d)

1/2 x mass x extension2