Free Printable AS - Hooke's law

Worksheets

AS - Hooke's law

Total questions: 26

Worksheet time: 58mins

Name

Class

Date

A spring has a spring constant of 330 N/m. How far is the spring compressed if 150 N of force are used?

2.2 m

0.0014 m

5.0 m

0.45 m

A force of 470 N is applied to stretch a spring which has a spring constant, k=1100 N/m. How much does the spring stretch past its free length?

0.214 m

2.34 m

0.427 m

5.17 X 10^5 m

Which of the following is a true statement regarding springs?

The higher the value of the spring constant, the stiffer the spring.

In Hooke's law, the force exerted by the spring acts in the same direction as displacement.

Springs are designed to provide unpredictable variations in force.

The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.

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.

A force of F=500 N is applied to extend a spring. What is the displacement x of the spring if its spring constant is k= 540 N/m?

0.96 m

0.93 M

1.3 m

1.1 m

A net force of 430 N acts to stretch an extension spring. How far will the spring stretch if its spring constant is 700 N/m?

43.9

0.307 m

1.63 m

0.614 m

Which quantity can be calculated by calculating the gradient of this graph?

elastic potential energy

original length of this graph

spring constant

velocity of spring

According to Hooke's law; Force is equal to -

Spring Constant × Extension

Spring Constant ÷ Extension

Spring Constant + Extension

If the original length of a spring is 20m and its extended length is 30m. What is the extension?

20m

12m

75m

45m

10m

10.

A bungee rope has a spring constant of 5N/m. How much a person must weighs in Newton if we want it to extend (stretch) 10m?

20N

22cm

50N

50cm

21N

11.

What is the spring constant of a bungee rope in N/m if a person weighs 100 N if we want it to extend (stretch) 20m?

5N/m

5N/cm

10N

10N/m

12.

If a bungee rope has a spring constant of 10 N/m. How far will it extend (stretch) if a person who weighs 300 N is placed on it?

21m

30m

31cm

21miles

None of the above

13.

What Quantity can you calculate from the graph and give the magnitude of that quantity.

distance 4.5 m

Force 15 N

spring constant 20 N/m

spring constant 200 N/m

14.

A stiff material has a:

high spring constant

low spring constant

spring constant of any value

spring constant which is difficult to predict

15.

If F is force, k is spring constant and x is extension, Hooke's Law tells us that:

F=k/x

x=Fk

k=Fx

F=kx

16.

If extension = Stretched length - original length. What is the extension of spring D.

1mm

2mm

3mm

0mm

17.

When same masses are hung on two springs, one of them extends more than other as in the figure. Which one has a greeter spring constant?

the one on the left

the one on the right

18.

When 100g mass is hung the spring extends 10cm as in the figure. What is the spring constant of the spring? (take g=10N/kg)

$\frac{1}{10}$ N/cm

$\frac{10}{1}$ N/cm

$\frac{1}{20}$ N/cm

10 N/cm

19.

A spring with k=73 N/m is compressed 70 cm. An object of mass 4 kg is attached to one end of the compressed spring. What is the acceleration of the object at the moment the spring is released?

.078 m/s/s

0.17 m/s/s

13 m/s/s

1.3 X 10^5 m/s/s

20.

Which of the following is a true statement regarding springs?

The higher the value of the spring constant, the stiffer the spring.

In Hooke's law, the force exerted by the spring acts in the same direction as displacement.

Springs are designed to provide unpredictable variations in force.

The force exerted by a spring has a quadratic relationship with the displacement form equilibrium.

21.

A spring with spring constant 16 N/m is compressed by 0.5 m. How much energy is stored in the spring?

1 J

0.25 J

2 J

16 J

22.

What equation is used to calculate elastic potential energy?

E_{p = m g h}

E_{p = 1/2 k x}²

E_{p = F / E d}

23.

Leo (70 Kg) stretches the trampoline mat by 37 cm. Calculate the elastic potential energy he puts into the trampoline mat.

4.79 J

126.9 J

47.9 J

12.76. J

24.

Which position shows the spring with maximum elastic potential energy?

25.

a spring with a stiffness of 120 N/m is stretched for 15 cm by a heavy back suspended on it. then the elastic potential energy stored by the spring is:

15 J

1.35 J

120 J

9 J

26.