wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

YOUNG'S MODULUS

Total questions: 10

Worksheet time: 2mins

Name
Class
Date
1.

20.0 𝑘𝑔 mass is hung from a 2.0 𝑚 long vertical wire. If the wire is elongated by 3.0 𝑚𝑚, calculate the strain energy stored in the wire.

a)

0.99 J

b)

0.29 J

c)

0.09 J

d)

0.19 J

2.

A 10.0 𝑘𝑔 mass is attached to a 3.0 𝑚 long cable. If the cable is stretched by 2.0 𝑚𝑚, calculate the strain energy stored in the cable.

a)

0.60 J

b)

0.20 J

c)

0.40 J

d)

0.80 J

3.

A 25.0 𝑘𝑔 load is hung from a 2.5 𝑚 long elastic band. If the band elongates by 5.0 𝑚𝑚, find the elastic potential energy stored in the band.

a)

1.25 J

b)

1.75 J

c)

0.50 J

d)

1.00 J

4.

A cylindrical rod with a length of 3.0 𝑚 and a cross-sectional area of 1.0 𝑐𝑚2 is subjected to a tensile force of 150 𝑁. If the rod elongates by 0.3 𝑐𝑚, calculate the Young’s modulus of the material.

a)

1.50 x 109 Pa

b)

2.50 x 1010 Pa

c)

1.50 x 1010 Pa

d)

4.50 x 1010 Pa

5.

A wire fixed to a ceiling has a length of 1.5 𝑚 and cross-sectional area 0.2 𝑐𝑚2. The wire stretches by 0.15 𝑐𝑚 when a 50 𝑘𝑔 load is attached to its free end. Calculate the Young’s modulus of the wire

a)

5.45 x 1010 Pa

b)

3.45 x 1010 Pa

c)

4.45 x 1010 Pa

d)

2.45 x 1010 Pa

6.

A 50 𝑐𝑚 wire has Young’s modulus 175 𝐺𝑃𝑎 and diameter 0.25 𝑚𝑚. Calculate the force needed to elongate the wire 1.5 𝑚𝑚.

a)

35.8 N

b)

25.8 N

c)

65.8 N

d)

45.8 N

7.

A 75 𝑐𝑚 wire has Young’s modulus 200 𝐺𝑃𝑎 and diameter 0.3 𝑚𝑚. Calculate the force required to stretch the wire 2.0 𝑚𝑚.

a)

45.2 N

b)

5575.2 N

c)

7235.2 N

d)

85.2 N

8.

A 30.0 𝑘𝑔 mass is suspended from a 2.0 𝑚 long elastic cord. If the cord stretches by 6.0 𝑚𝑚, calculate the elastic potential energy stored in the cord.

a)

0.90 J

b)

0.70 J

c)

0.50 J

d)

0.30 J

9.

A 12.0 𝑘𝑔 weight is attached to a 1.8 𝑚 long wire. If the wire is elongated by 2.5 𝑚𝑚, determine the strain energy stored in the wire.

a)

0.35 J

b)

0.25 J

c)

0.15 J

d)

0.45 J

10.

A 40 𝑐𝑚 wire has Young’s modulus 150 𝐺𝑃𝑎 and diameter 0.2 𝑚𝑚. Calculate the force needed to elongate the wire 2.0 𝑚𝑚.

a)

20.5 N

b)

30.5 N

c)

40.5 N

d)

50.5 N