Numbers

Question 1

What are the units of impulse? (derived unit and derivation)

Answer 1

N*s = kg(m/s)

Question 2

What are the units of impulse? (derived unit and derivation)

Answer 2

N*s = kg(m/s)

Question 3

cos(0)=?

Answer 3

1=(4/4)^1/2=1

Question 4

What is the specific heat of water?

Answer 4

1 c/(gram°C)=4.186 J/(gram°C)

Question 5

cos(60)=?

Answer 5

0.5=(1/4)^1/2

Question 6

What is the relationship among the different units for heat?

Answer 6

1 Cal = 103 cal = 3.97 Btu = 4184J

Question 7

log(15)=?

Answer 7

1.17

Question 8

log(100)=?

Answer 8

2

Question 9

cos(90)=?

Answer 9

0=(0/4)^1/2

Question 10

cos(45)=?

Answer 10

0.7=(1/2)^1/2=(2/4)^1/2

Question 11

log( e )=?

Answer 11

log(2)=log(2.72)=0.43

Question 12

What are the units of force? (derived unit and derivation)

Answer 12

N = kg(m/s²)

Question 13

sin(45)=?

Answer 13

0.7=(1/2)^1/2=(2/4)^1/2

Question 14

sin(60)=?

Answer 14

0.86=(3^1/2)/2=(3/4)^1/2

Question 15

log(10)=?

Answer 15

1

Question 16

What are the units of pressure? (derived unit, derivation, and conversion)

Answer 16

pascal (Pa = N/m2 = kg/(ms2)

1 atm = 760 mmHg = 760 Torr = 105 Pa (N/m2)

Question 17

What are the units of kinetic energy (derived unit and derivation)

Answer 17

J = N*m = kgm2/s2

Question 18

What is log in relation to an exponent?

Answer 18

• A logarithm is simply the inverse of an exponent. That is, if 10^A = B, then log₁₀B = A.
• A numerical example would be that 10² = 100, so log₁₀(100) = 2. Unless otherwise indicated, it can be assumed that “log” means log base 10. Some log values to be familiar with are log(0.01) = -2, log(0.1) = -1, log(1) = 0, log(3) ≈ 0.5, log(10) = 1, and log(100) = 2, from which you can predict log values for larger powers of 10.

Question 19

sin(30)=?

Answer 19

0.5=(1/4)^1/2

Question 20

log(1)=?

Answer 20

0

Question 21

What is the relationship between log and ln?

Answer 21

2.3 × log₁₀(N) = ln(N)

Question 22

sin(90)=?

Answer 22

1=(4/4)^1/2=1

Question 23

cos(30)=?

Answer 23

0.86=(3^1/2)/2=(3/4)^1/2

Question 24

sin(0)=?

Answer 24

0=(0/4)^1/2