# Answer to Question #25820 in Mechanics | Relativity for nthabiseng

Question #25820

1. Is it possible for two quantities to have the same dimensions but different units?

a) Yes b) No c) Yes only with Length d) Yes only with Time

e) Yes only with Mass

2. Is it possible for two quantities to have the same units but different dimensions?

a) Yes b) No c) Yes only with Length d) Yes only with Time

e) Yes only with Mass

3. One can always add two numbers that have the same units. Can one always add two numbers that have the same dimensions?

a) Yes b) No c) Yes only with Length d) Yes only with Time

e) Yes only with Mass

4. Which of the following equations are the units on the left side of the equals sign consistent with the units on the right side:

a) b) c) d)

e) None of them

Suppose we are told that the acceleration of a particle moving in a circle of radius r with uniform velocity v is proportional to some power of r according to the equation

where k is a dimensionless constant.

5. The value of n is

a) 0 b) 1 c) -1 d) 2 e) None of them

6. The value of m is

a) 0 b) 1 c) -1 d) 2 e) None of them

7. The equation of a in terms of the values of n and m

a)

b)

c)

d)

e) None of them

We're given an equation involving force, radius, length, speed, and distance, and are asked for the dimensions and SI units of eta ( ), which is viscosity.

8. The dimensions of is

a) b) c) ML-1T-1

a) Yes b) No c) Yes only with Length d) Yes only with Time

e) Yes only with Mass

2. Is it possible for two quantities to have the same units but different dimensions?

a) Yes b) No c) Yes only with Length d) Yes only with Time

e) Yes only with Mass

3. One can always add two numbers that have the same units. Can one always add two numbers that have the same dimensions?

a) Yes b) No c) Yes only with Length d) Yes only with Time

e) Yes only with Mass

4. Which of the following equations are the units on the left side of the equals sign consistent with the units on the right side:

a) b) c) d)

e) None of them

Suppose we are told that the acceleration of a particle moving in a circle of radius r with uniform velocity v is proportional to some power of r according to the equation

where k is a dimensionless constant.

5. The value of n is

a) 0 b) 1 c) -1 d) 2 e) None of them

6. The value of m is

a) 0 b) 1 c) -1 d) 2 e) None of them

7. The equation of a in terms of the values of n and m

a)

b)

c)

d)

e) None of them

We're given an equation involving force, radius, length, speed, and distance, and are asked for the dimensions and SI units of eta ( ), which is viscosity.

8. The dimensions of is

a) b) c) ML-1T-1

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