1. The kinetic energy of an object with mass m and velocity v is KE=1/2mv2. Find

Question

1. The kinetic energy of an object with mass m and velocity v is KE=1/2mv2. Find the dimension of KE and compare it with E=mc2 where c is the speed of light. Describe if E and KE have same or different dimensions.

2.Which one of the following statements is true concerning scalar quantities?
(a) Scalar quantities must be represented by base units.
(b) Scalar quantities have both magnitude and direction.
(c) Scalar quantities can be added to vector quantities using rules of trigonometry.
(d) Scalar quantities can be added to other scalar quantities using rules of trigonometry.
(e) Scalar quantities can be added to other scalar quantities using rules of ordinary addition.

Explanation / Answer

KE = 1/2 * mv2     where m =mass in kg     v = velocity in m/s so KE has units kg(m/s)2 dimensitions=  ML2 T-2 E = mc2 has dimensions also same     E and KE has samw dimensions. b) e) Scalar quantities can be added to other scalar quantities using rules of ordinary addition e is the correct answer. E = mc2 has dimensions also same     E and KE has samw dimensions. b) e) Scalar quantities can be added to other scalar quantities using rules of ordinary addition e is the correct answer.

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