Force f with arrow = (9.0 n)i hat − (9.0 n)k acts on a pebble with position vector r with arrow = (0.90 m)j − (1.2 m)k relative to the origin. in unit-vector notation, what are the following? (a) the resulting torque on the pebble about the origin

τ = - (8.1 N-m) i - (10.8 N-m) j - (8.1 N-m) k

Explanation:

Given

r = (0 m) i + (0.9 m) j - (1.2 m) k

F = (9 N) i + (0 N) j - (9 N) k

We can apply

τ = r x F

τ = ((0 m) i + (0.9 m) j - (1.2 m) k) x ((9 N) i + (0 N) j - (9 N) k)

⇒  τ = - (8.1 N-m) i - (10.8 N-m) j - (8.1 N-m) k

i am going to put the answers in order i dint feel like typing it out so yeah

a

d

c

b

b

b

a

d

a

b

c

c

c

b

d

out of these options:

ability to burn paper

pure sodium reacting violently with water

the boiling point of water

helium does not tend to react with anything

i would say this is a physical property:

helium does not tend to react with anything

why? :

i said helium does not tend to react with anything because well, it reacts to ! but ability to burn paper, pure sodium reacting violently with water, & the boiling point of water are chemical or

physical properties: the properties of a substance that can be observed without changing the chemical makeup of the substance

chemical properties: properties of a substance relating to the chemical nature and reactivity of the substance