Question

A cat that weighs 55 N sits on the top of a cat tree. It is 2 m above a 110 N

dog. How does the mass of the animals relate to the force of gravity on
them?
A. The mass of the 55 N cat will be the same as the mass of the 110
N dog after it jumps to the ground.
B. The 55 N cat has less mass than the 110 N dog.
C. The mass of the 55 N cat is greater than the mass of the 110 N
dog.
D. The 55 N cat has the same mass as the 110 N dog when it is in
the cat tree.
SUBMIT

Answer 1

• Take g=10m/s^2

Cat:-

`\\ \sf\longmapsto F=ma`

`\\ \sf\longmapsto Mass=(55)/(10)=5.5kg`

Dog:-

`\\ \sf\longmapsto Mass=(110)/(10)=11kg`

Option B is correct (Verified above)

Answer 2

Answer: B. The 55 N cat has less mass than the 110 N dog.

• weight = mass × acceleration

→ For the cat

`{ \tt{55 = m _(cat) * 10}} \\ \\ { \tt{m _(cat) = 5.5 \: kg }}`

→ for the dog

`{ \tt{110 = m _(dog) * 10}} \\ \\ { \tt{m _(dog) = 11 \: kg}}`

Therefore:

`{ \bf{m _(cat) < m _(dog) }}`