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:-

$\\ \sf\longmapsto F=ma$

$\\ \sf\longmapsto Mass=\dfrac{55}{10}=5.5kg$

Dog:-

$\\ \sf\longmapsto Mass=\dfrac{110}{10}=11kg$

Option B is correct (Verified above)

Answer 2

Answer:

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

• weight = mass × acceleration

→ For the cat

${ \tt{55 = m _{cat} \times 10}} \\ \\ { \tt{m _{cat} = 5.5 \: kg }}$

→ for the dog

${ \tt{110 = m _{dog} \times 10}} \\ \\ { \tt{m _{dog} = 11 \: kg}}$

Therefore:

${ \bf{m _{cat} < m _{dog} }}$