Answer: The correct answer is option C.
Explanation:
Weight = Mass × Acceleration
Let the mass of the space probe be m
Acceleration due to gravity on the earth = g
Weight of the space probe on earth = W
![W=m\times g](https://tex.z-dn.net/?f=W%3Dm%5Ctimes%20g)
Acceleration due to gravity on the Jupiter = g' = 2.5g
Weight of the space probe on earth = W'
![W'=mg'=m\times 2.5g](https://tex.z-dn.net/?f=W%27%3Dmg%27%3Dm%5Ctimes%202.5g)
![\frac{W'}{W}=\frac{m\times 2.5g}{m\times g}](https://tex.z-dn.net/?f=%5Cfrac%7BW%27%7D%7BW%7D%3D%5Cfrac%7Bm%5Ctimes%202.5g%7D%7Bm%5Ctimes%20g%7D)
![W'=2.5\times W](https://tex.z-dn.net/?f=W%27%3D2.5%5Ctimes%20W)
The weight of the space probe on the Jupiter will be 2.5 times the weight of the space probe on earth.
Hence, the correct answer is option C.
Answer:
dT(t)/dt = k[T5 - T(t)]
Explanation:
Since T(t) represents the temperature of the object and T5 represents the temperature of the surroundings, according to Newton's law of cooling, the rate at which an object's temperature changes is directly proportional to the difference in temperature between the object and the surrounding medium, that is dT(t)/dt ∝ T5 - T(t)
Introducing the constant of proportionality
dT(t)/dt = k[T5 - T(t)]
which is the desired differential equation