The force of gravity between two objects is increased when the mass of objects is increased.
It's not so much a "contradiction" as an approximation. Newton's law of gravitation is an inverse square law whose range is large. It keeps people on the ground, and it keeps satellites in orbit and that's some thousands of km. The force on someone on the ground - their weight - is probably a lot larger than the centripetal force keeping a satellite in orbit (though I've not actually done a calculation to totally verify this). The distance a falling body - a coin, say - travels is very small, and over such a small distance gravity is assumed/approximated to be constant.
Answer:
I should be active for 15 hours to meet the physical activity requirement.
Explanation:
Since time dilates in moving objects, we use the formula t = t₀/√(1 - β²) where t = time in space vehicle, t₀ = time on earth = 9 hours and β = v/c where v = speed of space vehicle = 0.8c.
So, t = t₀/√(1 - β²)
t = 9/√(1 - (v/c)²)
= 9/√(1 - (0.8c/c)²)
= 9/√(1 - (0.8)²)
= 9/√(1 - (0.64)
= 9/√0.36
= 9/0.6
= 15 hr
So, according to a timer on the space vehicle, I should be active for 15 hours to meet the physical activity requirement.
Answer:
The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58
Explanation:
Given that,
Length of plates = 8 cm
Width = 5.52 cm
Distance = 1.99 cm
Dielectric constant = 2.6
Length = 4.4 cm
Potential = 0.8 V
We need to calculate the initial capacitance
Using formula of capacitance

Put the value into the formula


We need to calculate the final capacitance
Using formula of capacitance

Put the value into the formula


We need to calculate the ratio of the new potential energy to the potential energy before the insertion of the dielectric
Using formula of energy

Put the value into the formula


Hence, The ratio of the new potential energy to the potential energy before the insertion of the dielectric is 0.58