Answer:
605 J
Explanation:
Efficiency = work out / work in
0.78 = W / 775 J
W = 605 J
The speed of light in glass is slower than the speed of light through space.
Answer: y(t)= 1/π^2 sin(6*π^2*t)
Explanation: In order to solve this problem we have to consider the general expression for a harmonic movement given by:
y(t)= A*sin (ω*t +φo) where ω is the angular frequency. A is the amplitude.
The data are: ν= 3π; y(t=0)=0 and y'(0)=6.
Firstly we know that 2πν=ω then ω=6*π^2
Then, we have y(0)=0=A*sin (6*π^2*0+φo)= A sin (φo)=0 then φo=0
Besides y'(t)=6*π^2*A*cos (6*π^2*t)
y'(0)=6=6*π^2*A*cos (6*π^2*0)
6=6*π^2*A then A= 1/π^2
Finally the equation is:
y(t)= 1/π^2 sin(6*π^2*t)
Answer:
The dog has more momentum than the pony.
Explanation:
To solve this problem, we must remember the formula for calculating momentum, which is given below:
momentum = p = m*v
where m represents the mass of the object and v represents the velocity of the object
Using this knowledge, let's calculate the momentum for the dog and the pony.
Dog: p = m*v = (2kg)*(41 m/s) = 82 kg*m/s
Pony: p = m*v = (75kg)*(1 m/s) = 75 kg*m/s
Since 82 > 75, we can conclude that the dog has more momentum.
Hope this helps!
Answer:
16.63min
Explanation:
The question is about the period of the comet in its orbit.
To find the period you can use one of the Kepler's law:

T: period
G: Cavendish constant = 6.67*10^-11 Nm^2 kg^2
r: average distance = 1UA = 1.5*10^11m
M: mass of the sun = 1.99*10^30 kg
By replacing you obtain:

the comet takes around 16.63min