Answer:
friction reduces the efficiency of machines, thus we must reduce the friction force that is acting upon it.
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Hi there!
The period is given by:

T = Period (sec)
w = angular frequency (rad/sec)
According to the equation for SHM in terms of position:
y(t) = Asin(ωt + φ)
A = Amplitude (m)
ω = angular frequency (rad/sec)
t = time (sec)
φ = phase angle
In this instance, the angular frequency is given as 18π.
Plug this value into the equation for T:

Answer: 
Explanation:
Combined gas law is the combination of Boyle's law, Charles's law and Gay-Lussac's law.
The combined gas equation is,
where,
= initial pressure of gas at STP = 1 atm
= final pressure of gas = 2.67 atm
= initial volume of gas =
= final volume of gas = ?
= initial temperature of gas at STP =
= final temperature of gas =
Now put all the given values in the above equation, we get:

Thus the final volume will be 
Answer:
velocity of girl with respect to surface of ice 1.154 m/s
Explanation:
Plank Mass , M = 150 kg
Girl Mass , m = 45 kg
velocity of the girl with resect to plank, v1 = 1.50 m/s
velocity of the plank + girl = v2
from the conservation of momentum
Momentum (plank+girl) = - momentum of the girl
(M+m)v2 = -mv1
v2 = -(45 kg)/(195 kg) * 1.50
v2 = -0.346 m/s
velocity of girl with respect to surface of ice =
v1+v2 = 1.50 + (-0.346) = 1.154 m/s