The coefficient of friction is 0.39
Explanation:
The equation of the forces along the direction parallel to the incline is the following:
(1)
where
is the component of the weight parallel to the incline (acting downward), with
m = 50 kg being the mass of the couch
(acceleration of gravity)
is the angle of the ramp
is the force of friction, acting up along the plane, with
being the coefficient of friction
N is the normal force
is the acceleration
The equation of the forces along the direction perpendicular to the plane is
(2)
where is the component of the weight perpendicular to the plane
From (2) we find
And substituting into (1)
And solving for , we find
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Answer:
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Answer:
Explanation:
Angular speed of the motion ( SHM )
ω = √k/m
= √(580/.23 )
= 50.20 radian /s
a ) Rate of doing work
= power = force x velocity
At the equilibrium position force becomes zero so
rate of doing work is zero.
b )
If a be the amplitude
1/2 k a² = 170
a = .7655 m
kinetic energy at equilibrium = 1/ 2 m v₀²
1/ 2 m v₀² = 170
.5 x 23 v₀² = 170
v₀ = 3.84 m /s which is the maximum velocity.
Given x = .66 where rate of doing work is to be calculated.
Force at x = ω² x
= 50.20² x .66 =
= 1663.22 N
Velocity v = v₀ √( a² - x² )
= 3.84 √( .7655² - .66 )
= 3.84 x .387
= 1.486 m/s
power = force x velocity
= 1663.22 x 1.486
= 2471.55 W .
Fe=K Q1/Q2/d2
Q1 is the first charge
Q2 is the second charge
d is the distance
K= 9x10^9 NM^2/C2
Now let’s plug the numbers
Fe=9x10^9NM^2/C2 (2x10^-4C)(8x10^-4C) / (0.3m^2) you notice we took away the negative charges when we plugged the charges
Ok now we notice that we have C2 which is C to the power 2 we can write it as C^2 and we have two CSU’s beside each one of the charges we can get rid of them all by curtailment
And we can curtailment the M^2and the other M^2
Now we left with only 9x10^9N (2x10^-4)(8x10^-4)/ 0.3
Let’s multiply the (9)(2)(8)=144
And add the exponents (9)+(-4)+(-4)=1
So now we got 144x10N divide by the distance which is 0.3
144x10N / 0.3 = 4800N
Hope it helps u understand :)
Hello there!
You need to use the correct formula for that:
Average speed = total distance/ total time needed
Average speed = (54 + 85)/(1 + 3)
Average speed = 139/4
Average speed = 34.75 kilometers per hour
As always, it is my pleasure to help students like you!