Answer:
29.2 ft/s
Explanation:
The distance of the light's projection on the wall
y = 13 tan θ
where θ is the light's angle from perpendicular to the wall.
The light completes one rotation every 3 seconds, that is, 2π in 3 seconds,
Angular speed = w = (2π/3)
w = (θ/t)
θ = wt = (2πt/3)
(dθ/dt) = (2π/3)
y = 13 tan θ
(dy/dt) = 13 sec² θ (dθ/dt)
(dy/dt) = 13 sec² θ (2π/3)
(dy/dt) = (26π/3) sec² θ
when θ = 15°
(dy/dt) = (26π/3) sec² (15°)
(dy/dt) = 29.2 ft/s
Answer:
The max. Energy that can be stored in the neoprene rubber capacitor will be 0.304J
Explanation:
Detailed explanation and calculation is shown in the image below
Answer:
The maximum mass the bar can support without yielding = 32408.26 kg
Explanation:
Yield stress of the material (
) = 200 M Pa
Diameter of the bar = 4.5 cm = 45 mm
We know that yield stress of the bar is given by the formula
Yield Stress = 
⇒
=
---------------- (1)
⇒ Area of the bar (A) =
×
⇒ A =
× 
⇒ A = 1589.625 
Put all the values in equation (1) we get
⇒
= 200 × 1589.625
⇒
= 317925 N
In this bar the
is equal to the weight of the bar.
⇒
=
× g
Where
is the maximum mass the bar can support.
⇒
= 
Put all the values in the above formula we get
⇒
= 
⇒
= 32408.26 Kg
There fore the maximum mass the bar can support without yielding = 32408.26 kg
An electromagnet is made from a coil of wire which acts as a magnet when an electric current passes through it. Often an electromagnet is wrapped around a core of ferromagnetic material like steel, which enhances the magnetic field produced by the coil.
suitcase can be pushed to a distance of 0.35 m
Explanation:
Work done= Ff d
w= 670 J
Ff= force of friction
d= distance
force of friction is given by Ff=μ mg
μ= coefficient of friction=2.76
m=mass=71.5 kg
so Ff= (2.76) (71.5) (9.8)
Ff=1934 N
so W= Ff d
670= 1934 d
d=0.35 m