when the apple moves in a horizontal circle, the tension force in the string provides the necessary centripetal force to move in circle. the tension in the string is given as
T=mv²/r
where T = tension force in the string , m = mass of the apple
v = speed of apple , r = radius of circle.
clearly , tension force depends on the square of the speed. hence greater the speed, greater will be the tension force.
at some point , the speed becomes large enough that it makes the tension force in the string becomes greater than the tensile strength of the string. at that point , the string breaks
Answer:
The smallest diameter is 
Explanation:
From the question we are told that
The resolution of the telescope is 
The wavelength is 
From the question we are told that

So 
Therefore


Now 
So 
=> 

The smallest diameter is mathematically represented as

substituting values


Answer:
K' = 1777.777 J
Explanation:
Given that
m = 40 kg
v= 15 m/s
K=1000
Given that kinetic energy(K) varies with mass(m) and velocity(v)
K= C(mv²)
Where
C= Constant
m=mass
v=velocity
When
m = 40 kg ,v= 15 m/s ,K=1000
K= C(mv²)
1000 = C( 40 x 15²)
C=0.111111
When m = 40 kg and v= 20 m/s
K' = C(mv²)
K= 0.1111 x (40 x 20²)
K' = 1777.777 J
"2 km/hr/s" means that in each second, its engines can increase its speed by 2 km/hr.
If it keeps doing that for 30 seconds, its speed has increased by 60 km/hr.
On top of the initial speed of 20 km/hr, that's 80 km/hr at the end of the 30 seconds.
This whole discussion is of <em>speed</em>, not velocity. Surely, in high school physics,
you've learned the difference by now. There's no information in the question that
says anything about the train's <em>direction</em>, and it was wrong to mention velocity in
the question. This whole thing could have been taking place on a curved section
of track. If that were the case, it would have taken a team of ace engineers, cranking
their Curtas, to describe what was happening to the velocity. Better to just stick with
speed.
Answer:
A. a = 814.815 ft/s^2.
B. Distance, S = 320 ft.
Explanation:
Equations of motion
i. vf = vi + a*t
ii. S = vi*t + 1/2*(a*t)
iii. vf^2 = vi^2 + 2a*S
Given:
vi = 0 ft/s
vf = 1000 miles/hr
t = 1.8 s
g = 32 ft/ s2
Converting miles/hr to ft/s,
1 mile = 5280 ft
Also, 1 hr = 60 mins * 60s
= 3600 s
Therefore, 1000 miles/hr * 5280 ft/1 mile * 1 hr/3600 s
= 1466.7 ft/s.
A.
Using the i. Equation of motion,
1466.7 = 0 + a*1.8
a = 814.815 ft/s^2
Comparing a to g,
a = (814.815/32) * g
= 25.46 g
B.
Using the ii. Equation of motion,
S = 1/2 * (814.815) * (1.8)^2
= 1320 ft.