Answer:
d = 136.7 ft
Explanation:
Because the truck move with uniformly accelerated movement we apply the following formula:
vf²=v₀²+2*a*d Formula (1)
Where:
d:displacement in meters (ft)
v₀: initial speed in ft/s
vf: final speed in ft/s
a: acceleration in ft/s²
Data
v₀ = 44.0 mi/h
1milla = 5280 ft
1h = 3600 s
v₀ = 44*(5280 ft) / (3600 s) = 64.5 ft/s
vf = 0
d = 47.0 ft
Calculation of the acceleration of the truck
We replace data in the formula (1) :
vf²=v₀²+2*a*d
0 = (64.5)²+2*a*(47)
-(64.5)² = (94)*a
a = -(64.5)² / 94
a = - 44.26 ft/s²
The acceleration (a) it's negative (-) because the truck is braking
Calculation of the minimum stopping distance of the truck to v₀ = 75.0 mi/h
v₀ = 75 mi/h = 75* (5280 ft) / (3600s) = 110 ft/s
We replace v₀ = 110 ft/s and a = - 44.26 ft/s² in the formula (1):
vf²=v₀²+2*a*d
0 = (110)²+2*(-44.26)*d
88.52*d = (110)²
d = (110)² / (88.52)
d = 136.7 ft
Answer:
Explanation:
Given:
specific heat capacity of quartz,
mass of water,
initial temperature of quartz,
initial temperature of water,
final settled temperature of water after quartz is put into it,
Now by the law of conservation of energy using heat equations:
where:
specific heat of water = ,
is the mass of quartz.
As we know that the conductance is given by the formula
now here we know that
L = length
now we know that conductance will remain constant while the length is quadrupled
so here we have
so here radius becomes double
so correct answer will be
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Answer:
Option D is the correct answer.
Explanation:
We equation for elongation
Here we need to find weight required,
We need to stretch a steel road by 2 mm, that is ΔL = 2mm = 0.002 m
E = 200GPa = 2 x 10¹¹ N/m²
L=2m
Substituting
Option D is the correct answer.
Answer:
Explanation:
It is given that,
Force due to rope 1,
Force due to rope 2,
Let is the angle must a third rope tension be applied in order to keep the boat at rest. It can be given by :
The angle clockwise from the positive x-axis will be equal to,
So, the angle must a third rope tension be applied in order to keep the boat at rest is 156.81 degrees. Hence, this is the required solution.