Answer:
The speed of the block is 8.2 m/s
Explanation:
Given;
mass of block, m = 2.1 kg
height above the top of the spring, h = 5.5 m
First, we determine the spring constant based on the principle of conservation of potential energy
¹/₂Kx² = mg(h +x)
¹/₂K(0.25)² = 2.1 x 9.8(5.5 +0.25)
0.03125K = 118.335
K = 118.335 / 0.03125
K = 3786.72 N/m
Total energy stored in the block at rest is only potential energy given as:
E = U = mgh
U = 2.1 x 9.8 x 5.5 = 113.19 J
Work done in compressing the spring to 15.0 cm:
W = ¹/₂Kx² = ¹/₂ (3786.72)(0.15)² = 42.6 J
This is equal to elastic potential energy stored in the spring,
Then, kinetic energy of the spring is given as:
K.E = E - W
K.E = 113.19 J - 42.6 J
K.E = 70.59 J
To determine the speed of the block due to this energy:
KE = ¹/₂mv²
70.59 = ¹/₂ x 2.1 x v²
70.59 = 1.05v²
v² = 70.59 / 1.05
v² = 67.229
v = √67.229
v = 8.2 m/s
Answer:
2.8512*10^8 inches
Explanation:
Seeing as the ratio for miles to inches is 1 mile = 63360 inches, set up an equation. 1 mile / 63360 inches = 4500 miles / x inches. Cross multiply and simplify to 2.8512*10^8 inches. Hope this helps! :)
Answer:
4 times
Explanation:
Given:
diameter of the input piston, 
diameter of the output piston, 
In such mechanical arrangements the fluid acts as an incompressible link and the pressure remains uniform throughout the fluid bulk.
Then, by the Pascal's law:

where:
are the input and the output forces respectively.
are the input and the output area of pistons respectively.




Answer:
C
Explanation:
Mantle convection is the very slow creeping motion of Earth's solid silicate mantle caused by convection currents carrying heat from the interior to the planet's surface. The Earth's surface lithosphere rides atop the asthenosphere and the two form the components of the upper mantle.
Answer:
The resistance interval is 
Explanation:
From the question we are told that
The voltage is V = 9 V
The current is 
The maximum current would be

The minimum current would be

The maximum resistance is



The minimum resistance is



and 
The interval R lies is
