Answer:
6.88 m/s
Explanation:
The Conservation of Energy states that:
Initial Kinetic Energy + Initial Potential Energy = Final Kinetic Energy + Final Potential Energy
So we can write
We can cancel the common factor of 
which leaves us with
Lets solve for 
Subtract 
from both sides of the equation.
Multiply both sides of the equation by 2.
Simplify the left side.
Apply the distributive property.
Cancel the common factor of 2.
Take the square root of both sides of the equation to eliminate the exponent on the right side.
We are given 
.
We can now solve for the final velocity.
Anything multiplied by 0 is 0.
Answer:
Explanation:
Magnetic field due to a long wire
B = ( μ₀ / 4π ) x 2 I / r ( I is current through the wire )
= (μ₀ Q t ) / ( 2 π r ) [ I = Q t ]
b ) Magnetic field will change through the length of the square shaped loop . So we shall have to take the help of integration to calculate the flux through the loop.
Flux Φ = ∫ B dA
=∫ ( μ₀ / 4π ) x 2 I / r dA
10⁻⁷ x 2 I ∫ a dr/r
2 x 10⁻⁷ x Qt x a [ ln (2.9+1.2) / 1.2 ]
4.6 x 10⁻⁷ x 2.9 x 10⁻² t ln 4.1 / 1.2
16.4 x 10⁻⁹ t
Φ( t ) = 16.4 x 10⁻⁹ t
Induced emf = dΦ( t ) / dt = 16.4 x 10⁻⁹ v
current
16.4 x 10⁻⁹ / 2.5
= 6.56 x 10⁻⁹
A. 4.8 millimeters
B. 9.6 millimeters
C. 48 millimeters
D. 9,600 millimeters or 9.6 meters
There are 1000 mm in a meter
Too cook the beef, the heat should penetrate to the deepest layer of the meat. Let say that the meat is cubical with 10cm width. To penetrate the core of the meat, the heat need to travel 5 cm from any side of the meat. If the meat cut into two similar pieces, the deepest core of the meat will be exposed to the heat directly.
Now the deepest core is not 5 cm anymore, it will become 2.5 cm. So the heat has to penetrate a thinner layer, thus make it cooked faster.
