<u>Explanation</u>:
Consider the given function
Given that the velocity of rocket is increases at the rate of
The mass of rocket is decreasing at rate of .
Hence
Now find the rate of change of kinetic energy when and
Now consider the given equation,
Now substituting the values and
The rate at which kinetic energy changing is 25MJ
Answer:
Time according to earth clock (T0) = 0.22 years (Approx)
Explanation:
Given:
Time taken by light = 4.5 years
Time taken by ship = 5 years
Speed of light = c
Speed of ship (v) = 90% of c = 0.9c
Find:
Time according to earth clock (T0) = ?
Computation:
Time dilation is ,
Time according to earth clock (T0) = 0.22 years (Approx)
Answer:
= -12 N
, = -80 N and = - 44 N
Explanation:
The force is related to the potential energy by the formula
F = -Δ U = - ( i ^ + j ^ + k ^)
It indicates the potential energy
U = 2xyz + 3z² + 4yx + 16
To solve this problem let's make the derivatives, to find each component of the force
= 2yz + 0 + 4y + 0 = 2yz + 4y
= 2xz + 0 + 4x + 0 = 2xz + 4x
= 2xy + 3 2z + 0 +0 = 2xy + 6z
We look for the expression for the force in each axis
= - 2yz - 4y
= -2xz -4x
= -2xy -6z
We calculate at the point P = (20 i ^ + 1j ^ + 4 k ^) m
= - 2 1 4 - 4 1
= -12 N
= - 2 20 4 - 4 20
= -80 N
= - 20 1 - 6 4
= - 44 N
We put together the expression for strength
F = (-12 i ^ - 80j ^ -44k ^) N
Answer:
The value is
Explanation:
From the question we are told that
The current is
The radius is
The length of the wire is \
The resistance is
The outer surface temperature is
The average thermal conductivity is
Generally the heat generated in the stainless steel wire is mathematically represented as
=>
=>
Generally the middle temperature is mathematically represented as
Answer:
the gravitational potential energy is converted to kinetic energy
Explanation:
Because the conversation of the energy as a tool permits the calculation of the velocity just before it hits the surface