By using the coefficient of linear expansion, the increase in the length of the metal plate is by 0.015m and in the area is by 0.3074
.
The rate of change in length of a metal per degree change in temperature is known as the coefficient of linear expansion.
Given:
Coefficient of linear expansion, α = 29 x
/k
Length, L1 = 10m
T1 = 25℃
T2 = 78℃
ΔT = 78 – 25 = 53℃
To find:
Change in length (ΔL) and area (ΔA) of metal plate = ?
Formula:
ΔL = α L1 ΔT
ΔA = A1 2 α ΔT
Calculations:
ΔL = 29 x
x 10 x 53
ΔL = 0.01537m
ΔA = 100 x 2 x 29 x
x 53
ΔA = 0.3074
A2 = 100.3074
Result:
The increase in the length and area is by 0.015m and 0.3074
respectively.
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(a) The pitcher must throw the ball at 27.7 m/s
The momentum of an object is given by:

where
m is the mass of the object
v is the object's velocity
Let's calculate the momentum of the bullet, which has a mass of
m = 2.70 g = 0.0027 kg
and a velocity of

Its momentum is:

The pitcher must throw the baseball with this same momentum. The mass of the ball is
m = 0.146 kg
So the velocity of the ball must be

So, the pitcher must throw the ball at 27.7 m/s.
(b) a. The bullet has greater kinetic energy
The kinetic energy of an object is given by

where m is the mass of the object and v is its speed.
For the bullet, we have:

For the ball:

So, the bullet has greater kinetic energy.
Answer:
yes, radio waves and x-rays are type of light.
The acceleration can be found by:

Where v= velocity and t= time
or