Answer:
The initial speed at which the baseball is thrown is 20.58 m/s
Explanation:
To determine the time taken to reach the peak height in projectile motion, the formula is:
t = (u sin θ)/g
Where u = initial speed of the baseball =?
θ = angle of launch above the horizontal
g = gravitational acceleration = 9.8 m/s²
1.05 = (u sin 30)/9.8
u can be calculated as (1.05 × 9.8)/0.5
u = 20.58 m/s
The sheet's thickness is calculated to be t= 0.0003 mm.
The mass provided is m = 230 mg, equivalent to 0.23 g. The area of the sheet is A= 23 x 17 cm², totaling A= 391 cm². Given the density of gold is ρ = 19.32 g/cm³, we assume the sheet's thickness is t cm. From the equation Mass = Density x Volume, we know m = ρ A t. Substituting the values results in:
0.23 = 19.32 × 391 × t, leading to t = 0.000030 cm, or equivalently, 0.0003 mm as the final thickness.
Answer:
The radius is 
Explanation:
The problem states that
The magnetic field is 
The electron kinetic energy is 
In general, for a collision to happen, the centripetal force on the electron in its orbit must equal the magnetic force acting on it
This can be mathematically expressed as
=> 
Where m denotes the electron’s mass, which has a value of
v signifies the escape velocity, mathematically represented as

Thus,

applying indices

substituting these values

