Answer:
K_{total} = 19.4 J
Explanation:
The total kinetic energy that is formed by the linear part and the rotational part is requested
let's look for each energy
linear
= ½ m v²
rotation
= ½ I w²
the moment of inertia of a solid sphere is
I = 2/5 m r²
we substitute
= ½ mv² + ½ I w²
angular and linear velocity are related
v = w r
we substitute
K_{total} = ½ m w² r² + ½ (2/5 m r²) w²
K_{total} = m w² r² (½ + 1/5)
K_{total} = m w² r²
let's calculate
K_{total} = 6.40 16.0² 0.130²
K_{total} = 19.4 J
Acceleration is given by:
where
v is the final velocity
u is the initial velocity
t is the time interval
Let's apply the formula to the different parts of the problem:
A)
Let's convert the quantities into SI units first:
t = 4.0 min = 240 s
So the acceleration is
B)
As before, let's convert the quantities into SI units first:
t = 94 s
So the acceleration is
C)
For this part we have to use a different formula:
where we have
v = 0 is the final velocity
u = 89.2 m/s is the initial velocity
a is the acceleration
d = 75 m is the distance covered
Solving for a, we find
Answer:
Explanation:
From the question we are told that
The initial velocity is
The time taken is
The charge to mass ratio is
Generally the acceleration is mathematically evaluated as
substituting values
The electric field is mathematical represented as
substituting values
Answer:
The correct option is D
Explanation:
In the course of the experiment, two key phrases/variables defined the experiment done,
i) the release height of the steel ball (independent variable)
ii) the distance the ball travels from the ramp before falling to the ground (dependent variable)
The only option that contains and relates this two variables as carried out during the course of the experiment is option D.