Answer:
a) True. Speeds are reduced by half .
e) True. kinety energy is reduced by half
Explanation:
In order to analyze the statements you have we have to raise the problem solution.
If we fear a constant force when double the mass we can see the result in acceleration with Newton's second law
F = m a₁
F = (2m) a₂
m a1 = 2m a₂
a₂ = ½ a₁
We see that when I double the mass the acceleration is reduced by half
With kinematics we see that there is a linear relationship between speed and acceleration
= v₀ + at
For the same initial speed and the same time if the acceleration is reduced by half the speed is reduced by half.
Therefore, by doubling the mass the speed reduces by half
kinetic energy is
K = ½ m v²
K = ½ (2m) (v/2)²
K = (½ m v²) /2
K = Ko / 2
Now we can review the claims
a) True. Speeds are reduced by half
b) False. We saw that they change their value
c) False. They reduce not increase
d) False. We saw that the kinetic energy is reduced
e) True. It is reduced by half
f) False. We saw that change