Power is a measure of the rate at which work is done. Power is determined by the change in energy
Answer:
Part a)

Part b)

Explanation:
Part a)
As we know that proton is accelerated uniformly so we can use kinematics here to find the final speed
so we know that



so we will have




Part b)
Now increase in kinetic energy is given as

![\Delta K = \frac{1}{2}(1.67 \times 10^{-27})[(2.569 \times 10^7)^2 - (2.4 \times 10^7)^2]](https://tex.z-dn.net/?f=%5CDelta%20K%20%3D%20%5Cfrac%7B1%7D%7B2%7D%281.67%20%5Ctimes%2010%5E%7B-27%7D%29%5B%282.569%20%5Ctimes%2010%5E7%29%5E2%20-%20%282.4%20%5Ctimes%2010%5E7%29%5E2%5D)

Answer:
0.6 m/s
Explanation:
The details of the masses and velocities are;
The mass of the ice skater, m₁ = 80 kg
The mass of the ball, m₂ = 8 kg
The speed with which the skater tosses the ball forward, v₂ = 6 m/s
Therefore;
According to the principle of conservation of linear momentum, we have;
m₁·v₁ = m₂·v₂
Where;
v₁ = The skater's reactive velocity
Therefore, we get;
80 kg × v₁ = 8 kg × 6 m/s
v₁ = 8 kg × 6 m/s/(80 kg) = 0.6 m/s
The skater's reactive velocity, v₁ = 0.6 m/s.
Answer:D
A system where matter and energy can not enter or leave the system