--- University Physics Harris Benson 3rd Edition Answer Official

Using the equation: $ \(U = mgh\) $ where U is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.

\[ ext{Vector: displacement, velocity, acceleration} \]

\[U = (2)(9.8)(5) = 98 ext{ J}\]

Using the equation: $ \(a = rac{v^2}{r}\) $ where a is the acceleration, v is the speed, and r is the radius.

The law of conservation of momentum states that the total momentum of a closed system remains constant over time. --- University Physics Harris Benson 3rd Edition Answer

\[a = rac{F}{m} = rac{5}{2} = 2.5 ext{ m/s}^2\]

\[s = 0 + rac{1}{2}(4)(5)^2 = 50 ext{ m}\] Using the equation: $ \(U = mgh\) $

Using the equation: $ \(m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2\) $ where m1 and m2 are the masses, u1 and u2 are the initial velocities, and v1 and v2 are the final velocities.