Hello!
C. KE ≈ 9120.105 J
D. m = 151.45 kg
Question C:
Calculate kinetic energy using the formula:
[tex]KE = \frac{1}{2}mv^{2}[/tex]
Substitute in the given mass. We have to convert kilometers to meters in order to solve.
[tex]\frac{42km}{1hr} * \frac{1hr}{3600sec} *\frac{1000m}{1km} = 11.67 m/s[/tex]
Use the equation above:
KE = 1/2(1563)(11.67)
KE ≈ 9120.105 J
Question D:
Plug in the given Kinetic Energy and velocity to solve. Convert kilometers/hour to meters/second:
[tex]\frac{7km}{1hr} * \frac{1hr}{3600sec} *\frac{1000m}{1km} = 1.94 m/s[/tex]
[tex]KE = \frac{1}{2}mv^{2}[/tex]
285 = 1/2(m)(1.94²)
570 = (1.94²)m
151.45kg = m