Question

Please answer this fast. This was due October 6th and I need to get it done!!!!! The energy E of a moving object is called its

kinetic energy. It is calculated using the formula E = { mv2,
where m is the object's mass in kilograms and v is its
speed in meters per second. The units of kinetic energy are
kilograms - meters
abbreviated as kg • m²/s2.
seconda
a. Solve the given formula for m.
b. What is the mass of an object moving at 10 m/s with a kinetic
energy of 2500 kg · mº/s2?
. n

Answer 1

Question a:

`{ \rm{kinetic \: energy = (1)/(2) m {v}^(2) }} \\`

• then let's make m the subject:

`{ \rm{E = (1)/(2)m {v}^(2) }} \\ \\ { \rm{m {v}^(2) = 2E }} \\ \\ { { \green{ \boxed{ \boxed{ \bf{m = \frac{2E}{ {v}^(2) } }}}}}} \\`

Answer: m = 2E/v²

Question b:

`{ \rm{m = \frac{2E}{ {v}^(2) } }} \\ \\ { \rm{m = \frac{(2 * 2500)}{ {10}^(2) } }} \\ \\ { \rm{m = (5000)/(100) }} \\ \\ { \boxed{ \boxed{ \rm{ \: m = 50 \: kg \: }}}}`

Answer: mass is 50 kg