Question

what is the potential energy of a 10 kg mass? a. 100m above the surface of the Earth b. At the bottom of a vertical mine shaft 1000m deep​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Potential\:energy=10000\:J}}}$

$\green{\tt{\therefore{Potential\:energy=-100000\:J}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline{\bold{Given :}}} \\ \tt: \implies Mass \: of \: body(m) = 10 \: kg \\ \\ \tt: \implies Height( h_{1}) = 100 \: m \\ \\ \tt: \implies Height( h_{2}) = 1000 \: m \\ \\ \red{\underline{\bold{To \: Find :}}} \\ \tt: \implies Potential \: energy \: at \: both \: the \: point = ?$

• According to given question :

$\tt \circ \: \Delta \: h = 100 - 0 = 100 \: m = h_{1} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies Potential \: energy = mgh_1 \\ \\ \tt: \implies Potential \: energy =10 \times 10 \times 100 \\ \\ \green{\tt: \implies Potential \: energy =10000 \: j} \\ \\ \tt \circ \: \Delta \: h = - 1000 - 0= - 1000 \: m = h_{2} \\ \\ \bold{Similarly} \\ \tt: \implies Potential \: energy =mg h_{2} \\ \\ \tt: \implies Potential \: energy =10 \times 10 \times - 1000 \\ \\ \green{\tt: \implies Potential \: energy = - 100000 \: j}$

Answer 2

Answer:

Explanation:

$\huge \tt {required \: answer}$

Mass = 10 kg

Height of body 1 = +100

Height of body 2 = -1000

$\huge \bf {p.e = mgh}$

Potential energy of Mass1 = mgh

Potential energy of Mass1 = 10 × 10 × 100

Potential energy of Mass1 = 10000 Joule

Potential energy of Mass2 = 10 × 10 × -1000

Potential energy of Mass2 = 100 × -100

Potential energy of Mass2 = -10000 Joule

$\huge \bf P.E\: of \: Mass 1 = 1000 Joule$

$\huge \bf P.E\: of\: Mass \: 2= -10000 Joule$

Here,

PE = Potential energy

M = Mass

H = Height