Question

The bag of weight 200kg to what height should it be raised so that its potential energy will be 9800 J

Answer 1

Answer:

$\boxed{\mathfrak{Height \ raised \ (h) = 5 \ m}}$

Given:

Weight of bag (m) = 200 kg

Potential Energy (P.E.) = 9800 J

Acceleration due to gravity (g) = 9.8 m/s²

To Find:

Height raised (h)

Explanation:

Formula:

$\boxed{ \bold{P.E. = mgh}}$

Substituting value of P.E., m & g in the equation:

$\sf \implies 9800 = 200 \times 9.8 \times h \\ \\ \sf \implies 9800 = 1960 \times h \\ \\ \sf \implies 1960h = 9800 \\ \\ \sf \implies h = \frac{9800}{1960} \\ \\ \sf \implies h = 5 \: m$

$\therefore$

Height raised (h) = 5 m

Answer 2

PE = mgh

9800 = 200 × 9.8 × h

h = 5 m