Question

(c) An object of mass 8 kg is at a certain height above the ground. If
the potential energy of the object is 560 J. Find the height at
which object is with respect to ground. (g = 10m/s2).

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

Given :

• Mass of Object (m) = 8 kg
• Potential Energy (P.E) = 560 J

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To Find :

• Height above the ground

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Solution :

We have formula for Potential Energy :

$\large {\boxed{\sf{P.E \: = \: mgh}}} \\ \\ \implies {\sf{h \: = \: \dfrac{P.E}{mg}}} \\ \\ \implies{\sf{h \: = \: \dfrac{560}{8 \: \times \: 10}}} \\ \\ \implies {\sf{h \: = \: \dfrac{560}{80}}} \\ \\ \implies {\sf{h \: = \: 7}} \\ \\ {\underline{\sf{\therefore \: height \: is \: 7 \: m}}}$

Answer 2

Given,

Mass=8 kg

P.E=560J

G=10m/s²

To find out:-

Height at which object is with respect to ground.

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Answer:-

height is 7 m

Solution:-

We know that

☆P.E=mgh

putting the value

Now,

560=8×10×h

=>560=80h

=>h=560/80

=>h=7