Question

if work done = 6000 J to climb a tree of 5 m ,g =10 m^2 then mass =​

Answer 1

Answer :-

120kg

Explanation :-

Given :

• Potential Engery,P.E = 6000J

• Height above the ground,h = 5m

• Acceleration due to gravity,g = 10m/s^2

To Find :

• Mass,m = ?

Solution :

We know,

$\sf{}Potential\ Energy =Mgh$

Here,

Petential Engery is work done,

m is the mass,

g is the acceleration and,

h is the height.

So,

$\sf{}\implies 6000=mass\times 10\times 5$

$\sf{}\implies 6000=50\times mass$

$\sf{}\implies \dfrac{6000}{50}= mass$

$\sf{}\therefore mass=120kg$

Therefore,mass is equal to 120kg

Answer 2

Given :-

• Work done (P.E) = 6000J
• Gravity (g) = 10m/s²
• Height (h) = 5m

To Find :-

• Mass (m) = ?

Solution :-

As we know that,

${ \boxed{ \red{ \sf{P.E = mgh}}}}$

$\sf [ \: Putting \: \: values]$

$\: \displaystyle \longrightarrow \: \sf \: 6000 = m \: \times \: 10 \: \times 5$

$\displaystyle \longrightarrow \: \sf \: 6000 = m \: \times \: 50$

$\displaystyle \longrightarrow \: \sf \: m = \frac{6000}{5}$

$\displaystyle \: \longrightarrow \: { \boxed{ \blue{\sf \: m = 120kg}}}$

Hence,

• The required mass is 120kg.