Question

On a particular planet, it takes 850 J for a 50 kg remote probe to launch itself up 2 m. What is the gravitational field strength of the planet?

Answer 1

Given:-

• Potential Energy ,PE = 850 J

• Mass ,m = 50 kg

• Height,h = 2 m

To Find:-

• Gravitational field strength ,g

Solution:-

Firstly we calculate the acceleration on the planet

• PE = mgh

where,

PE is Potential Energy

m is the mass

g (a) is the acceleration

h is the height

Substitute the value we get

→ 850 = 50×a × 2

→ 850 = 100×a

→ a = 850/100

→ a = 8.5m/s²

Acceleration is 8.5m/s².

Now, Calculating the Gravitational Field Strength

• g = F/m

where,

F is the force

m is the mass

Substitute the value we get

→ g = ma/m

→ g = 50×8.5/50

→ g = 8.5 N/kg

Therefore,the gravitational field strength is 8.5 N/kg.

Answer 2

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6) On a particular planet, it takes 850 J for a 50 kg remote probe to launch itself up 2 m. What is the gravitational field strength of the planet?

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$potential \: energy(PE) = 850J$

$weight(m) = 50kg$

$height(h) = 2m$

${ { \underbrace{ \mathbb{ \red{To\: PrOvE\ }}}}}$

$gravitational \: field \: strength \: of \: planer (g)$

$\star\underbrace{\mathtt\red{⫷❥ᴀ} \mathtt\green{n }\mathtt\blue{S} \mathtt\purple{W}\mathtt\orange{e} \mathtt\pink{R⫸}}\star\:$

${\boxed {\boxed {PE=mgh}}}$

$PE=potential\:energy$

$m=weight$

$g=(a) acceleration$

$h=height$

$now \: substitute \: the \: values$

$850 = 50 \times a \times 2$

$850 = 100a$

$a = \frac{850}{100}$

${\boxed {a = 8.5 m/{s}^{2}}}$

$gravitational \: field \: strength$

${\boxed {\boxed {g=\frac{F}{m}$

$F=force(F=ma)$

$m=weight$

$substitute \: the \: values$

$g=\frac{ma}{m}$

$g=\frac{50\times 8.5}{50}$

${\boxed {\boxed {g=8.5 N/kg}}}$

$\therefore\: the\: gravitational \:force\: {\boxed {\boxed {is=8.5N/kg}}}$

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