Question

1) Determine the gravitational force if two masses are 30kg and 50kg separated by a distance 4m.​

Answer 1

Answer:

1.answer =

7500g/m

2 answer =

12500g/m

Step-by-step explanation:

first we will convert into gram

1000 g= 1 kg

30 kg = 30 ×1000

= 30000

50kg= 50 ×1000

= 50000

Now we will divide

30000÷ 4

= 7500g/m

50000÷4

= 12500g/m

Answer 2

${ \textbf{ \underline{ \red{ \underline{ \purple{Question:-}}}}}}$

Determine the gravitational force if two masses are 30kg and 50kg separated by a distance 4m.

${ \textbf{ \underline{ \red{ \underline{ \purple{Solution:-}}}}}}$

{ According to question }

• We use formula to find calculate gravitational force between two particle's.

Formula:-

${ \bf{ \huge{ \purple{ F= G \frac{m_{1}m_{2}}{ {r}^{2} } }}}}$

Where,

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{F = Gravitational \: force \: between \: }}}}}}$

${ \bf{ \small{\purple{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: two \: particle's.}}}}$

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ G = Gravitational \: constant }}}}}}$

${ \bf{ \small { \purple{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 6.673 \times {10}^{ - 11} \: N•m²/Kg² }}}}$

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ m_{1} = Mass \: of \: first \: paticle }}}}}}$

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ m_{2} = Mass \: of \: second \: particle }}}}}}$

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ {r}^{2} = Distance \: between \: two \: particles }}}}}}$

Now, according to question

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ m_{1} = 30 \: Kg}}}}}}$

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ m_{2} = 50 \: Kg}}}}}}$

${ \bf{ \small{ \blue{ \dashrightarrow{ \purple{ r = 4 \: m}}}}}}$

Now, by formula

${ \bf{ \dashrightarrow{ \purple{ F= G \frac{m_{1}m_{2}}{ {r}^{2} } }}}}$

${ \bf{ \dashrightarrow{ \purple{ F= 6.673 \times {10}^{ - 11} \times \frac{30 \times 50}{ {4}^{2} } }}}}$

${ \bf{ \dashrightarrow{ \purple{ F= 6.673 \times {10}^{ - 11} \times \frac{1500}{ 16 } }}}}$

${ \bf{ \dashrightarrow{ \purple{ F= \frac{1.00095 \times {10}^{ - 7} }{ 16 } }}}}$

${ \bf{ \dashrightarrow{ \purple{ F= {6.2559375 \times {10}^{ - 9} } \: N}}}}$

Hence gravitational force between two particles is

${ \bf{{ F= {6.2559375 \times {10}^{ - 9} } \: N}}}$