if a cyclist takes 1 minute to complete half the revolution on circular path 120m radius .what is the average velocity 8
Answers
Answer:
Explanation:
\checkmark✓ Given:
The gravitational force between two objects is 900 N when they are 10 cm apart
\checkmark✓ To Find:
What will be new force if they are 15 cm apart
\checkmark✓ Solution:
We know that,
\red{\implies \sf F \propto \dfrac{1}{R^{2}}}⟹F∝
R
2
1
Hence,
\orange{\sf \implies \dfrac{F_{1}}{F_{2}}=\dfrac{R_{2}^{2}}{R_{1}^{2}}}⟹
F
2
F
1
=
R
1
2
R
2
2
Here,
F = Force
R = Distance apart
According to the Question,
We are asked to find what will be new force if they are 15 cm apart
So, we must find " F₂ "
Given that,
The gravitational force between two objects is 900 N when they are 10 cm apart and what will be new force if they are 15cm apart
Hence,
F₁ = 900 N
R₁ = 10 cm
R₂ = 15 cm
By substituting the values,
We get,
\blue{\implies \sf \dfrac{900}{F_{2}}=\dfrac{15^{2}}{10^{2}}}⟹
F
2
900
=
10
2
15
2
\green{\sf \implies F_{2}=\dfrac{900 \times 10^{2}}{15^{2}} \ N}⟹F
2
=
15
2
900×10
2
N
\red{\sf \implies F_{2}=\dfrac{90000}{225} \ N}⟹F
2
=
225
90000
N
\pink{\sf \implies F_{2}=400 \ N}⟹F
2
=400 N
Therefore,
New force if they are 15 cm apart is 400 N
Given:-
- A cyclist takes 1 min to complete half the revolution on a circular path.
- The radius of circular path is 120m.
To Find:-
- The average velocity of cyclist.
Formula Used:-
Average velocity equals to total displacement divided by time taken .
Calculation:-
If a cyclist covers half the revolution , then displacement equals to diameter of the circular path.
Here radius = 120m .
So , Diameter =2r = 240m.
Time taken = 1min = 60s .
➥ Avg. velocity = Total displacement / time .
➥ Avg . velocity = 240 m / 60s .
➤ Avg. velocity = 4m/s .
Hence the average velocity of the cyclist is 4m/s.
