Question

In a car race, the force of attraction between the 1st and 2nd place cars is 3.0349 X 10 -7N. If the 1st place car has a mass of 700 kg and the 2nd place car has a mass of 650 kg, then what is the distance between the two cars?

Answer 1

The distance between the two cars is approximately 2.63 meters.

Step-by-step explanation:

To find the distance between the two cars, we need to use Newton's law of universal gravitation. The formula is:

F = (G * m1 * m2) / r^2

Where:

• F is the force of attraction between the two cars
• G is the gravitational constant (6.674 × 10^-11 N m^2/kg^2)
• m1 is the mass of the first car
• m2 is the mass of the second car
• r is the distance between the two cars

Plugging in the given values:

• F = 3.0349 × 10^-7N
• m1 = 700 kg
• m2 = 650 kg

Solving for r:

r = √[(G * m1 * m2) / F]

Substituting the values:

r = √[(6.674 × 10^-11 N m^2/kg^2 * 700 kg * 650 kg) / (3.0349 × 10^-7N)]

r ≈ 2.63 meters

Answer 2

10 m

Step-by-step explanation:

By the Newton's Law of gravitation

F = Gm₁m₂/r²

where F = gravitational attractive force,

G = Universal gravitational constant

m₁ & m₂ = masses involved

r = distance between centers of gravity of two cars

So you get,

F = 3.0349 X 10⁻⁷ = 6.674×10⁻¹¹ ×700×650/r²

r = 10 m

So if the two cars are identical the distance between two cars is 10 m,

else the distance between the centers of gravity of two cars is 10 m