Answer:
0.45 miles
Explanation:
since, car will be running on the edge of track, distance covered in one lap by car will be equal to circumference of track.\
we will use value of pi as 22/7
Circumference for any circular shape is given by 

Hence, in one lap
distance will be covered
in 7 laps
distance will be covered.
but is given that 7 laps should be equal to 10 miles
so 10 miles will be equal to 

Thus, diameter of track will be 0.45 miles to meet the requirement.
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Answer:
Explanation:
Force = mass x acceleration

Force is always vector and acceleration also vector but the mass is a saclar quanity.
here, the direction of force vector is same as the direction of acceleration vector but the magnitude of force depends on the magnitude of mass of the body.
Is mass is more, force is also more.
Thus, the mass is like an indicator of the magnitude of force.
Dimensional Formula of Density
The dimensional formula of density is given by,
[M1 L-3 T0]
Where,
M = Mass
L = Length
T = Time
Derivation
Density (ρ) = Mass × Volume-1 . . . . . (1)
The dimensional formula of volume = [M0 L3 T0] . . . . (2)
And, the dimensional formula of mass = [M1 L0 T0] . . . . (3)
On substituting equation (2) and (3) in equation (1) we get,
Density = Mass × Volume-1
Or, (ρ) = [M1 L0 T0] × [M0 L3 T0]-1 = [M1 L-3 T0]
Therefore, density is dimensionally represented as [M1 L-3 T0].
Hope i helped!