Answer:
1100kg
Explanation:
Force F = mass m × acceleration a
And, acceleration a = velocity v/time t
: F = m × v/t
So, m = F × t/v
F = 6600N, t = 4.5s, v = 27m/s
m = 6600 × 4.5/27
m = 1100kg
Force is the product of mass times acceleration of the object. The mass of the car is 1100 kg.
Force is the pull or push of an object. Force is the product of mass times acceleration of the object. Thus,
[tex]F=ma[/tex]
Here [tex]m[/tex] is the mass of the body and [tex]a[/tex] is the acceleration of the body.
Given information
The velocity of the car is 27 m/s.
The time taken to accelerate from 0 to 27 m/s is 4.5 seconds.
Net force acting on the car is 6600 N.
As acceleration is the change in velocity per unit time. Thus acceleration of the car is,
[tex]a=\dfrac{27-0}{4.5}\\a=6 \rm m/s^2[/tex]
Use the above formula as,
[tex]F=ma\\m=\dfrac{6600}{6}\\m=1100\rm kg[/tex]
Hence the mass of the car is 1100 kg.
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