A car that has a forward thrust of 3kN and accelerates from 20 m/s to 40 m/s in 10 s has a mass of 1500 kg. Thus, the mass of the car is the 1500 kg
From the question, we are to calculate the mass of the car.
From Newton's second law of motion, we have that
F = ma
Where F is the Net force
m is the mass
and a is the acceleration
Also, from one of the equations of linear motion, we have that
v = u + at
Then, we can write that
[tex]a = \frac{v-u}{t}[/tex]
Where v is the final velocity
u is the initial velocity
a is the acceleration
and t is the time taken
Therefore,
[tex]F = m\frac{(v-u)}{t}[/tex]
From the given information,
u = 20 m/s
v = 40 m/s
t = 10 s
F = 3 kN = 3000 N
Putting the parameters into the equation, we get
[tex]3000 = m \frac{(40-20)}{10}[/tex]
[tex]3000 = m \times \frac{20}{10}[/tex]
3000 = 2m
Then,
m = 3000 ÷ 2
m = 1500 kg
Hence, the mass of the car is the 1500 kg.
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