contestada

a car accelerates from 20 m/s to 40 m/s in 10 s and its forward thrust is equal to 3 kN, what is the mass of

Respuesta :

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

Newton's 2nd law of motion

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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