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4 votes
5. A small remote-controlled race car has a mass of 150 grams. If the car starting from rest can

reach its maximum velocity of 24 m/s in 4 seconds. What is the force of the race car's motor? (5
pts)

User Eagletech
by
4.9k points

1 Answer

6 votes

Answer:

0.9 N.

Step-by-step explanation:

Mass (m) of car = 150 g

Initial velocity (u) = 0 m/s

Final velocity (v) = 24 m/s

Time (t) = 4 s

Next, we shall determine the acceleration of the car. This can be obtained as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 24 m/s

Time (t) = 4 s

Acceleration (a) =?

v = u + at

24 = 0 + (a × 4)

24 = 0 + 4a

24 = 4a

Divide both side by 4

a = 24 /4

a = 6 m/s²

Thus, the acceleration of the car is 6 m/s²

Next, we shall convert 150 g to Kg. This can be obtained as follow:

1000 g = 1 kg

Therefore,

150 g = 150 g × 1 Kg / 1000 g

150 g = 0.15 Kg

Thus, 150 g is equivalent to 0.15 Kg

Finally, we shall determine the force of the car as follow:

Mass (m) of car = 0.15 Kg

Acceleration (a) of car = 6 m/s²

Force (F) of car =?

F = m × a

F = 0.15 × 6

F = 0.9 N

Therefore, the force of the car is 0.9 N.

User SerjantArbuz
by
5.4k points