A 975-kg car accelerates from rest to 26.7 m/s in a distance of 120 m. What is the magnitude of the average net force acting on the car?

Question

Topic: Physics Posted 9 months ago

A) 740 N
B) 2900 N
C) 91 N
D) 1300 N
E) 7900 N

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Mar 18, 2024

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First, calculate the acceleration of the car using the equation:

v^2 = u^2 + 2as

Where:
v = final velocity = 26.7 m/s
u = initial velocity = 0 m/s
a = acceleration
s = distance = 120 m

(26.7)^2 = 0 + 2 * a * 120
(712.89) = 240a
a = 712.89 / 240
a = 2.97 m/s^2

Next, calculate the net force using Newton's second law:

F = ma

Where:
m = mass of the car = 975 kg
a = acceleration = 2.97 m/s^2

F = 975 kg * 2.97 m/s^2
F = 2892.75 N

Therefore, the magnitude of the average net force acting on the car is 2892.75 N, which rounds to 2900 N.

The correct answer is:

B) 2900 N

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