Question

Maggie's truck decelerates from 18.00 m/s to rest in 3.30 s. If the Maggie's mass is 100.0 kg and the truck is 1810 kg, calculate the magnitude of the net (unbalanced) force that can cause the acceleration.

a) 5.45 x 10^3 N
b) 5.45 x 10^4 N
c) 5.45 x 10^5 N
d) 5.45 x 10^6 N

Answer 1

To find the magnitude of the net force on Maggie's truck, the deceleration was calculated and then used to determine the force using Newton's second law. However, the calculated force does not match any of the provided options, suggesting a possible error in the answer choices.

Step-by-step explanation:

Maggie's truck decelerates from 18.00 m/s to rest in 3.30 seconds. The total mass of Maggie and her truck is 100.0 kg + 1810 kg = 1910 kg. To calculate the magnitude of the net force, we first need to determine the acceleration using the formula: a = (v - u) / t where:

v is the final velocity (0 m/s)Substituting the values, we get a = (0 - 18.00 m/s) / 3.30 s = -5.45 m/s². The negative sign indicates deceleration. Next, using Newton's second law, F = ma, where m is the mass and a is the acceleration, we calculate the net force:

F = (1910 kg)(-5.45 m/s²)

Thus, F = -10419.5 N. The magnitude of the net force, ignoring the sign, is 10419.5 N, which is not one of the provided options. Therefore, it seems we have encountered a mistake as none of the options provided (a-d) match our calculation.