Chapter 6: Q.14 (page 155)

A $2.0 \times 10^{7}$ kg train applies its brakes with the intent of slowing down at a $1.2 m / s^{2}$ rate. What magnitude force must its brakes provide?

Short Answer

Expert verified

Magnitude of force (F) provided by brakes = $2.4 \times 10^{7} N$ .

Step by step solution

Force :

The force exerted on a mass that causes it to change velocity.

Explanation :

The quantity of force exerted on an object is equal to the product of its mass and the acceleration generated, according to Newton's second equation of motion.

$F = m a$

The object in this circumstance is a train that is slowing down by applying a brake.

Train mass $(m) = 2.0 \times 10^{7} k g$ ,

Acceleration's magnitude $(a) = 1.2 m / s^{2}$ ,

$F = m a F = 2 \times 10^{7} \times 1.2 F = 2.4 \times 10^{7} N$

Hence, by providing a force of magnitude $2.4 \times 10^{7} N$ , brakes reduce train speed.

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A $2.0 \times 10^{7}$ kg train applies its brakes with the intent of slowing down at a $1.2 m / s^{2}$ rate. What magnitude force must its brakes provide?

Short Answer

Step by step solution

Force :

Explanation :

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A 2.0×107 kg train applies its brakes with the intent of slowing down at a 1.2m/s2 rate. What magnitude force must its brakes provide?

Short Answer

Step by step solution

Force :

Explanation :

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A $2.0 \times 10^{7}$ kg train applies its brakes with the intent of slowing down at a $1.2 m / s^{2}$ rate. What magnitude force must its brakes provide?