CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

A 8000 kg engine pulls a train of 5 wagons, each of 2000 kg, along a horizontal track. If the engine exerts a force of 40000 N and the track offers a friction force of 5000 N, then calculate:

(a) the net accelerating force and

(b) the acceleration of the train.


Solution

(a) 35000 N (b) 1.944 m/s2 

(a)Force exerted by the engine, F = 40000 N

Frictional force offered by the track, Ff = 5000 N

Net accelerating force, Fa = FFf = 40000 − 5000 = 35000 N

Hence, the net accelerating force is 35000 N.

(b)Acceleration of the train = a

The engine exerts a force of 40000 N on all the five wagons.

Net accelerating force on the wagons, Fa = 35000 N

Mass of the wagons, m = Mass of a wagon × Number of wagons

Mass of a wagon = 2000 kg

Number of wagons = 5

m = 2000 × 5 = 10000 kg

Total mass of the train, M = m + mass of engine  = 10000 + 8000 = 18000 kg

From Newton’s second law of motion:

Fa = Ma

a=Fam   = 35000 18000    = 1.944 m s-2

Hence, the acceleration of the train is 1.944 m/s2.

[[video:17194]]


Science
Science - NCERT Solutions
All

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image