Home
Class 11
PHYSICS
Find the force required to move a train ...

Find the force required to move a train of 2000 quintals up an incline of 1 in 50 , with an acceleration of `2 ms^(-2)`, the force of friction being 0.5 newton per quintal.

Text Solution

Verified by Experts

Here , `m = 2000 "quintals"`
`= 2000 xx 100 kg`
`sin 0 = (1)/(50) , a = 2 ms^(-2)`
force of friction ` = 0.5 ` per quintal
`F = 0.5 xx 2000 = 1000 N`
In moving up inclined plance , force required against gravity
`= mg sin 0 = 200 , 000 xx 9.8 xx (1)/(50)`
`= 39200 N`
Also , force required to produce acceleration
` = ma = 200 , 000 xx 2 = 400 , 000 N `
`:.` Total force required `= 1000 + 39 , 200 + 400 , 000 `
` 440 , 200 N ` .
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the force required to move a train of mass 5000 quintal up an incline of 1 in 50 with an acceleration of 2m//s^(2) Take force of friction = 0.2 N quintal and g = 10ms^(-2) .

Find the force required to move a train of mass 10^(5) kg up an incline of 1 in 50 with an acceleration of 2 ms^(-2) . Coefficient of friction between the train and rails is 0.005. Take g = 10^(2) .

Calculate the power of an engine , which can just pull a train of mass 5000 quintals up an incline of 1 in 50 at the rate of 54 km//h . The resistance due to friction is 0.8 N //"quintal" . Take g = 9.8 m//s^(2) .

Calculate the power of an engine which can pull a train of mass 25000 quintal up an incline of 1 in 100 at the rate of 10.8km//h Resistance due to friction is 2N//"guintal" .

Find the power of an engine which can draw a train of 400 metric ton up the inclined plane of 1 in 98 at the rate 10 ms^(-1) . The resistance due to friction acting on the train is 10 N per ton.

A stone of mass l kg is lying on the floor of a train which is accelerating with 1ms^(-2) The net force acting on the stone is

The force required just to move a body up an inclined plane is double the force required just to prevent the body sliding down. If the coefficient of friction is 0.25 , the angle of inclination of the plane is

A block of mass 10kg is pushed by a force F on a horizontal rough plane is moving with acceleration 5ms^(-2) When force is doubled its acceleration becomes 18ms^(-2) Find the coefficient of friction between the block and rough horizontal plane (g =10ms^(-2)) .