A force of `5N` gives a mass `m_(1)`, an acceleration of `10m//s^(2)`, and a mass `m_(2)`, an acceleration of `20m//s^(2)`. What acceleration would it give if both the masses were tied together?

A force of `5N` gives a mass `m_(1)`, an acceleration of `10m//s^(2)`,

1.	A force of `5N` gives a mass `m_(1)`, an acceleration of `10m//s^(2)`, and a mass `m_(2)`, an acceleration of `20m//s^(2)`. What acceleration would it give if both the masses were tied together?
Answer» From Eq. (9.4) we have `m_(1)=F//a_(1)`, and `m_(2)=F//a_(2)`. Here , `a_(1)=10 ms^(-2)`, `a_(2)=20 ms^(-2)` and `F=5 N`. Thus , `m_(1) 5N//10 ms^(-2)=0.50 kg`: and `m_(2) =5 N//20 ms^(-2)=0.25 kg` If the two masses were tied together , the total mass , m would be m=0.50 kg +0.25 =0.75 kg. The acceleration , a produced in the combined mass by the 5 N force would be , `a=F//m=5N//0.75 kg=6.67 ms^(-2)`.

Discussion

No Comment Found

Related InterviewSolutions

According to the third law of motion, when we push on an object, the object pushes back on us with an equal and opposite force. If the object is a massive truck parked along the roadside, it will probably not move. A student justifies this by answering that the two opposite and equal forces cancel each other. Comment on this logic and explain why the truck does not move.
From a rifle of mass `4kg`, a bullet of mass `50g` is fired with an initial velocity of `35m//s`. Calculate the initial recoil velocity of the rifle.
A motorcar of mass `1200kg` is moving along a straight line with a uniform velocity of `90 km//h`. Its velocity is slowed down to `18 km//h` in `4s` by an unbalanced external force. Calculate the acceleration and change in momentum. Also, calculate the magnitude of the force required.
The velocity time graph of a ball of mass `20g` moving along a straight line on a long table is given in (figure) How much force does the table exert on the ball to bring it to rest?
Two object, each of mass `1.5 kg`, are moving in the same straight line but in opposite directions, The velocity of each object is `2.5 ms^(-1)` before the collision during which they stick together. What will be the velocity of the combined object after collision?
How much momentum will a dumb-bell of mass `10kg` transfer to the floor if it falls a height of `80 cm`? Take its downward acceleration to be `10 m//s^(2)`.
A force of `5N` gives a mass `m_(1)`, an acceleration of `10m//s^(2)`, and a mass `m_(2)`, an acceleration of `20m//s^(2)`. What acceleration would it give if both the masses were tied together?
An object experiences a net zero external unbalanced force. Is it possible for the object to be travelling with a non-zero velocity? If yes, state the conditions that must be placed on the magnitude and direction of the velocity. If no, provide a reason.
Why is it advised to tie any luggage kept on the roof of a bus with a rope?
A stone of `1kg` is thrown with a velocity of `20 ms^(-1)` across the frozen surface of lake and comes to rest after travelling a distance of `50m`. What is the force of friction between the stone and the ice?

A force of `5N` gives a mass `m_(1)`, an acceleration of `10m//s^(2)`, and a mass `m_(2)`, an acceleration of `20m//s^(2)`. What acceleration would it give if both the masses were tied together?

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment