A force of $5 N$ produces an acceleration of 8 $m s^{- 2}$ on a mass $m_{1}$ and an acceleration of 24 $m s^{- 2}$ on a mass $m_{2}$ . What acceleration (in $m s^{- 2}$ ) would the same force provide if both the masses are tied together?

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

7

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $6$
From Newton's second law of motion, the applied force is directly proportional to the acceleration produced or $F = m a$
The unit of force is newton in SI denoted by the symbol N.
Forces acting on a mass $m_{1}$ with acceleration $a_{1}$ and mass $m_{2}$ with acceleration $a_{2}$ are as given below.
$m_{1} = \frac{F}{a_{1}} = \frac{5}{8} k g .$
$m_{2} = \frac{F}{a_{2}} = \frac{5}{24} k g .$
$M = (\frac{5}{8} + \frac{5}{24}) k g = (\frac{5}{6}) k g$
Acceleration produced in M (when the two masses are tied together),
$a = \frac{F}{M} = \frac{5}{\frac{5}{6}} = 6 m s^{- 2}$

Suggest Corrections

Similar questions

A force of 5 N produces an acceleration of 8 m $s^{- 2}$ on a mass $m_{1}$ and an acceleration of 24 m $s^{- 2}$ on mass $m_{2}$ . What acceleration would the same force provide if both the masses are tied together?

Q. Question 19
Derive the unit a force using the second law of motion. A force of 5 N produces an acceleration of

8 m s^{- 2}

on a mass

m_{1}

and an acceleration of

24 m s^{- 2}

on mass

m_{2}

. What acceleration would the same force provide if both the masses are tired together?

Q. A force of 5 N gives a mass

m_{1}

. an acceleration of 10 m

s^{- 2}

and a mass

m_{2}

. an acceleration of 20 m

s^{- 2}

. What acceleration would it give if both the masses were tied together?

Join BYJU'S Learning Program

A force of 5 N produces an acceleration of 8 ms−2 on a mass m1 and an acceleration of 24 ms−2 on a mass m2 . What acceleration (in ms−2) would the same force provide if both the masses are tied together?

A force of $5 N$ produces an acceleration of 8 $m s^{- 2}$ on a mass $m_{1}$ and an acceleration of 24 $m s^{- 2}$ on a mass $m_{2}$ . What acceleration (in $m s^{- 2}$ ) would the same force provide if both the masses are tied together?