Which would require greater force: accelerating a 10 g mass at $5 m s^{- 2}$ , or 20 g mass at $2 m s^{- 2}$ ?

10 gm mass

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

20 gm mass

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

equal force will be required

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

data insufficient

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

Open in App

Solution

The correct option is C 10 gm mass
case1: $m_{1}$ $=$ 10g $=$ 0.01kg;
$a_{1}$ $=$ 5m $s^{- 2}$
now,
$F_{1}$ $=$ $m_{1} a_{1}$ $=$ 0.01 $\times 5$
$F_{1}$ $=$ 0.05N
case2: $m_{2}$ $=$ 20g $=$ 0.02kg
$a_{2}$ $=$ 2m $s^{- 2}$
so,
$F_{2}$ $=$ $m_{2}$ $a_{2}$ $=$ 0.02 $\times$ 2
or $F_{2}$ $=$ 0.04 N
We find that F1>F2, hence more force is required to accelerate a 10 g mass at 5m $s^{- 2}$ , than accelerating a 20 g mass at 2m $s^{- 2}$ .

Suggest Corrections

Similar questions

Which would require a greater force acceleration a 2kg mass at 5m/s*s or a 4kg mass at 2m/s*s

Q. (a) Newton's first law of motion gives a qualitative definition of force. Justify.
(b) Which would require a greater force for accelerating - a

2 k g

of mass at

4 {m s}^{- 2}

or a

3 k g

of mass at

2 {m s}^{- 2}

Q. Which would require a greater force – accelerating a 2 kg mass at

5

m / s^{2}

or a 4 kg mass at

2

m / s^{2}

Which would require a greater force accelerating at 2 kg mass at 5 metre per second or a 4 kg mass at 2 metre per second ?

The earth's gravitational force causes an acceleration of 5 $m s^{- 2}$ in a 1 kg mass somewhere in space. How much will the acceleration of a 3 kg mass be at the same place?

Join BYJU'S Learning Program

Which would require greater force: accelerating a 10 g mass at 5ms−2, or 20 g mass at 2ms−2?

The correct option is C 10 gm masscase1:m1=10g=0.01kg;a1=5ms−2now,F1=m1a1=0.01×5F1=0.05Ncase2:m2=20g=0.02kga2=2ms−2so,F2=m2a2=0.02×2or F2=0.04 NWe find that F1>F2, hence more force is required to accelerate a 10 g mass at 5ms−2, than accelerating a 20 g mass at 2ms−2.

Which would require greater force: accelerating a 10 g mass at $5 m s^{- 2}$ , or 20 g mass at $2 m s^{- 2}$ ?