The acceleration of two objects are $5 m / s^{2}$ and $20 m / s^{2}$ . If mass of both the object would be combined and a force of $50 N$ would be applied on them, what will be their acceleration?

3 m / s^{2}

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

4 m / s^{2}

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

0 m / s^{2}

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

200 m / s^{2}

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

Open in App

Solution

The correct option is B $4 m / s^{2}$
Given : $a_{1} = 5$ $m / s^{2}$ $a_{2} = 20$ $m / s^{2}$
Force acting on the individual masses and the combined mass $F = 50$ N
Mass of object 1 $m_{1} = \frac{F}{a_{1}} = \frac{50}{5} = 10$ kg
Mass of object 2 $m_{2} = \frac{F}{a_{2}} = \frac{50}{20} = 2.5$ kg
Thus combined mass of the objects $M = 10 + 2.5 = 12.5$ kg
$∴$ Acceleration of the combined mass $a = \frac{F}{M} = \frac{50}{12.5} = 4$ $m / s^{2}$

Suggest Corrections

Similar questions

A lead bullet of mass 2 Kg, traveling with a velocity of 20 $m s^{- 1}$ , comes to rest after penetrating 20m in a still target. Find the resistive force applied by the target and acceleration of the bullet.

Q. Two blocks with masses

m_{1} = 3 kg

and

m_{2} = 4 kg

are touching each other on a fricionless surface. If a force of

5 N

is applied on

m_{1}

as shown in figure. The acceleration of each block is

Q. An object of mass 16 kg moves with an acceleration of

3 m / s^{2}

. Calculate the force acting on it. If the same force is applied to another object of mass 24 kg, what will be the acceleration ?

Q. A constant force of

5 N

can produce an acceleration of

1 m / s^{2}

on the body of mass m and

2 m / s^{2}

on the body of mass 2m. If both the bodies are tied together and same force is applied, then what will be the acceleration of the system?

Suppose that a box is accelerating at a rate of 2 m/ $s^{2}$ If the net force is tripled and the mass is doubled, then what is the new acceleration of the box?

Join BYJU'S Learning Program

The acceleration of two objects are 5m/s2 and 20m/s2. If mass of both the object would be combined and a force of 50N would be applied on them, what will be their acceleration?

The correct option is B 4 m/s2Given : a1=5 m/s2 a2=20 m/s2Force acting on the individual masses and the combined mass F=50 NMass of object 1 m1=Fa1=505=10 kgMass of object 2 m2=Fa2=5020=2.5 kgThus combined mass of the objects M=10+2.5=12.5 kg∴ Acceleration of the combined mass a=FM=5012.5=4 m/s2

The acceleration of two objects are $5 m / s^{2}$ and $20 m / s^{2}$ . If mass of both the object would be combined and a force of $50 N$ would be applied on them, what will be their acceleration?