A force: $F = (6^i - 8^j + 10^k) N$ produces an acceleration of $1 m / s^{2}$ in a body. The mass of body would be:

200 K g

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

20 K g

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

10 \sqrt{2} K g

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

6 \sqrt{2} K g

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

Open in App

Solution

The correct option is B $10 \sqrt{2} K g$
Magnitude of the force is given as:
$F = \sqrt{6^{2} + (- 8^{2}) + 10^{2}}$ N
$= 10 \sqrt{2}$ N

Force = Mass $\times$ Acceleration
$10 \sqrt{2}$ = Mass $\times$ $1$
Mass = $10 \sqrt{2} K g$

Suggest Corrections

Similar questions

A force vector applied on a mass is represented as $\to F = 6^i - 8^j + 10^k$ and accelerates with $1 m / s^{2}$ . What will be the mass of the body in kg?

Q. A force F=(6i cap - 8j cap + 10 k cap)N produces an acceleration of 1 m/ second square in a body. The mass of the body would be:
(A) 200 kg (B) 20 kg. (C) 10√2 kg. (D) 6√2 kg

A force vector appliedon a body is given by $\to F = 6^i - 8^j + 10^k$ and acquires an acceleration $1 m s^{2}$ Then the mass of the body is

Q. A force

F = 10 \sqrt{2}

newton produces acceleration

1 m / s^{2}

in a body. The mass of the body is (in kg) :

Q. A force vector applied on a mass is represented as

\to F = 6^i - 8^j + 10^k

and the magnitude of acceleration of the body is 1

m / s^{2}

. What will be the mass of the body in kg.

Join BYJU'S Learning Program

A force: F=(6^i−8^j+10^k) N produces an acceleration of 1 m/s2 in a body. The mass of body would be:

The correct option is B 10√2 KgMagnitude of the force is given as:F=√62+(−82)+102 N =10√2 NForce = Mass × Acceleration10√2 = Mass × 1Mass = 10√2Kg

A force: $F = (6^i - 8^j + 10^k) N$ produces an acceleration of $1 m / s^{2}$ in a body. The mass of body would be:

The correct option is B $10 \sqrt{2} K g$
Magnitude of the force is given as:
$F = \sqrt{6^{2} + (- 8^{2}) + 10^{2}}$ N
$= 10 \sqrt{2}$ N

Force = Mass $\times$ Acceleration
$10 \sqrt{2}$ = Mass $\times$ $1$
Mass = $10 \sqrt{2} K g$