A body, under the action of a force vec F =6 hat i -8 hat j +10 hat k , acquires an acceleration of 1 m / s 2. The mass of this body must be :

Question

A body, under the action of a force vec F =6 hat i -8 hat j +10 hat k , acquires an acceleration of 1 m / s 2. The mass of this body must be : (A) 10 kg (B) 20 kg (C) 10√2 kg (D) 2√10 kg

Tardigrade Admin · Accepted Answer

vecF=6 hati-8 hatj+10 hatk | vecF|=√36+64+100 =√200 N =10 √2 N. Acceleration, a=1 ms -2 ∴ Mass, M=(10 √2/1)=10 √2 kg.

Q. A body, under the action of a force $F = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}$ , acquires an acceleration of $1 m / s^{2}$ . The mass of this body must be :

$10 k g$

$20 k g$

$102 k g$

$210 k g$

$F = 6 \hat{i} - 8 \hat{j} + 10 \hat{k}$
$∣ F ∣ = 36 + 64 + 100$
$= 200 N = 102 N$ .
Acceleration, $a = 1 m s^{- 2}$
$∴$ Mass, $M = \frac{10 2}{1} = 102 k g$ .

Q. A body, under the action of a force F=6i^−8j^​+10k^, acquires an acceleration of 1m/s2. The mass of this body must be :

10kg

20kg

102​kg

21​0kg