Home
Class 11
PHYSICS
If a force 10hat(i)+15hat(j)+25hat(k) ac...

If a force `10hat(i)+15hat(j)+25hat(k)` acts on a system and gives an a acceleration `2hat(i)+3hat(j)-5hat(k)` to the centre of mass of the system, the mass of the system is

A

5 units

B

`sqrt(38)` units

C

`5sqrt(38)` units

D

given data is not correct

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(F)_(ext)=Mvec(a)_(CM)" ie, "vec(a)_(CM)` lies in the direction of `vec(F)_(ext)`
Here, `vec(F)_(ext)=5(2hat(i)+3hat(j)+5hat(k)), vec(a)_(CM)=2i+3hat(j)-5hat(k)`
Since, `vec(F)_(ext), and vec(a)_(CM)` are not lying in the same direction, given data is incorrect.
Promotional Banner

Similar Questions

Explore conceptually related problems

If 3hat(i) + 2hat(j) -5hat(k)= x(2hat(i) -hat(j) + hat(k)) + y(hat(i) + 3hat(j)-2hat(k))+z(-2hat(i) + hat(j)-3hat(k)) , then

If the vectors 4hat(i) + 11hat(j) + m hat(k), 7hat(i) + 2hat(j) + 6hat(k) and hat(i) + 5hat(j)+ 4hat(k) are coplanar, them m is equal to .

If the scalar product of the vector hat(i) + vec(j) + 2hat(k) with the unit vector along mhat(i) + 2hat(j) + 3hat(k) is equal to 2, then one of the values of m is

If a + b and a - b are perpendicular and b = 3hat(i) - 4hat(j) + 2hat(k) , then |a| is equal to

If the vectors vec(a)= hat(i)- hat(j) + 2hat(k), vec(b)= 2hat(i) +4 hat(j) + hat(k) and vec(c )= lamda hat(i) + 9hat(j)+ mu hat(k) are mutually orthogonal, then lamda+mu is equal to a)5 b)-9 c)-1 d)0