Displacement of a body is $(5 ¯ i + 3 ¯ j - 4 ¯ ¯ ¯ k) m$ when a force $(6 ¯ i + 6 ¯ j + 4 ¯ ¯ ¯ k) N$ acts for $5 s$ . The power in watt is:

16

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

9.6

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

6.4

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

3.2

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

Open in App

Solution

The correct option is B $6.4$
Work done is $W = \int F . d r = F . r$
Since force is constant and body starts from origin.
Hence,
$W = (5 i + 3 j - 4 k) (6 i + 6 j + 4 k) = 30 + 18 - 16 = 32 J$

Hence, power is $P = \frac{32}{5} = 6.4 W$

Suggest Corrections

Similar questions

Q. The torque of the force

\to F = (2 ˆ i - 3 ˆ j + 4 ˆ k) N

acting at a point

\to r = (3 ˆ i + 2 ˆ j + 3 ˆ k) m

about the origin will be

Q. A force of

2^i + 3^j + 2 k N

acts on a body for 4 s and produces a displacement of

3^i + 4^j + 5^k m

calculate the power ?

Q. If a force of 25 N acts on a body for 4 s and displaces it by 5 m, then the work done is joules, and the power is watts.

Q. A force

150 N

acts on a body mass

10 k g

for

5 s

. The change in velocity in

A force of 20 N acts on a body of mass 4 kg for 5 s when it is initially at rest. Calculate the velocity acquired by the body and change in momentum of the body. [3 MARKS]

Join BYJU'S Learning Program

Displacement of a body is (5¯i+3¯j−4¯¯¯k)m when a force (6¯i+6¯j+4¯¯¯k)N acts for 5 s. The power in watt is:

The correct option is B 6.4Work done is W=∫F.dr=F.r Since force is constant and body starts from origin. Hence, W=(5i+3j−4k)(6i+6j+4k)=30+18−16=32 JHence, power is P=325=6.4 W

Displacement of a body is $(5 ¯ i + 3 ¯ j - 4 ¯ ¯ ¯ k) m$ when a force $(6 ¯ i + 6 ¯ j + 4 ¯ ¯ ¯ k) N$ acts for $5 s$ . The power in watt is:

The correct option is B $6.4$
Work done is $W = \int F . d r = F . r$
Since force is constant and body starts from origin.
Hence,
$W = (5 i + 3 j - 4 k) (6 i + 6 j + 4 k) = 30 + 18 - 16 = 32 J$

Hence, power is $P = \frac{32}{5} = 6.4 W$