You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Physics

Potential Energy of an Object at a Height

The gravitati...

Question

The gravitational intensity a region is $10 (^i -^j) N / k g$ . The work done by the gravitational force to shift slowly a particle of mass $1 K g$ from point $(1 m, 1 m)$ to a point $(2 m, - 2 m)$ is

10 J

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

- 10 J

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

- 40 J

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

+ 40 J

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

Open in App

Solution

The correct option is D $+ 40 J$
$F_{g} = m_{g} = 1 (10 (^i -^j)) = 10 (^i -^j) N = 10^i - 10 {^j}_{N}$
$\to S = (2^i - 2^j) - (^i -^j) =^i - 3^j m$
Work done, $_{g} . \to S \equiv (10^i - 10^j) . (^i - 3^j) = 10 (1) + (- 10) (- 3) = + 40 J$

Suggest Corrections

Similar questions

Q. The gravitational field in a region is given by

\to E = (2 i + 3 j) N / k g

Find the work done by the gravitational field when a particle of mass

1 k g

is moved on the line

3 y + 2 x = 5

from

(1 m, 1 m)

(- 2 m, 3 m)

Q. Masses of

1 k g

each are placed

1 m

2 m

4 m

8 m

, ... from a point

P

. The gravitational field intensity at

P

due to these masses is

The gravitational field in a region is given by $¯ E = (10 N / k g) (¯ i + ¯ j)$ . The work done by an external agent to slowly shift a particle of mass 2 kg from the point (0,0) to a point (5 m, 4 m) is..

Q. The gravitational potential changes uniformly from

- 20 J / k g

- 40 J / k g

as one moves along X-axis from

x = - 1 m

x = + 1 m

. Mark the correct statement about gravitational field intensity of origin.

Q. The gravitational field in a region due to a certain mass distribution is given by

\to E = (4^i - 3^j) N/kg .

The work done by the field in moving a particle of mass

2 kg

from

(2 m, 1 m)

(\frac{2}{3} m, 2 m)

along the line

3 x + 4 y = 10

Join BYJU'S Learning Program

The gravitational intensity a region is 10(^i−^j)N/kg. The work done by the gravitational force to shift slowly a particle of mass 1 Kg from point (1m,1m) to a point (2m,−2m) is

The correct option is D +40 JFg=m→Eg=1(10(^i−^j))=10(^i−^j)N=10^i−10^jN→S=(2^i−2^j)−(^i−^j)=^i−3^jmWork done, →Fg.→S≡(10^i−10^j).(^i−3^j)=10(1)+(−10)(−3)=+40J

The gravitational intensity a region is $10 (^i -^j) N / k g$ . The work done by the gravitational force to shift slowly a particle of mass $1 K g$ from point $(1 m, 1 m)$ to a point $(2 m, - 2 m)$ is

The correct option is D $+ 40 J$
$F_{g} = m_{g} = 1 (10 (^i -^j)) = 10 (^i -^j) N = 10^i - 10 {^j}_{N}$
$\to S = (2^i - 2^j) - (^i -^j) =^i - 3^j m$
Work done, $_{g} . \to S \equiv (10^i - 10^j) . (^i - 3^j) = 10 (1) + (- 10) (- 3) = + 40 J$