Question map
Not attempted Correct Incorrect ★ Bookmarked
Loading…
Q6 (CDS-I/2022) Science & Technology › Basic Science (Physics, Chemistry, Biology) › Basic mechanics concepts Answer Verified

What happens to the gravitational force between two objects if the mass of one object is doubled and the distance between them is also doubled ?

Result
Your answer: —  Â·  Correct: C
Explanation

According to Newton's Universal Law of Gravitation, the gravitational force (F) between two objects is directly proportional to the product of their masses (m1 and m2) and inversely proportional to the square of the distance (r) between them, expressed as F = G(m1*m2)/r^2. If the mass of one object is doubled, the force initially doubles (2F). However, the force is also subject to the inverse-square law regarding distance; doubling the distance (2r) results in the force being divided by the square of that factor, which is 4 (1/2^2). Combining these changes, the new force becomes (2 * F) / 4, which simplifies to F/2. Therefore, the net effect of doubling one mass and doubling the distance is that the gravitational force is halved.

How others answered
Each bar shows the % of students who chose that option. Green bar = correct answer, blue outline = your choice.
Community Performance
Out of everyone who attempted this question.
100%
got it right
✓ Thank you! We'll review this.

SIMILAR QUESTIONS

CDS-II · 2020 · Q87 Relevance score: 5.22

If the distance between two objects is increased by two times, the gravitational force between them will

NDA-I · 2016 · Q11 Relevance score: 4.90

Suppose the force of gravitation between two bodies of equal masses is F. If each mass is doubled keeping the distance of separation between them unchanged, the force would become

CDS-II · 2020 · Q86 Relevance score: 0.50

If the linear momentum of a moving object gets doubled due to application of a force, then its kinetic energy will

NDA-I · 2013 · Q98 Relevance score: 0.38

Gravitational force shares a common feature with electromagnetic force. In both cases, the force is

NDA-I · 2012 · Q30 Relevance score: 0.16

Two similarly charged bodies are kept 5 cm apart in air. If the second body is shifted away from the first by another 5 cm, their force of repulsion will be