The ratio of masses of two bodies is 3:4 by applying a certain force on first body and acceleration of 6m/s^2 is produced.How much acceleration will be produced in the second body by the same force.?

Question

Answer

Given Information:
Ratio of masses of two bodies = 3:4
Acceleration produced in the first body = 6 m/s^2

Explanation:

Step 1: Find the acceleration produced in the second body
Let the masses of the two bodies be 3x and 4x respectively. According to the given ratio,
Mass of the first body = 3x
Mass of the second body = 4x
Now, the force applied on both bodies is the same. Let's denote this force as F.
Using Newton's second law of motion, we know that Force = mass x acceleration.
For the first body: 3x * 6 = F
For the second body: 4x * a = F, where 'a' is the acceleration produced in the second body.
Since the force is the same in both cases, we can equate the two equations:
3x * 6 = 4x * a

Step 2: Solve for acceleration in the second body
18x = 4x * a
a = 18/4
a = 4.5 m/s^2
Therefore, the acceleration produced in the second body by the same force is 4.5 m/s^2.

Similar Class 9 Doubts

A force of 5N is applied on a body of mass M to produce an acceleration of 10 ms–2. The same force when applied on another body of mass ‘m’ produces acceleration of 20 ms–2. Find the acceleration produced by the force when both the masses are combined together

The breaks apply to a car produce an acceleration of 6m/s in opposite directions to the motions. If the car takes 3 sec come to rest after applying break calculate • initial Velocity •the distance covered by a car before stopping?

The brakes applied to a car produces a negative acceleration of 10m/s^2.If car takes 5 seconds to stop after applying brakes,calculate distance covered by car before coming to rest.?

In physics, gravitational acceleration is the acceleration on an object caused by the force of gravitation. Neglecting friction such as air resistance, all small bodies accelerate in a gravitational field at the same rate relative to the center of mass.

A force of 5 N produces an acceleration of 8 m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2. What acceleration would the same force produce, if both the masses are tied together?

Top Courses for Class 9View all

Science Class 9

Social Studies (SST) Class 9

Mathematics (Maths) Class 9

English Grammar Advanced

English Class 9

Top Courses for Class 9

Top Courses for Class 9

Suggested Free Tests

Related Content

Class 9 Study Material

Class 9 Subjects

Competitive Examinations for Class 9

NCERT Books

NCERT Solutions

Reference Books for Class 9

Other Popular Exams

Company