Chapter 7: Q. 20 (page 178)

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of $6.0 k g$ , accelerates downward at $\frac{3}{4} g$ . What is the mass of the other block?

Short Answer

Expert verified

The mass of the second block is $\frac{6}{7} k g$ .

Step by step solution

Given information

The rope is a massless, frictionless, and stationary pulley.

$m_{1} = 6.0 k g a = \frac{3}{4} g$

Explanation

Apply Newton's second law on m₁ and $m_{2}$ with former going down and later going up.

m_{1} a = m_{1} g - T \dots \dots (1) m_{2} a = T - m_{2} g \dots \dots (2)

On adding equation $(1)$ and equation $(2)$

$g [m_{1} - m_{2}] = a [m_{1} + m_{2}] m_{2} = m_{1} \frac{[g - a]}{[g + a]} \dots \dots (3)$

Substituting the given data in the equation $(3)$

localid="1649613361939" $m_{2} = (6 k g) \times \frac{[g - \frac{3}{4} g]}{[g + \frac{3}{4} g]} m_{2} = \frac{6}{7} k g$

The mass of the second block is $\frac{6}{7} k g$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of $6.0 k g$ , accelerates downward at $\frac{3}{4} g$ . What is the mass of the other block?

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

Geometrical and Physical Optics

Translational Dynamics

Circular Motion and Gravitation

Measurements

Oscillations

Study anywhere. Anytime. Across all devices.

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of 6.0kg, accelerates downward at 34g. What is the mass of the other block?

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity

Geometrical and Physical Optics

Translational Dynamics

Circular Motion and Gravitation

Measurements

Oscillations

Study anywhere. Anytime. Across all devices.

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of $6.0 k g$ , accelerates downward at $\frac{3}{4} g$ . What is the mass of the other block?