Log In Start studying!

Select your language

Suggested languages for you:
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q7-11Q

Expert-verified
Fundamentals Of Physics
Found in: Page 170

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

In three situations, a single force acts on a moving particle. Here are the velocities (at that instant) and the forces: (1) v =(-4i)m/s, f =(6i -20)N: (2) v=(-3i+j)m/s, f=(2i+6j)N(3) v=(-3i+j)m/s,f=(2i +6j)N. Rank the situations according to the rate at which energy is being transferred, greatest transfer to the particle ranked first, greatest transfer from the particle ranked last.

The rank of the situations according to the rate at which energy is being transferred is 2 > 3 > 1.

See the step by step solution

Step by Step Solution

Step 1: The given data

The three situations are:

v=-4i & F=6i-20jv=2i-3j & F=-2j+7kv=-3i+j& F=2i+6j

Step 2: Understanding the concept of the rate of the energy transfer

Using the formula for power, i.e., rate of work done per unit time, we can rank the situations. So, using the formula of work in power, we can get the exact value of all the given situations.

Formulae:

The rate of energy transfer or work done of a body, P=Wt (i)

The net energy transfer is equal to the work done by a body, W=F.d (ii)

Step 3: Calculation of the rank according to the rate of the energy transfer

We know that the power is the rate of energy transfer and is given using equation (ii) in equation (i) as follows:

P=F.dt=F.v ..............a

So for case 1,

v=-4i & F=6i- 20j

So, the value of the power is given using the given values equation (a) as:

P1=-4i6i - 20j=-24W

For case 2,

role="math" localid="1657171186237" v=-2i+3j& F=-2i+7k

So, the value of the power is given using the given values equation (a) as:

P2 =2i-3j. -2j+7k=6W

For case 3,

v=-3i+j & F=2i+6j

So, the value of the power is given using the given values equation (a) as:

P3 =3i +j.2i +6j =0W

So, the rank of the situations according to the rate of energy is 2 > 3 > 1.

Most popular questions for Physics Textbooks

Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.