A model train with a mass of #3 kg# is moving along a track at #12 (cm)/s#. If the curvature of the track changes from a radius of #5 cm# to #24 cm#, by how much must the centripetal force applied by the tracks change?

Answer 1

The change in centripetal force is #=0.864N#

Centripetal force is what

#F=(mv^2)/r#
The mass is of the train #m=3kg#
The velocity is #v=0.12ms^-1#

The radii are

#r_1=0.05m#

additionally

#r_2=0.24m#

The centripetal force's variance is

#DeltaF=F_2-F_1#

What are the centripetal forces?

#F_1=3*0.12^2/0.05=0.864N#
#F_2=3*0.12^2/0.24=0.18N#
#DeltaF=0.864-0.18=0.684N#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the change in centripetal force, you can use the formula:

[ F = \frac{mv^2}{r} ]

where:

  • ( m ) is the mass of the train (3 kg)
  • ( v ) is the velocity of the train (12 cm/s)
  • ( r ) is the radius of curvature of the track

First, calculate the initial centripetal force with the initial radius: [ F_{initial} = \frac{3 \times (12)^2}{5} ]

Then, calculate the final centripetal force with the final radius: [ F_{final} = \frac{3 \times (12)^2}{24} ]

Finally, find the change in centripetal force: [ \Delta F = F_{final} - F_{initial} ]

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7