Calculating Time for 1000kg Boat to Slow from 90km/h to 45km/h

  • Thread starter Thread starter Fallinleave
  • Start date Start date
  • Tags Tags
    Friction
Click For Summary
SUMMARY

The discussion focuses on calculating the time required for a 1000kg boat to decelerate from 90km/h to 45km/h after the engine is shut off. The frictional force acting on the boat is defined by the equation fk = 70v, where fk is in Newtons and v is the speed in meters per second. To determine the time, one must apply Newton's second law to establish the relationship between velocity and acceleration, represented as dv/dt, and solve the resulting differential equation.

PREREQUISITES
  • Understanding of Newton's second law of motion
  • Familiarity with differential equations
  • Knowledge of frictional force concepts
  • Basic skills in unit conversion (km/h to m/s)
NEXT STEPS
  • Study the application of Newton's second law in real-world scenarios
  • Learn how to solve first-order differential equations
  • Explore the concept of frictional forces in fluid dynamics
  • Practice unit conversions between kilometers per hour and meters per second
USEFUL FOR

Students in physics, engineers working on marine dynamics, and anyone interested in the principles of motion and deceleration in fluid environments.

Fallinleave
Messages
9
Reaction score
0
A 1000kg boat is traveling at 90km/h when its engine is shut off. The magnitude of frictional force fk between boat and water is proportional to the speed v of the boar: fk=70v, where v is in meters per second and fk is in Newtons. find the time required for the boat to slow to 45km/h.

The question does not ask for acceleration, so do I need to find the acceleration before finding the time?

In addition, Does anyone knows how to use a math template for posting this type of question?

Thanks,
 
Physics news on Phys.org
Any thought on it would be fine, thanks.
 
Use Newton's second law to get the relation between velocity v and acceleration, dv/dt. Solve the differential equation.

ehild
 

Similar threads

Friction Force and Decelerating Boat
  • · Replies 3 ·
Replies
3
Views
2K
Force and motion in Newton's laws
  • · Replies 2 ·
Replies
2
Views
2K
Boat Friction Physics Problem: Finding the Time to Slow from 90km/h to 45km/h
  • · Replies 21 ·
Replies
21
Views
4K
Finding Time for Boat to Slow Down with Velocity Dependent Forces
  • · Replies 2 ·
Replies
2
Views
3K
Boats in a triangle colliding after some time
  • · Replies 2 ·
Replies
2
Views
2K
Solving Boat's Friction Force and Speed
  • · Replies 9 ·
Replies
9
Views
2K
Friction problem from Halliday and Resnick
  • · Replies 4 ·
Replies
4
Views
4K
Help Solve Differentiation Problem to Slow Boat Speed to 45 km/h
  • · Replies 1 ·
Replies
1
Views
2K
How Long Does It Take for a Boat to Decelerate from 90 km/h to 45 km/h?
  • · Replies 2 ·
Replies
2
Views
2K
Find the time required for the boat to slow to 45 km/hr
  • · Replies 2 ·
Replies
2
Views
2K