Right. What standard equations might be relevant?Nick63 said:Homework Statement
A 2000 kg boat's motor can exert a force of 6000N. The water provides a resistive force of 2000N. What is the magnitude of the acceleration.
Homework Equations
The Attempt at a Solution
that the boat has a 4000 N total force going foward
acceleration= all forces working on object/mass?haruspex said:Right. What standard equations might be relevant?
Sort of. To be accurate, Acceleration = net force on object / mass.Nick63 said:acceleration= all forces working on object/mass?
so the acceleration would be 2 m/s?haruspex said:Sort of. To be accurate, Acceleration = net force on object / mass.
m/s is a speed, not an acceleration.Nick63 said:so the acceleration would be 2 m/s?
oh 2m/s^2?haruspex said:m/s is a speed, not an acceleration.
Yes.Nick63 said:oh 2m/s^2?
Thank you so much it helps a lot to be able to talk a problem outharuspex said:Yes.
The motor force of 6000 N will determine the acceleration of the boat, which in turn affects the speed. The greater the motor force, the faster the boat will accelerate and reach a higher speed.
The net force acting on the boat is the difference between the motor force (6000 N) and the resistance (2000 N), which is 4000 N. This net force is what causes the boat to move forward.
The resistance of 2000 N acts as a force that opposes the motion of the boat. This means that the boat will require more motor force to overcome this resistance and maintain its speed.
No, the boat will not continue to accelerate with a constant motor force. As the boat reaches a higher speed, the resistance will also increase, causing the net force to decrease and eventually reach a point of equilibrium where the boat will maintain a constant speed.
To increase the boat's speed, the motor force can be increased or the resistance can be decreased. However, it is important to consider the limitations of the boat and ensure that the motor force does not exceed the boat's capabilities.