A sled is moving down a steep hill. The mass of the sled is 50 kg and the net force acting on it is 20 N. What must be done to find the acceleration of the sled? Check all that apply.


The force of gravity must be broken into its parallel and perpendicular components.

Acceleration can be found by dividing the net force by mass. Acceleration can be found by multiplying the net force by mass.

The magnitude of the force components must be multiplied by gravity.

Trigonometry can be used to solve for the magnitude of the force components.

Net force must be found before acceleration can be found.

Respuesta :

-The force of gravity must be broken into its parallel and perpendicular components.-Acceleration can be found by dividing the net force by mass.-Trigonometry can be used to solve for the magnitude of the force components.-Net force must be found before acceleration can be found.

In order to determine acceleration when we must consider the following;

  • resolve the force of gravity into parallel and perpendicular components.
  • use trigonometry can be used to solve for the magnitude of the force components
  • finally, get the net force before acceleration can be found.

The given parameters include;

mass of the sled, m = 50 kg

applied on the sled, F = 20 N

The acceleration of the sled is calculated from the Newton's second law of motion;

F = ma

where;

a is the acceleration of the sled

To calculate the acceleration, a, we divide the applied force by the mass of the sled;

[tex]F = ma\\\\a= \frac{F}{m}[/tex]

Also, the force of gravity must be resolved into parallel and perpendicular components;

[tex]F_{g} = mg[/tex]

where;

  • g is the acceleration due to gravity

The magnitude of this force can be resolved using trigonometry or Pythagoras theorem.

Finally, determine the net force;

[tex]\Sigma F_{net}= m(a + g)[/tex]

Choosing all the options that apply;

  • resolve the force of gravity into parallel and perpendicular components.
  • use trigonometry can be used to solve for the magnitude of the force components
  • finally, get the net force before acceleration can be found.

Thus, in order to determine acceleration when we must consider all the options that apply.

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