What force of friction would be felt between a 5 kg sled and the ground if a 20 N force is needed to cause it to accelerate at a rate of 1.3 m/s squared?
To determine the force of friction between the sled and the ground, we can start by using Newton's second law, which states that force (F) is equal to the mass (m) multiplied by the acceleration (a), i.e., F = m * a.
In this case, the force needed to cause the sled to accelerate is given as 20 N, and the mass of the sled is given as 5 kg. The acceleration is given as 1.3 m/s^2. We can plug these values into the formula to solve for the force of friction.
F = m * a
20 N = 5 kg * 1.3 m/s^2
Now, to calculate the force of friction, we need to rearrange the equation:
Force of friction = force - force applied
Force of friction = 20 N - (5 kg * 1.3 m/s^2)
Plugging in the values, we can now calculate:
Force of friction = 20 N - (5 kg * 1.3 m/s^2)
Force of friction = 20 N - 6.5 N
Force of friction = 13.5 N
Therefore, the force of friction between the sled and the ground would be 13.5 N.