You are helping your friend move a new refrigerator into his kitchen. You apply a horizontal force of 273 N in the negative x direction to try and move the 53 kg refrigerator. The coefficient of static friction is 0.68.(a)How much static frictional force does the floor exert on the refrigerator? Give both magnitude (in N) and direction.magnitude Ndirection (b)What maximum force (in N) do you need to apply before the refrigerator starts to move? N
Question
You are helping your friend move a new refrigerator into his kitchen. You apply a horizontal force of 273 N in the negative x direction to try and move the 53 kg refrigerator. The coefficient of static friction is 0.68.(a)How much static frictional force does the floor exert on the refrigerator? Give both magnitude (in N) and direction.magnitude Ndirection (b)What maximum force (in N) do you need to apply before the refrigerator starts to move? N
Solution
(a) The static frictional force (Fs) can be calculated using the formula:
Fs = μs * N
where μs is the coefficient of static friction and N is the normal force. In this case, the normal force is equal to the weight of the refrigerator, which is its mass (m) times the acceleration due to gravity (g). So,
N = m * g
Substituting the given values:
N = 53 kg * 9.8 m/s² = 519.4 N
Then, calculate the static frictional force:
Fs = 0.68 * 519.4 N = 353.19 N
The direction of the static frictional force is opposite to the direction of the applied force. Since the applied force is in the negative x direction, the static frictional force is in the positive x direction.
(b) The maximum force you need to apply before the refrigerator starts to move is equal to the static frictional force. So, you need to apply a force of 353.19 N in the negative x direction to start moving the refrigerator.
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