A 20 g fridge magnet is being held onto the fridge by a 0.9 N force. coefficient of kinetic friction is 0.3 .
a. calculate the friction acting on the magnet.
b. calculate the weight of the magnet
c.the acceleration of the magnet.
also, explain the situation, cause i don't get it.
Sure, let's break down and explain the situation step by step.
In this scenario, we have a fridge magnet with a mass of 20 grams (or 0.02 kilograms) being held onto the fridge by a force of 0.9 Newtons. We are given a coefficient of kinetic friction of 0.3.
a. To calculate the friction acting on the magnet, we can use the formula for frictional force:
Frictional force = coefficient of friction * normal force.
In this case, the normal force is equal to the weight of the magnet, which we'll calculate in part b. So let's move on to that.
b. The weight of the magnet can be calculated using the formula:
Weight = mass * acceleration due to gravity.
The acceleration due to gravity is approximately 9.8 m/s^2. Plugging in the values, we get:
Weight = 0.02 kg * 9.8 m/s^2 = 0.196 N.
Therefore, the weight of the magnet is 0.196 Newtons.
c. Finally, let's calculate the acceleration of the magnet. We'll use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and its acceleration:
Net force = mass * acceleration.
In this case, the net force is the difference between the applied force (0.9 N) and the frictional force. So:
Net force = 0.9 N - frictional force.
Since we now know the weight of the magnet (0.196 N) from part b, we can substitute it into the equation:
Net force = 0.9 N - 0.196 N = 0.704 N.
Now we can calculate the acceleration:
0.704 N = 0.02 kg * acceleration.
Dividing both sides by 0.02 kg, we get:
acceleration = 0.704 N / 0.02 kg = 35.2 m/s^2.
Therefore, the acceleration of the magnet is 35.2 m/s^2.
To summarize, the situation involves a 20 g magnet being held onto a fridge by a 0.9 N force. The magnet experiences a frictional force, which we calculated to be 0.196 N, due to the coefficient of kinetic friction of 0.3. Finally, the magnet has an acceleration of 35.2 m/s^2.