A 4-kg sled sliding freely on an icy surface experiences a 2 _ N frictional force exerted by the ice and an air-resistive force of 0.5 N.
a. What is the net force acting on the sled?
b. What is the acceleration of the sled?
a.
Both friction and air resistance oppose motion. So the net force is -2N (friction) + -0.5N (air resistance) = -2.5N, where positive is the direction of motion.
b.
F = ma, so a = F/m. You know force and mass, a=?
a. -2.5
b. 0.625
To find the net force acting on the sled, we need to add up all the forces acting on it.
a. The net force is the sum of the frictional force and the air-resistive force. Therefore, the net force is:
Net force = Frictional force + Air-resistive force
Given that the frictional force is 2 N and the air-resistive force is 0.5 N, we can substitute these values into the equation:
Net force = 2 N + 0.5 N
Net force = 2.5 N
Therefore, the net force acting on the sled is 2.5 N.
b. To find the acceleration of the sled, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
Acceleration = Net force / Mass
Given that the net force is 2.5 N and the mass of the sled is 4 kg, we can substitute these values into the equation:
Acceleration = 2.5 N / 4 kg
Acceleration = 0.625 N/kg
Therefore, the acceleration of the sled is 0.625 N/kg.
To determine the net force acting on the sled, we need to consider both the frictional force and the air-resistive force. The net force is the vector sum of these two forces. We can calculate it using the equation:
Net force = Frictional force + Air-resistive force
a. To find the net force, we substitute the given values into the equation:
Net force = 2 N + 0.5 N
Net force = 2.5 N
Therefore, the net force acting on the sled is 2.5 N.
b. To find the acceleration of the sled, we can use Newton's second law of motion, which states:
Net force (F_net) = Mass (m) × Acceleration (a)
Rearranging the equation, we get:
Acceleration (a) = Net force (F_net) / Mass (m)
Substituting the known values, we can calculate the acceleration:
Acceleration (a) = 2.5 N / 4 kg
Acceleration (a) = 0.625 m/s^2
Therefore, the acceleration of the sled is 0.625 m/s^2.