Question

A stubborn 130 kg pig sits down and refuses to move. to drag the pig to the barn, the exasperated farmer ties a rope around the pig and pulls with his maximum force of 800 n. the coefficients of friction between the pig and the ground are μs=0.80 and μk=0.50. part a calculate the force which farmer needs to apply to budge the pig.

Answer 1

To calculate the force needed to budge the stubborn pig, we need to consider the frictional forces acting on it. Given the given values of μs and the weight of the pig, the force required to budge the pig can be found by subtracting the force of friction from the maximum force the farmer can exert.

Step-by-step explanation:

To calculate the force needed to budge the stubborn pig, we need to consider the frictional forces acting on it. The friction force can be calculated using the formula F_friction = μs ×F_normal, where F_normal is the normal force acting on the pig. The normal force is equal to the weight of the pig, which is given by F_weight = m × g, where m is the mass of the pig and g is the acceleration due to gravity.

Using the given values of μs and the weight of the pig, we can calculate the force of friction. Given that the maximum force the farmer can exert is 800 N, the force required to budge the pig can be found by subtracting the force of friction from the maximum force.

Let's calculate the force:

1. Calculate the weight of the pig using the formula F_weight = m × g, where m is the mass of the pig (130 kg) and g is the acceleration due to gravity (9.8 m/s^2).
2. Calculate the force of friction using the formula F_friction = μs × F_normal, where μs is the static coefficient of friction (0.80) and F_normal is the normal force (weight of the pig).
3. Subtract the force of friction from the maximum force the farmer can exert to find the force required to budge the pig.

The force required to budge the pig is approximately 520 N.

Answer 2

Unless the pig moves static friction acts on it once the pig starts moving kinetic friction comes in to play so when the pig is not moving=frictional force acting on it =normal force*co-efficient of static friction.