How much work is required to push a crate at constant velocity with a force of 185 N across a floor a distance of 8 m?
J
How many calories of thermal energy are produced by the friction?
cal
185 * 8 = 1480 Joules
1480 Joules = 3537 cal
To calculate the work done in pushing the crate, you can use the formula:
Work = Force x Distance
Given that the force applied is 185 N and the distance is 8 m, you can substitute these values into the formula:
Work = 185 N x 8 m = 1480 J
So, the work required to push the crate across the floor is 1480 Joules.
To calculate the amount of thermal energy produced by friction, you need to know the coefficient of friction and the weight of the crate.
First, calculate the weight of the crate using the formula:
Weight = Mass x Gravity
Assuming the mass of the crate is 'm' and taking the acceleration due to gravity as approximately 9.8 m/s^2, you can calculate the weight:
Weight = m x 9.8 N/kg
Once you have the weight, you can use the following equation to calculate the force of friction:
Force of Friction = Coefficient of Friction x Weight
The coefficient of friction depends on the materials in contact. Without this information, I cannot provide an exact value, but assuming it to be 'μ', you can calculate the force of friction:
Force of Friction = μ x Weight
Finally, use the following formula to calculate the thermal energy produced:
Thermal Energy = Force of Friction x Distance
Given the force of friction and the distance, you can substitute these values into the formula to calculate the thermal energy produced.
Keep in mind that one calorie is equal to 4.184 J, so you can convert the thermal energy from Joules to calories by dividing by the conversion factor.
Please provide the coefficient of friction and crate's weight to get a more accurate answer.