Problemas
An automobile is sitting on a hill which is 20 m higher than ground level. Find the mass of the automobile if It contains 362,600 J of potential energy. a 1850 kg b 6489J C 362,630J d 18130J
Roztwór
Marcelo
maestro · Tutor durante 5 años
4.4
(358 Votos)
Respuesta
The mass of the automobile is 1850 kg.
Explicación
## Step 1The problem involves the calculation of the mass of an automobile given its potential energy and the height of the hill it is on. The formula for potential energy is:### **Potential Energy = mass * gravity * height**where:- Potential Energy is the energy an object possesses due to its position relative to other objects,- mass is the amount of matter in an object,- gravity is the acceleration due to gravity, and- height is the distance of the object from the ground.## Step 2In this problem, the potential energy is given as 362,600 J, the height is 20 m, and the acceleration due to gravity is approximately 9.8 m/s².## Step 3We can rearrange the formula to solve for mass:### **mass = Potential Energy / (gravity * height)**## Step 4Substitute the given values into the formula:### **mass = 362,600 J / (9.8 m/s² * 20 m)**## Step 5Calculate the mass:### **mass = 1850 kg**