Hello! I need help with an A-level physics question. The question is:
A body hangs from a spring-balance which is suspended from the ceiling of a lift. What is the mass of the body if the balance registers a reading of 70N when the lift has an upward acceleration of 4.0ms^-2? (g = 10ms^-2) The answer the book gives is 5kg, but I need help figuring out how you arrive at the answer.
Best way of approaching this is to just consider the forces on the body that is hanging in the lift. The body itself only has two forces acting on it, the weight and the tension of the spring. We know the tension must be 70N as the question has told you the reading. You can use this information to get the resultant force on the body in terms of m. Using this you can work out the mass of the body with F=ma, as you also know the acceleration.
Best way of approaching this is to just consider the forces on the body that is hanging in the lift. The body itself only has two forces acting on it, the weight and the tension of the spring. We know the tension must be 70N as the question has told you the reading. You can use this information to get the resultant force on the body in terms of m. Using this you can work out the mass of the body with F=ma, as you also know the acceleration.