A person is standing on an object 10 ft high and his weight is 45 kg . Below him is a hay stack 2 m thick. find the force and the impact taken by the hay stack?
To find the force and impact taken by the hay stack, we need to calculate the potential energy of the person at the top of the object and then equate it to the force and impact exerted on the hay stack.
Let's break down the problem step by step:
1. First, we need to convert the height of the object from feet to meters. Since 1 ft = 0.3048 m, the height of the object can be calculated as:
Height = 10 ft * 0.3048 m/ft = 3.048 m
2. Next, we need to calculate the potential energy (PE) of the person standing on the object. The formula for potential energy is given by:
PE = m * g * h
where PE is the potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.
Given that the mass of the person is 45 kg and the height is 3.048 m:
PE = 45 kg * 9.8 m/s^2 * 3.048 m
= 1322.9568 J
Therefore, the potential energy of the person is 1322.9568 Joules.
3. The potential energy of the person at the top of the object is converted into the force and impact exerted on the hay stack. These values depend on the characteristics of the hay stack and the impact criteria. Without specific information about the hay stack, it is challenging to determine the precise force and impact values.
However, we can approximate the force exerted on the hay stack by the person using the formula:
Force = PE / d
where d is the distance over which the force is exerted.
In this case, the distance would be the height of the hay stack, which is given as 2 m. Therefore:
Force = 1322.9568 J / 2 m
= 661.4784 N (approx.)
The impact taken by the hay stack cannot be determined without further information about the hay stack's characteristics, such as its ability to compress or absorb impact.
In conclusion, the force exerted on the hay stack by the person is approximately 661.4784 N, and the impact taken by the hay stack cannot be accurately determined without additional information.