Answer:
The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be different due to factors such as air resistance and efficiency of the crane.
Step-by-step explanation:
The amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. To determine the height to which the car was lifted, we need to use the equation of work done (W) which is equal to the force applied (F) multiplied by the distance moved (d). Work done here is equal to 3MJ, force applied is equal to the mass of the car (10,000 kg) multiplied by the gravitational acceleration (10m/s2). Therefore, the equation to determine the distance moved (d) is:
W = Fd
3MJ = (10,000kg)(10m/s2)d
d = 3MJ/(10,000kg)(10m/s2)
d = 3,000m
This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be slightly different due to various factors such as air resistance and the efficiency of the crane.
To understand how this calculation was made, it is important to understand the concept of work. Work is defined as the product of force and the distance moved in the direction of the force. In this case, the force is the gravitational force acting on the car which is equal to the mass of the car multiplied by the gravitational acceleration (10m/s2). The distance moved is in the direction of the gravitational force which is upwards.
The next step is to calculate the work done by the crane in lifting the car. Work done is equal to the force applied multiplied by the distance moved. Here, the force applied is the mass of the car (10,000 kg) multiplied by gravitational acceleration (10m/s2) and the distance moved is the height to which the car was lifted. From the equation of work done, we can calculate the distance moved (d) which is equal to the work done (3MJ) divided by the force applied (10,000kg)(10m/s2). This gives us a value of 3,000m for the distance moved, which is the height to which the car was lifted.
In conclusion, the amount of work done by a crane in lifting a 10,000 kg car is estimated to be 3MJ. This means that the car was lifted to a height of 3,000m. It is important to note that this is an approximate value as the actual height could be slightly different due to various factors such as air resistance and the efficiency of the crane.