Crane Lifting a Car -- Find the Work Done

In summary, the work done by the crane is 3.6 J and the work done by the car is 0.72 J. The car starts from rest and the crane exerts a force of 30 kN. The work-kinetic energy theorem can be used to find the work done by the car.
  • #1
stphnls
1
0
Homework Statement
A car of mass 2000kg is loaded by a crane exerting an upward force of 30kN. With
this constant force, the car moved 4m. Find the a.) work done by the crane b.) work
done by the gravity c.) the speed of the car after 4m.
Relevant Equations
W(total)=1/2m2v2^2-1/2m1v1^2
Work=Fd
Work=Fdcos theta
W= Fd
W= 3NX1.20m
W= 3.6 J is the work done by the crane
W=Fd
W=0.6Nx1.20m
W=0.72 J is the work done by the car
I have no idea how to solve the c, I am thinking at first that the work done by the crane and the car are zero because cos 90 is zero and there are perpendicular to each other. I really don't know what to do.
 
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  • #2
Welcome to PF @stphnls
:welcome:

stphnls said:
W=0.72 J is the work done by the car
Work done by the car on what? Where did you get the numbers 0.6 N and 1.20 m?

Use the work-kinetic energy theorem. You have to assume that the car starts from rest because no information is given to the contrary. Also note that the crane exerts a force of 30 kN = 30,000 N.
 
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1. How does a crane lift a car?

A crane lifts a car by using a combination of mechanical force and hydraulics. The crane's boom and hoist system provides the mechanical force, while the hydraulic system controls the movement and lifting of the car.

2. How much work is done when a crane lifts a car?

The amount of work done when a crane lifts a car depends on the weight of the car and the distance it is lifted. The formula for work is W = F x d, where W is work, F is force, and d is distance. So, the greater the weight and distance, the more work is done.

3. What factors affect the work done when a crane lifts a car?

The main factors that affect the work done when a crane lifts a car are the weight of the car, the distance it is lifted, and the efficiency of the crane's mechanical and hydraulic systems. Other factors such as wind, friction, and the condition of the crane can also have an impact.

4. Can a crane lift a car of any weight?

No, a crane has a maximum weight capacity that it can lift safely. Exceeding this weight limit can cause damage to the crane and put the operator and surrounding area at risk. It is important to know the weight of the car and the weight capacity of the crane before attempting to lift it.

5. How do you calculate the work done when a crane lifts a car?

To calculate the work done when a crane lifts a car, you need to know the weight of the car and the distance it is lifted. Then, you can use the formula W = F x d, where W is work (in joules), F is the force (in newtons), and d is the distance (in meters). You can also use online calculators or consult with a professional to determine the work done by a crane lift.

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