A crane lifts a box of mass $400 k g$ through a vertical height of $40 m$ . If acceleration due to gravity is $9.8 m / s^{2}$ , calculate the work done by the crane.

Open in App

Solution

Step 1: Given data
Given that: -
Mass of box, $m = 400 k g$
Vertical height, $s = 40 m$
Acceleration due to gravity, $g = 9.8 m / s^{2}$
Work done, $W = ?$ (To be calculated)
Step 2: Calculating the force required by a crane to lift the box
Applying, $F = m \times g$
By putting the given values in a formula, we get
$F = 400 k g \times 9.8 m / s^{2} ∴ F = 3920 N$
Step 3: Calculating the work done
Applying, $W o r k d o n e (W) = f o r c e (F) \times d i s p l a c e m e n t (s)$
By putting the given values in a formula, we get
$W = F \times s W = 3920 N \times 40 m W = 1, 56, 800 J$
Hence, work done by the crane is $1, 56, 800 J$

Suggest Corrections

Similar questions

250 J work is done to lift a bucket of mass 10 kg at a certain height. Calculate the height through which the bucket is lifted. Consider acceleration due to gravity as 10 $\frac{m}{s^{2}}$ .

A crane lifts a block of mass 400 kg through a vertical height of 40 m. If acceleration due to gravity is 9.8 m/s², calculate the work done by the crane.

A crane lifts a box of mass 400kg through a vertical height of 40m if accleration due to gravity is 9.8m/s²calculate the work done by the crane.

Q. A crane lifting a box of mass

100 k g

at a constant velocity to a height of

8 m

over a time of

4 s

. The crane then holds the box for

20 s

.
Calculate the power required by the crane in lifting the box?

Q. A crane can lift a box of 600 kg mass to a height of 20 m in 2 minutes. Calculate the power at which the crane is operating ?

Join BYJU'S Learning Program

A crane lifts a box of mass 400kg through a vertical height of 40m. If acceleration due to gravity is 9.8m/s2, calculate the work done by the crane.

A crane lifts a box of mass $400 k g$ through a vertical height of $40 m$ . If acceleration due to gravity is $9.8 m / s^{2}$ , calculate the work done by the crane.