# How mush work is done in lifting a 40 kilogram weight to a height of 1.5 meters?

Always start with the definition:

By signing up, you agree to our Terms of Service and Privacy Policy

The work done in lifting a 40-kilogram weight to a height of 1.5 meters can be calculated using the formula for work:

[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) ]

Where:

- Force is the force exerted to lift the weight, which is equal to the weight of the object in this case.
- Distance is the height through which the object is lifted.
- θ is the angle between the force vector and the direction of motion. Since the force and the direction of motion are in the same line, θ = 0 and cos(θ) = 1.

Given:

- Mass (m) = 40 kilograms
- Height (h) = 1.5 meters
- Acceleration due to gravity (g) ≈ 9.8 m/s² (assuming Earth's surface)

We can calculate the force exerted to lift the weight using Newton's second law:

[ \text{Force} = \text{Mass} \times \text{Acceleration due to gravity} ]

[ \text{Force} = 40 \times 9.8 ]

Now, calculate the work done:

[ \text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta) ]

[ \text{Work} = (40 \times 9.8) \times 1.5 \times 1 ]

[ \text{Work} = 588 \text{ joules} ]

Therefore, the work done in lifting a 40-kilogram weight to a height of 1.5 meters is 588 joules.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- What is the general solution of the differential equation # x^2y'' -xy'-3y=0 #?
- What is the average value of a function #y=7 sin x# on the interval #[0,pi]#?
- Solve the differential equation #2xlnx dy/dx + y = 0#?
- How do you find the volume bounded by #y=x^2#, #x=y^2# revolved about the x=-1?
- What is the general solution of the differential equation? # z'''-5z''+25z'-125z=1000 #

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7