V0=0 S1=40 см S2=20 см mгр= 2 кг mт—?

To find the value of mт (mass of the object), we can use the formula of work done:

Work (W) = Force (F) x Distance (d)

In this case, the work done by gravity on the object is equal to the change in gravitational potential energy.

Given: Initial gravitational potential energy (U₀) = 0 Final gravitational potential energy (U₁) = mгр * g * S₁ (Where g is the acceleration due to gravity) Change in gravitational potential energy (ΔU) = U₁ - U₀ = mгр * g * S₁

Since the object is moving vertically upwards, the work done by gravity is negative, given by: W = -ΔU = -mгр * g * S₁

Now we can rearrange the formula to solve for mт: mт = -W / (g * S₂)

Substituting the given values: mгр = 2 kg S₁ = 40 cm = 0.40 m S₂ = 20 cm = 0.20 m g = 9.8 m/s²

W = -mгр * g * S₁ = -2 kg * 9.8 m/s² * 0.40 m = -7.84 J (Joules)

Plugging these values in: mт = -(-7.84 J) / (9.8 m/s² * 0.20 m) mт ≈ 7.99 kg

Therefore, the mass of the object (mт) is approximately 7.99 kg.