Answer:
4.18 kg.
Step-by-step explanation:
Work done: Work is said to be done when ever a force move a body through a given distance. The S.I unit of work done is Joules (J)
Mathematically, work done is expressed as
W' = F×d.................... Equation 1
Where W' = work done, F = force , d = distance.
making F the subject of the equation,
F = W'/d............................. Equation 2
Note: The force need to lift the small dog n a basket = combined weight of the dog ans the basket.
Therefore,
W = F
Where W = combined weight of the dog and the basket.
Also
W = Mg
M = W/g............................. Equation 3
Where M = combined mass of the dog and the basket, g = acceleration due to gravity.
Given: W' = 201 J, d = 4.90 m.
Substitute into equation 2
F = 201/4.9
F = 41.02 N.
Since F = W = 41.02 N and g = 9.81 m/s²
Substitute these values into equation 3
M = 41.02/9.81
M = 4.18 kg.
Thus the combined mass of the dog and the basket = 4.18 kg.