Question

A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. All parts are 4 points each.

Answer 1

Complete Question

1 a A little girl pushes a 5.0 kg toy baby stroller at constant speed 7.0 m across the floor. She pushes on the handle with a force of 40 N at an angle of 30o with the horizontal. How much work is done by the girl on the wagon?

1b A farmhand pushes 20 ㎏ bale of hay 4m across the floor of the barn if she exerts a horizontal force of 60 N on the hay, how much work is done? (5 pts)

All parts are 4 points each

Answer:

1a

`W = 242.5 \ J`

1b

`W = 240 \ J`

Step-by-step explanation:

Considering question a

From the question we are told that

The mass of the toy baby stroller is
`m = 5.0 \ kg`

The distance covered is
`d = 7.0\ m`

The force the girl applies on the handle is
`F = 40 \ N`

The angle at which this force is applied is
`\theta = 30^o`

Generally the workdone is mathematically represented as

`W = F_x * d`

Here
`F_x` is the force along the horizontal axis , this is mathematically represented as

`F_x = F cos (\theta )`

=>
`F_x = 40 * cos(30 )`

=>
`F_x = 34.64 \ N`

So

`W = 34.64 * 7`

=>
`W = 242.5 \ J`

Considering question b

From the question we are told that

The mass of the toy baby stroller is
`m = 20 \ kg`

The distance covered is
`d = 4 \ m`

The force the girl applies on the handle is
`F = 60 \ N`

Generally the workdone is mathematically represented as

`W = F * d`

=>
`W = 60 * 4`

=>
`W = 240 \ J`