Answer:
Explanation:
To calculate the work done when lifting an object against gravity, you can use the formula:
Work
=
Force
×
Distance
×
cos
(
)
Work=Force×Distance×cos(θ)
Where:
Force (
F) is the force applied (in Newtons, N)
Distance (
d) is the distance moved in the direction of the force (in meters, m)
θ is the angle between the force and the direction of motion (in this case, the angle is 0 because the force is applied vertically upwards against gravity, so
cos
(
)
=
1
cos(θ)=1)
Given:
Force (
F) = 300 N
Distance (
d) = 1.5 m
Angle (
θ) = 0° (since the force is applied vertically)
Substituting the values into the formula:
Work
=
300
N
×
1.5
m
×
cos
(
0
°
)
Work=300N×1.5m×cos(0°)
Since
cos
(
0
°
)
=
1
cos(0°)=1, the formula simplifies to:
Work
=
300
N
×
1.5
m
×
1
Work=300N×1.5m×1
Work
=
450
N
⋅
m
Work=450N⋅m
Work
=
450
J
Work=450J
So, 450 Joules of work is done when lifting the dog 1.5 meters against gravity with a force of 300 Newtons.