a body moves a distance of attenuators along 10 m along straight line under the the action of a force of 5 Newton. the work done in 25 joules, what is the angle that the force make with the direction of the body?
Answers
Answered by
0
Explanation:
A
0°
B
30°
C
60°
D
90°
Solution
The correct option is D
60°
W
=
F
s
c
o
s
θ
⇒
c
o
s
θ
=
W
F
s
=
25
50
=
1
2
⇒
θ
=
c
o
s
−
1
(
1
2
)
⇒
θ
=
60
∘
Answered by
1
Answer:
The angle that the force makes with the direction of the body is 60°.
Explanation:
The distance moved by the body, S = 10 m
The force acting on the body, F = 5 N
The work done on the body, W = 25 J
The equation to find work done can be calculated using the formula,
W = FS Cosθ
Where θ is the angle formed by the force vector and the direction of motion of the body. So we need to find the value of θ.
Cosθ = W / FS
Cosθ = 25 / (5 × 10)
Cosθ = 25 / 50
Cosθ = 1/2
∴ θ = Cos⁻¹ (1/2)
θ = 60°
Similar questions