Answer:
Option d)
Solution:
As per the question:
Work done by farm hand,
Force exerted, F' = 310 N
Angle,
Now,
The component of force acting horizontally is F'cos
Also, we know that the work done is the dot or scalar product of force and the displacement in the direction of the force acting on an object.
Thus
d = 3.406 m = 3.4 m
Explanation:
(a) It is given that two-third of weight is over the drive wheels. So, mathematically, w = .
Hence, maximum force is expressed as follows.
Hence, the maximum acceleration is calculated as follows.
=
= 6.53
Hence, the maximum acceleration of the Porsche on a concrete surface where μs = 1 is 6.53 .
(b) Since, 30% of the power is lost in the drive train. So, the new power is 70% of .
That is, new power =
Now, the expression for power in terms of force and velocity is as follows.
P =
Therefore, speed of the Porsche at maximum power output is as follows.
=
= 11.568 m/s
= 11.57 m/s
Therefore, speed of the Porsche at maximum power output is 11.57 m/s.
(c) The time taken will be calculated as follows.
time =
=
= 1.77 s
Therefore, the Porsche takes 1.77 sec until it reaches the maximum power output.