A tow truck pulls a car 5.00km along a horizontal roadway using a cable having tension of 850N (a) how much work does the cable do on the car? if it pulls 35.0° above the horizontal ? (b) How much work does the cable do on the tow truck in both cases(a)? (C) how much work does the gravity do on the car in part (a)?
Well, let's tackle these questions one by one:
(a) How much work does the cable do on the car?
Well, work done is equal to force multiplied by displacement. In this case, the cable exerts a tension of 850N on the car as it pulls it 5.00km. However, we need to take into account the angle as well. Since the angle is not given, let's assume it's 0 degrees (i.e., horizontal). Therefore, the work done by the cable on the car would be zero. Why? Because the angle is 0, and when the angle is 0, the cosine of the angle is 1. And if you multiply any force by 1, you get the same force. So, in this case, no work is done.
(b) How much work does the cable do on the tow truck in part (a)?
Since no work is done on the car, it means no work is done on the tow truck as well. The cable might be exerting a tension, but if no displacement occurs, no work is done. So, the answer is zero.
(c) How much work does gravity do on the car in part (a)?
Gravity is always there, trying to bring us down. But in this case, since the car is being pulled horizontally, gravity is not doing any work on the car. Gravity only does work when there is a displacement in the direction of its force, which is vertically downwards. So, again, the answer is zero.
Well, hope that clears things up! If you have any more questions, feel free to ask!
A) To determine the work done by the cable on the car, we'll use the formula:
Work = Force x Distance x cos(angle)
Given:
Force = 850N
Distance = 5.00km = 5000m
Angle = 35.0°
First, we need to convert the distance to meters:
Distance = 5000m
Next, we calculate the work done by the cable on the car:
Work = 850N x 5000m x cos(35.0°)
Using a calculator, we find:
Work ≈ 850N x 5000m x 0.819
Work ≈ 3,453,500 Joules
Therefore, the cable does approximately 3,453,500 Joules of work on the car.
B) The work done by the cable on the tow truck remains the same as in part A, which is 3,453,500 Joules.
C) To calculate the work done by gravity on the car, we need to know the vertical component of the force acting on the car. Assuming the car is on a flat road and no vertical forces are present (except gravity), the vertical component of the force is zero.
Therefore, the work done by gravity on the car is zero.
To find the work done by the cable on the car, we can use the formula:
Work = Force * Distance * cos(theta)
where
- Force is the tension in the cable,
- Distance is the displacement of the car, and
- theta is the angle between the direction of the force and the direction of displacement.
(a) Finding the work done by the cable on the car:
Given:
Force (F) = 850 N
Distance (d) = 5.00 km = 5000 m
Angle (theta) = 35.0°
First, we need to convert the distance from kilometers to meters:
Distance (d) = 5000 m
Next, we need to find the component of the force in the direction of the displacement. To do this, we'll find the horizontal component of the force:
Force (F_horizontal) = Force (F) * cos(theta)
Calculating the value:
F_horizontal = 850 N * cos(35.0°)
Now, we can substitute the values into the work formula:
Work = F_horizontal * d
Calculating the work:
Work = (850 N * cos(35.0°)) * 5000 m
Solving this expression will give us the answer to part (a).
(b) Finding the work done by the cable on the tow truck:
The work done by the cable on the tow truck is equal to the negative of the work done on the car. This is because the cable exerts a force on the car in the forward direction, but exerts an equal and opposite force on the tow truck in the backward direction.
Therefore, the work done by the cable on the tow truck in both cases will be the negative of the work done on the car.
(c) Finding the work done by gravity on the car in part (a):
The work done by gravity can be calculated using the formula:
Work = Force * Distance * cos(theta)
In this case, the force due to gravity is acting vertically downwards, while the displacement is horizontal. So the angle between the force and displacement is 90°. Therefore, cos(90°) = 0.
Since cos(90°) = 0, the work done by gravity on the car will be zero.
By following these steps and substituting the given values into the formulas, you can find the answers to all the parts of the question.
work= force*distance*cosTheta where theta is the angle between the force and the movement.
a) work= 850*5000*cos35deg
b) same angle, same tension, same distance
c) zero, there is no vertical distance moved