Answer:
293.7 degrees
Explanation:
A = - 8 sin (37) i + 8 cos (37) j
A + B = -12 j
B = a i + b j, where a and b represent constants to solve for.
A + B = (a - 8 sin (37) ) i + ( 8cos(37) + b ) j
- 12 j = (a - 8 sin (37) ) i + ( 8cos(37) + b ) j
By comparing the coefficients of i and j:
a = 8 sin (37) = 4.81452 m
b = -12 - 8cos(37) = -18.38908
Thus,
B = 4.81452 i - 18.38908 j..... 4th quadrant
<pTherefore,
cos(Q) = 4.81452 / 12
Q = 66.346 degrees
360 - Q gives us 293.65 degrees from the + x-axis in a counterclockwise direction.
Answer:
(a) 16.777 miles
(b) Yes, he exceeded the speed limit
Explanation:
(a)
We need to perform the necessary calculations to convert kilometers to miles:

Thus, the distance of the trip in miles is:

(b)
Next, we will compute the man's speed during the journey:

Before that, we must convert minutes to hours:

The resulting speed is:

Consequently:

Thus, it can be concluded that the driver was speeding
<span>Conclusion: The door's weight results in a CCW torque which can be calculated as
Tccw = 145 N*3.13 m / 2.
You require a CW torque that balances this
Tcw = F*2.5 m*sin20</span>
<span>At ground level, the gravitational potential energy of any object is zero. To calculate potential energy, you multiply the object's height in meters by its mass in kilograms and the acceleration due to gravity to arrive at Joules.
Any object at ground level will have a potential energy totaling zero newtons since anything times zero equals zero. A mass of 54 kg situated 4 meters above ground possesses a gravitational potential energy of 2116.8 Joules.</span>