Answer:
Option d is correct.
The magnitude of the resultant force upon the piling = 2930 lbs.
Explanation:
Resultant of a group of forces = vector sum of the forces.
Force 1 = (-1250î) lbs
Force 2 = (2650j) lbs
Resultant = (-1250î + 2650j) lbs
The magnitude of the resultant = √[(-1250)² + (2650)²] = 2930 lbs.
Or in visualization method, the two forces presented form a right angled triangle with the resultant of the two forces.
Hence, using Pythagoras theorem,
F₁² + F₂² = R²
(1250)² + (2650)² = R²
R = √[(1250)² + (2650)²] = 2930 lbs.
Answer:
256.3 N
Explanation:
Throughout the motion of the mass in the circular motion, the resultant of the Tension in the string and the weight of the body gives the net force (centripetal force) that is responsible for the acceleration of the mass in a circular motion.
At the top of the vertical circle of the motion of the mass, the tension is directed downwards towards the centre of the circle and the weight also is directed downwards towards the earth.
Net force = ma = T + W
ma = T + mg
But a = (v²/r) for circular motion,
(mv²)/r = T + mg
m = 2.31 kg
v = 7.77 m/s
r = 0.500 m
g = acceleration due to gravity = 9.8 m/s²
(2.31×7.77²)/0.5 = T + (2.31×9.8)
278.923 = T + 22.638
T = 278.923 - 22.638
T = 256.285 N = 256.3 N
Hope this Helps!!!
We need to be able to the see the choices to help you answer the question:)
Momentum is expressed as the product of mass and the velocity of an object. It refers to the quantity of motion that an object possess. From the choices listed above the correct answer is option D, <span>9.5 x 10^2 kilograms*meters/seconds.
Momentum = m(v)
</span><span>Momentum = 75 kg (45 x 1000 / 3600 ) m/s
</span><span>Momentum = 950 kg m / s</span>
