The acceleration would be 2.5 m/sec^2
A= acceleration
F= force
M= mass
A = f/m
125N/50kg=2.5 m/s^2
By applying Newton's second law of motion;
ma = mg - T
Where,
m = mass; a = downward accelerations (+ve value) or upward acceleration (-ve value); g = gravitational acceleration; T = tension.
For the current case, the velocity is constant therefore,
a = 0
Then,
0 = mg - T
T = mg = 115*9.81 = 1128.15 N
Tension in the cable is 1128.15 N.
Hello!
Everything you've done so far seems to be correct. However, you need to get rid of the sin. To do this, use s
.
This is known as the inverse of sin, which is where you go from a fraction to the actual angle itself.
When you run
through a calculator, you get about 11.537 degrees, or θ = 11.537.
To verify this, all you need to do is run sin (11.537), and the calculator returns 0.2, which is what we're looking for.
Hope this helps!