Homework Statement
A 75 kg student runs at 5 m/s, grabs a rope, and swings out over a lake. He releases the rope when his velocity is zero. a) What is the angle when he releases the rope? b) What is the tension in the rope just before he releases it? c) What is the maximum tension in the rope...
Newton's third law is about action and reaction, isn't it?
this is what i did for b)
W = Fdsin\theta = 80 * 9.8 * 1.1 = 862.4 Joule
However, this is wrong because my answer is different from the given answers.
but how do I find the velocity to maintain 0.25 hp?
661950 = 35v^{2}
v^{2} = 18912
v = 137.524 m/s
this is not what I should get. I need to get 2.6 m/s.
Homework Statement
71. A paratrooper fell 370 m after jumping from an aircraft without his parachute opening. He landed in a snowbank, creating a crater 1.1 m deep. Assuming the paratrooper's mass was 80 kg and his terminal velocity was 30 m/s, estimate : a) the work done by the snow in...
Homework Statement
67. How fast must a cyclist climb a 6 degrees hill to maintain a power output of 0.25 horse power? Neglect work done by friction and assume the mass of cyclist plus bicycle is 70 kg.
A. 2.6 m/s
Homework Equations
W = mgh = Fdsin\theta= \frac{1}{2}mv^{2}The Attempt...
Homework Statement
The speed of waving in shallow water depend only on the acceleration of gravity g, a quantity with dimensions L/T^2, and on the water depth h.
Which of the following formulas for the wave speed v could be correct?
a) v=1/2gh^2 b)v=√gh
Homework Equations
L =...
I still don't understand what to do for number 9. I drew Free Body Diagram, and I realized that there are three kinds of forces: mg(down), ma(up), and T(up; along with ma(up)). I found those three forces, but I don't know what to do next.
Homework Statement
9. A fisherman yanks a fish out of the water with an acceleration of 4.5 m/s^2 using very light fishing line that has a "test" value of 22N. The fisherman unfortunately loses the fish as the line snaps. What can you say about the mass of the fish?
A. m > 1.5 kg...
Homework Statement
A 0.030-kg bullet is fired vertically at 200 m/s into a 0.15-kg baseball that is initially at rest. How high does the combined bullet and baseball rise after the collision, assuming the bullet embeds itself in the ball?
Homework Equations
m1v1 + m2v2 = (m1 + m2) v'...
Homework Statement
A train approaches an observer at 35.0 m/s and passes a person stading on the side of the track. The whistile is sounding at 2.5 kHz. What frequency will the person hear as the train approaches? When it recedes?
Homework Equations
f' = f \frac{v \pm vo}{v \mp vs}
The...
Homework Statement
An astronaut lands on an unknown planet with a radius of 3560 m. When she jumps upward with an initial speed of 3.00m/s she rises to a height of 0.50 m. What is the mass of the planet?
Homework Equations
vf2 = v02 + 2a\DeltaX
The Attempt at a Solution
In...