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IgorC [24]
4 years ago
5

To hoist himself into a tree, a 72.0-kg man ties one end of a nylon rope around his waist and throws the other end over a branch

of the tree. he then pulls downward on the free end of the rope with a force of 371 n. neglect any friction between the rope and the branch, and determine the manâs upward acceleration. use g =9.80 m/sec2.
Physics
1 answer:
taurus [48]4 years ago
4 0
<span>0.506 m/s^2 Given the arrangement of rope and the man, he's effectively suspended by a rope from a frictionless pulley. So he's pulling the rope with a force of 371 n causing him to be pulled upwards by his arms. Additionally, the rope goes up to the pulley and back down to the man causing an additional 371 n of force pulling him upwards. So the total force being used to lift the man is 742 n. Additionally, the man is being pulled downwards by gravity at 9.80 m/s^2. And since he masses 72.0 kg, the downward force in newtons is 72.0 kg * 9.80 m/s^2 = 705.6 n downward. So the total force being exerted on the man is 742 n - 705.6 n = 36.4 n To calculate his acceleration, simply divide the number of newtons applied by his mass. 36.4 kg m/s^2 / 72.0 kg = 0.505556 m/s^2 And round to 3 significant figures. 0.505556 m/s^2 = 0.506 m/s^2</span>
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5 0
4 years ago
Read 2 more answers
At some airports there are speed ramps to help passengers get from one place to another. A speed ramp is a moving conveyor belt
Harrizon [31]

Answer:

It will take you 30.8 s to travel the 120 m of the ramp.

Explanation:

Hi there!

The equation for the position of an object moving in a straight line is:

x = x0 + v * t

Where:

x = position at time t

x0 = initial position

v = velocity

t = time

In this case, we will consider the start of the ramp as the origin of our reference system so that x0 = 0.

Now, let´s calculate the speed of the person walking on the ground:

x = v * t

120 m = v * 72 s

v = 120 m / 72 s

v = 1.7 m/s

If you walk on the ramp with that speed, your total speed will be your walking speed plus the speed of the ramp because both are in the same direction. Then, using the equation for the position:

x = v * t

In this case, v = speed of the ramp + walking speed

v = 2.2 m/s + 1.7 m/s = 3.9 m/s

120 m = 3.9 m/s * t

t = 120 m / 3.9 m/s = 30.8 s

It will take you 30.8 s to travel the 120 m

8 0
4 years ago
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