Answer:
d = 11.1 m
Explanation:
Since the inclined plane is frictionless, this is just a simple application of the conservation law of energy:
![\frac{1}{2} m {v}^{2} = mgh](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20m%20%7Bv%7D%5E%7B2%7D%20%20%3D%20mgh)
Let d be the displacement along the inclined plane. Note that the height h in terms of d and the angle is as follows:
![\sin(15) = \frac{h}{d} \\ or \: h = d \sin(15)](https://tex.z-dn.net/?f=%20%5Csin%2815%29%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bd%7D%20%20%5C%5C%20or%20%5C%3A%20h%20%3D%20d%20%5Csin%2815%29%20)
Plugging this into the energy conservation equation and cancelling m, we get
![{v}^{2} = 2gd \sin(15)](https://tex.z-dn.net/?f=%20%7Bv%7D%5E%7B2%7D%20%20%3D%202gd%20%5Csin%2815%29)
Solving for d,
![d = \frac{ {v}^{2} }{2g \sin(15) } = \frac{ {(7.5 \: \frac{m}{s}) }^{2} }{2(9.8 \: \frac{m}{ {s}^{2} })(0.259)} \\ = 11.1 \: m](https://tex.z-dn.net/?f=d%20%3D%20%20%5Cfrac%7B%20%7Bv%7D%5E%7B2%7D%20%7D%7B2g%20%5Csin%2815%29%20%7D%20%20%3D%20%20%5Cfrac%7B%20%7B%287.5%20%5C%3A%20%20%5Cfrac%7Bm%7D%7Bs%7D%29%20%7D%5E%7B2%7D%20%7D%7B2%289.8%20%5C%3A%20%20%5Cfrac%7Bm%7D%7B%20%7Bs%7D%5E%7B2%7D%20%7D%29%280.259%29%7D%20%20%20%5C%5C%20%3D%2011.1%20%5C%3A%20m)
When object travels with uniform velocity, no force acts on it. hence , yes.
Answer:
The weight lifter would not get past this sticking point.
Explanation:
Generally torque applied on the weight is mathematically represented as
T = F z
To obtain Elbow torque we substitute 4000 N for F (the force ) and 2cm
for z the perpendicular distance
So Elbow Torque is ![T_e= 4000 * 0.02](https://tex.z-dn.net/?f=T_e%3D%204000%20%2A%200.02)
![= 80Nm](https://tex.z-dn.net/?f=%3D%2080Nm)
To obtain the torque required we substitute 300 N for F and 30cm ![=\frac{30}{100} = 0.3 m](https://tex.z-dn.net/?f=%3D%5Cfrac%7B30%7D%7B100%7D%20%3D%200.3%20m)
So the Required Torque is ![T_R = 300 *0.3](https://tex.z-dn.net/?f=T_R%20%3D%20300%20%2A0.3)
![=90Nm](https://tex.z-dn.net/?f=%3D90Nm)
Now since
it mean that the weight lifter would not get past this sticking point
Answer:
so the answer is this because the answer is that
Explanation:
and the reason why the answer is this and that is because the answer is that
Explanation:
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