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cupoosta [38]
2 years ago
12

A uniform ladder of length l rests against a smooth, vertical wall. If the coefficient of static friction is 0.50, and the ladde

r makes a 53⁰ angle with respect to the horizontal, how far along the length of the ladder can a 56.0-kg person climb before the ladder begins to slip? The ladder is 7.5 m in length and has a mass of 21 kg.
Physics
1 answer:
Ronch [10]2 years ago
3 0

Answer:

X = 5.44 m

Explanation:

First we can calculate the normal force acting from the floor to the ladder.

W₁+W₂ = N  

W1 is the weigh of the ladder

W2 is the weigh of the  person

So we have:

m1g+m2g=N  

N=755.37 N

The friction force is:

F_{force}=\mu N=0.5\cdot 755.37=377.68 N

Now let's define the conservation of torque about the foot of the ladder:

\tau_{ledder}+\tau_{person=\tau_{reaction}}

m_{1}\cdot g\cdot X \cdot cos(53)+m_{2}\cdot g\cdot 3.75 \cdot cos(53)=F_{force}7.5sin(53)

Solving this equation for X, we have:

X = \frac{377.68\cdot 7.5\cdot sin(53)-21\cdot 9.81\cdot 3.75 \cdot cos(53)}{56\cdot 9.81\cdot cos(53)}

Finally, X = 5.44 m

Hope it helps!

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PLEASE HELP
hichkok12 [17]

The correct answer is 195.6 N

Explanation:

Different from the mass (total of matter) the weight is affected by gravity. Due to this, the weight changes according to the location of a body in the universe as gravity is not the same in all planets or celestial bodies. Moreover, this factor is measured in Newtons and it can be calculated using this simple formula W (Weight) = m (mass) x g (force of gravity). Now, leps calculate the weigh of someone whose mass is 120 kg and it is located on the moon:

F = 120 kg x 1.63 m/s2

F= 195.6 N

7 0
3 years ago
What does a physicist study?
MissTica

Answer:

A. Matter and energy

Explanation:

5 0
2 years ago
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7 0
2 years ago
Your shopping cart has a mass of 65 kilograms, In order to accelerate the shopping cart down an aisle at 0.3 m/sec2, what force
garri49 [273]
Remember Newton's second law: F=ma

to get the force in newtons, mass should be in kg and acceleration in m/s^2

conveniently, we don't need to convert units

we just need to multiply the two to get the force

65* 0.3 = 19.5 kg m/s^2 or N

if significant digit is an issue, the least number if sig figs is 1 so the answer would be 20 N
4 0
2 years ago
A projectile is fired with a velocity of 22 m/s at an angle of 25°. What is the vertical component of the velocity?
7nadin3 [17]

Answer:

Vertical component of velocity is 9.29 m/s

Explanation:

Given that,

Velocity of projection of a projectile, v = 22 m/s

It is fired at an angle of 22°

The horizontal component of velocity is v cosθ

The vertical component of velocity is v sinθ

So, vertical component is given by :

v_y=v\ sin(25)

v_y=22\ m/s\times\ sin(25)

v_y=9.29\ m/s

Hence, the vertical component of the velocity is 9.29 m/s

3 0
3 years ago
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