A 500 kg empty elevator moves with a downwards acceleration of 2 m/s2. What is the tension force of the cable on the elevator?
Solution 1
The tension force of the cable on the elevator is 4000N.
From the question,
Mass of an elevator(m) = 500kg
It is accelerating downhill at a rate of [tex]2\frac{m}{s^{2} }[/tex]. It is necessary to determine the tension force of the cable on the elevator. We know that the net force on the elevator when it is traveling downhill is provided by:
F = m(g - a)
Here, g is the acceleration due to gravity
g = [tex]9.8\frac{m}{s^{2} }[/tex]
g ≅ 10[tex]\frac{m}{s^{2} }[/tex]
F = 500 × (10 - 2)
F = 500 × 8
F = 4000N
Therefore, the tension force of the cable on the elevator is 4000N.
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📚 Related Questions
The box accelerates down the incline at 2.4m/s^2.
How do you find the acceleration of an incline box?
A mass m particle will slide down a smooth inclined plane if it is released onto it with a friction force F=0. We resolve in the direction of motion to determine the particle's acceleration as it slides. F = ma, mg cos(90) = ma, gg cos(90) = a, gg sin() = a.
By using zigmaFx = max, we will determine the acceleration.
However, we must first determine the friction force Ff.
Because cos 30 degree = 0.866 and Fy = ma y = 0 result in FN - 0.87mg = 0, we may calculate FN as (0.87)(20Kg)(9.81 m/s2) = 171N.
From Ff = mue FN = 0.30)(171 N)= 51N, we can now calculate Ff.
We get Ff - 0.50mg = ma x 51N - (0.50)(20)(9.81)N = (20kg)(ax) from the expression zigmaFx = max, where ax = -2.35 m/s2.
At 2.4 m/s2, the box quickens its descent of the hill.
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The momentum after the collision is 25500 kg⋅m/s. Each object's momentum may change, but the overall momentum must not change.
What is Momentum ?
In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has a magnitude and a direction, making it a vector quantity.
The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Regardless of the frame of reference, momentum is a conserved quantity in any inertial frame, which means that if an enclosed system is not subject to outside influences, its total linear momentum remains constant.
The formula for calculating momentum is expressed as
momentum = mass x velocity
According to the law of conservation of momentum, initial momentum = final momentum
The formula for initial momentum is
m1u1 + m2u2
where
m1 = mass of first car
u1 = initial velocity of first car
m2 = mass of second car
u2 = initial velocity of second car
From the information given,
m1 = 900
u1 = 0 because it is at rest
m2 = 1700
u2 = 15.0 m/s
Initial momentum = 900 x 0 + 1700 x 15.0 = 25500
Momentum after the collision is 25500 kg⋅m/s
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I don't see a picture attached to your question. Without one, I don't think I will be able to determine what type of orbit is displayed.
The distance of your friend from you is 15.7 m.
What is the time of motion of ball?
The time take for the ball to travel to you friend is calculated by applying the principle of relative velocity as shown below.
( Vt - Vb ) t = d
where;
- Vt is the velocity of the train
- Vb is the velocity of the ball
- t is the time of motion of the ball
- d is the distance travelled by the ball
( Vt - Vb ) t = d
(75 - 5) t = 220
70t = 220
t = 220 / 70
t = 3.14 s
The distance of your friend from you is calculated as;
d1 = 5 m/s x 3.14 s
d1 = 15.7 m
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The mass of the star would be 9.97 x 10³⁵ Kg.
What is Star? What is centripetal force?
- Stars are huge celestial bodies made mostly of hydrogen and helium that produce light and heat from the churning nuclear forges inside their cores.
- We can write the relation absolute magnitude [M] and apparent magnitude [m] as follows : M = m + 5(log₁₀p + 1).
- The centripetal force is the force needed to make a body move in circular motion. It is given by : F{C} = mv²/r
We have a star was observed to have a planet orbiting it at a distance of 1.12 × 10⁸ km. The orbital period of the planet is 329 days.
Let the mass of star be [M] and that of planet be [m]. Since, the planet revolves around the star, we can write -
F{Centripetal} = F{Gravitation}
mv²/r = GMm/r²
v² = GM/r
(rω)² = GM/r
r²ω² = GM/r
ω² = GM/r³
(2π/T)² = GM/r³
M = (2π/T)² (r³)/G
M = 46.8 x (r³)/G
M = {46.8 x (1.12)³ x (10⁸)³}/{(6.6) x 10 ⁻¹¹}
M = (65.7/6.6) x (10²⁴/ 10 ⁻¹¹)
M = 9.97 x 10³⁵ Kg
Therefore, the mass of the star would be 9.97 x 10³⁵ Kg.
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Answer:
how was the third law of motion discovered
Explanation:
Isaac Newton discovered this law by exerting pressure on one object against another. The first object's force is felt and equally replicated by the second body. Thus, Isaac Newton proved that it's impossible to exert pressure on a single object without a similar reaction from the second object.
Isaac Newton discovered this law by exerting pressure on one object against another. The first object's force is felt and equally replicated by the second body. Thus, Isaac Newton proved that it's impossible to exert pressure on a single object without a similar reaction from the second object.
Responses
When a high- and a low-pressure air mass are far apart, air moves quickly from high to low pressure.
When a high- and a low-pressure air mass are far apart, air moves slowly from high to low pressure.
When a high- and a low-pressure air mass are close together, air moves slowly from high to low pressure.
When a high- and a low-pressure air mass are far apart, air moves quickly from low to high pressure.
The best statement that best describes the relationship between changes in air pressure and wind speeds is when a high- and a low-pressure air mass are far apart, air moves quickly from high to low pressure.
The greater the increase or decrease in pressure, the faster the winds move. When a high- and a low-pressure air mass are far apart, air moves slowly from high to low pressure. When a high- and a low-pressure air mass are close, the air moves slowly from a point of high to low pressure. When a high- and a low-pressure air are far apart, the air moves rapidly from a region of high pressure to a region of low pressure.
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2.) the rate of decrease is larger the higher the latitude.
3.) 9 hours, 46 minutes
4.) Key West, FL 78.1°F
5.) Russian city of Yakutsk
Last one don’t know how to answer sorry
- (Note): Acceleration = Force * Mass
____________________________________________________
We are given the following:
- [tex]Mass=13.29kg[/tex]
- [tex]Force=14.35N[/tex]
- [tex]Question:[/tex] What is the acceleration of the object?
Given the formula for finding acceleration, we fill in the blanks.
[tex]A=14.35*13.29[/tex]
[tex]A=190.7115=190.7[/tex] ← Acceleration/Final Solution
_____________________________________________________
Hope this helps!
Answer: B. Muscular fitness training increases muscle mass, which increases your metabolism
