Answers
Answer:
The add mass = 5.465 kg
Explanation:
Note: Since the spring is the same, the length and Tension are constant.
f ∝ √(1/m)........................ Equation 1 (length and Tension are constant.)
Where f = frequency, m = mass of the spring.
But f = 1/T ..................... Equation 2
Substituting Equation 2 into equation 1.
1/T ∝ √(1/m)
Therefore,
T ∝ √(m)
Therefore,
T₁/√m₁ = k
where k = Constant of proportionality.
T₁/√m₁ = T₂/√m₂ ........................ Equation 3
making m₂ the subject of the equation
m₂ = T₂²(m₁)/T₁²........................... Equation 4
Where T₁ = initial, m₁ = initial mass, T₂ = final period, m₂ = final mass.
Given: T₁ = 1.18 s m₁ = 0.50 kg, T₂ = 2.07 s.
Substituting into equation 4
m₂ = (2.07)²(0.5)/(1.18)²
m₂ = 4.285(1.392)
m₂ = 5.965 kg.
Added mass = m₂ - m₁
Added mass = 5.965 - 0.5
Added mass = 5.465 kg.
Thus the add mass = 5.465 kg
Related Questions
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With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 41 m
5. The order is to give 600 mg of Ampicillin IM q8h. The directions for dilution on the 2 gm vial reads: Reconstitute with 4.8 mL of sterile water to obtain a concentration of 400 mg per mL. How many mL will you administer per dose?
Answers
Final answer:
The problem discusses the change in acceleration when a passenger is added to a car. It requires understanding of Newton's second law of motion, force equals mass times acceleration, and then recalculating the acceleration with the passenger added to the total mass.
Explanation:
This problem pertains to Newton's second law of motion, stating that the force applied on an object equals its mass times its acceleration (F = ma). Given that the initial acceleration of the Lamborghini Huracan with a driver is 0.80g or 0.80*9.80 m/s², we can calculate the force applied by the car. By multiplying the car's mass (1510 kg) with its acceleration, we will find the force.
Οnce we have the force, we can calculate the new acceleration if the 80 kg passenger rode along. Given that the force is constant, we determine the car's new acceleration by dividing this force with the new total mass (car mass + passenger's mass). So the question ultimately requires an application of the concepts of force, mass, and acceleration.
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Final answer:
The new acceleration of the Lamborghini Huracan with an added passenger can be calculated by finding the initial force using the car's mass and acceleration, and then using this force with the increased mass (original mass + passenger's mass) to find the new acceleration. The new acceleration will be less than the initial acceleration due to the increased mass.
Explanation:
To determine the new acceleration of the Lamborghini Huracan with an added passenger, we first calculate the initial force acting on the car. This can be done by using Newton's second law which states that Force = mass * acceleration. Initially, the acceleration is 0.80g (where g is acceleration due to gravity = 9.81 m/s²), and the mass is 1510 kg (including the driver). Therefore, the initial force = 1510 kg * 0.8 * 9.81 m/s².
However, when an 80-kg passenger rides along, the total mass becomes 1510 kg + 80 kg = 1590 kg. To find the new acceleration, we keep the force constant (as it is not affected by the introduction of the passenger) and rearrange the formula F = m*a as a = F/m. Use the increased mass to find the new acceleration. Please note that the new acceleration will be less than the initial acceleration due to increased mass.
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b) What is the direction of travel of the ball 1.00 s after it is released, as measured relative to the horizontal by observer 2?
Answers
a) 10.5 m/s
While for observer 1, in motion with the car, the ball falls down straight vertically, according to observer 2, which is at rest, the ball is also moving with a horizontal speed of:
As the ball falls down, it also gains speed along the vertical direction (due to the effect of gravity). The vertical speed is given by
where
is the initial vertical speed
g = 9.8 m/s^2 is the acceleration of gravity
t is the time
Therefore, after t = 1.00 s, the vertical speed is
And so the speed of the ball, as observed by observer 2 at rest, is given by the resultant of the horizontal and vertical speed:
b)
As we discussed in previous part, according to observer 2 the ball is travelling both horizontally and vertically.
The direction of travel of the ball, according to observer 2, is given by
We have to understand in which direction is this angle measured. In fact, the car is moving forward, so has forward direction (we can say it is positive if we take forward as positive direction).
Also, the ball is moving downward, so is negative (assuming upward is the positive direction). This means that the direction of the ball is forward-downward, so the angle above is measured as angle below the positive horizontal direction:
What is the normal force exerted by the surface on the bottom block? (Use the following as necessary: m and g as necessary.)
Answers
(a) The normal force exerted by the surface on the bottom block is N1 = 2mg.
Given that,
- A block m1 rests on a surface.
- A second block m2 sits on top of the first block.
- A horizontal force F applied to the bottom block pulls both blocks at constant velocity. Here m1 = m2 = m.
Based on the above information, we can say that the N1 is 2mg.
Learn more: brainly.com/question/17429689
Answer:
N = 2mg
Explanation:
Assuming the surface is horizontal
The surface must provide enough normal force to prevent the masses from accelerating in the vertical direction.
Answers
Answer:
1kg
Explanation:
this box is the smallest and weighs the least. Hope this helps :]
Answers
Answer:
What displacement must the physics professor give the car
= 12.91 METERS
Explanation:
Check the attached file for explanation
infrared waves
ocean waves
radio waves
untraviolet waves
Answers
Since electromagnetic waves do not require a medium for their transmission, the electromagnetic waves are radio waves, ultraviolet waves and infrared waves.
What are electromagnetic waves?
Electromagnetic waves or radiations are waves which occur as a result of the interaction between the electric and magnetic fields.
Electromagnetic waves do not require a material medium for their transmission and as such can travel through a vacuum.
Some examples of electromagnetic waves are radio waves, ultraviolet waves, microwaves, infrared waves etc.
Therefore, the electromagnetic waves are radio waves, ultraviolet waves and infrared waves.
Learn more about electromagnetic waves at: brainly.com/question/25847009
Radio waves
Ultraviolet waves
And Infrared waves
Hope i helped
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