We are given:
Mass of the Paint bucket (with paint) = 7000 grams
Mass of the paint bucket (without paint) = 500 grams
Volume of Paint in the Bucket = 5000 cm³
Mass of Paint in the Bucket:
To get the mass of the paint in the bucket, we will subtract the mass of the bucket from the mass of the paint bucket (with paint)
Mass of Paint = Mass of Paint bucket (with paint) - Mass of the paint Bucket (without paint)
Mass of Paint = 7000 - 500
Mass of Paint = 6500 grams
Density of the Paint:
We know that density = Mass / Volume
Density of Paint = Mass of Paint / Volume occupied by Paint
Density of Paint = 6500/5000
Density of Paint = 1.3 grams / cm³
Answer:
The answers to the questions are;
(a) The velocity of the truck right after the collision is 20.884 m/s
(b) The change in mechanical energy of the car truck system in the collision is -9076.4384 J
(c) The change in mechanical energy is due to energy consumed by the collision process.
Explanation:
(a) From the principle of conservation of linear momentum, we have
m₁·v₁+m₂·v₂ = m₁·v₃ + m₂·v₄
Where:
m₁ = Mass of the car = 1225.0 kg
m₂ = Mass of the truck = 9700.0 kg
v₁ = Initial velocity of the car = 25.000 m/s
v₂ = Initial velocity of the truck = 20.000 m/s
v₃ = Final velocity of the car right after collision = 18.000 m/s
v₄ = Final velocity of the truck right after collision
Therefore
1225.0 kg × 25.000 m/s + 9700.0 kg × 20.000 m/s = 1225.0 kg × 18.000 m/s + 9700.0 kg × v₄
That is 30625 kg·m/s + 194000 kg·m/s = 22050 kg·m/s + 9700.0 kg × v₄
Making v₄ the subject of the formula yields
v₄ = (202575 kg·m/s)÷9700.0 kg = 20.884 m/s
The velocity of the truck right after the collision to five significant figures = 20.884 m/s
(b) The change in mechanical energy of the car truck system in the collision can be found by
The change in kinetic energy of the car truck system
Change in kinetic energy, ΔK.E. = Sum of final kinetic energy - Sum of initial kinetic energy
That is ΔK.E. = ∑ Final K.E -∑ Initial K.E.
ΔK.E. =
= (·1225·18²+ ·9700·20.884²) - (·1225·25²+·9700·20²)
= 2313736.0616 kg·m²/s² - 2322812.5 kg·m²/s² = -9076.4384 kg·m²/s²
1 kg·m²/s² = 1 J ∴ -9076.4384 kg·m²/s² = -9076.4384 J
(c) The energy given off by way of the 9076.4384 J is energy transformed into other forms including
1) Frictional resistance between the tires and the road for the truck and car
2) Frictional resistance in the transmission system of the truck to increase its velocity
3) Sound energy, loud sound heard during the collision
4) Energy absorbed when the car and the truck outer frames are crushed
5) Heat energy in the form of raised temperatures at the collision points of the car and the truck.
6) Energy required to change the velocity of the car over a short distance.
Answer:
Δ KE = - 8.75 x 10⁻⁴ J
Explanation:
given,
mass of applesauce = 7 g = 0.007 Kg
initial velocity, u = 0.5 m/s
final velocity, v = 0 m/s
Decrease in kinetic energy = ?
initial kinetic energy
KE₁ = 8.75 x 10⁻⁴ J
final kinetic energy
KE₂ =0 J
Decrease in kinetic energy
Δ KE = KE₂ - KE₁
Δ KE = 0 - 8.75 x 10⁻⁴
Δ KE = - 8.75 x 10⁻⁴ J
decrease in kinetic energy of the applesauce is equal to 8.75 x 10⁻⁴ J
The decrease in kinetic energy of the applesauce, when it hits the wall and stops, is the initial kinetic energy of it. Using the formula of kinetic energy, the decrease is calculated to be 0.000875 Joules.
This question relates to the concept of kinetic energy in physics. Kinetic energy is calculated by the formula 0.5 * mass (kg) * velocity (m/s)^2. So the initial kinetic energy of the applesauce right after being thrown was 0.5 * 0.007 kg * (0.5 m/s)^2 = 0.000875 Joules.
When the applesauce hits the wall and stops, its velocity drops to 0. Thus, its kinetic energy also goes to 0 (because kinetic energy is proportional to the square of velocity).
Therefore, the decrease in kinetic energy is the same as the initial kinetic energy of the applesauce, which is 0.000875 Joules.
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Answer:
a)
b)
Explanation:
Given:
(a)
Using the equation of motion :
..............................(1)
where:
v=final velocity of the body
u=initial velocity of the body
here, since the body starts from rest state:
putting the values in eq. (1)
Now, the momentum of the body just before the jump onto the tyre will be:
Now using the conservation on momentum, the momentum just before climbing on the tyre will be equal to the momentum just after climbing on it.
(b)
Now, from the case of a swinging pendulum we know that the kinetic energy which is maximum at the vertical position of the pendulum gets completely converted into the potential energy at the maximum height.
So,
above the normal hanging position.
Answer:
Ohms law
Explanation:
Which states that the current flowing through any cross-section of the conductor is directly proportional to the potential differenceapplied across its end, provided physical conditions like temperature and pressure remain constant.
x = vi(cos )t
x = ayt
x = vxt (RIGHT ANSWER)
The formula for calculating the horizontal displacement of a horizontally launched projectile is
A projectile launched horizontally with a velocity v, at a height y ,travels a horizontal distance x, while falling through a distance y. The horizontal velocity of a projectile remains constant throughout its motion, in the absence of air resistance. The vertical component of the velocity is under the action of the gravitational force and hence it increases in magnitude as it falls through the height.
The horizontal displacement of the projectile is a uniform motion and it occurs at a constant speed v.
Thus, the horizontal displacement of the projectile is given by the expression.
Answer:
Explanation:
The maximum expected measurement error for a pressure gauge measuring 0-10 bar with an inaccuracy of 1% of full-scale reading is 0.1 bar. When the gauge measures 1 bar, the expected inaccuracy is 10%.
The inaccuracy mentioned here is related to the full-scale reading which means the error is calculated based on the top measurement value. The pressure gauge range is 0-10 bar, so the inaccuracy is one percent of this. (a) Thus, the maximum measurement error expected for this instrument is 1.0% of 10 bar i.e., 0.1 bar. (b) If the gauge is measuring a pressure of 1 bar, then the relative error expressed as a percentage would be the absolute error (0.1 bar) divided by the observed reading (1 bar) i.e., 10%. It means, when measuring 1 bar pressure, the expected measurement error is 10%. This is an example of how instrument inaccuracy is properly interpreted and employed when working with various measurements.
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