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Alex17521 [72]
3 years ago
7

A 300-kg truck moving rightward with a speed of 5 km/hr collides head on with a 1000kg car moving leftward with a speed of 100 k

m/hr. The two vehicles stick together and move with the same velocity after the collision determine the post - collision speed of the car and truck
Physics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer:

The final velocity of the vehicles will be -75km per hour (leftwards).

Explanation:

Let us call m_1, v_1 mass and velocity of the truck , m_2, v_2 mass and velocity of the car, and v_f the final velocity of the vehicles.

The law of conservation of momentum states that

m_1v_1-m_2v_2= v_f(m_1+m_2)

solving for v_f we get:

v_f = \dfrac{m_1v_1-m_2v_2}{m_1+m_2}

putting in numerical values

m_1 =300 kg \\v_1 =5km/hr = 1.39m/s\\m_2 = 1000kg\\v_2 = 100km/hr = 27.78m/s

v_f = \dfrac{300*(1.39)-1000*(27.78)}{300+1000}

\boxed{v_f = -21.0m/s } (<em>the negative sign indicates that the vehicles are moving in the leftward direction)</em>

or -75.8 km per hour.<em> </em>

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3 years ago
A playground merry-go-round with a radius of 2.0 m and a rotational inertia of 100 kg m2 is rotating at 3.0 rad/s. A child with
vagabundo [1.1K]

Answer:

Explanation:

Conservation of angular momentum

The MGR originally has momentum

L = 100(3.0) = 300 kg•m²/s²

The child can be thought of as a point mass with I = mr²

When she jumps onto the rim of the MGR

300 = (100 + 22(2.0²)ω

ω = 300 / 188 = 1.5957... 1.6 rad/s

As she moves toward the center of the MGR, her moment of inertia goes to zero as her radius goes to zero.

The angular velocity when she reaches the center will again be 3.0 rad/s

8 0
3 years ago
At which temperature do the lattice and conduction electron contributions to the specific heat of Copper become equal.
sp2606 [1]

Answer:

At 3.86K

Explanation:

The following data are obtained from a straight line graph of C/T plotted against T2, where C is the measured heat capacity and T is the temperature:

gradient = 0.0469 mJ mol−1 K−4 vertical intercept = 0.7 mJ mol−1 K−2

Since the graph of C/T against T2 is a straight line, the are related by the straight line equation: C /T =γ+AT². Multiplying by T, we get C =γT +AT³ The electronic contribution is linear in T, so it would be given by the first term: Ce =γT. The lattice (phonon) contribution is proportional to T³, so it would be the second term: Cph =AT³. When they become equal, we can solve these 2 equations for T. This gives: T = √γ A .

We can find γ and A from the graph. Returning to the straight line equation C /T =γ+AT². we can see that γ would be the vertical intercept, and A would be the gradient. These 2 values are given. Substituting, we f ind: T =

√0.7/ 0.0469 = 3.86K.

4 0
3 years ago
What does the x-axis on a distance v time graph represent?
ivolga24 [154]

Answer:

it represents the time

6 0
3 years ago
It is 5.0 km from your home to the physics lab. As part of your physical fitness program, you could run that distance at 10 km/h
Ostrovityanka [42]

Answer:

Walking burns up more energy,1740000J

Explanation:

Given that the displacement is 5.0km, and running at 10km/h and uses, walking at 3km/hr and uses 290watts:

Energy consumption for running is calculated as:

700watts=700j/s,d=5000m,v=\frac{25}{9}m/s\\\\\therefore E_c=\frac{d}{v}\times Energy \ usage\\\\=\frac{5000}{\frac{25}{9}}\times 700j/s\\\\=1260000J

Energy consumption for walking is calculated as:

290watts=290j/s,d=5000m,v=\frac{5}{6}m/s\\\\\therefore E_c=\frac{d}{v}\times Energy \ usage\\\\=\frac{5000}{\frac{5}{6}}\times 290j/s\\\\=1740000J

Walking is a slower process hence the need for more energy over longer periods  raltive to running the same distance.

Hence walking burns more energy; 1,740,000J. It burns more because you walk for a greater period of time.

5 0
3 years ago
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