Answer
given,
mass of car (m) = 1200 Kg
speed of cur, u = 25 m/s
mass of truck(M) = 9000 Kg
speed of truck, u' = 20 m/s
v = 18 m/s
a) using conservation of momentum
m u + M u' = m v + M v'
1200 x 25 + 9000 x 20 = 1200 x 18 + 9000 x v'
9000 v' = 188400
v' = 20.93 m/s
b) To calculate losses, we will find the kinetic energies before & after collision. Any difference would give us the losses (in energy form).
(K E)₁= (K E)₂+ Losses
losses = (K E)₂ - (K E)₁
=
=
=9038 J
Answer:
5*10^25 atoms of carbon
Explanation:
<u>Check from the periodic table:</u>
M(carbon) = 12.01 g/mol
<u>Convert kg into g:</u>
1 kg = 1000 g
<u>Calculate the number of moles of carbon:</u>
n(carbon) = (1000 g) ÷ (12.01 g/mol) = 83.26 mol
<u>Convert moles into number of particles:</u>
#(carbon) = n × NA = 83.26 mol × 6*10^23
= 5*10^25 particles
<em>N</em><em>o</em><em>t</em><em>e</em><em>:</em><em> </em><em>NA represents the Avogadro's Number, which has the value 6.02*10^23 particles/mol</em><em>.</em>
The magnitude of the Earth's acceleration is 
Explanation:
First of all, we start by calculating the magnitude of the force exerted by the apple on the Earth. According to Newton's third law, this is equal to the force exerted by the Earth on the apple, which is the weight of the apple, given by:

where
m = 0.43 kg is the mass of the apple
is the acceleration of gravity
Substituting,

Now we can find the Earth's acceleration by applying Newton's second law:

where:
F = 4.2 N is the net force exerted by the apple on the Earth
is the mass of the Earth
a is the Earth's acceleration
And solving for a, we find:

Learn more about Newton laws of motion:
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Answer: 5.8 kg m/s
Identify the given information.
m = 0.145 kg
v = 40.0 m/s
Choose which formula you should use. In this case, you are finding momentum.
p = mv, where p is momentum.
Substitute and solve.
p = 0.145 kg x 40.0 m/s
p = 5.8 kg m/s