Answer:
ΔL = 3.704 10⁻⁴ mm
Explanation:
The body when heated increases the distance between its atoms, which results in a linear expansion of the bodies, which is described in the first approximation by the expression
ΔL = α L Δt
Where alf is the linear expansion coefficient, L the initial length, Dt the temperature variation and DL the length variation
ΔL = 5.50 10⁻⁷ 3.49 (213 - 20)
ΔL = 3.704 10⁻⁴ mm
Answer:
The one with highest velocity
Explanation:
The momentum of an object is given by
![p=mv](https://tex.z-dn.net/?f=p%3Dmv)
where
m is the mass of the car
v is the velocity of the car
In this problem, we have two identical cars: identical means they have same mass, so
![m_1 = m_2 = m](https://tex.z-dn.net/?f=m_1%20%3D%20m_2%20%3D%20m)
The momentum of car 1 is
![p_1 = mv_1](https://tex.z-dn.net/?f=p_1%20%3D%20mv_1)
while the momentum of car 2 is
![p_2 = mv_2](https://tex.z-dn.net/?f=p_2%20%3D%20mv_2)
By comparing the two expressions, we see that the car with greatest momentum is the one with highest velocity, since the mass is the same.
Answer:
Mass, m = 6 kg
Explanation:
Given that,
The momentum of the object, p = 18 kg-m/s
Velocity, v = 3 m/s
We need to find the mass of an object.
The momentum of an object is given by :
p = mv
m is mass of the object
![m=\dfrac{p}{v}\\\\m=\dfrac{18\ kg-m/s}{3\ m/s}\\\\m=6\ kg](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7Bp%7D%7Bv%7D%5C%5C%5C%5Cm%3D%5Cdfrac%7B18%5C%20kg-m%2Fs%7D%7B3%5C%20m%2Fs%7D%5C%5C%5C%5Cm%3D6%5C%20kg)
So, the mass of the object is 6 kg.
Answer:
Ts=51.83C
Explanation:
First we calculate the surface area of the cylinder, neglecting the top and bottom covers as indicated by the question
Cilinder Area= A=πDL
L=200mm=0.2m
D=20mm=0.02m
A=π(0.02m)(0.2m)=0.012566m^2
we use the equation for heat transfer by convection
q=ha(Ts-T)
q= heat=2Kw=2000W
A=Area=0.012566m^2
Ts=surface temperature
T=water temperature=20C
Solving for ts
Ts=q/(ha)+T
Ts=2000/(5000*0.012566m^2)+20=51.83C
Which ramp is going to make the ball travel down faster?
The 2nd ramp because it is steeper and would give the ball a faster push caused by gravity than the 1st ramp.