Answer:
They don't have equal velocities
Explanation:
We have one bus travelling from Chicago to New York at 30 m/s and one bus travelling from Chicago to San Francisco at 30 m/s.
This is a cheat question. You need to remember that velocity is a vector. Remember that a vector has a direction and a module. So, the answer will be true, if both buses meet both conditions (direction and module). Let's start to analyze:
Module: In this case is 30 m/s for both buses
Direction: In this case is where the buses are heading. One is going to New York, and one is going to San Francisco. So the directions are different.
As module and direction are not the same for both buses we can say that they don't have equal velocities.
Answer:
360N
Explanation:
The frictional force = centripetal force = mass * centripetal acceleration = ma
Since centripetal acceleration = V^2/ r
Frictional force = mv^2 / r
Substitute the values of m = 80kg, radius = 2m and tangential speed = 3m/s
Frictional force = 80 * (3)^2/ 2 = 360N
Answer:
Explanation:
This is a simple Law of Momentum Conservation problem of the inelastic type. The equation for this is
![[m_1v_1+m_2v_2]_b=[(m_1+m_2)v]_a](https://tex.z-dn.net/?f=%5Bm_1v_1%2Bm_2v_2%5D_b%3D%5B%28m_1%2Bm_2%29v%5D_a)
Filling in:
![[1200(4.5)+2100(0)]=[(1200+2100)v]](https://tex.z-dn.net/?f=%5B1200%284.5%29%2B2100%280%29%5D%3D%5B%281200%2B2100%29v%5D)
which simplifies to
5400 + 0 = 3300v
so v = 1.6 m/s to the east, choice B
Answer:
A) 1.88 * 10^17 m
B) 1.22 * 10^34 J
C) 1.95 * 10^34 J
Explanation:
Parameters given:
Mass of planet = 7.00 * 10^25 kg
Radius of orbit = 6.00 * 10^11 m
Force exerted on planet = 6.51 * 10^22 N
Velocity of planet = 2.36 * 10^4 m/s
A) The distance traveled by the planet is half of the circumference of the orbit (which is circular).
The circumference of the orbit is
C = 2 * pi * R
R = radius of orbit
C = 2 * 3.142 * 6.0 * 10¹¹
C = 3.77 * 10¹² m
Hence, distance traveled will be:
D = 0.5 * 3.77 * 10¹²
D = 1.88 * 10 ¹² m/s
B) Work done is given as:
W = F * D
W = 652 * 10²² * 1.88 * 10¹¹
W = 1.22 * 10³⁴ J
C) Change in Kinetic energy is given as:
K. E. = 0.5 * m * v²
K. E. = 0.5 * 7 * 10^25 * (2.36 * 10^4)²
K. E. = 1.95 * 10³⁴ J
