Answer:
Explanation:
at collision, m has a velocity of √2gR
The center of mass of the system has a velocity of
m(√2gR) + 3m(0) = (m + 3m)v
v = ¼√2gR
The stationary mass (3m) will depart at twice the system center of mass velocity
v(3m) = ½√2gR ANSWER B
The relative velocity before the collision will be the negative of the relative velocity after the collision.
v(m) = ½√2gR - √2gR = -½√2gh ANSWER A
m will rise to a height of v²/2g = (-½√2gR)²/2g = 0.25R
Answer:
t = 4.28 s
Explanation:
The horizontal speed of a marble = 7 m/s
The horizontal displacement covered by the marble = 30 m
We need to find the time for which the marble is in air. Let the time is t. Using the formula for speed to find it as follows :
So, it will in the air for 4.28 s.
Vertically (y-axis), horizontally(x-axis)
dy/dt = -0.125 m/s (-ve since y decreasing )
dx/dt = +0.3 m/s (+ve, x increases)
and, x = 5 m
length of the ladder = k (a constant)
k^2 = x^2 + y^2
differentiating it wrt t,
0 = 2x dx/dt + 2y dy/dt
0 = 2(5)(0.3) + 2(y)(-0.125)
y = 12
which means, when the bottom of the ladder is 5m from the wall, the top of the ladder is 12m from the bottom.
thus, k^2 = 5^2 + 12^2
length of the ladder, k = 13 m
Answer:
147 N
Explanation:
static friction = frictional force max / normal
normal force = mg = 50 kg × 9.8 m/s² = 490 N
0.3 = Frictional force / 490 N
0.3 × 490 N = 147 N
The body will not move because the frictional force is greater than the force applied.
Qualitative data is easy to explain. You either agree or disagree in writing. Wrong. You agree, disagree, or qualify. Meaning agree to somewhat extend, but not entirely. So you can agree that people should walk instead of talk in the progressive manner, but not in the impulsive manner.
