Answer:
7)
8)
9)
10)
Explanation:
For the problems 7, 8 and 9 we just apply the definition of acceleration, since no more information is given, which is:
So for each problem we will have:
7)
8)
9)
For the problem 10, we use the equation of velocity in accelerated motion:
Since the ball starts from rest and the acceleration is that of gravity (we take the downward direction positive), we have:
Answer:
The speed of sound for middle C is 345.01 m/s.
Explanation:
Given that,
The frequency of middle C is 261.63 Hz
The wavelength of middle C note used when playing or singing music,
We need to find the speed of sound for middle C. We know that the relation between speed, frequency and wavelength is given by the formula as follows :
So, the speed of sound for middle C is 345.01 m/s. Hence, this is the required solution.
Answer:
θ = 33.8
a = 3.42 m/s²
Explanation:
given data
mass m = 2 kg
coefficient of static friction μs = 0.67
coefficient of kinetic friction μk = 0.25
solution
when block start slide
N = mg cosθ .............1
fs = mg sinθ ...............2
now we divide equation 2 by equation 1 we get
= tanθ
put here value we get
tan θ = 0.67
θ = 33.8
and
when block will slide then we apply newton 2nd law
mg sinθ - fk = ma ...............3
here fk = μk N = μk mg cosθ
so from equation 3 we get
mg sinθ - μk mg cosθ = ma
so a will be
a = (sinθ - μk cosθ)g
put here value and we get
a = (sin33.8 - 0.25 cos33.8) 9.8
a = 3.42 m/s²
D: Parallel is the resulting direction of a surface wave!
Answer:
a) The initial momentum of the ball is 22.5 kg·m/s
b) The magnitude of the momentum imparted by the ball is 30 kg·m/s
Explanation:
The question is based on change in momentum
The mass of the ball, m = 0.75 kg
The velocity with which the ball is thrown against the wall, u = 30 m/s
The time duration it takes while the ball is in contact with the wall, Δt = 0.05 sec
The velocity of the ball as it bounce back, v = -10 m/s (The ball moves in the opposite direction)
a) The initial momentum of the ball, = m × u = 0.75 kg × 30 m/s = 22.5 kg·m/s
b) The final momentum of the ball, = m × v = 0.75 kg × (-10 m/s) = -7.5 kg·m/s
The momentum imparted by the ball, ΔP = The final momentum - The initial momentum
∴ ΔP = - = -7.5 kg·m/s - 22.5 kg·m/s = -30 kg·m/s
The magnitude of the momentum imparted by the ball, = 30 kg·m/s