Answer:
25 Nm
Explanation:
Parameters given
Distance of the particle from the origin, r = 2.0 m
Force acting on particle, F = 25 N
Angle of force, θ = 30°
The torque acting on a particle is given as:
τ = r * F * sinθ
Where r = radius of axis of rotation. This is the same as the position of the particle on the x axis.
Therefore, the torque will be:
τ = 2 * 25 * sin30
τ = 25 Nm
The torque acting on the particle is 25 Nm.
Answer:
Applying the law's theory and utilizing the equation of momentum ie. p=mv
Explanation:
The law of conservation of linear momentum states that the momentum in a <em>closed</em> system remains constant. Because a collision is inelastic, this proves that the system is closed. So the equation of momentum is p=mv, p is momentum, m is mass and v is velocity.
Because the momentum is conserved, the momentum (p) before the collision should be equal to the p after the collision, so we can equate them and solve for the unknown:
p=m.v
p(before) = p(after)
m(before) x v(before) = m(after) x v(after)
using this equation, you solve it and this helps you solve collision problems.
Answer:

Explanation:
From the Question we are told that
Mass of A and B is 60kg
Speed of A=2m/s
Speed of B=1m/s
Mass of bag =5kg
Generally the momentum of the astronaut A and bag is mathematically given as


Generally to avoid collision the speed of astronaut be should be less than or equal to that of astronaut A with the bag
Therefore for minimum requirement speed of astronaut A should be given by astronaut B's speed which is equal to 1
Therefore


The velocity of Ned as measured by Pam is the interpretation of v.
Answer: Option D
<u>Explanation:</u>
According to question, we know that this is an issue depending on the logical and translation of the factors. From the measured information taken what is gathered by the two people is communicated and we have given as:
The Ned reference framework : (x, t)
The Pam reference framework : 
From the reference framework, we realize that ν is the speed of Pam (the other reference framework) as estimation by Ned.
At that point,
is the speed of Ned (from the other arrangement of the reference) as estimation by Pam.
Answer:
zero or 2π is maximum
Explanation:
Sine waves can be written
x₁ = A sin (kx -wt + φ₁)
x₂ = A sin (kx- wt + φ₂)
When the wave travels in the same direction
Xt = x₁ + x₂
Xt = A [sin (kx-wt + φ₁) + sin (kx-wt + φ₂)]
We are going to develop trigonometric functions, let's call
a = kx + wt
Xt = A [sin (a + φ₁) + sin (a + φ₂)
We develop breasts of double angles
sin (a + φ₁) = sin a cos φ₁ + sin φ₁ cos a
sin (a + φ₂) = sin a cos φ₂ + sin φ₂ cos a
Let's make the sum
sin (a + φ₁) + sin (a + φ₂) = sin a (cos φ₁ + cos φ₂) + cos a (sin φ₁ + sinφ₂)
to have a maximum of the sine function, the cosine of fi must be maximum
cos φ₁ + cos φ₂ = 1 +1 = 2
the possible values of each phase are
φ1 = 0, π, 2π
φ2 = 0, π, 2π,
so that the phase difference of being zero or 2π is maximum