Answer:
μs = 0.36
Explanation:
Assuming no other forces acting on the cup while the car is decelerating, the friction force is responsible for any horizontal movement of the cup.
If the cup is on the verge of starting to slide, the friction force can be expressed as follows:
Ff = -μs*N = -μs*m*g
This force produces a deceleration from 45 Kmh to rest, in 3.5 s or more.
Converting 45 kmh to m/s, we have:
We can find the acceleration, just applying the definition, with vf =0, as follows:
According to Newton's 2nd law, we can write the following expression:
F = m*a = -μs*m*g
Simplifying common terms, we can solve for μs, as follows:
μs = 
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Answer:
Explanation:
Given that
re= 46 cm
Vp= 180 m/s
We know that
So
Now by putting the all given values in the questions
So the average electric field is .
Answer:
(a). The initial velocity is 28.58m/s
(b). The speed when touching the ground is 33.3m/s.
Explanation:
The equations governing the position of the projectile are
where 
is the initial velocity.
(a).
When the projectile hits the 50m mark, 
; therefore,
solving for 
we get:
Thus, the projectile must hit the 50m mark in 1.75s, and this condition demands from equation (1) that
which gives
(b).
The horizontal velocity remains unchanged just before the projectile touches the ground because gravity acts only along the vertical direction; therefore,
the vertical component of the velocity is
which gives a speed 
of
Answer:
Position xf is farther away from the sensor than x0, and ax is negative
Explanation:
Area of trapezoidal are=
=
=
=0.6875 m
As the area is positive therefore displacement from xo is positive
ax=(change in velocity)/(Time)
ax=
