Answer:
Explanation:
Density is defined as d=m/v.
To find mass, the formula transforms into:
m=d*v
m=2700*54.3
m=146610
m=14.6*10^4
A block weighing m1 = 4.50 kg and a ball weighing m2 = 7.70 kg are linked by a light string over a frictionless pulley, as illustrated in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300.
(a) Determine the acceleration of both objects and the tension present in the string.
(b) Verify the acceleration calculation using a systems approach. (Utilize m1, m2, μk, and g as needed.)
(c) If an additional mass is added to the ball, what amount is necessary to augment the downward acceleration by 60%?
In (a), I calculated the acceleration to be 5.10 m/s^2 and the tension to be 36.2N.
In (b), the equation used is a = (m2g-ukm1g)/(m1+m2)
It’s (c) that I am struggling to understand. Can anyone assist me?
Answer:
= 3289.8 m/s
Explanation:
This problem can be approached using momentum definitions.
I = ∫ F dt
We substitute and compute.
I = ∫ (at - bt²) dt
Integrating gives us:
I = a t² / 2 - b t³ / 3
We will evaluate between the limits I=0 for t = 0 ms and higher I=I for t = 2.74 ms:
I = a (2.74² / 2- 0) - b (2.74³ / 3 -0)
I = a 3.754 - b 6.857
Substituting the values for a and b, we find:
I = 1500 3.754 - 20 6.857
I = 5,631 - 137.14
I = 5493.9 N s
Next, we engage the relationship between impulse and momentum:
I = Δp = m
- m v₀o
I = m
- 0
= I / m
= 5493.9 /1.67
= 3289.8 m/s
Both students are correct because they highlight different aspects of waves. Raphael describes the wave in terms of its wavelength, while Lucinda focuses on its frequency, showing that both measurements are valid.
Answer:
-611.32 N/C
0.43723 m
Explanation:
k = Coulomb constant = 
q = Charge = -4.25 nC
r = Distance from particle = 0.25 m
The electric field can be calculated using

The calculated magnitude is 611.32 N/C
The electric field direction is vertically downward due to the negative charge.

The distance from the electric field source is 1.71436 m