Answer:
3 hours
Explanation:
Given:
- The speed of Ben v_b = 3 mi/h
- The speed of Amanda v_a = 6 mi/h
- The total time taken to cover distance(d) by ben = t_b
Find:
How long will it be before Amanda catches up to Ben?
Solution:
- The distance d traveled by Ben:
d = v_b*t_b
d = 3*t_b
- The distance d traveled by Amanda:
d = v_a*t_a
d = 6*t_a
- Equate the distance as when they meet:
3*t_b = 6*t_a
- Where ,
t_b = t_a + 1.5
t_a = t_b - 1.5
- Substitute the time relationship in distance relationship:
3*t_b = 6*(t_b - 1.5)
3*t_b = 6*1.5
t_b = 2*1.5 = 3 h
- Hence, It would take 3 hours since Ben starts walking that amanda catches up.
Answer:
The angular momentum and angular velocity are 1.134 kg.m²/s and 174.5 rad/s.
Explanation:
Given that,
Moment of inertia
Torque = 21 N.m
Time dt = 54 ms
(a). We need to calculate the angular momentum
Using formula of torque
Where, dL = angular momentum
t = time
= torque
Put the value into the formula
(b). We need to calculate the angular velocity of the disk
Using formula of angular velocity
Hence, The angular momentum and angular velocity are 1.134 kg.m²/s and 174.5 rad/s.
Answer : The pressure difference required is,
Explanation : Given,
Length of tube = 2.0 m
Diameter of tube = 1.0 mm = 1.0 × 10⁻³
Average speed of water = 4.0 m/s
Viscosity of water at 40°C = 0.7 × 10⁻³
The expression used for pressure difference is:
where,
= pressure difference
= viscosity of water = 0.7 × 10⁻³
L = length of tube = 2.0 m
A = area of tube =
= average speed of water = 4.0 m/s
Now put all the given values in the above expression, we get:
Thus, the pressure difference required is,
Substances evaporate at different rates
<span>p=m*v
360=m*7.2
360/7.2=m
m=50 kg
</span>