Answer:
37.5 J
Explanation:
With work done equation: W=Fs
W=75*0.50=37.5 J
or use mgh=(75)(0.5) which is the same
Answer:
P = 1.29625 W
Explanation:
Given
Q = 85.0 cm ³ / s, p₁ = 110 mmHg, u₁ = 25.0 cm / s, h = 5.0 cm
Also knowing the density of the blood is
ρₐ = 1.05 x 10 ³ kg / m³
Δp₁ = 110 mmHg * 133.322 Pa / 1 mmHg
Q = 85.0 cm³ / s = 85.0 x 10 ⁻⁶ m³ / s
To calculated the power
P = H * Q
H = Δp₁ + ¹/₂ * ρₐ * ( u₁² - v₂²) + ρₐ * g *Δh
H = 14.666 x 10 ³ Pa + 0.5 * 1.05 x 10 ³ kg / m³ * ( 25 x 10 ² m /s )² + 1.05 x 10 ³ kg / m³ * 9.8 m /s² * 0.05 m
H = 15.25 x 10 ³ Pa
P = 15.25 x 10 ³ Pa * 85.0 x 10 ⁻⁶ m³ / s
P = 1.29625 W
(a) 7.18
The electric field within a parallel plate capacitor with dielectric is given by:
(1)
where
is the surface charge density
k is the dielectric constant
is the vacuum permittivity
The area of the plates in this capacitor is
while the charge is
So the surface charge density is
The electric field is
So we can re-arrange eq.(1) to find k:
(b)
The surface charge density induced on each dielectric surface is given by
where
is the initial charge density
k = 7.18 is the dielectric constant
Substituting,
And by multiplying by the area, we find the charge induced on each surface:
All of that is fascinating information. Thank you for sharing.
(b) What must have been the initial horizontal component of the velocity?
(c) What is the vertical component of the velocity just before the ball hits the ground?
(d) What is the velocity (including both the horizontal and vertical components) of the ball just before it hits the ground?
Answer:
Explanation:
Given
height of building (h)=60 m
Range of ball=100 m
(a)time travel to cover a vertical distance of 60 m
t=3.49 s
(b)To cover a range of 100 m
R=ut
(c)vertical component of velocity just before it hits the ground
(d)
The ball is in the air for about 3.5 seconds. The initial horizontal velocity would have been approximately 28.6 m/s. The vertical component of the velocity just before the ball hits the ground is nearly 34.3 m/s. The overall velocity of the ball just prior to impact is roughly 44.6 m/s.
The problem given is about projectile motion which can be approached by splitting the motion into the horizontal and vertical components. We can work out the durations for each.
#SPJ12
Answer:
Electric force,
Explanation:
It is given that,
Charge on the particle,
Electric field,
Let F is the electric force acting on the charged particle. The electric force per unit electric charge is called electric field. Mathematically, it is given by :
So, the force acting on the charged particle is . Hence, this is the required solution.
Answer:
(a) 1.21 m/s
(b) 2303.33 J, 152.27 J
Explanation:
m1 = 95 kg, u1 = - 3.750 m/s, m2 = 113 kg, u2 = 5.38 m/s
(a) Let their velocity after striking is v.
By use of conservation of momentum
Momentum before collision = momentum after collision
m1 x u1 + m2 x u2 = (m1 + m2) x v
- 95 x 3.75 + 113 x 5.38 = (95 + 113) x v
v = ( - 356.25 + 607.94) / 208 = 1.21 m /s
(b) Kinetic energy before collision = 1/2 m1 x u1^2 + 1/2 m2 x u2^2
= 0.5 ( 95 x 3.750 x 3.750 + 113 x 5.38 x 5.38)
= 0.5 (1335.94 + 3270.7) = 2303.33 J
Kinetic energy after collision = 1/2 (m1 + m2) v^2
= 0.5 (95 + 113) x 1.21 x 1.21 = 152.27 J