Answer:
- 0.5 m/s²
Explanation:
m = mass of the clarinet case = 3.230 kg
W = weight of the clarinet case in downward direction
a = vertical acceleration of the case
Weight of the clarinet case is given as
W = mg
W = 3.230 x 9.8
W = 31.654 N
F = Upward force applied = 30.10 N
Force equation for the motion of the case is given as
F - W = ma
30.10 - 31.654 = 3.230 a
a = - 0.5 m/s²
Answer:
Explanation:
specific heat of marble is 880 J/kg °C
specific heat of brass is 920 J/kg °C
If Q heat is given to a body of mass m and specific heat s , and there is a rise of temperature t
Q = m s t
t = Q / m s
if Q and m is constant
t is inversely proportional to specific heat .
so rise in temperature will be inversely proportional to specific heat .
lower the specific heat , higher will be the rise in temperature . Since marble has lower specific heat , rise in temperature in marble will be higher and quicker .
So brass will take longer time to warm up.
Answer:
F = 1.0178 × 10^(-2) dyne
Explanation:
From stokes law, the viscous force also known as drag force on rain drop is given by the formula;
F = 6πηrv
Where;
η is viscosity
r is radius
v is velocity
We are given;
η = 18 × 10^(-5) poise
r = 0.3 mm = 0.03 cm
v = 1 m/s = 100 cm/s
Thus;
F = 6π × 18 × 10^(-5) × 0.03 × 100
F = 1.0178 × 10^(-2) dyne
The height function would be s(t) = -16t^2 + 64t + 32.
Maximum height ---> set s'(t) = 0.
-32t + 64 = 0. ---> t = 2. s(2) = -16(2)^2 + 64(2) + 32 = the maximum height is 96 feet.
To find the velocity when it hits the ground, set s(t) = 0.
-16t^2 + 64t + 32 = 0. Divide by -16.
t^2 - 4t - 2 = 0. The only positive solution is x = 4.45.
s'(4.45) = -32(4.45) + 64 = It's going -78.4 feet/second when it hits the ground.
